爱上海

志第十二 律历中

夫历(li)(li)(li)(li)者(zhe)(zhe)，纪(ji)阴(yin)阳之(zhi)通变(bian)，极往数(shu)以(yi)(yi)(yi)(yi)知来(lai)，可以(yi)(yi)(yi)(yi)迎日授时(shi)，先天(tian)(tian)成(cheng)务(wu)者(zhe)(zhe)也。然(ran)则悬象(xiang)著明，莫大(da)于(yu)(yu)(yu)(yu)(yu)二曜，气序环(huan)复(fu)，无信于(yu)(yu)(yu)(yu)(yu)四(si)时(shi)。日月相推(tui)而(er)明生(sheng)矣，寒暑迭进而(er)岁成(cheng)焉，遂(sui)(sui)能成(cheng)天(tian)(tian)地之(zhi)文(wen)，极乾坤(kun)之(zhi)变(bian)。天(tian)(tian)数(shu)五(wu)(wu)(wu)，地数(shu)五(wu)(wu)(wu)，五(wu)(wu)(wu)位相乘而(er)各有合。天(tian)(tian)数(shu)二十(shi)有五(wu)(wu)(wu)，地数(shu)三(san)十(shi)，凡天(tian)(tian)地之(zhi)数(shu)五(wu)(wu)(wu)十(shi)有五(wu)(wu)(wu)，所以(yi)(yi)(yi)(yi)成(cheng)变(bian)化而(er)行(xing)鬼神也。乾之(zhi)策(ce)二百(bai)一十(shi)有六(liu)，坤(kun)之(zhi)策(ce)一百(bai)四(si)十(shi)有四(si)，凡三(san)百(bai)六(liu)十(shi)，以(yi)(yi)(yi)(yi)当(dang)(dang)期(qi)之(zhi)日也。至(zhi)乃(nai)阴(yin)阳迭用(yong)。刚柔相摩，四(si)象(xiang)既(ji)陈(chen)，八卦成(cheng)列，此乃(nai)造文(wen)之(zhi)元始，创(chuang)历(li)(li)(li)(li)之(zhi)厥初者(zhe)(zhe)欤？洎(ji)乎(hu)炎(yan)帝分(fen)八节，轩辕(yuan)建(jian)五(wu)(wu)(wu)部，少(shao)昊以(yi)(yi)(yi)(yi)凤鸟司历(li)(li)(li)(li)，颛顼以(yi)(yi)(yi)(yi)南(nan)正(zheng)司天(tian)(tian)，陶唐则分(fen)命(ming)和(he)(he)仲(zhong)，夏后(hou)乃(nai)备陈(chen)《鸿范(fan)》，汤武(wu)革命(ming)，咸(xian)(xian)(xian)率旧章。然(ran)文(wen)质既(ji)殊，正(zheng)朔斯革，故天(tian)(tian)子(zi)(zi)(zi)置(zhi)日官(guan)(guan)，诸侯有日御，以(yi)(yi)(yi)(yi)和(he)(he)万国，以(yi)(yi)(yi)(yi)协三(san)辰。至(zhi)于(yu)(yu)(yu)(yu)(yu)寒暑晦明之(zhi)徵，阴(yin)阳生(sheng)杀之(zhi)数(shu)，启闭升降之(zhi)纪(ji)，消息盈虚之(zhi)节，皆应(ying)躔次而(er)不(bu)淫，遂(sui)(sui)得(de)该浃生(sheng)灵，堪舆天(tian)(tian)地，开物成(cheng)务(wu)，致(zhi)远钩深。周(zhou)德既(ji)衰(shuai)，史官(guan)(guan)废职，畴人(ren)分(fen)散，禨祥莫理。秦兼天(tian)(tian)下，颇推(tui)五(wu)(wu)(wu)胜，自以(yi)(yi)(yi)(yi)获水(shui)德之(zhi)瑞，以(yi)(yi)(yi)(yi)十(shi)月为正(zheng)。汉(han)氏初兴(xing)，多所未(wei)(wei)暇，百(bai)有余(yu)载，犹(you)行(xing)秦历(li)(li)(li)(li)。至(zhi)于(yu)(yu)(yu)(yu)(yu)孝武(wu)，改用(yong)夏正(zheng)。时(shi)有古(gu)历(li)(li)(li)(li)六(liu)家，学者(zhe)(zhe)疑其纰缪(mou)，刘向父子(zi)(zi)(zi)，咸(xian)(xian)(xian)加(jia)讨论，班固因(yin)之(zhi)，采以(yi)(yi)(yi)(yi)为志(zhi)。光武(wu)中(zhong)兴(xing)，未(wei)(wei)能详(xiang)考(kao)。逮于(yu)(yu)(yu)(yu)(yu)永平之(zhi)末(mo)，乃(nai)复(fu)改行(xing)四(si)分(fen)，七十(shi)余(yu)年(nian)(nian)，仪式(shi)方(fang)备。其后(hou)复(fu)命(ming)刘洪、蔡邕，共修律历(li)(li)(li)(li)，司马(ma)彪用(yong)之(zhi)以(yi)(yi)(yi)(yi)续(xu)《班史》。当(dang)(dang)涂受(shou)命(ming)，亦(yi)(yi)有史官(guan)(guan)，韩翊(yi)创(chuang)之(zhi)于(yu)(yu)(yu)(yu)(yu)前，杨(yang)伟继之(zhi)于(yu)(yu)(yu)(yu)(yu)后(hou)，咸(xian)(xian)(xian)遵刘洪之(zhi)术，未(wei)(wei)及洪之(zhi)深妙。中(zhong)、左两晋，迭有增损(sun)。至(zhi)于(yu)(yu)(yu)(yu)(yu)西(xi)凉，亦(yi)(yi)为蔀法，事迹(ji)纠纷，未(wei)(wei)能详(xiang)记。宋氏元嘉，何(he)承(cheng)天(tian)(tian)造历(li)(li)(li)(li)，迄于(yu)(yu)(yu)(yu)(yu)齐末(mo)，相仍用(yong)之(zhi)。梁武(wu)初兴(xing)，因(yin)循齐旧，天(tian)(tian)监中(zhong)年(nian)(nian)，方(fang)改行(xing)宋祖(zu)冲(chong)之(zhi)《甲(jia)子(zi)(zi)(zi)元历(li)(li)(li)(li)》。陈(chen)武(wu)受(shou)禅(shan)，亦(yi)(yi)无创(chuang)改。后(hou)齐文(wen)宣，用(yong)宋景(jing)业历(li)(li)(li)(li)。西(xi)魏入关，行(xing)李业兴(xing)历(li)(li)(li)(li)。逮于(yu)(yu)(yu)(yu)(yu)周(zhou)武(wu)帝，乃(nai)有甄(zhen)鸾(luan)造《甲(jia)寅元历(li)(li)(li)(li)》，遂(sui)(sui)参用(yong)推(tui)步(bu)焉。大(da)象(xiang)之(zhi)初，太(tai)史上(shang)(shang)士马(ma)显(xian)，又上(shang)(shang)《丙寅元历(li)(li)(li)(li)》，便(bian)即行(xing)用(yong)。迄于(yu)(yu)(yu)(yu)(yu)开皇四(si)年(nian)(nian)，乃(nai)改用(yong)张宾历(li)(li)(li)(li)，十(shi)七年(nian)(nian)，复(fu)行(xing)张胄玄历(li)(li)(li)(li)，至(zhi)于(yu)(yu)(yu)(yu)(yu)义宁。今采梁天(tian)(tian)监以(yi)(yi)(yi)(yi)来(lai)五(wu)(wu)(wu)代(dai)损(sun)益(yi)之(zhi)要(yao)，以(yi)(yi)(yi)(yi)著于(yu)(yu)(yu)(yu)(yu)篇云。

梁初因(yin)齐，用(yong)(yong)(yong)(yong)宋(song)《元嘉历(li)(li)(li)》。天监三(san)年(nian)下(xia)诏定历(li)(li)(li)，员外(wai)散骑侍郎祖(zu)�鲪a(heng)奏曰： “臣先(xian)在(zai)晋已来，世居(ju)此(ci)职。仰(yang)寻黄(huang)帝至(zhi)(zhi)今(jin)(jin)十(shi)(shi)二(er)代，历(li)(li)(li)元不同(tong)，周天、斗分，疏(shu)密(mi)亦异，当代用(yong)(yong)(yong)(yong)之(zhi)，各垂(chui)一(yi)法。宋(song)大明中，臣先(xian)人(ren)考古法，以为正历(li)(li)(li)，垂(chui)之(zhi)于(yu)后，事皆符验，不可改张。”八年(nian)，�鲪a(heng)又上(shang)疏(shu)论之(zhi)。诏使太(tai)史令将(jiang)匠道秀(xiu)等，候新旧(jiu)二(er)历(li)(li)(li)气(qi)朔、交(jiao)会及七(qi)曜行度，起(qi)八年(nian)十(shi)(shi)一(yi)月，讫九(jiu)年(nian)七(qi)月，新历(li)(li)(li)密(mi)，旧(jiu)历(li)(li)(li)疏(shu)。�鲪a(heng)乃奏称：“史官今(jin)(jin)所用(yong)(yong)(yong)(yong)何承(cheng)天历(li)(li)(li)，稍与(yu)天乖，纬绪参差，不可承(cheng)案(an)。被诏付灵台，与(yu)新历(li)(li)(li)对课疏(shu)密(mi)，前期百(bai)日，并(bing)又再(zai)申。始自去冬(dong)，终于(yu)今(jin)(jin)朔，得失(shi)之(zhi)效(xiao)，并(bing)已月别启闻。夫七(qi)曜运(yun)行，理数深妙，一(yi)失(shi)其源，则岁积弥爽。所上(shang)脱(tuo)可施用(yong)(yong)(yong)(yong)，宜在(zai)来正。” 至(zhi)(zhi)九(jiu)年(nian)正月，用(yong)(yong)(yong)(yong)祖(zu)冲之(zhi)所造(zao)《甲子(zi)元历(li)(li)(li)》颁朔。至(zhi)(zhi)大同(tong)十(shi)(shi)年(nian)，制诏更造(zao)新历(li)(li)(li)，以甲子(zi)为元，六百(bai)一(yi)十(shi)(shi)九(jiu)为章岁，一(yi)千(qian)五百(bai)三(san)十(shi)(shi)六为日法，一(yi)百(bai)八十(shi)(shi)三(san)年(nian)冬(dong)至(zhi)(zhi)差一(yi)度，月朔以迟疾(ji)定其小余(yu)，有三(san)大二(er)小。未(wei)及施用(yong)(yong)(yong)(yong)而遭侯景乱，遂寝。

陈(chen)氏因梁(liang)，亦用(yong)祖冲之(zhi)(zhi)(zhi)历(li)，更(geng)无所(suo)创(chuang)改(gai)(gai)。后(hou)齐(qi)(qi)文宣受禅，命散骑侍郎宋景业叶图谶(chen)，造《天(tian)(tian)保历(li)》。景业奏：依《握(wo)诚图》及(ji)《元(yuan)(yuan)(yuan)(yuan)命包》，言(yan)(yan)(yan)齐(qi)(qi)受录之(zhi)(zhi)(zhi)期(qi)，当(dang)魏终之(zhi)(zhi)(zhi)纪(ji)，得(de)乘三(san)十(shi)(shi)(shi)五以(yi)(yi)为(wei)(wei)(wei)蔀(bu)，应(ying)六(liu)(liu)(liu)百(bai)(bai)(bai)七(qi)(qi)十(shi)(shi)(shi)六(liu)(liu)(liu)以(yi)(yi)为(wei)(wei)(wei)章(zhang)。”文宣大悦，乃施用(yong)之(zhi)(zhi)(zhi)。期(qi)历(li)统曰：“上元(yuan)(yuan)(yuan)(yuan)甲(jia)子，至(zhi)(zhi)天(tian)(tian)保元(yuan)(yuan)(yuan)(yuan)年(nian)(nian)(nian)庚午，积十(shi)(shi)(shi)一万(wan)(wan)五百(bai)(bai)(bai)六(liu)(liu)(liu)算外(wai)，章(zhang)岁六(liu)(liu)(liu)百(bai)(bai)(bai)七(qi)(qi)十(shi)(shi)(shi)六(liu)(liu)(liu)，度法(fa)二(er)万(wan)(wan)三(san)千(qian)(qian)六(liu)(liu)(liu)百(bai)(bai)(bai)六(liu)(liu)(liu)十(shi)(shi)(shi)，斗(dou)分(fen)(fen)五千(qian)(qian)七(qi)(qi)百(bai)(bai)(bai)八十(shi)(shi)(shi)七(qi)(qi)，历(li)余十(shi)(shi)(shi)六(liu)(liu)(liu)万(wan)(wan)二(er)千(qian)(qian)二(er)百(bai)(bai)(bai)六(liu)(liu)(liu)十(shi)(shi)(shi)一。”至(zhi)(zhi)后(hou)主(zhu)武平(ping)(ping)七(qi)(qi)年(nian)(nian)(nian)，董峻、郑元(yuan)(yuan)(yuan)(yuan)伟立(li)议非之(zhi)(zhi)(zhi)曰：“宋景业移闰于(yu)(yu)(yu)(yu)天(tian)(tian)正(zheng)，退(tui)命于(yu)(yu)(yu)(yu)冬至(zhi)(zhi)交(jiao)会之(zhi)(zhi)(zhi)际，承二(er)大之(zhi)(zhi)(zhi)后(hou)，三(san)月(yue)之(zhi)(zhi)(zhi)交(jiao)，妄(wang)减平(ping)(ping)分(fen)(fen)。臣(chen)案，景业学非探赜，识殊深解，有心改(gai)(gai)作，多依旧章(zhang)，唯写子换母(mu)，颇有变革，妄(wang)诞(dan)穿凿，不会真理。乃使日(ri)(ri)之(zhi)(zhi)(zhi)所(suo)在，差(cha)(cha)至(zhi)(zhi)八度，节气后(hou)天(tian)(tian)，闰先一月(yue)。朔(shuo)望亏食，既未能(neng)知(zhi)其表里，迟(chi)疾(ji)(ji)之(zhi)(zhi)(zhi)历(li)步(bu)，又不可以(yi)(yi)傍(bang)通(tong)。妄(wang)设平(ping)(ping)分(fen)(fen)，虚(xu)退(tui)冬至(zhi)(zhi)，虚(xu)退(tui)则(ze)日(ri)(ri)数减于(yu)(yu)(yu)(yu)周年(nian)(nian)(nian)，平(ping)(ping)分(fen)(fen)妄(wang)设，故加时差(cha)(cha)于(yu)(yu)(yu)(yu)异日(ri)(ri)。五星见伏(fu)，有违二(er)旬，迟(chi)疾(ji)(ji)逆留，或乖两宿。轨(gui)褵之(zhi)(zhi)(zhi)术，妄(wang)刻(ke)(ke)水(shui)旱(han)。今上《甲(jia)寅元(yuan)(yuan)(yuan)(yuan)历(li)》，并以(yi)(yi)六(liu)(liu)(liu)百(bai)(bai)(bai)五十(shi)(shi)(shi)七(qi)(qi)为(wei)(wei)(wei)章(zhang)，二(er)万(wan)(wan)二(er)千(qian)(qian)三(san)百(bai)(bai)(bai)三(san)十(shi)(shi)(shi)八为(wei)(wei)(wei)蔀(bu)，五千(qian)(qian)四(si)百(bai)(bai)(bai)六(liu)(liu)(liu)十(shi)(shi)(shi)一为(wei)(wei)(wei)斗(dou)分(fen)(fen)，甲(jia)寅岁甲(jia)子日(ri)(ri)为(wei)(wei)(wei)元(yuan)(yuan)(yuan)(yuan)纪(ji)。”又有广平(ping)(ping)人(ren)刘孝孙(sun)(sun)、张(zhang)孟宾(bin)二(er)人(ren)，同知(zhi)历(li)事。孟宾(bin)受业于(yu)(yu)(yu)(yu)张(zhang)子信(xin)，并弃旧事，更(geng)制新(xin)法(fa)。又有赵道(dao)严，准晷(gui)影之(zhi)(zhi)(zhi)长短，定(ding)日(ri)(ri)行之(zhi)(zhi)(zhi)进退(tui)，更(geng)造盈缩，以(yi)(yi)求亏食之(zhi)(zhi)(zhi)期(qi)。刘孝孙(sun)(sun)以(yi)(yi)百(bai)(bai)(bai)一十(shi)(shi)(shi)九(jiu)(jiu)为(wei)(wei)(wei)章(zhang)，八千(qian)(qian)四(si)十(shi)(shi)(shi)七(qi)(qi)为(wei)(wei)(wei)纪(ji)，九(jiu)(jiu)百(bai)(bai)(bai)六(liu)(liu)(liu)十(shi)(shi)(shi)六(liu)(liu)(liu)为(wei)(wei)(wei)岁余，甲(jia)子为(wei)(wei)(wei)上元(yuan)(yuan)(yuan)(yuan)，命日(ri)(ri)度起虚(xu)中。张(zhang)孟宾(bin)以(yi)(yi)六(liu)(liu)(liu)百(bai)(bai)(bai)一十(shi)(shi)(shi)九(jiu)(jiu)为(wei)(wei)(wei)章(zhang)，四(si)万(wan)(wan)八1千(qian)(qian)九(jiu)(jiu)百(bai)(bai)(bai)为(wei)(wei)(wei)纪(ji)，九(jiu)(jiu)百(bai)(bai)(bai)四(si)十(shi)(shi)(shi)八为(wei)(wei)(wei)日(ri)(ri)法(fa)， 万(wan)(wan)四(si)千(qian)(qian)九(jiu)(jiu)百(bai)(bai)(bai)四(si)十(shi)(shi)(shi)五为(wei)(wei)(wei)斗(dou)分(fen)(fen)。元(yuan)(yuan)(yuan)(yuan)纪(ji)共(gong)命，法(fa)略旨远。日(ri)(ri)月(yue)五星，并从(cong)斗(dou)十(shi)(shi)(shi)一起。盈缩转(zhuan)度，阴阳(yang)分(fen)(fen)至(zhi)(zhi)，与漏(lou)刻(ke)(ke)相(xiang)符，共(gong)日(ri)(ri)影俱合(he)，循(xun)转(zhuan)无穷。上拒春秋，下(xia)尽(jin)天(tian)(tian)统，日(ri)(ri)月(yue)亏食及(ji)五星所(suo)在，以(yi)(yi)二(er)人(ren)新(xin)法(fa)考(kao)之(zhi)(zhi)(zhi)，无有不合(he)。其年(nian)(nian)(nian)，讫干敬(jing)礼及(ji)历(li)家豫刻(ke)(ke)日(ri)(ri)食疏密。六(liu)(liu)(liu)月(yue)戊(wu)申(shen)朔(shuo)，太阳(yang)亏，刘孝孙(sun)(sun)言(yan)(yan)(yan)食于(yu)(yu)(yu)(yu)卯时，张(zhang)孟宾(bin)言(yan)(yan)(yan)食于(yu)(yu)(yu)(yu)甲(jia)时，郑元(yuan)(yuan)(yuan)(yuan)伟、董峻言(yan)(yan)(yan)食于(yu)(yu)(yu)(yu)辰(chen)时，宋景业言(yan)(yan)(yan)食于(yu)(yu)(yu)(yu)巳时。至(zhi)(zhi)日(ri)(ri)食，乃于(yu)(yu)(yu)(yu)卯甲(jia)之(zhi)(zhi)(zhi)间，其言(yan)(yan)(yan)皆(jie)不能(neng)中。争(zheng)论未定(ding)，遂属国亡。

西魏入关，尚行李业兴《正光历(li)(li)(li)》法(fa)。至周(zhou)(zhou)明帝武(wu)成元(yuan)(yuan)(yuan)年(nian)，始诏(zhao)有司造周(zhou)(zhou)历(li)(li)(li)。于是露门学士明克(ke)让(rang)、麟趾学士庾(yu)季才及(ji)诸日(ri)者(zhe)，采祖�鲪a旧议，通简(jian)南(nan)北之术。自斯已后，颇观其谬，故(gu)周(zhou)(zhou)、齐并时，而(er)历(li)(li)(li)差(cha)一(yi)(yi)(yi)(yi)日(ri)。克(ke)让(rang)儒者(zhe)，不处(chu)日(ri)官，以其书(shu)下于太(tai)史。及(ji)武(wu)帝时，甄鸾造《天和历(li)(li)(li)》。上(shang)元(yuan)(yuan)(yuan)甲寅至天和元(yuan)(yuan)(yuan)年(nian)丙(bing)戌，积八(ba)十(shi)(shi)(shi)(shi)七(qi)(qi)万(wan)五千(qian)七(qi)(qi)百(bai)(bai)九(jiu)十(shi)(shi)(shi)(shi)二算外，章(zhang)岁(sui)三(san)(san)百(bai)(bai)九(jiu)十(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)，蔀法(fa)二万(wan)三(san)(san)千(qian)四百(bai)(bai)六十(shi)(shi)(shi)(shi)，日(ri)法(fa)二十(shi)(shi)(shi)(shi)九(jiu)万(wan)一(yi)(yi)(yi)(yi)百(bai)(bai)六十(shi)(shi)(shi)(shi)，朔余十(shi)(shi)(shi)(shi)五万(wan)三(san)(san)千(qian)九(jiu)百(bai)(bai)九(jiu)十(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)，斗分五千(qian)七(qi)(qi)百(bai)(bai)三(san)(san)十(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)，会余九(jiu)万(wan)三(san)(san)千(qian)五百(bai)(bai)一(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)六，历(li)(li)(li)余一(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)六万(wan)八(ba)百(bai)(bai)三(san)(san)十(shi)(shi)(shi)(shi)，冬至斗十(shi)(shi)(shi)(shi)五度(du)，参用(yong)推步(bu)。终(zhong)于宣政元(yuan)(yuan)(yuan)年(nian)。大象(xiang)元(yuan)(yuan)(yuan)年(nian)，太(tai)史上(shang)士马显等(deng)，又上(shang)《丙(bing)寅元(yuan)(yuan)(yuan)历(li)(li)(li)》，抗表奏曰：

臣(chen)案九(jiu)(jiu)章(zhang)五(wu)(wu)(wu)纪(ji)之(zhi)(zhi)旨，三统四(si)分之(zhi)(zhi)说，咸以(yi)节宣发(fa)敛(lian)，考(kao)详(xiang)晷纬，布(bu)政(zheng)授时(shi)(shi)，以(yi)为(wei)(wei)皇极者也。而乾(qian)维难测，斗宪(xian)易差，盈缩(suo)之(zhi)(zhi)期(qi)致舛，咎徵之(zhi)(zhi)道斯应(ying)。宁(ning)止蛇或乘龙(long)，水能沴(li)火，因亦(yi)(yi)玉(yu)羊掩曜(yao)，金鸡(ji)丧精。王化关以(yi)盛衰，有(you)国由其隆(long)替，历(li)(li)(li)(li)之(zhi)(zhi)时(shi)(shi)义，于斯为(wei)(wei)重(zhong)。自(zi)炎汉已还，迄于有(you)魏，运经四(si)代，事涉(she)千年，日御天官，不乏于世，命元(yuan)(yuan)班朔(shuo)，互有(you)沿改(gai)。验近则(ze)叠璧(bi)应(ying)辰(chen)，经远则(ze)连(lian)珠失次，义难循(xun)旧，其在兹乎？大周(zhou)受图(tu)膺(ying)录，牢笼万(wan)(wan)古，时(shi)(shi)夏乘殷，斟酌前代，历(li)(li)(li)(li)变壬子，元(yuan)(yuan)用(yong)甲(jia)寅(yin)。高祖(zu)武皇帝索(suo)隐探赜(ze)，尽(jin)性穷理，以(yi)为(wei)(wei)此(ci)历(li)(li)(li)(li)虽行(xing)，未臻其妙，爰降诏(zhao)旨，博(bo)访(fang)时(shi)(shi)贤，并敕太史(shi)上(shang)(shang)士马(ma)显(xian)等(deng)，更(geng)(geng)事刊定，务(wu)得其宜。然术艺之(zhi)(zhi)士，各封异(yi)见，凡所上(shang)(shang)历(li)(li)(li)(li)，合有(you)八(ba)家(jia)，精粗(cu)踳驳，未能尽(jin)善(shan)。去(qu)年冬，孝宣皇帝乃诏(zhao)臣(chen)等(deng)，监考(kao)疏密，更(geng)(geng)令(ling)同(tong)造。谨案史(shi)曹旧簿及诸家(jia)法数(shu)，弃短取长(zhang)，共定今术。开元(yuan)(yuan)发(fa)统，肇自(zi)丙寅(yin)，至(zhi)于两曜(yao)亏食，五(wu)(wu)(wu)星伏见，参校积(ji)时(shi)(shi)，最为(wei)(wei)精密。庶铁炭轻重(zhong)，无失寒燠之(zhi)(zhi)宜，灰箭(jian)飞浮，不爽阴(yin)阳(yang)之(zhi)(zhi)度。上(shang)(shang)元(yuan)(yuan)丙寅(yin)至(zhi)大象(xiang)元(yuan)(yuan)年己亥，积(ji)四(si)万(wan)(wan)一(yi)(yi)千五(wu)(wu)(wu)百(bai)(bai)(bai)五(wu)(wu)(wu)十(shi)(shi)(shi)(shi)(shi)四(si)算上(shang)(shang)。日法五(wu)(wu)(wu)万(wan)(wan)三千五(wu)(wu)(wu)百(bai)(bai)(bai)六(liu)(liu)十(shi)(shi)(shi)(shi)(shi)三，亦(yi)(yi)名蔀会(hui)法。章(zhang)岁四(si)百(bai)(bai)(bai)四(si)十(shi)(shi)(shi)(shi)(shi)八(ba)，斗分三千一(yi)(yi)百(bai)(bai)(bai)六(liu)(liu)十(shi)(shi)(shi)(shi)(shi)七，蔀法一(yi)(yi)万(wan)(wan)二(er)千九(jiu)(jiu)百(bai)(bai)(bai)九(jiu)(jiu)十(shi)(shi)(shi)(shi)(shi)二(er)。章(zhang)中(zhong)为(wei)(wei)章(zhang)会(hui)法。日法五(wu)(wu)(wu)万(wan)(wan)三千五(wu)(wu)(wu)百(bai)(bai)(bai)六(liu)(liu)十(shi)(shi)(shi)(shi)(shi)三，历(li)(li)(li)(li)余二(er)万(wan)(wan)九(jiu)(jiu)千六(liu)(liu)百(bai)(bai)(bai)九(jiu)(jiu)十(shi)(shi)(shi)(shi)(shi)三，会(hui)日百(bai)(bai)(bai)七十(shi)(shi)(shi)(shi)(shi)三，会(hui)余一(yi)(yi)万(wan)(wan)六(liu)(liu)千六(liu)(liu)百(bai)(bai)(bai)一(yi)(yi)十(shi)(shi)(shi)(shi)(shi)九(jiu)(jiu)，冬至(zhi)日在斗十(shi)(shi)(shi)(shi)(shi)二(er)度。小周(zhou)余、盈缩(suo)积(ji)，其历(li)(li)(li)(li)术别推入蔀会(hui)，分用(yong)阳(yang)率四(si)百(bai)(bai)(bai)九(jiu)(jiu)十(shi)(shi)(shi)(shi)(shi)九(jiu)(jiu)，阴(yin)率九(jiu)(jiu)。每十(shi)(shi)(shi)(shi)(shi)二(er)月下各有(you)日月蚀转分，推步加(jia)减(jian)之(zhi)(zhi)，乃为(wei)(wei)定蚀大小余，而求加(jia)时(shi)(shi)之(zhi)(zhi)正。

其术施(shi)行。时高(gao)祖(zu)作辅(fu)，方(fang)行禅(shan)代(dai)之(zhi)(zhi)(zhi)事，欲(yu)以符命曜于(yu)天下。道士(shi)(shi)张(zhang)(zhang)宾(bin)，揣知上(shang)(shang)意，自云玄相(xiang)，洞晓(xiao)星历，因盛言有(you)代(dai)谢之(zhi)(zhi)(zhi)徵，又称上(shang)(shang)仪表(biao)非人(ren)臣相(xiang)。由是大被知遇，恆在幕府。及受禅(shan)之(zhi)(zhi)(zhi)初，擢宾(bin)为(wei)华州刺(ci)史(shi)，使与仪同(tong)刘(liu)晖(hui)、骠骑将(jiang)军董琳、索卢县公(gong)祐、前太史(shi)上(shang)(shang)士(shi)(shi)马显、太学博士(shi)(shi)郑元伟(wei)、前保章(zhang)上(shang)(shang)士(shi)(shi)任悦(yue)、开府掾(yuan)张(zhang)(zhang)撤、前荡边将(jiang)军张(zhang)(zhang)膺之(zhi)(zhi)(zhi)、校书郎衡(heng)洪建、太史(shi)监候粟相(xiang)、太史(shi)司历郭翟、刘(liu)宜、兼算学博士(shi)(shi)张(zhang)(zhang)乾叙、门(men)下参人(ren)王君瑞、荀隆(long)伯等，议造新历，仍令太常卿卢贲监之(zhi)(zhi)(zhi)。宾(bin)等依(yi)何承天法(fa)，微加增(zeng)损，四年二(er)月(yue)撰成奏(zou)上(shang)(shang)。高(gao)祖(zu)下诏曰：“张(zhang)(zhang)宾(bin)等存心(xin)算数，通(tong)洽古(gu)今(jin)，每有(you)陈闻，多所启(qi)沃。毕功表(biao)奏(zou)，具(ju)已(yi)披览(lan)。使后(hou)月(yue)复育，不出前晦之(zhi)(zhi)(zhi)宵(xiao)，前月(yue)之(zhi)(zhi)(zhi)余，罕留后(hou)朔之(zhi)(zhi)(zhi)旦(dan)。减朓就朒，悬殊(shu)旧准。月(yue)行表(biao)里(li)，厥途乃异，日交弗食，由循阳道。验时转算，不越纤(xian)毫，逖德前修(xiu)，斯秘(mi)未启(qi)。有(you)一于(yu)此，实(shi)为(wei)精密，宜颁天下，依(yi)法(fa)施(shi)用(yong)。”

张宾所造历法(fa)，其要：

以上元甲子已来，至开皇四年(nian)岁(sui)在(zai)甲辰，积四百(bai)一(yi)十二万九(jiu)千一(yi)，算上。

蔀法，一十万二千九百六十。

　　 章岁，四百二十九。

　　 章月，五千三百六。

　　 通月，五百三十七万二千二百九。

　　 日法，一十八万一千九百二十。

　　 斗分，二万五千六十三。

　　 会月，一千二百九十七。

　　 会率，二百二十一。

　　 会数，一百一十半。

　　 会分，一十一亿八千七百二十五万八千一百八十九。

　　 会日法，四千二十万四千三百二十。

　　 会日，百七十三。

　　 余，五万六千一百四十三。

　　 小分，一百一十。

　　 交法，五亿一千二百一十万四千八百。

　　 交分法，二千八百一十五。

　　 阴阳历，一十三。

　　 余，十一万二百六十三。

　　 小分，二千三百二十八。

　　 朔差，二。

　　 余，五万七千九百二十一。

　　 小分，九百七十四。

　　 蚀限，一十二。

　　 余，八万一千三百三。

　　 小分，四百三十三半。

　　 定差，四万四千五百四十八。

　　 周日，二十七。

　　 余，一十万八百五十九。亦名少大法

　　 木精曰岁星，合率四千一百六万三千八百八十九。

　　 火精曰荧惑，合率八千二十九万七千九百二十六。

　　 土精曰镇星，合率三千八百九十二万五千四百一十三。

　　 金精曰太白，合率六千一十一万九千六百五十五。

　　 水精曰辰星，合率一千一百九十三万一千一百二十五。

　　 张宾(bin)所创之(zhi)(zhi)(zhi)历(li)(li)既行，刘(liu)孝(xiao)孙与(yu)冀(ji)州秀(xiu)才刘(liu)焯，并称(cheng)其(qi)(qi)失，言(yan)学无师法(fa)(fa)(fa)(fa)，刻食(shi)不(bu)(bu)(bu)中(zhong)，所驳凡(fan)有(you)(you)(you)(you)六条：其(qi)(qi)一云(yun)，何(he)承天(tian)(tian)不(bu)(bu)(bu)知(zhi)分(fen)(fen)闰之(zhi)(zhi)(zhi)有(you)(you)(you)(you)失，而(er)(er)用十(shi)九年之(zhi)(zhi)(zhi)七闰。其(qi)(qi)二(er)云(yun)，宾(bin)等(deng)(deng)不(bu)(bu)(bu)解宿度之(zhi)(zhi)(zhi)差(cha)改(gai)，而(er)(er)冬至之(zhi)(zhi)(zhi)日(ri)(ri)(ri)(ri)守常度。其(qi)(qi)三(san)云(yun)，连珠合璧，七曜(yao)须同，乃(nai)以(yi)五(wu)(wu)星(xing)别元(yuan)。其(qi)(qi)四云(yun)，宾(bin)等(deng)(deng)唯(wei)知(zhi)日(ri)(ri)(ri)(ri)气(qi)(qi)余分(fen)(fen)恰(qia)尽(jin)而(er)(er)为(wei)立(li)元(yuan)之(zhi)(zhi)(zhi)法(fa)(fa)(fa)(fa)，不(bu)(bu)(bu)知(zhi)日(ri)(ri)(ri)(ri)月(yue)(yue)不(bu)(bu)(bu)合，不(bu)(bu)(bu)成(cheng)朔(shuo)(shuo)旦冬至。其(qi)(qi)五(wu)(wu)云(yun)，宾(bin)等(deng)(deng)但(dan)守立(li)元(yuan)定(ding)法(fa)(fa)(fa)(fa)，不(bu)(bu)(bu)须明有(you)(you)(you)(you)进(jin)退。其(qi)(qi)六云(yun)，宾(bin)等(deng)(deng)唯(wei)识转(zhuan)加大(da)(da)余二(er)十(shi)九以(yi)为(wei)朔(shuo)(shuo)，不(bu)(bu)(bu)解取日(ri)(ri)(ri)(ri)月(yue)(yue)合会(hui)准以(yi)为(wei)定(ding)。此(ci)六事微(wei)妙，历(li)(li)数大(da)(da)纲，圣贤(xian)之(zhi)(zhi)(zhi)通术(shu)，而(er)(er)晖(hui)未(wei)晓此(ci)，实管窥之(zhi)(zhi)(zhi)谓也(ye)。若乃(nai)验影定(ding)气(qi)(qi)，何(he)氏所优，宾(bin)等(deng)(deng)推(tui)测，去之(zhi)(zhi)(zhi)弥(mi)远。合朔(shuo)(shuo)顺天(tian)(tian)，何(he)氏所劣，宾(bin)等(deng)(deng)依据，循彼迷踪。盖是(shi)失其(qi)(qi)菁华，得(de)其(qi)(qi)糠粃者也(ye)。又云(yun)，魏明帝(di)(di)时(shi)，有(you)(you)(you)(you)尚(shang)书(shu)郎杨伟，修(xiu)《景初历(li)(li)》，乃(nai)上表(biao)立(li)义，驳难(nan)前(qian)(qian)非(fei)，云(yun)：“加时(shi)后(hou)天(tian)(tian)，食(shi)不(bu)(bu)(bu)在(zai)朔(shuo)(shuo)。”然观杨伟之(zhi)(zhi)(zhi)意(yi)，故(gu)以(yi)食(shi)朔(shuo)(shuo)为(wei)真，未(wei)能详之(zhi)(zhi)(zhi)而(er)(er)制其(qi)(qi)法(fa)(fa)(fa)(fa)。至宋元(yuan)嘉中(zhong)，何(he)承天(tian)(tian)著历(li)(li)，其(qi)(qi)上表(biao)云(yun)：“月(yue)(yue)行不(bu)(bu)(bu)定(ding)，或有(you)(you)(you)(you)迟疾，合朔(shuo)(shuo)月(yue)(yue)食(shi)，不(bu)(bu)(bu)在(zai)朔(shuo)(shuo)望，亦(yi)非(fei)历(li)(li)之(zhi)(zhi)(zhi)意(yi)也(ye)。”然承天(tian)(tian)本意(yi)，欲立(li)合朔(shuo)(shuo)之(zhi)(zhi)(zhi)术(shu)，遭皮延(yan)宗饰(shi)非(fei)致难(nan)，故(gu)事不(bu)(bu)(bu)得(de)行。至后(hou)魏献帝(di)(di)时(shi)，有(you)(you)(you)(you)龙宜弟复修(xiu)延(yan)兴(xing)之(zhi)(zhi)(zhi)历(li)(li)，又上表(biao)云(yun)：“日(ri)(ri)(ri)(ri)食(shi)不(bu)(bu)(bu)在(zai)朔(shuo)(shuo)，而(er)(er)习之(zhi)(zhi)(zhi)不(bu)(bu)(bu)废，据《春秋(qiu)》书(shu)食(shi)，乃(nai)天(tian)(tian)之(zhi)(zhi)(zhi)验朔(shuo)(shuo)也(ye)。”此(ci)三(san)人者，前(qian)(qian)代善(shan)历(li)(li)，皆有(you)(you)(you)(you)其(qi)(qi)意(yi)，未(wei)正其(qi)(qi)书(shu)。但(dan)历(li)(li)数所重，唯(wei)在(zai)朔(shuo)(shuo)气(qi)(qi)。朔(shuo)(shuo)为(wei)朝会(hui)之(zhi)(zhi)(zhi)首，气(qi)(qi)为(wei)生长之(zhi)(zhi)(zhi)端，朔(shuo)(shuo)有(you)(you)(you)(you)告饩之(zhi)(zhi)(zhi)文，气(qi)(qi)有(you)(you)(you)(you)郊迎之(zhi)(zhi)(zhi)典(dian)，故(gu)孔子命历(li)(li)而(er)(er)定(ding)朔(shuo)(shuo)旦冬至，以(yi)为(wei)将来之(zhi)(zhi)(zhi)范。今孝(xiao)孙历(li)(li)法(fa)(fa)(fa)(fa)，并按明文，以(yi)月(yue)(yue)行迟疾定(ding)其(qi)(qi)合朔(shuo)(shuo)，欲今食(shi)必在(zai)朔(shuo)(shuo)，不(bu)(bu)(bu)在(zai)晦(hui)、二(er)之(zhi)(zhi)(zhi)日(ri)(ri)(ri)(ri)也(ye)。纵使频月(yue)(yue)一小、三(san)大(da)(da)，得(de)天(tian)(tian)之(zhi)(zhi)(zhi)统。大(da)(da)抵其(qi)(qi)法(fa)(fa)(fa)(fa)有(you)(you)(you)(you)三(san)，今列(lie)之(zhi)(zhi)(zhi)云(yun)。

第(di)一(yi)，勘(kan)日食证恆在(zai)朔。

引《诗》云(yun)(yun)：“十(shi)(shi)月之(zhi)交，朔(shuo)(shuo)日(ri)(ri)(ri)辛卯，日(ri)(ri)(ri)有(you)食(shi)(shi)之(zhi)。”今(jin)以(yi)甲子(zi)元(yuan)历术(shu)推(tui)算，符合不差。《春秋经(jing)》书日(ri)(ri)(ri)食(shi)(shi)三十(shi)(shi)五。二十(shi)(shi)七(qi)日(ri)(ri)(ri)食(shi)(shi)，经(jing)书有(you)朔(shuo)(shuo)，推(tui)与(yu)甲子(zi)元(yuan)历不差。八(ba)食(shi)(shi)，经(jing)书并无朔(shuo)(shuo)字。《左氏传》云(yun)(yun)：“不书朔(shuo)(shuo)，官失之(zhi)也。”《公羊(yang)传》云(yun)(yun)： “不言朔(shuo)(shuo)者(zhe)，食(shi)(shi)二日(ri)(ri)(ri)也。“《谷(gu)梁传》云(yun)(yun)：“不言朔(shuo)(shuo)者(zhe)，食(shi)(shi)晦也。”今(jin)以(yi)甲子(zi)元(yuan)历推(tui)算，俱(ju)是朔(shuo)(shuo)日(ri)(ri)(ri)。丘明受(shou)经(jing)夫子(zi)，于理尤详，《公羊(yang)》、《谷(gu)梁》皆臆说也。

《春秋左(zuo)氏》隐公三年二月(yue)己巳，日(ri)有(you)食之(zhi)。推合己巳朔

庄公十八年春三月，日有食之(zhi)。推合壬(ren)子朔(shuo)

僖公十二年(nian)三(san)月庚午(wu)，日有(you)食之(zhi)。推合庚午(wu)朔

十五年夏(xia)五月，日有(you)食之。推合癸(gui)未(wei)朔

襄公十五(wu)年秋八(ba)月丁巳(si)，日有食(shi)之。推合(he)丁巳(si)朔

前、后汉及(ji)魏、晋四代所(suo)记日(ri)食，朔(shuo)、晦及(ji)先晦，都合一(yi)百八十一(yi)，今(jin)以甲子元历术推之，并(bing)合朔(shuo)日(ri)而食。

前汉合有四十(shi)五食(shi)(shi)。三(san)食(shi)(shi)并(bing)先(xian)晦一(yi)日，三(san)十(shi)二食(shi)(shi)并(bing)皆晦日，十(shi)食(shi)(shi)并(bing)是朔日

后(hou)汉合有七十(shi)四食。三(san)十(shi)七食并皆(jie)晦日(ri)(ri)，三(san)十(shi)七食并皆(jie)朔日(ri)(ri)

魏合有十(shi)四食(shi)(shi)。四食(shi)(shi)并(bing)皆晦日，十(shi)食(shi)(shi)并(bing)皆朔日

晋(jin)合(he)有(you)四十八食。二(er)十五食并皆(jie)晦日，二(er)十三食并皆(jie)朔日

第二，勘度差变验。

《尚书》云：“日(ri)(ri)(ri)短星昴，以(yi)(yi)正仲(zhong)冬(dong)(dong)。”即是唐尧(yao)(yao)之(zhi)(zhi)时(shi)，冬(dong)(dong)至(zhi)(zhi)(zhi)之(zhi)(zhi)日(ri)(ri)(ri)，日(ri)(ri)(ri)在(zai)(zai)(zai)危宿，合(he)昏(hun)之(zhi)(zhi)时(shi)，昴正午。案《竹书纪年(nian)(nian)》，尧(yao)(yao)元年(nian)(nian)丙子。今以(yi)(yi)甲(jia)(jia)子元历(li)术推算得合(he)尧(yao)(yao)时(shi)冬(dong)(dong)至(zhi)(zhi)(zhi)之(zhi)(zhi)日(ri)(ri)(ri)，合(he)昏(hun)之(zhi)(zhi)时(shi)，昴星正午。《汉(han)(han)书》武帝太初(chu)(chu)(chu)元年(nian)(nian)丁丑岁(sui)，落下闳等考(kao)定(ding)太初(chu)(chu)(chu)历(li)冬(dong)(dong)至(zhi)(zhi)(zhi)之(zhi)(zhi)日(ri)(ri)(ri)，日(ri)(ri)(ri)在(zai)(zai)(zai)牵(qian)牛(niu)初(chu)(chu)(chu)。今以(yi)(yi)甲(jia)(jia)子元历(li)术算，即得斗(dou)(dou)末牛(niu)初(chu)(chu)(chu)矣。晋时(shi)有姜(jiang)岌，又以(yi)(yi)月食验(yan)于日(ri)(ri)(ri)度(du)(du)(du)，知(zhi)冬(dong)(dong)至(zhi)(zhi)(zhi)之(zhi)(zhi)日(ri)(ri)(ri)日(ri)(ri)(ri)在(zai)(zai)(zai)斗(dou)(dou)十七度(du)(du)(du)。宋文帝元嘉十年(nian)(nian)癸(gui)酉岁(sui)，何承天考(kao)验(yan)乾(qian)度(du)(du)(du)，亦知(zhi)冬(dong)(dong)至(zhi)(zhi)(zhi)之(zhi)(zhi)日(ri)(ri)(ri)日(ri)(ri)(ri)在(zai)(zai)(zai)斗(dou)(dou)十七度(du)(du)(du)。虽言冬(dong)(dong)至(zhi)(zhi)(zhi)后上三(san)(san)日(ri)(ri)(ri)，前后通融，只合(he)在(zai)(zai)(zai)斗(dou)(dou)十七度(du)(du)(du)。但尧(yao)(yao)年(nian)(nian)汉(han)(han)日(ri)(ri)(ri)，所(suo)在(zai)(zai)(zai)既殊，唯晋及宋，所(suo)在(zai)(zai)(zai)未改，故(gu)知(zhi)其度(du)(du)(du)，理(li)有变差。至(zhi)(zhi)(zhi)今大(da)隋(sui)甲(jia)(jia)辰之(zhi)(zhi)岁(sui)，考(kao)定(ding)历(li)数象(xiang)，以(yi)(yi)稽(ji)天道，知(zhi)冬(dong)(dong)至(zhi)(zhi)(zhi)之(zhi)(zhi)日(ri)(ri)(ri)日(ri)(ri)(ri)在(zai)(zai)(zai)斗(dou)(dou)十三(san)(san)度(du)(du)(du)。

第三，勘气影长验。

《春秋纬命历序》云：“鲁僖公五年(nian)正月壬子(zi)朔(shuo)旦冬(dong)至。”今以甲(jia)子(zi)元(yuan)历术(shu)推算，得合不差(cha)。《宋书》元(yuan)嘉十年(nian)，何承天以土圭测影，知冬(dong)至已(yi)差(cha)三日。诏使付外考(kao)验，起元(yuan)嘉十三年(nian)为始(shi)，毕(bi)元(yuan)嘉二(er)十年(nian)，八年(nian)之中，冬(dong)至之日恆(heng)与(yu)影长(zhang)之日差(cha)校三日。今以甲(jia)子(zi)元(yuan)历术(shu)推算，但是(shi)冬(dong)至之日恆(heng)与(yu)影长(zhang)之符合不差(cha)。详之如左：

十三年丙子，

　　 天正十八日历注冬至，

　　 十五日影长，

　　 即是今历冬至日。

　　 十四年丁丑，

　　 天正二十九日历注冬至，

　　 二十六日影长，

　　 即是今历冬至日。

　　 十五年戊寅，

　　 天正十一日历注冬至，

　　 阴，无影可验，

　　 今历八日冬至。

　　 十六年己卯，

　　 天正二十一日历注冬至，

　　 十八日影长，

　　 即是今历冬至日。

　　 十七年庚辰，

　　 天正二日历注冬至，

　　 十月二十九日影长，

　　 即是今历冬至日。

　　 十八年辛巳，

　　 天正十三日历注冬至，

　　 十日影长，

　　 即是今历冬至日。

　　 十九年壬午，

　　 天正二十九日历注冬至，

　　 阴，无影可验，

　　 今历二十二日冬至。

　　 二十年癸未，

　　 天正六日历注冬至，

　　 三日影长，

　　 即是今历冬至日。

　　 于(yu)时新历(li)(li)初颁，宾有宠于(yu)高(gao)(gao)祖，刘(liu)(liu)晖(hui)(hui)附会之(zhi)(zhi)，被升(sheng)为(wei)(wei)太史(shi)(shi)令(ling)。二(er)人协议(yi)，共(gong)短(duan)(duan)孝(xiao)孙(sun)(sun)(sun)(sun)，言其(qi)非毁天历(li)(li)，率意迂怪，焯又(you)(you)妄相扶证，惑乱时人。孝(xiao)孙(sun)(sun)(sun)(sun)、焯等(deng)，竟以(yi)他事(shi)斥罢(ba)(ba)。后(hou)宾死，孝(xiao)孙(sun)(sun)(sun)(sun)为(wei)(wei)掖(ye)县丞，委(wei)官(guan)入京，又(you)(you)上(shang)，前后(hou)为(wei)(wei)刘(liu)(liu)晖(hui)(hui)所诘，事(shi)寝(qin)不(bu)行。仍留(liu)孝(xiao)孙(sun)(sun)(sun)(sun)直太史(shi)(shi)，累年不(bu)调，寓宿观(guan)台。乃(nai)抱其(qi)书(shu)，弟子(zi)舆榇，来(lai)诣阙下，伏而恸哭。执(zhi)法(fa)拘以(yi)奏之(zhi)(zhi)，高(gao)(gao)祖异(yi)焉，以(yi)问国子(zi)祭酒何妥。妥言其(qi)善，即(ji)日(ri)擢授(shou)大都督，遣与(yu)宾历(li)(li)比校短(duan)(duan)长。先是信都人张胄玄(xuan)(xuan)(xuan)，以(yi)算术直太史(shi)(shi)，久(jiu)未知名(ming)。至是与(yu)孝(xiao)孙(sun)(sun)(sun)(sun)共(gong)短(duan)(duan)宾历(li)(li)，异(yi)论锋(feng)起，久(jiu)之(zhi)(zhi)不(bu)定。至十(shi)(shi)四年七月，上(shang)令(ling)参问日(ri)食事(shi)。杨素(su)等(deng)奏：“太史(shi)(shi)凡奏日(ri)食二(er)十(shi)(shi)有五，唯一晦三朔，依(yi)克而食，尚不(bu)得(de)其(qi)时，又(you)(you)不(bu)知所起，他皆(jie)无(wu)验。胄玄(xuan)(xuan)(xuan)所克，前后(hou)妙衷，时起分数(shu)，合如符契。孝(xiao)孙(sun)(sun)(sun)(sun)所克，验亦过半。”于(yu)是高(gao)(gao)祖引孝(xiao)孙(sun)(sun)(sun)(sun)、胄玄(xuan)(xuan)(xuan)等(deng)，亲自(zi)劳徠。孝(xiao)孙(sun)(sun)(sun)(sun)因请先斩刘(liu)(liu)晖(hui)(hui)，乃(nai)可(ke)定历(li)(li)。高(gao)(gao)祖不(bu)怿，又(you)(you)罢(ba)(ba)之(zhi)(zhi)。俄(e)而孝(xiao)孙(sun)(sun)(sun)(sun)卒，杨素(su)、牛弘等(deng)伤惜之(zhi)(zhi)，又(you)(you)荐(jian)胄玄(xuan)(xuan)(xuan)。上(shang)召见之(zhi)(zhi)，胄玄(xuan)(xuan)(xuan)因言日(ri)长影(ying)短(duan)(duan)之(zhi)(zhi)事(shi)，高(gao)(gao)祖大悦(yue)，赏赐(ci)甚厚，令(ling)与(yu)参定新术。刘(liu)(liu)焯闻胄玄(xuan)(xuan)(xuan)进用，又(you)(you)增损(sun)孝(xiao)孙(sun)(sun)(sun)(sun)历(li)(li)法(fa)，更名(ming)《七曜(yao)新术》，以(yi)奏之(zhi)(zhi)。与(yu)胄玄(xuan)(xuan)(xuan)之(zhi)(zhi)法(fa)，颇相乖爽，袁充与(yu)胄玄(xuan)(xuan)(xuan)害之(zhi)(zhi)。焯又(you)(you)罢(ba)(ba)。至十(shi)(shi)七年，胄玄(xuan)(xuan)(xuan)历(li)(li)成，奏之(zhi)(zhi)。上(shang)付杨素(su)等(deng)校其(qi)短(duan)(duan)长。刘(liu)(liu)晖(hui)(hui)与(yu)国子(zi)助教王頍等(deng)执(zhi)旧历(li)(li)术，迭(die)相驳难，与(yu)司(si)历(li)(li)刘(liu)(liu)宜援据古史(shi)(shi)影(ying)等(deng)，驳胄玄(xuan)(xuan)(xuan)云：

《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》僖公(gong)五(wu)年(nian)(nian)天(tian)(tian)正(zheng)(zheng)壬(ren)(ren)子(zi)朔(shuo)(shuo)(shuo)(shuo)旦(dan)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)至(zhi)(zhi)(zhi)(zhi)(zhi)，《左(zuo)氏(shi)传(chuan)(chuan)(chuan)》僖公(gong)五(wu)年(nian)(nian)正(zheng)(zheng)月(yue)辛(xin)(xin)亥朔(shuo)(shuo)(shuo)(shuo)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)南至(zhi)(zhi)(zhi)(zhi)(zhi)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)，天(tian)(tian)正(zheng)(zheng)壬(ren)(ren)子(zi)朔(shuo)(shuo)(shuo)(shuo)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，合(he)(he)(he)《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》，差(cha)(cha)(cha)《传(chuan)(chuan)(chuan)》一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)，天(tian)(tian)正(zheng)(zheng)壬(ren)(ren)子(zi)朔(shuo)(shuo)(shuo)(shuo)，合(he)(he)(he)《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》，差(cha)(cha)(cha)《传(chuan)(chuan)(chuan)》一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)；三(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)甲(jia)(jia)(jia)寅(yin)(yin)(yin)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》二(er)(er)(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，差(cha)(cha)(cha)《传(chuan)(chuan)(chuan)》三(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。成公(gong)十(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)(er)(er)年(nian)(nian)，《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》天(tian)(tian)正(zheng)(zheng)辛(xin)(xin)卯朔(shuo)(shuo)(shuo)(shuo)旦(dan)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)至(zhi)(zhi)(zhi)(zhi)(zhi)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)，天(tian)(tian)正(zheng)(zheng)辛(xin)(xin)卯朔(shuo)(shuo)(shuo)(shuo)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，合(he)(he)(he)《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)，天(tian)(tian)正(zheng)(zheng)辛(xin)(xin)卯朔(shuo)(shuo)(shuo)(shuo)，合(he)(he)(he)《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》；二(er)(er)(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)壬(ren)(ren)辰(chen)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。昭公(gong)二(er)(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)年(nian)(nian)，《春秋左(zuo)氏(shi)传(chuan)(chuan)(chuan)》二(er)(er)(er)(er)(er)月(yue)己(ji)(ji)(ji)丑朔(shuo)(shuo)(shuo)(shuo)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)南至(zhi)(zhi)(zhi)(zhi)(zhi)，准《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》庚寅(yin)(yin)(yin)朔(shuo)(shuo)(shuo)(shuo)旦(dan)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)至(zhi)(zhi)(zhi)(zhi)(zhi)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)，天(tian)(tian)正(zheng)(zheng)庚寅(yin)(yin)(yin)朔(shuo)(shuo)(shuo)(shuo)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，并合(he)(he)(he)《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》，差(cha)(cha)(cha)《传(chuan)(chuan)(chuan)》一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)，天(tian)(tian)正(zheng)(zheng)庚寅(yin)(yin)(yin)朔(shuo)(shuo)(shuo)(shuo)，合(he)(he)(he)《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》，差(cha)(cha)(cha)《传(chuan)(chuan)(chuan)》一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)；二(er)(er)(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)辛(xin)(xin)卯冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，差(cha)(cha)(cha)《传(chuan)(chuan)(chuan)》二(er)(er)(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。宜案《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》及《春秋左(zuo)氏(shi)传(chuan)(chuan)(chuan)》，并闰(run)余尽(jin)之岁(sui)，皆须朔(shuo)(shuo)(shuo)(shuo)旦(dan)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)。若依《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》勘《春秋》三(san)十(shi)(shi)(shi)(shi)(shi)七食(shi)，合(he)(he)(he)处至(zhi)(zhi)(zhi)(zhi)(zhi)多；若依《左(zuo)传(chuan)(chuan)(chuan)》，合(he)(he)(he)者至(zhi)(zhi)(zhi)(zhi)(zhi)少(shao)，是以知《传(chuan)(chuan)(chuan)》为错。今张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄信(xin)情(qing)置闰(run)，《命(ming)(ming)(ming)(ming)历(li)(li)(li)(li)(li)(li)(li)(li)序(xu)(xu)(xu)(xu)》及《传(chuan)(chuan)(chuan)》气朔(shuo)(shuo)(shuo)(shuo)并差(cha)(cha)(cha)。又宋(song)元(yuan)嘉冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)影(ying)有七，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)者五(wu)，差(cha)(cha)(cha)者二(er)(er)(er)(er)(er)，亦在前(qian)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)者三(san)，差(cha)(cha)(cha)者四，在后(hou)(hou)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。元(yuan)嘉十(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)(er)(er)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)月(yue)甲(jia)(jia)(jia)寅(yin)(yin)(yin)朔(shuo)(shuo)(shuo)(shuo)，十(shi)(shi)(shi)(shi)(shi)五(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)戊辰(chen)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)长(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)戊辰(chen)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)己(ji)(ji)(ji)巳冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。十(shi)(shi)(shi)(shi)(shi)三(san)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)月(yue)己(ji)(ji)(ji)酉(you)(you)朔(shuo)(shuo)(shuo)(shuo)，二(er)(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)甲(jia)(jia)(jia)戌(xu)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)长(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)癸酉(you)(you)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)前(qian)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)甲(jia)(jia)(jia)戌(xu)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)。十(shi)(shi)(shi)(shi)(shi)五(wu)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)月(yue)丁(ding)卯朔(shuo)(shuo)(shuo)(shuo)，十(shi)(shi)(shi)(shi)(shi)八日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)甲(jia)(jia)(jia)申冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)长(zhang)(zhang)。二(er)(er)(er)(er)(er)历(li)(li)(li)(li)(li)(li)(li)(li)并合(he)(he)(he)甲(jia)(jia)(jia)申冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)。十(shi)(shi)(shi)(shi)(shi)六(liu)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)月(yue)辛(xin)(xin)酉(you)(you)朔(shuo)(shuo)(shuo)(shuo)，二(er)(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)九日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)己(ji)(ji)(ji)丑冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)长(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)己(ji)(ji)(ji)丑冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)庚寅(yin)(yin)(yin)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。十(shi)(shi)(shi)(shi)(shi)七年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)月(yue)乙(yi)(yi)酉(you)(you)朔(shuo)(shuo)(shuo)(shuo)，十(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)甲(jia)(jia)(jia)午(wu)(wu)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)长(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)甲(jia)(jia)(jia)午(wu)(wu)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)乙(yi)(yi)未冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。十(shi)(shi)(shi)(shi)(shi)八年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)月(yue)己(ji)(ji)(ji)卯朔(shuo)(shuo)(shuo)(shuo)，二(er)(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)己(ji)(ji)(ji)亥冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)长(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)己(ji)(ji)(ji)亥冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)庚子(zi)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。十(shi)(shi)(shi)(shi)(shi)九年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)月(yue)癸卯朔(shuo)(shuo)(shuo)(shuo)，三(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)乙(yi)(yi)巳冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，影(ying)长(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)历(li)(li)(li)(li)(li)(li)(li)(li)甲(jia)(jia)(jia)辰(chen)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)前(qian)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)玄历(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)乙(yi)(yi)巳冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)。

又周从(cong)天(tian)和(he)(he)元年(nian)(nian)丙(bing)戌至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)开(kai)皇(huang)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五年(nian)(nian)乙(yi)卯，合(he)(he)(he)(he)(he)得冬(dong)(dong)(dong)(dong)(dong)(dong)夏(xia)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)(si)(si)(si)(si)(si)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)得者十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)，差(cha)(cha)(cha)(cha)(cha)者四(si)(si)(si)(si)(si)(si)，三(san)差(cha)(cha)(cha)(cha)(cha)前(qian)(qian)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)者五，差(cha)(cha)(cha)(cha)(cha)者九(jiu)(jiu)，八(ba)差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)差(cha)(cha)(cha)(cha)(cha)前(qian)(qian)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。天(tian)和(he)(he)二(er)(er)(er)(er)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)戊(wu)(wu)戌朔(shuo)(shuo)(shuo)(shuo)(shuo)，三(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)庚(geng)子冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)庚(geng)子冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)辛丑冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。三(san)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)壬(ren)(ren)辰(chen)朔(shuo)(shuo)(shuo)(shuo)(shuo)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)(si)(si)(si)(si)(si)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)乙(yi)巳(si)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)乙(yi)巳(si)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)丙(bing)午(wu)(wu)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。建(jian)(jian)德元年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)己(ji)(ji)亥(hai)朔(shuo)(shuo)(shuo)(shuo)(shuo)，二(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九(jiu)(jiu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)丁卯冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)丙(bing)寅(yin)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)前(qian)(qian)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)丁卯冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)。二(er)(er)(er)(er)年(nian)(nian)五月(yue)(yue)(yue)(yue)(yue)丙(bing)寅(yin)朔(shuo)(shuo)(shuo)(shuo)(shuo)，三(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)戊(wu)(wu)辰(chen)夏(xia)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)短。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)己(ji)(ji)巳(si)夏(xia)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)庚(geng)午(wu)(wu)夏(xia)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)二(er)(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。三(san)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)戊(wu)(wu)午(wu)(wu)朔(shuo)(shuo)(shuo)(shuo)(shuo)，二(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)丁丑冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)丁丑冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)戊(wu)(wu)寅(yin)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。六年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)庚(geng)午(wu)(wu)朔(shuo)(shuo)(shuo)(shuo)(shuo)，二(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)壬(ren)(ren)辰(chen)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)壬(ren)(ren)辰(chen)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)癸(gui)巳(si)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。宣政元年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)甲(jia)午(wu)(wu)朔(shuo)(shuo)(shuo)(shuo)(shuo)，五日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)戊(wu)(wu)戌冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。两历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)并合(he)(he)(he)(he)(he)戊(wu)(wu)戌冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)。开(kai)皇(huang)四(si)(si)(si)(si)(si)(si)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)己(ji)(ji)未朔(shuo)(shuo)(shuo)(shuo)(shuo)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)己(ji)(ji)巳(si)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)己(ji)(ji)巳(si)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)庚(geng)午(wu)(wu)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。五年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)甲(jia)寅(yin)朔(shuo)(shuo)(shuo)(shuo)(shuo)，二(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)乙(yi)亥(hai)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)甲(jia)戌冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)前(qian)(qian)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)庚(geng)辰(chen)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)。七年(nian)(nian)五月(yue)(yue)(yue)(yue)(yue)乙(yi)亥(hai)朔(shuo)(shuo)(shuo)(shuo)(shuo)，九(jiu)(jiu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)癸(gui)未夏(xia)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)短。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)壬(ren)(ren)午(wu)(wu)夏(xia)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)前(qian)(qian)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)癸(gui)未夏(xia)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)壬(ren)(ren)申朔(shuo)(shuo)(shuo)(shuo)(shuo)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)(si)(si)(si)(si)(si)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)乙(yi)酉(you)(you)(you)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)乙(yi)酉(you)(you)(you)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)丙(bing)戌冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)己(ji)(ji)卯朔(shuo)(shuo)(shuo)(shuo)(shuo)，二(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)八(ba)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)丙(bing)午(wu)(wu)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)影(ying)(ying)(ying)(ying)长(zhang)(zhang)(zhang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)丙(bing)午(wu)(wu)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)丁未冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)(si)(si)(si)(si)(si)年(nian)(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)辛酉(you)(you)(you)朔(shuo)(shuo)(shuo)(shuo)(shuo)旦冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)辛酉(you)(you)(you)朔(shuo)(shuo)(shuo)(shuo)(shuo)旦冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)月(yue)(yue)(yue)(yue)(yue)辛酉(you)(you)(you)朔(shuo)(shuo)(shuo)(shuo)(shuo)，二(er)(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)壬(ren)(ren)戌冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。建(jian)(jian)德四(si)(si)(si)(si)(si)(si)年(nian)(nian)四(si)(si)(si)(si)(si)(si)月(yue)(yue)(yue)(yue)(yue)大、乙(yi)酉(you)(you)(you)朔(shuo)(shuo)(shuo)(shuo)(shuo)，三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)甲(jia)寅(yin)，月(yue)(yue)(yue)(yue)(yue)晨见(jian)东(dong)(dong)(dong)方(fang)(fang)(fang)。张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)四(si)(si)(si)(si)(si)(si)月(yue)(yue)(yue)(yue)(yue)大、乙(yi)酉(you)(you)(you)朔(shuo)(shuo)(shuo)(shuo)(shuo)，三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)甲(jia)寅(yin)，月(yue)(yue)(yue)(yue)(yue)晨见(jian)东(dong)(dong)(dong)方(fang)(fang)(fang)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)四(si)(si)(si)(si)(si)(si)月(yue)(yue)(yue)(yue)(yue)小、乙(yi)酉(you)(you)(you)朔(shuo)(shuo)(shuo)(shuo)(shuo)，五月(yue)(yue)(yue)(yue)(yue)大，甲(jia)寅(yin)朔(shuo)(shuo)(shuo)(shuo)(shuo)，月(yue)(yue)(yue)(yue)(yue)晨见(jian)东(dong)(dong)(dong)方(fang)(fang)(fang)。宜案影(ying)(ying)(ying)(ying)极长(zhang)(zhang)(zhang)为(wei)(wei)冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，影(ying)(ying)(ying)(ying)极短为(wei)(wei)夏(xia)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)，二(er)(er)(er)(er)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)自古史(shi)分可勘者二(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)(si)(si)(si)(si)(si)，其二(er)(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)有影(ying)(ying)(ying)(ying)，三(san)有至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)无影(ying)(ying)(ying)(ying)。见(jian)行历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)八(ba)，差(cha)(cha)(cha)(cha)(cha)者六。旅骑尉(wei)张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)合(he)(he)(he)(he)(he)者八(ba)，差(cha)(cha)(cha)(cha)(cha)者一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)六，二(er)(er)(er)(er)差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)二(er)(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)(si)(si)(si)(si)(si)差(cha)(cha)(cha)(cha)(cha)后(hou)(hou)一(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。又开(kai)皇(huang)四(si)(si)(si)(si)(si)(si)年(nian)(nian)，在洛州测冬(dong)(dong)(dong)(dong)(dong)(dong)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)影(ying)(ying)(ying)(ying)，与京师二(er)(er)(er)(er)处，进退丝毫不(bu)(bu)差(cha)(cha)(cha)(cha)(cha)。周天(tian)和(he)(he)已来案验并在后(hou)(hou)。更检得建(jian)(jian)德四(si)(si)(si)(si)(si)(si)年(nian)(nian)，晦朔(shuo)(shuo)(shuo)(shuo)(shuo)东(dong)(dong)(dong)见(jian)；张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)，五月(yue)(yue)(yue)(yue)(yue)朔(shuo)(shuo)(shuo)(shuo)(shuo)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，月(yue)(yue)(yue)(yue)(yue)晨见(jian)东(dong)(dong)(dong)方(fang)(fang)(fang)。今十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七年(nian)(nian)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)宾(bin)(bin)(bin)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)闰(run)七月(yue)(yue)(yue)(yue)(yue)，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)闰(run)五月(yue)(yue)(yue)(yue)(yue)。又审至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)以定闰(run)，胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)至(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)(zhi)既不(bu)(bu)当，故(gu)知置闰(run)必乖。见(jian)行历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)四(si)(si)(si)(si)(si)(si)月(yue)(yue)(yue)(yue)(yue)、五月(yue)(yue)(yue)(yue)(yue)频大，张(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)(zhang)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)历(li)(li)(li)(li)(li)(li)(li)(li)(li)(li)九(jiu)(jiu)月(yue)(yue)(yue)(yue)(yue)、十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)月(yue)(yue)(yue)(yue)(yue)频大，为(wei)(wei)胄(zhou)(zhou)(zhou)(zhou)玄(xuan)(xuan)(xuan)(xuan)朔(shuo)(shuo)(shuo)(shuo)(shuo)弱，频大在后(hou)(hou)晨，故(gu)朔(shuo)(shuo)(shuo)(shuo)(shuo)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)残月(yue)(yue)(yue)(yue)(yue)晨见(jian)东(dong)(dong)(dong)方(fang)(fang)(fang)。

宜又案开皇(huang)四(si)年(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)月(yue)(yue)(yue)(yue)(yue)(yue)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)癸卯(mao)，依历(li)(li)(li)月(yue)(yue)(yue)(yue)(yue)(yue)行在(zai)(zai)(zai)鬼三(san)(san)(san)(san)(san)度(du)(du)(du)，时(shi)(shi)加(jia)(jia)酉，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)卯(mao)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)九(jiu)(jiu)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)西(xi)(xi)北(bei)(bei)。今(jin)(jin)伺(si)候(hou)，一(yi)(yi)更一(yi)(yi)筹(chou)(chou)(chou)起(qi)(qi)(qi)(qi)(qi)(qi)食(shi)(shi)东(dong)北(bei)(bei)角，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)，至(zhi)四(si)筹(chou)(chou)(chou)还(hai)生(sheng)(sheng)，至(zhi)二(er)(er)(er)更一(yi)(yi)筹(chou)(chou)(chou)复(fu)(fu)(fu)(fu)(fu)满(man)(man)(man)。五(wu)(wu)(wu)(wu)(wu)年(nian)六(liu)(liu)月(yue)(yue)(yue)(yue)(yue)(yue)三(san)(san)(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)，依历(li)(li)(li)太阳(yang)亏(kui)(kui)(kui)，日(ri)(ri)(ri)(ri)(ri)在(zai)(zai)(zai)七(qi)星(xing)六(liu)(liu)度(du)(du)(du)，加(jia)(jia)时(shi)(shi)在(zai)(zai)(zai)午(wu)(wu)少强(qiang)(qiang)(qiang)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)一(yi)(yi)半(ban)(ban)(ban)强(qiang)(qiang)(qiang)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)西(xi)(xi)南(nan)(nan)角。今(jin)(jin)伺(si)候(hou)，日(ri)(ri)(ri)(ri)(ri)乃(nai)在(zai)(zai)(zai)午(wu)(wu)后(hou)(hou)六(liu)(liu)刻上(shang)(shang)(shang)(shang)始食(shi)(shi)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)西(xi)(xi)北(bei)(bei)角，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)六(liu)(liu)，至(zhi)未(wei)后(hou)(hou)一(yi)(yi)刻还(hai)生(sheng)(sheng)，至(zhi)五(wu)(wu)(wu)(wu)(wu)刻复(fu)(fu)(fu)(fu)(fu)满(man)(man)(man)。六(liu)(liu)年(nian)六(liu)(liu)月(yue)(yue)(yue)(yue)(yue)(yue)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)，依历(li)(li)(li)太阴(yin)亏(kui)(kui)(kui)，加(jia)(jia)时(shi)(shi)酉，在(zai)(zai)(zai)卯(mao)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)九(jiu)(jiu)半(ban)(ban)(ban)弱(ruo)(ruo)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)西(xi)(xi)南(nan)(nan)，当(dang)其时(shi)(shi)阴(yin)云(yun)不(bu)见月(yue)(yue)(yue)(yue)(yue)(yue)。至(zhi)辰(chen)(chen)巳(si)(si)(si)，云(yun)里见月(yue)(yue)(yue)(yue)(yue)(yue)，已食(shi)(shi)三(san)(san)(san)(san)(san)分(fen)(fen)之(zhi)二(er)(er)(er)，亏(kui)(kui)(kui)从东(dong)北(bei)(bei)，既(ji)还(hai)云(yun)合。至(zhi)巳(si)(si)(si)午(wu)(wu)间稍生(sheng)(sheng)，至(zhi)午(wu)(wu)后(hou)(hou)，云(yun)里暂(zan)(zan)见，已复(fu)(fu)(fu)(fu)(fu)满(man)(man)(man)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)月(yue)(yue)(yue)(yue)(yue)(yue)三(san)(san)(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)丁丑，依历(li)(li)(li)太阳(yang)亏(kui)(kui)(kui)，日(ri)(ri)(ri)(ri)(ri)在(zai)(zai)(zai)斗(dou)九(jiu)(jiu)度(du)(du)(du)，时(shi)(shi)加(jia)(jia)在(zai)(zai)(zai)辰(chen)(chen)少弱(ruo)(ruo)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)九(jiu)(jiu)强(qiang)(qiang)(qiang)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)东(dong)北(bei)(bei)角。今(jin)(jin)候(hou)所见，日(ri)(ri)(ri)(ri)(ri)出山(shan)一(yi)(yi)丈，辰(chen)(chen)二(er)(er)(er)刻始食(shi)(shi)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)正西(xi)(xi)，食(shi)(shi)三(san)(san)(san)(san)(san)分(fen)(fen)之(zhi)二(er)(er)(er)，辰(chen)(chen)后(hou)(hou)二(er)(er)(er)刻始生(sheng)(sheng)，入(ru)巳(si)(si)(si)时(shi)(shi)三(san)(san)(san)(san)(san)刻上(shang)(shang)(shang)(shang)复(fu)(fu)(fu)(fu)(fu)满(man)(man)(man)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)年(nian)三(san)(san)(san)(san)(san)月(yue)(yue)(yue)(yue)(yue)(yue)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)癸卯(mao)，依历(li)(li)(li)月(yue)(yue)(yue)(yue)(yue)(yue)行在(zai)(zai)(zai)氐(di)七(qi)度(du)(du)(du)，时(shi)(shi)加(jia)(jia)戌，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)辰(chen)(chen)太半(ban)(ban)(ban)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)七(qi)半(ban)(ban)(ban)强(qiang)(qiang)(qiang)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)东(dong)北(bei)(bei)。今(jin)(jin)候(hou)，月(yue)(yue)(yue)(yue)(yue)(yue)初出卯(mao)南(nan)(nan)，带半(ban)(ban)(ban)食(shi)(shi)，出至(zhi)辰(chen)(chen)初三(san)(san)(san)(san)(san)分(fen)(fen)，可食(shi)(shi)二(er)(er)(er)分(fen)(fen)许，渐(jian)生(sheng)(sheng)，辰(chen)(chen)未(wei)已复(fu)(fu)(fu)(fu)(fu)满(man)(man)(man)。见行历(li)(li)(li)九(jiu)(jiu)月(yue)(yue)(yue)(yue)(yue)(yue)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)庚(geng)子，月(yue)(yue)(yue)(yue)(yue)(yue)行在(zai)(zai)(zai)胃四(si)度(du)(du)(du)，时(shi)(shi)加(jia)(jia)丑，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)未(wei)半(ban)(ban)(ban)强(qiang)(qiang)(qiang)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)分(fen)(fen)之(zhi)三(san)(san)(san)(san)(san)半(ban)(ban)(ban)强(qiang)(qiang)(qiang)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)正东(dong)。今(jin)(jin)伺(si)候(hou)，月(yue)(yue)(yue)(yue)(yue)(yue)以午(wu)(wu)后(hou)(hou)二(er)(er)(er)刻，食(shi)(shi)起(qi)(qi)(qi)(qi)(qi)(qi)正东(dong)，须臾(yu)如南(nan)(nan)，至(zhi)未(wei)正上(shang)(shang)(shang)(shang)，食(shi)(shi)南(nan)(nan)畔五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)四(si)，渐(jian)生(sheng)(sheng)，入(ru)申(shen)一(yi)(yi)刻半(ban)(ban)(ban)复(fu)(fu)(fu)(fu)(fu)满(man)(man)(man)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)年(nian)七(qi)月(yue)(yue)(yue)(yue)(yue)(yue)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)己未(wei)，依历(li)(li)(li)月(yue)(yue)(yue)(yue)(yue)(yue)行在(zai)(zai)(zai)室(shi)七(qi)度(du)(du)(du)，时(shi)(shi)加(jia)(jia)戌，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)辰(chen)(chen)太强(qiang)(qiang)(qiang)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)半(ban)(ban)(ban)弱(ruo)(ruo)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)西(xi)(xi)北(bei)(bei)。今(jin)(jin)伺(si)候(hou)，一(yi)(yi)更三(san)(san)(san)(san)(san)筹(chou)(chou)(chou)起(qi)(qi)(qi)(qi)(qi)(qi)西(xi)(xi)北(bei)(bei)上(shang)(shang)(shang)(shang)，食(shi)(shi)准三(san)(san)(san)(san)(san)分(fen)(fen)之(zhi)二(er)(er)(er)强(qiang)(qiang)(qiang)，与历(li)(li)(li)注(zhu)同。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)(san)(san)(san)(san)年(nian)七(qi)月(yue)(yue)(yue)(yue)(yue)(yue)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)，依历(li)(li)(li)月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)申(shen)半(ban)(ban)(ban)强(qiang)(qiang)(qiang)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)半(ban)(ban)(ban)弱(ruo)(ruo)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)西(xi)(xi)南(nan)(nan)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)夜，从四(si)更候(hou)月(yue)(yue)(yue)(yue)(yue)(yue)，五(wu)(wu)(wu)(wu)(wu)更一(yi)(yi)筹(chou)(chou)(chou)起(qi)(qi)(qi)(qi)(qi)(qi)东(dong)北(bei)(bei)上(shang)(shang)(shang)(shang)，食(shi)(shi)半(ban)(ban)(ban)强(qiang)(qiang)(qiang)，入(ru)云(yun)不(bu)见。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)年(nian)七(qi)月(yue)(yue)(yue)(yue)(yue)(yue)一(yi)(yi)日(ri)(ri)(ri)(ri)(ri)，依历(li)(li)(li)时(shi)(shi)加(jia)(jia)巳(si)(si)(si)弱(ruo)(ruo)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)半(ban)(ban)(ban)强(qiang)(qiang)(qiang)。至(zhi)未(wei)后(hou)(hou)三(san)(san)(san)(san)(san)刻，日(ri)(ri)(ri)(ri)(ri)乃(nai)食(shi)(shi)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)西(xi)(xi)北(bei)(bei)，食(shi)(shi)半(ban)(ban)(ban)许，入(ru)云(yun)不(bu)见，食(shi)(shi)顷暂(zan)(zan)见，犹未(wei)复(fu)(fu)(fu)(fu)(fu)生(sheng)(sheng)，因即云(yun)鄣。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)年(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)月(yue)(yue)(yue)(yue)(yue)(yue)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)庚(geng)午(wu)(wu)，依历(li)(li)(li)月(yue)(yue)(yue)(yue)(yue)(yue)行在(zai)(zai)(zai)井(jing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)度(du)(du)(du)，时(shi)(shi)加(jia)(jia)亥，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)巳(si)(si)(si)半(ban)(ban)(ban)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)九(jiu)(jiu)半(ban)(ban)(ban)强(qiang)(qiang)(qiang)，亏(kui)(kui)(kui)西(xi)(xi)北(bei)(bei)。其夜一(yi)(yi)更四(si)筹(chou)(chou)(chou)后(hou)(hou)，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)辰(chen)(chen)上(shang)(shang)(shang)(shang)起(qi)(qi)(qi)(qi)(qi)(qi)食(shi)(shi)，亏(kui)(kui)(kui)东(dong)南(nan)(nan)，至(zhi)二(er)(er)(er)更三(san)(san)(san)(san)(san)筹(chou)(chou)(chou)，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)巳(si)(si)(si)上(shang)(shang)(shang)(shang)，食(shi)(shi)三(san)(san)(san)(san)(san)分(fen)(fen)之(zhi)二(er)(er)(er)许，渐(jian)生(sheng)(sheng)，至(zhi)三(san)(san)(san)(san)(san)更一(yi)(yi)筹(chou)(chou)(chou)，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)丙上(shang)(shang)(shang)(shang)，复(fu)(fu)(fu)(fu)(fu)满(man)(man)(man)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)年(nian)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)月(yue)(yue)(yue)(yue)(yue)(yue)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)乙丑，依历(li)(li)(li)月(yue)(yue)(yue)(yue)(yue)(yue)行在(zai)(zai)(zai)井(jing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)度(du)(du)(du)，时(shi)(shi)加(jia)(jia)丑，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)未(wei)太弱(ruo)(ruo)上(shang)(shang)(shang)(shang)，食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)半(ban)(ban)(ban)弱(ruo)(ruo)，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)东(dong)南(nan)(nan)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)夜伺(si)候(hou)，至(zhi)三(san)(san)(san)(san)(san)更一(yi)(yi)筹(chou)(chou)(chou)，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)丙上(shang)(shang)(shang)(shang)，云(yun)里见，已食(shi)(shi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之(zhi)三(san)(san)(san)(san)(san)许，亏(kui)(kui)(kui)起(qi)(qi)(qi)(qi)(qi)(qi)正东(dong)，至(zhi)丁上(shang)(shang)(shang)(shang)，食(shi)(shi)既(ji)，后(hou)(hou)从东(dong)南(nan)(nan)生(sheng)(sheng)，至(zhi)四(si)更三(san)(san)(san)(san)(san)筹(chou)(chou)(chou)，月(yue)(yue)(yue)(yue)(yue)(yue)在(zai)(zai)(zai)未(wei)末(mo)，复(fu)(fu)(fu)(fu)(fu)满(man)(man)(man)。而胄玄不(bu)能(neng)尽中。

迭(die)相驳难，高祖惑(huo)焉，逾时(shi)不决。会通事舍人颜慜楚上书云：“汉落下闳改《颛顼历(li)(li)(li)(li)》作《太初历(li)(li)(li)(li)》，云后八百岁，此历(li)(li)(li)(li)差一日。”语(yu)在胄(zhou)(zhou)玄(xuan)(xuan)传。高祖欲神其(qi)事，遂下诏曰：“朕应运(yun)受图，君临万宇，思欲兴复圣(sheng)教(jiao)，恢弘令典，上顺天道，下授人时(shi)，搜扬海(hai)内，广延(yan)术士。旅骑(qi)尉张胄(zhou)(zhou)玄(xuan)(xuan)，理思沉敏(min)，术艺宏深，怀道白首，来上历(li)(li)(li)(li)法(fa)。令与太史旧历(li)(li)(li)(li)，并加勘审。仰观玄(xuan)(xuan)象，参(can)验(yan)璇玑，胄(zhou)(zhou)玄(xuan)(xuan)历(li)(li)(li)(li)数与七曜符合，太史所行，乃多疏(shu)舛(chuan)，群(qun)官博(bo)议，咸以胄(zhou)(zhou)玄(xuan)(xuan)为(wei)密。太史令刘(liu)晖，司历(li)(li)(li)(li)郭(guo)翟、刘(liu)宜，骁(xiao)骑(qi)尉任(ren)(ren)悦，往(wang)经(jing)修造，致此乖谬。通直(zhi)散骑(qi)常侍、领(ling)太史令庾季(ji)才，太史丞邢俊，司历(li)(li)(li)(li)郭(guo)远，历(li)(li)(li)(li)博(bo)士苏粲，历(li)(li)(li)(li)助教(jiao)傅(fu)俊、成珍等(deng)(deng)，既是(shi)职司，须审疏(shu)密。遂虚行此历(li)(li)(li)(li)，无所发明。论晖等(deng)(deng)情(qing)状，已合科罪，方共饰非(fei)护短，不从正法(fa)。季(ji)才等(deng)(deng)附下罔(wang)上，义(yi)实(shi)难容。”于是(shi)晖等(deng)(deng)四人，元造诈者，并除名；季(ji)才等(deng)(deng)六人，容隐奸慝，俱解见任(ren)(ren)。胄(zhou)(zhou)玄(xuan)(xuan)所造历(li)(li)(li)(li)法(fa)，付有司施行。擢拜胄(zhou)(zhou)玄(xuan)(xuan)为(wei)员外散骑(qi)侍郎，领(ling)太史令。胄(zhou)(zhou)玄(xuan)(xuan)进袁充(chong)，互相引重，各(ge)擅一能，更为(wei)延(yan)誉。胄(zhou)(zhou)玄(xuan)(xuan)言充(chong)历(li)(li)(li)(li)妙极(ji)前贤，充(chong)言胄(zhou)(zhou)玄(xuan)(xuan)历(li)(li)(li)(li)术冠于今古(gu)。胄(zhou)(zhou)玄(xuan)(xuan)学祖冲(chong)之，兼传其(qi)师法(fa)。自兹厥后，克食颇中。其(qi)开皇(huang)十七年所行历(li)(li)(li)(li)术，命(ming)冬至(zhi)起(qi)虚五度。后稍觉其(qi)疏(shu)，至(zhi)大业四年刘(liu)焯卒后，乃敢(gan)改法(fa)，命(ming)起(qi)虚七度，诸法(fa)率(lv)更有增损(sun)，朔终(zhong)义(yi)宁(ning)。今录(lu)戊辰年所定(ding)历(li)(li)(li)(li)术著之于此云。

自甲子元至大业四年戊辰，百四十二万七千六百四十四年，算外。

　　 章岁，四百一十。

　　 章闰，百五十一。

　　 章月，五千七十一。

　　 日法，千一百四十四。

　　 月法，三万三千七百八十三。

　　 辰法，二百八十六。

　　 岁分，一千五百五十七万二千九百六十三。

　　 度法，四万二千六百四十。

　　 没分，五百(bai)一(yi)十(shi)九万一(yi)千三百(bai)一(yi)十(shi)一(yi)

没法，七万四千五百二十一。

　　 周天分，一千五百五十七万四千四百六十六。

　　 斗分，一万八百六十六。

　　 气法，四十六万九千四十。

　　 气时法，一万六百六十。

　　 周日，二十七。

　　 日余，一千四百一十三。

　　 周通，七万二百九。

　　 周法，二千五百四十八。

　　 推积月术：

　　 置入元已来至所求年，以章月乘之，如章岁得一，为积月，余为闰余。闰余三百九十七巳上，若冬

　　 至不在其月，加积月一

　　 推月朔弦望术：

　　 以(yi)月(yue)法(fa)(fa)乘积月(yue)，如法(fa)(fa)得一(yi)，为(wei)积日(ri)，余(yu)为(wei)小余(yu)。以(yi)六(liu)十去积日(ri)，余(yu)为(wei)大余(yu)，命以(yi)甲子算外，为(wei)所求

年天正月朔日。天正月者，建子月也，今为去年十一月。凡朔小余五百四十七巳上，其月大。

　　 加大余七，小余四百三十七太；凡四分一为少，二为半，三为太。小余满日法去之，从大余；满六

　　 十去之，命如前，为上弦日。又加，得望、下弦、后月朔。朔余满五百三十七，其月大，减者小余。

　　 推二十四气术：

　　 以月法乘闰余，又以章岁乘朔小余，加之，如气法得一，为日，命朔算外，为冬至日。不尽者，以

　　 十一约之，为日分。

　　 求次气：加日十五，日分九千三百一十五，小分一；小分满八从日分一，日分满度法从日一；如月

　　  大(da)小去(qu)之，日(ri)不满月，算外，为次气日(ri)。其(qi)月无(wu)中气者，为闰。

求朔望入气盈缩术：

　　 以入气日算乘损益率，如十五得一，余八已上，从一；以损益盈缩数为定盈缩。其入气日十五算者，

　　 如十六得一，余半法已上亦从一，以下皆准此。

　　 推土王术：

　　 加分至日二十七，日分一万六千七百六十七，小分九；小分满四十从日分一，满去如前，即分至后土

　　 始王日。

　　 推没日术：

　　 其气有小分者，以八乘日分，内小分，又以十五乘之，以减没分；无小分者，以百二十乘日分，以减

　　 之；满没法为日，不尽为日分，以其气去朔日加之，去、命如前。

　　 求次没：加日六十九，日分四万九千三百七十二；日分满没法，从日，去、命如前。

　　 推入迟疾历术：

　　 以周通去朔积日，余以周法乘之，满周通又去之，余满周法得一日，余为日余，即所求年天正朔算外夜

　　 半入历日及余。

　　 求次月：大月加二日，小月加一日，日余皆千一百三十五，满周日及日余去之。

　　 求次日：加一，满、去如前。

　　 求朔望加时入历术：

　　 以四十九乘朔小余，满二十二得一为日余，不尽为小分，以加夜半入历日及余分。

　　 求次月：加日一，余二千四百八十六，小分二十一，满、去如前，即次月入历日及余。

　　 求望：加日十(shi)四日，余千九(jiu)百(bai)四十(shi)九(jiu)，小分二十(shi)一半，满、去如前，为(wei)望入历日及余。

推朔望加时定日及小余术：

　　 以入历日余乘所入历日损益率，以损益盈缩积分，如差法而一，为定积分。如差法乃与入气定盈缩，皆

　　 以盈减、缩加本朔望小余；不足减者，加日法乃减之，加时在往日；加之，满日法者去之，则在来日；余为

　　 定小余。无食者不须气盈缩。

　　 角十二度 亢九度 氐十五度 房五度 心五度 尾十八度 箕十一度

　　 东方七宿七十五度

　　 斗二十六度 牛八度 女十二度 虚十度 危十七度 室十六度 壁九度

　　 北方七宿九十八度

　　 奎十六度 娄十二度 胃十四度 昴十一度 毕十六度 觜二度 参九度

　　 西方七宿八十度

　　 井三十三度 鬼四度柳十五度 星七度 张十八度 翼十八度 轸十七度

　　 南方七宿百一十二度

　　 推日度术：

　　 置入元至所求年，以岁分乘之，为通实，满周天分去之，余如度法而一，为积度，不尽为度分。命度以

　　 虚七度宿次去之，经斗去其分，度不满宿，算外，即所求年天正冬至日所在度及分。以冬至去朔日以减分度

　　 数，分不足减者，减度一，加度法，乃减之，命如前，即天正朔前夜半日所在度及分。须求朔共度者，用去

　　 定用日数减之，俟后所须。

　　 求次月(yue)：大月(yue)加度(du)(du)三十，小月(yue)加度(du)(du)二十九，宿(su)次去(qu)之，经斗去(qu)其分(fen)。

求次日：加度一，去、命如前。

　　 求朔望加时日所在度术：

　　 各以定小余乘章岁，满十一为度分，以加其前夜半度分，满之去如前。凡朔加时日月同度

　　 求转分：以千四十约度分，不尽为小分。

　　 求望加时月所在度术：

　　 置望加时日所在度及分，加度一百八十二，转分二十五，小分七百五十三；小分满千四十从转分一，转

　　 分满四十一从度；去、命如前，经斗去转分十，小分四百六十六。

　　 求月行迟疾日转定分术：

　　  以夜半入历日(ri)(ri)余乘转差，满周法得一为变差，以进加、退(tui)减日(ri)(ri)转分(fen)为定分(fen)。

推朔望夜半月定度术：

　　 以定小余乘所入历日转定分，满日法得一为分，分满四十一为度，各以减加时月所在度，即各其前夜半

　　 定度。

　　 求次日：以日转定分加转分，满四十一从度，去、命如前；朔日不用前加。

　　 推五星术：

　　 木数，千七百万八千三百三十二四分

　　 火数，三千三百二十五万六千二十六。

　　 土数，千六百一十二万一千七百六十七。

　　 金数，二千四百八十九万八千四百一十七。

　　 水数，四百九十四万一千九十八。

　　 木终日，三百九十八，日分，三万七千六百一十二四分。

　　  火终(zhong)日，七百(bai)(bai)七十九，日分，三(san)万(wan)九千四百(bai)(bai)六(liu)十六(liu)。

土终日，三百七十八，日分，三千八百四十七。

　　 金终日，五百八十三，日分，三万九千二百九十七。晨见伏，三百二十七日，分同；夕见伏，二百五十

　　 六日。

　　 水终日，百一十五，日分，三万七千四百九十八。晨见伏，六十三日，分同；夕见伏，五十二日。

　　 求星见术：

　　 置通实，各以数去之，余以减数，其余如度法得一为日，不尽为日分，即所求年天正冬至后晨平见日及

　　 分。其金、水，以夕见伏日去之，得者余为夕平见日及分。

　　 求平见见月日(ri)：置冬至(zhi)去朔日(ri)数及(ji)分(fen)(fen)，各以冬至(zhi)后(hou)日(ri)数及(ji)分(fen)(fen)加之，分(fen)(fen)满度(du)法从日(ri)，起天正月，依(yi)大小去

之，不满月者为去朔日，命日算外，即星见所在月日及分。

　　 求后见：各以终日及分加之，满去如前。其金、水各以晨夕加之，满去如前，加晨得夕，加夕得晨。

　　 木：平(ping)(ping)见(jian)在(zai)春分前(qian)者(zhe)(zhe)，以(yi)三(san)千(qian)(qian)三(san)百(bai)(bai)四(si)十(shi)乘(cheng)去(qu)(qu)大寒(han)后(hou)十(shi)日(ri)数，以(yi)加平(ping)(ping)见(jian)分，满法去(qu)(qu)之(zhi)，以(yi)为(wei)定(ding)见(jian)日(ri)及(ji)分。立(li)秋后(hou)者(zhe)(zhe)，以(yi)四(si)千(qian)(qian)二百(bai)(bai)乘(cheng)去(qu)(qu)寒(han)露日(ri)，加之(zhi)，满同(tong)前(qian)。春分至(zhi)清明均加四(si)日(ri)，后(hou)至(zhi)立(li)夏(xia)五日(ri)，以(yi)后(hou)至(zhi)芒(mang)种加六(liu)日(ri)，均至(zhi)立(li)秋。小雪前(qian)者(zhe)(zhe)，以(yi)七千(qian)(qian)四(si)百(bai)(bai)乘(cheng)去(qu)(qu)寒(han)露日(ri)数，以(yi)减(jian)平(ping)(ping)见(jian)日(ri)分；冬至(zhi)后(hou)者(zhe)(zhe)，以(yi)八(ba)千(qian)(qian)三(san)百(bai)(bai)乘(cheng)去(qu)(qu)大寒(han)后(hou)十(shi)日(ri)数，以(yi)减(jian)之(zhi)；小雪至(zhi)冬至(zhi)均减(jian)八(ba)日(ri)，为(wei)定(ding)日(ri)数。初(chu)见(jian)伏去(qu)(qu)日(ri)各十(shi)四(si)度。

火(huo)：平(ping)见(jian)(jian)在(zai)雨水前，以二万六千(qian)八百(bai)八十(shi)乘(cheng)(cheng)(cheng)(cheng)去(qu)(qu)(qu)大寒日数(shu)(shu)；在(zai)立夏后，以万三千(qian)四百(bai)四十(shi)乘(cheng)(cheng)(cheng)(cheng)去(qu)(qu)(qu)立秋(qiu)日数(shu)(shu)，以加见(jian)(jian)日分，满去(qu)(qu)(qu)如(ru)前；雨水至立夏，均(jun)加二十(shi)九日。小(xiao)雪(xue)前，以万一千(qian)五(wu)(wu)百(bai)八十(shi)乘(cheng)(cheng)(cheng)(cheng)去(qu)(qu)(qu)处暑日数(shu)(shu)；冬至后，以三万四千(qian)三百(bai)八十(shi)乘(cheng)(cheng)(cheng)(cheng)去(qu)(qu)(qu)大寒日数(shu)(shu)，满去(qu)(qu)(qu)如(ru)前，以减之；小(xiao)雪(xue)至冬至，均(jun)减二十(shi)五(wu)(wu)日。初见(jian)(jian)伏去(qu)(qu)(qu)日各十(shi)七度。

土(tu)：平见(jian)(jian)在处(chu)暑前(qian)，以万二千(qian)三(san)百七(qi)十(shi)乘(cheng)去(qu)大(da)暑日数(shu)(shu)；白露后(hou)，以八(ba)千(qian)三(san)百四(si)十(shi)乘(cheng)去(qu)霜降日数(shu)(shu)，以加见(jian)(jian)日分，满去(qu)如前(qian)；处(chu)暑至(zhi)(zhi)白露均加九(jiu)日。小寒前(qian)，以四(si)千(qian)九(jiu)百八(ba)十(shi)乘(cheng)去(qu)霜降日数(shu)(shu)，小寒至(zhi)(zhi)立春均减九(jiu)日，立春后(hou)减八(ba)日，启蛰后(hou)去(qu)七(qi)，气(qi)别去(qu)一(yi)，至(zhi)(zhi)谷雨去(qu)三(san)，夏至(zhi)(zhi)后(hou)十(shi)日去(qu)一(yi)，至(zhi)(zhi)大(da)暑去(qu)尽。初见(jian)(jian)伏去(qu)日各十(shi)七(qi)度。

金：晨平见(jian)(jian)，在立(li)春(chun)前者，以(yi)(yi)四(si)(si)千(qian)(qian)一(yi)(yi)百(bai)(bai)(bai)二(er)十(shi)(shi)(shi)乘(cheng)(cheng)(cheng)去(qu)(qu)(qu)(qu)小(xiao)(xiao)寒(han)(han)日(ri)(ri)(ri)数(shu)小(xiao)(xiao)满(man)后，以(yi)(yi)四(si)(si)千(qian)(qian)一(yi)(yi)百(bai)(bai)(bai)二(er)十(shi)(shi)(shi)乘(cheng)(cheng)(cheng)去(qu)(qu)(qu)(qu)夏(xia)至(zhi)(zhi)日(ri)(ri)(ri)数(shu)，以(yi)(yi)加(jia)(jia)见(jian)(jian)日(ri)(ri)(ri)分(fen)，满(man)去(qu)(qu)(qu)(qu)如(ru)前立(li)春(chun)至(zhi)(zhi)小(xiao)(xiao)满(man)均加(jia)(jia)三(san)日(ri)(ri)(ri)。立(li)秋(qiu)前，以(yi)(yi)四(si)(si)千(qian)(qian)一(yi)(yi)百(bai)(bai)(bai)二(er)十(shi)(shi)(shi)乘(cheng)(cheng)(cheng)去(qu)(qu)(qu)(qu)小(xiao)(xiao)暑(shu)日(ri)(ri)(ri)数(shu)，小(xiao)(xiao)雪(xue)后以(yi)(yi)四(si)(si)千(qian)(qian)一(yi)(yi)百(bai)(bai)(bai)二(er)十(shi)(shi)(shi)乘(cheng)(cheng)(cheng)去(qu)(qu)(qu)(qu)冬至(zhi)(zhi)日(ri)(ri)(ri)数(shu)，满(man)去(qu)(qu)(qu)(qu)如(ru)前，以(yi)(yi)减之，立(li)秋(qiu)至(zhi)(zhi)小(xiao)(xiao)雪(xue)均减三(san)日(ri)(ri)(ri)。夕(xi)平见(jian)(jian)，在启(qi)蛰前，以(yi)(yi)六(liu)(liu)千(qian)(qian)三(san)百(bai)(bai)(bai)九(jiu)(jiu)十(shi)(shi)(shi)乘(cheng)(cheng)(cheng)去(qu)(qu)(qu)(qu)小(xiao)(xiao)雪(xue)日(ri)(ri)(ri)数(shu)。清(qing)明(ming)后，以(yi)(yi)六(liu)(liu)千(qian)(qian)二(er)百(bai)(bai)(bai)九(jiu)(jiu)十(shi)(shi)(shi)乘(cheng)(cheng)(cheng)去(qu)(qu)(qu)(qu)芒种日(ri)(ri)(ri)数(shu)，满(man)去(qu)(qu)(qu)(qu)如(ru)前，以(yi)(yi)减之，启(qi)蛰至(zhi)(zhi)清(qing)明(ming)均减九(jiu)(jiu)日(ri)(ri)(ri)。处暑(shu)前，以(yi)(yi)六(liu)(liu)千(qian)(qian)二(er)百(bai)(bai)(bai)九(jiu)(jiu)十(shi)(shi)(shi)乘(cheng)(cheng)(cheng)去(qu)(qu)(qu)(qu)夏(xia)至(zhi)(zhi)日(ri)(ri)(ri)数(shu)；寒(han)(han)露(lu)后，以(yi)(yi)六(liu)(liu)千(qian)(qian)二(er)百(bai)(bai)(bai)九(jiu)(jiu)十(shi)(shi)(shi)乘(cheng)(cheng)(cheng)去(qu)(qu)(qu)(qu)大(da)雪(xue)日(ri)(ri)(ri)数(shu)；以(yi)(yi)加(jia)(jia)之，处暑(shu)至(zhi)(zhi)寒(han)(han)露(lu)均加(jia)(jia)九(jiu)(jiu)日(ri)(ri)(ri)。初见(jian)(jian)伏去(qu)(qu)(qu)(qu)日(ri)(ri)(ri)各十(shi)(shi)(shi)一(yi)(yi)度。

水(shui)(shui)：晨平(ping)见(jian)(jian)(jian)，在雨(yu)水(shui)(shui)后(hou)、立(li)(li)夏(xia)(xia)前(qian)者(zhe)(zhe)，应见(jian)(jian)(jian)不见(jian)(jian)(jian)。启蛰至(zhi)(zhi)雨(yu)水(shui)(shui)，去日(ri)(ri)(ri)十(shi)八度外、四十(shi)六度内，晨有木(mu)、火、土、金一(yi)(yi)星已(yi)上者(zhe)(zhe)，见(jian)(jian)(jian)；无者(zhe)(zhe)不见(jian)(jian)(jian)。立(li)(li)夏(xia)(xia)至(zhi)(zhi)小(xiao)(xiao)满，去日(ri)(ri)(ri)度如(ru)前(qian)，晨有木(mu)、火、土、金一(yi)(yi)星已(yi)上者(zhe)(zhe)，见(jian)(jian)(jian)；无者(zhe)(zhe)亦(yi)(yi)不见(jian)(jian)(jian)。从霜(shuang)降(jiang)(jiang)至(zhi)(zhi)小(xiao)(xiao)雪加一(yi)(yi)日(ri)(ri)(ri)，冬(dong)至(zhi)(zhi)至(zhi)(zhi)小(xiao)(xiao)寒减四日(ri)(ri)(ri)，立(li)(li)春至(zhi)(zhi)雨(yu)水(shui)(shui)减三(san)日(ri)(ri)(ri)。冬(dong)至(zhi)(zhi)前(qian)，一(yi)(yi)去三(san)，二去二，三(san)去一(yi)(yi)。夕(xi)平(ping)见(jian)(jian)(jian)，在处暑后(hou)、霜(shuang)降(jiang)(jiang)前(qian)者(zhe)(zhe)，应见(jian)(jian)(jian)不见(jian)(jian)(jian)。立(li)(li)秋至(zhi)(zhi)处暑，夕(xi)有星，去日(ri)(ri)(ri)如(ru)前(qian)者(zhe)(zhe)，见(jian)(jian)(jian)；无者(zhe)(zhe)亦(yi)(yi)不见(jian)(jian)(jian)。霜(shuang)降(jiang)(jiang)至(zhi)(zhi)立(li)(li)冬(dong)，夕(xi)有星，去日(ri)(ri)(ri)如(ru)前(qian)者(zhe)(zhe)，见(jian)(jian)(jian)；无者(zhe)(zhe)亦(yi)(yi)不见(jian)(jian)(jian)。从谷雨(yu)至(zhi)(zhi)夏(xia)(xia)至(zhi)(zhi)，减二日(ri)(ri)(ri)。初见(jian)(jian)(jian)伏去日(ri)(ri)(ri)各十(shi)七度。

行五星法：

置星定见(jian)之前夜半日所在宿度(du)算及(ji)分(fen)(fen)，各以定见(jian)日分(fen)(fen)加(jia)其(qi)分(fen)(fen)，满(man)度(du)法从度(du)。又以星初见(jian)去日度(du)数，晨减、夕加(jia)之，满(man)去如前，即星初见(jian)所在度(du)及(ji)分(fen)(fen)。

求次日：各(ge)加一日所行(xing)度及分(fen)，有小(xiao)分(fen)者(zhe)，各(ge)日数(shu)为(wei)母，小(xiao)分(fen)满其(qi)母去从分(fen)，分(fen)满度法从度。其(qi)行(xing)有益(yi)疾(ji)迟者(zhe)，副置一日行(xing)分(fen)，各(ge)以(yi)其(qi)分(fen)疾(ji)益(yi)迟损之。留者(zhe)因(yin)前，退(tui)则(ze)减之，伏不注度，顺行(xing)出斗去其(qi)分(fen)，退(tui)行(xing)入斗先(xian)加分(fen)。讫，皆以(yi)千四十约分(fen)，为(wei)大分(fen)，以(yi)四十一为(wei)母。

木：初见，顺，日(ri)(ri)(ri)(ri)(ri)(ri)行万(wan)六(liu)百(bai)一(yi)(yi)十(shi)(shi)八分(fen)(fen)(fen)，日(ri)(ri)(ri)(ri)(ri)(ri)益迟六(liu)十(shi)(shi)分(fen)(fen)(fen)，一(yi)(yi)百(bai)一(yi)(yi)十(shi)(shi)四(si)(si)日(ri)(ri)(ri)(ri)(ri)(ri)行十(shi)(shi)九度、万(wan)三(san)千八百(bai)三(san)十(shi)(shi)二(er)分(fen)(fen)(fen)而(er)留(liu)。二(er)十(shi)(shi)六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)乃退(tui)，日(ri)(ri)(ri)(ri)(ri)(ri)六(liu)千一(yi)(yi)百(bai)一(yi)(yi)分(fen)(fen)(fen)，八十(shi)(shi)四(si)(si)日(ri)(ri)(ri)(ri)(ri)(ri)退(tui)十(shi)(shi)二(er)度、八百(bai)四(si)(si)分(fen)(fen)(fen)。又留(liu)二(er)十(shi)(shi)五日(ri)(ri)(ri)(ri)(ri)(ri)、三(san)万(wan)七(qi)(qi)千六(liu)百(bai)一(yi)(yi)十(shi)(shi)二(er)分(fen)(fen)(fen)、小分(fen)(fen)(fen)四(si)(si)，乃顺。初日(ri)(ri)(ri)(ri)(ri)(ri)行三(san)千八百(bai)三(san)十(shi)(shi)七(qi)(qi)分(fen)(fen)(fen)，日(ri)(ri)(ri)(ri)(ri)(ri)益疾(ji)六(liu)十(shi)(shi)分(fen)(fen)(fen)，百(bai)一(yi)(yi)十(shi)(shi)四(si)(si)日(ri)(ri)(ri)(ri)(ri)(ri)行十(shi)(shi)九度、万(wan)三(san)千七(qi)(qi)百(bai)一(yi)(yi)十(shi)(shi)八分(fen)(fen)(fen)而(er)伏(fu)。

土：初见，顺，日(ri)(ri)行三(san)千(qian)(qian)八(ba)(ba)百(bai)一十(shi)(shi)四(si)(si)分(fen)，八(ba)(ba)十(shi)(shi)三(san)日(ri)(ri)行七度(du)(du)(du)、万八(ba)(ba)千(qian)(qian)八(ba)(ba)十(shi)(shi)二分(fen)而(er)留。三(san)十(shi)(shi)八(ba)(ba)日(ri)(ri)乃(nai)退，日(ri)(ri)二千(qian)(qian)五(wu)百(bai)六(liu)十(shi)(shi)三(san)分(fen)，百(bai)日(ri)(ri)退六(liu)度(du)(du)(du)、四(si)(si)百(bai)六(liu)十(shi)(shi)分(fen)。又留三(san)十(shi)(shi)七日(ri)(ri)、三(san)千(qian)(qian)八(ba)(ba)百(bai)四(si)(si)十(shi)(shi)七分(fen)乃(nai)顺，日(ri)(ri)三(san)千(qian)(qian)八(ba)(ba)百(bai)一十(shi)(shi)三(san)分(fen)，八(ba)(ba)十(shi)(shi)三(san)日(ri)(ri)行七度(du)(du)(du)万七千(qian)(qian)九百(bai)九十(shi)(shi)九分(fen)，如初乃(nai)伏。

火：初(chu)见已后各如其法：

见在雨水前(qian)，以(yi)(yi)见去(qu)小寒日(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)，小满后，以(yi)(yi)去(qu)大暑(shu)日(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)；三(san)约之，所得(de)减日(ri)(ri)(ri)(ri)(ri)(ri)为定(ding)日(ri)(ri)(ri)(ri)(ri)(ri)；雨水至(zhi)小满，均(jun)去(qu)二(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)为定(ding)日(ri)(ri)(ri)(ri)(ri)(ri)。已前(qian)皆前(qian)疾(ji)(ji)日(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)及(ji)度(du)(du)(du)(du)(du)数(shu)(shu)。各(ge)计冬(dong)至(zhi)后日(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)，依(yi)损益(yi)之，为定(ding)日(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)及(ji)度(du)(du)(du)(du)(du)数(shu)(shu)。以(yi)(yi)度(du)(du)(du)(du)(du)法乘(cheng)定(ding)度(du)(du)(du)(du)(du)，如定(ding)日(ri)(ri)(ri)(ri)(ri)(ri)得(de)一(yi)，即(ji)平(ping)行(xing)(xing)一(yi)日(ri)(ri)(ri)(ri)(ri)(ri)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)，不尽(jin)为小分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)。大寒至(zhi)立秋(qiu)差(cha)行(xing)(xing)，余(yu)平(ping)行(xing)(xing)。处暑(shu)至(zhi)白露(lu)，皆去(qu)定(ding)日(ri)(ri)(ri)(ri)(ri)(ri)，定(ding)度(du)(du)(du)(du)(du)六(liu)(liu)(liu)。白露(lu)至(zhi)寒露(lu)，初日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)半度(du)(du)(du)(du)(du)，四(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)二(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)(du)，余(yu)日(ri)(ri)(ri)(ri)(ri)(ri)及(ji)余(yu)度(du)(du)(du)(du)(du)续(xu)同(tong)前(qian)。置日(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)减一(yi)，以(yi)(yi)三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)乘(cheng)之，加(jia)(jia)平(ping)行(xing)(xing)一(yi)日(ri)(ri)(ri)(ri)(ri)(ri)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)，为初日(ri)(ri)(ri)(ri)(ri)(ri)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)。差(cha)行(xing)(xing)者，日(ri)(ri)(ri)(ri)(ri)(ri)益(yi)迟(chi)(chi)(chi)(chi)(chi)六(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)，各(ge)尽(jin)其日(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)(du)(du)而迟(chi)(chi)(chi)(chi)(chi)。初日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)二(er)万六(liu)(liu)(liu)百(bai)(bai)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)，日(ri)(ri)(ri)(ri)(ri)(ri)益(yi)迟(chi)(chi)(chi)(chi)(chi)百(bai)(bai)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)，六(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)二(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)度(du)(du)(du)(du)(du)、三(san)万五千(qian)(qian)六(liu)(liu)(liu)百(bai)(bai)四(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)其前(qian)疾(ji)(ji)去(qu)度(du)(du)(du)(du)(du)六(liu)(liu)(liu)者，此迟(chi)(chi)(chi)(chi)(chi)初日(ri)(ri)(ri)(ri)(ri)(ri)加(jia)(jia)四(si)千(qian)(qian)二(er)百(bai)(bai)六(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)，六(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)(du)，分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)同(tong)。而留(liu)。十(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)日(ri)(ri)(ri)(ri)(ri)(ri)前(qian)去(qu)日(ri)(ri)(ri)(ri)(ri)(ri)者，分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)、日(ri)(ri)(ri)(ri)(ri)(ri)于二(er)留(liu)，奇纵后留(liu)。乃退(tui)，日(ri)(ri)(ri)(ri)(ri)(ri)万二(er)千(qian)(qian)八十(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)，六(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)退(tui)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)度(du)(du)(du)(du)(du)、四(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)。又(you)留(liu)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)日(ri)(ri)(ri)(ri)(ri)(ri)三(san)万九千(qian)(qian)四(si)百(bai)(bai)六(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)(liu)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)。又(you)顺，迟(chi)(chi)(chi)(chi)(chi)，初日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)万四(si)千(qian)(qian)七(qi)百(bai)(bai)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)，日(ri)(ri)(ri)(ri)(ri)(ri)益(yi)疾(ji)(ji)百(bai)(bai)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)，六(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)二(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)度(du)(du)(du)(du)(du)，分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)同(tong)前(qian)，此迟(chi)(chi)(chi)(chi)(chi)在立秋(qiu)至(zhi)秋(qiu)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)加(jia)(jia)一(yi)日(ri)(ri)(ri)(ri)(ri)(ri)，行(xing)(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)四(si)千(qian)(qian)二(er)百(bai)(bai)六(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)，六(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)四(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)(du)，分(fen)(fen)(fen)(fen)(fen)(fen)(fen)(fen)同(tong)前(qian)。而后疾(ji)(ji)。

后(hou)迟加六度(du)者，此后(hou)疾去度(du)为定度(du)，已前皆后(hou)疾日(ri)(ri)(ri)数及度(du)数。其在立夏至(zhi)(zhi)，小暑(shu)，日(ri)(ri)(ri)行(xing)(xing)半度(du)，尽六十日(ri)(ri)(ri)，行(xing)(xing)三(san)十度(du)。小暑(shu)至(zhi)(zhi)立秋，尽四十日(ri)(ri)(ri)，行(xing)(xing)二(er)十度(du)。计(ji)余日(ri)(ri)(ri)及度(du)，从前法。前法皆平行(xing)(xing)。求(qiu)行(xing)(xing)分亦如前。各尽其日(ri)(ri)(ri)度(du)而伏(fu)。

金：晨(chen)初(chu)(chu)(chu)见，乃退(tui)(tui)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)半(ban)度(du)(du)(du)(du)(du)(du)(du)(du)(du)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)退(tui)(tui)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)而留。九日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)乃顺，迟(chi)(chi)，差行(xing)(xing)(xing)(xing)(xing)，先(xian)迟(chi)(chi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)五(wu)(wu)(wu)(wu)百(bai)(bai)(bai)分(fen)(fen)，四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。小(xiao)(xiao)(xiao)暑(shu)前(qian)以(yi)(yi)去(qu)芒种日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)减(jian)一(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)；立(li)冬(dong)后(hou)(hou)以(yi)(yi)去(qu)大雪日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)减(jian)一(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)；小(xiao)(xiao)(xiao)暑(shu)至(zhi)(zhi)(zhi)立(li)冬(dong)，均减(jian)三(san)度(du)(du)(du)(du)(du)(du)(du)(du)(du)为(wei)(wei)(wei)定(ding)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。大雪至(zhi)(zhi)(zhi)芒种不加(jia)(jia)减(jian)。求(qiu)初(chu)(chu)(chu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，以(yi)(yi)三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)乘(cheng)度(du)(du)(du)(du)(du)(du)(du)(du)(du)法(fa)，四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)得(de)(de)一(yi)(yi)(yi)(yi)为(wei)(wei)(wei)平(ping)分(fen)(fen)。又以(yi)(yi)三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九乘(cheng)二(er)百(bai)(bai)(bai)五(wu)(wu)(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)，以(yi)(yi)减(jian)平(ping)分(fen)(fen)为(wei)(wei)(wei)初(chu)(chu)(chu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)分(fen)(fen)。平(ping)行(xing)(xing)(xing)(xing)(xing)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)一(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。小(xiao)(xiao)(xiao)寒后(hou)(hou)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，益(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)(du)(du)(du)(du)(du)(du)各一(yi)(yi)(yi)(yi)，至(zhi)(zhi)(zhi)雨水二(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，行(xing)(xing)(xing)(xing)(xing)二(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。均至(zhi)(zhi)(zhi)春分(fen)(fen)后(hou)(hou)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)减(jian)一(yi)(yi)(yi)(yi)，至(zhi)(zhi)(zhi)小(xiao)(xiao)(xiao)满，复十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。其后(hou)(hou)六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)减(jian)一(yi)(yi)(yi)(yi)，至(zhi)(zhi)(zhi)处暑(shu)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)及度(du)(du)(du)(du)(du)(du)(du)(du)(du)皆尽。至(zhi)(zhi)(zhi)霜降后(hou)(hou)，四(si)(si)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)一(yi)(yi)(yi)(yi)，至(zhi)(zhi)(zhi)冬(dong)至(zhi)(zhi)(zhi)复十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)疾(ji)(ji)，百(bai)(bai)(bai)七(qi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)二(er)百(bai)(bai)(bai)四(si)(si)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。前(qian)顺迟(chi)(chi)减(jian)度(du)(du)(du)(du)(du)(du)(du)(du)(du)者(zhe)，计(ji)减(jian)数(shu)(shu)益(yi)此度(du)(du)(du)(du)(du)(du)(du)(du)(du)为(wei)(wei)(wei)定(ding)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。求(qiu)一(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)度(du)(du)(du)(du)(du)(du)(du)(du)(du)分(fen)(fen)者(zhe)，以(yi)(yi)百(bai)(bai)(bai)七(qi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)一(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)以(yi)(yi)减(jian)定(ding)度(du)(du)(du)(du)(du)(du)(du)(du)(du)，余(yu)乘(cheng)度(du)(du)(du)(du)(du)(du)(du)(du)(du)法(fa)，如百(bai)(bai)(bai)七(qi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)得(de)(de)一(yi)(yi)(yi)(yi)，为(wei)(wei)(wei)一(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)平(ping)行(xing)(xing)(xing)(xing)(xing)度(du)(du)(du)(du)(du)(du)(du)(du)(du)分(fen)(fen)。晨(chen)伏东方。夕初(chu)(chu)(chu)见，顺，疾(ji)(ji)，百(bai)(bai)(bai)七(qi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)二(er)百(bai)(bai)(bai)四(si)(si)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。夏(xia)(xia)至(zhi)(zhi)(zhi)前(qian)，以(yi)(yi)见去(qu)小(xiao)(xiao)(xiao)满日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)，六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)加(jia)(jia)一(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)；小(xiao)(xiao)(xiao)暑(shu)后(hou)(hou)，以(yi)(yi)去(qu)立(li)秋日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)数(shu)(shu)，六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)加(jia)(jia)一(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)，夏(xia)(xia)至(zhi)(zhi)(zhi)至(zhi)(zhi)(zhi)小(xiao)(xiao)(xiao)暑(shu)均加(jia)(jia)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)，为(wei)(wei)(wei)定(ding)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。白(bai)露至(zhi)(zhi)(zhi)清明，差行(xing)(xing)(xing)(xing)(xing)，先(xian)疾(ji)(ji)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)迟(chi)(chi)百(bai)(bai)(bai)分(fen)(fen)。清明至(zhi)(zhi)(zhi)白(bai)露，平(ping)行(xing)(xing)(xing)(xing)(xing)，求(qiu)一(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)平(ping)行(xing)(xing)(xing)(xing)(xing)同，晨(chen)疾(ji)(ji)求(qiu)差行(xing)(xing)(xing)(xing)(xing)，以(yi)(yi)五(wu)(wu)(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)乘(cheng)百(bai)(bai)(bai)六(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九，加(jia)(jia)之(zhi)(zhi)，为(wei)(wei)(wei)初(chu)(chu)(chu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)度(du)(du)(du)(du)(du)(du)(du)(du)(du)分(fen)(fen)。平(ping)行(xing)(xing)(xing)(xing)(xing)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)一(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。冬(dong)至(zhi)(zhi)(zhi)后(hou)(hou)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)减(jian)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)(du)(du)(du)(du)(du)(du)各一(yi)(yi)(yi)(yi)，至(zhi)(zhi)(zhi)启蛰九日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)九度(du)(du)(du)(du)(du)(du)(du)(du)(du)。均至(zhi)(zhi)(zhi)夏(xia)(xia)至(zhi)(zhi)(zhi)后(hou)(hou)五(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)一(yi)(yi)(yi)(yi)，至(zhi)(zhi)(zhi)大暑(shu)复十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。均至(zhi)(zhi)(zhi)立(li)秋后(hou)(hou)六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)一(yi)(yi)(yi)(yi)，至(zhi)(zhi)(zhi)寒露二(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)二(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。后(hou)(hou)六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)减(jian)一(yi)(yi)(yi)(yi)，至(zhi)(zhi)(zhi)大雪复十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)，均至(zhi)(zhi)(zhi)冬(dong)至(zhi)(zhi)(zhi)。顺，迟(chi)(chi)，差行(xing)(xing)(xing)(xing)(xing)，先(xian)疾(ji)(ji)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)五(wu)(wu)(wu)(wu)百(bai)(bai)(bai)分(fen)(fen)，四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)(du)(du)(du)(du)(du)。前(qian)加(jia)(jia)度(du)(du)(du)(du)(du)(du)(du)(du)(du)者(zhe)，此依(yi)数(shu)(shu)减(jian)之(zhi)(zhi)，求(qiu)初(chu)(chu)(chu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)分(fen)(fen)。如晨(chen)迟(chi)(chi)，唯减(jian)者(zhe)为(wei)(wei)(wei)加(jia)(jia)之(zhi)(zhi)。又留，九日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)乃退(tui)(tui)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)半(ban)度(du)(du)(du)(du)(du)(du)(du)(du)(du)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)退(tui)(tui)五(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)(du)(du)，而夕伏西方。

水：晨初见，留六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)(ri)。顺，迟(chi)(chi)(chi)，日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)万六(liu)(liu)百(bai)(bai)(bai)六(liu)(liu)十(shi)(shi)(shi)分(fen)(fen)，四日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)一(yi)(yi)度(du)(du)(du)(du)。大(da)寒(han)至(zhi)雨水不须此(ci)迟(chi)(chi)(chi)行(xing)(xing)(xing)。平行(xing)(xing)(xing)，日(ri)(ri)(ri)(ri)(ri)(ri)一(yi)(yi)度(du)(du)(du)(du)，十(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)十(shi)(shi)(shi)度(du)(du)(du)(du)。大(da)寒(han)后二(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)，去日(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)(du)各(ge)(ge)一(yi)(yi)，尽(jin)(jin)二(er)(er)(er)十(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)，日(ri)(ri)(ri)(ri)(ri)(ri)及度(du)(du)(du)(du)俱(ju)尽(jin)(jin)。疾，日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)一(yi)(yi)度(du)(du)(du)(du)三万八(ba)千三百(bai)(bai)(bai)七(qi)(qi)十(shi)(shi)(shi)六(liu)(liu)分(fen)(fen)，十(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)十(shi)(shi)(shi)九度(du)(du)(du)(du)，前无迟(chi)(chi)(chi)行(xing)(xing)(xing)者，减(jian)此(ci)分(fen)(fen)万二(er)(er)(er)千七(qi)(qi)百(bai)(bai)(bai)九十(shi)(shi)(shi)二(er)(er)(er)分(fen)(fen)，十(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)十(shi)(shi)(shi)六(liu)(liu)度(du)(du)(du)(du)。晨伏东方。夕初见，顺，疾，日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)一(yi)(yi)度(du)(du)(du)(du)三万八(ba)千三百(bai)(bai)(bai)七(qi)(qi)十(shi)(shi)(shi)六(liu)(liu)分(fen)(fen)，十(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)十(shi)(shi)(shi)九度(du)(du)(du)(du)。小暑(shu)(shu)至(zhi)白露减(jian)万二(er)(er)(er)千七(qi)(qi)百(bai)(bai)(bai)九十(shi)(shi)(shi)二(er)(er)(er)分(fen)(fen)，十(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)十(shi)(shi)(shi)六(liu)(liu)度(du)(du)(du)(du)。平行(xing)(xing)(xing)，日(ri)(ri)(ri)(ri)(ri)(ri)一(yi)(yi)度(du)(du)(du)(du)，十(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)十(shi)(shi)(shi)度(du)(du)(du)(du)。大(da)暑(shu)(shu)后二(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)，去日(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)(du)各(ge)(ge)一(yi)(yi)，尽(jin)(jin)二(er)(er)(er)十(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)，日(ri)(ri)(ri)(ri)(ri)(ri)及度(du)(du)(du)(du)俱(ju)尽(jin)(jin)。迟(chi)(chi)(chi)，日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)万六(liu)(liu)百(bai)(bai)(bai)六(liu)(liu)十(shi)(shi)(shi)分(fen)(fen)，四日(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)一(yi)(yi)度(du)(du)(du)(du)。疾减(jian)万二(er)(er)(er)千七(qi)(qi)百(bai)(bai)(bai)九十(shi)(shi)(shi)二(er)(er)(er)分(fen)(fen)者，不须此(ci)迟(chi)(chi)(chi)。行(xing)(xing)(xing)又留六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)(ri)，夕伏西方。

推交会术：

会通(tong)，千六(liu)十(shi)四万六(liu)千七百二十(shi)九(jiu)。

朔差，九十(shi)万七千五(wu)十(shi)七。

望差，四十五万三千(qian)五百二十八半。

单数，五百三十二万三千三百六十四半。

时法，三万(wan)二(er)千六百四。

望数(shu)，五百(bai)七(qi)十七(qi)万六千八(ba)百(bai)九十三。

外(wai)限，四百(bai)八十(shi)(shi)六万(wan)九千八百(bai)三(san)十(shi)(shi)六。

内(nei)限，千一十九万三千二百半。

中限，五百六十(shi)四万九千四百四半。

次(ci)限，千三十(shi)二万六百八十(shi)九(jiu)。

推入交法：

以会(hui)通(tong)去积(ji)月(yue)，余(yu)以朔望差乘之，满会(hui)通(tong)又去之，余(yu)为所(suo)求年天正(zheng)朔入交余(yu)。

求望(wang)，望(wang)数加(jia)之，满、去如前。

求次月，以朔差(cha)加之，满、去如前。

推交道内外及(ji)先后去交术：

其(qi)朔(shuo)望(wang)在(zai)启(qi)蛰前(qian)，以(yi)一(yi)(yi)千(qian)三百八(ba)十乘(cheng)(cheng)去(qu)小寒日数；在(zai)谷(gu)雨(yu)后(hou)，以(yi)乘(cheng)(cheng)去(qu)芒种日数，为(wei)(wei)气(qi)差(cha)(cha)以(yi)加之，启(qi)蛰至谷(gu)雨(yu)均(jun)加六万(wan)三千(qian)六百；满会通去(qu)之，余(yu)为(wei)(wei)定余(yu)。其(qi)小寒至春(chun)分(fen)，立夏至芒种，朔(shuo)值盈(ying)二(er)时已(yi)(yi)(yi)下(xia)(xia)，皆半气(qi)差(cha)(cha)而加之；二(er)时已(yi)(yi)(yi)上(shang)(shang)，皆不(bu)(bu)(bu)加。朔(shuo)入交(jiao)余(yu)如(ru)望(wang)差(cha)(cha)、望(wang)数已(yi)(yi)(yi)下(xia)(xia)，中限(xian)(xian)已(yi)(yi)(yi)上(shang)(shang)，有星伏(fu)，木、土去(qu)见十日外(wai)(wai)，火去(qu)见四十日外(wai)(wai)，金、晨(chen)伏(fu)去(qu)见二(er)十二(er)日外(wai)(wai)。有一(yi)(yi)星者(zhe)(zhe)不(bu)(bu)(bu)加气(qi)差(cha)(cha)。朔(shuo)望(wang)在(zai)白(bai)露前(qian)者(zhe)(zhe)，以(yi)九百乘(cheng)(cheng)去(qu)小暑(shu)日数；在(zai)立冬后(hou)者(zhe)(zhe)，以(yi)千(qian)七百七十乘(cheng)(cheng)去(qu)大雪日数，以(yi)减(jian)之；白(bai)露至立冬均(jun)减(jian)五万(wan)五千(qian)，不(bu)(bu)(bu)足减(jian)者(zhe)(zhe)，加会通乃(nai)减(jian)之，余(yu)为(wei)(wei)定余(yu)。朔(shuo)入交(jiao)余(yu)如(ru)外(wai)(wai)限(xian)(xian)、内(nei)限(xian)(xian)已(yi)(yi)(yi)上(shang)(shang)，单(dan)(dan)(dan)数次限(xian)(xian)已(yi)(yi)(yi)下(xia)(xia)有星伏(fu)，如(ru)前(qian)者(zhe)(zhe)，不(bu)(bu)(bu)减(jian)气(qi)差(cha)(cha)。定余(yu)不(bu)(bu)(bu)满单(dan)(dan)(dan)数者(zhe)(zhe)，为(wei)(wei)在(zai)外(wai)(wai)；满去(qu)之，余(yu)在(zai)内(nei)。其(qi)余(yu)如(ru)望(wang)差(cha)(cha)已(yi)(yi)(yi)下(xia)(xia)、外(wai)(wai)限(xian)(xian)已(yi)(yi)(yi)上(shang)(shang)，望(wang)则月(yue)食；在(zai)内(nei)者(zhe)(zhe)，朔(shuo)则日食。其(qi)余(yu)如(ru)望(wang)差(cha)(cha)已(yi)(yi)(yi)下(xia)(xia)者(zhe)(zhe)，即(ji)为(wei)(wei)去(qu)先(xian)交(jiao)余(yu)；如(ru)外(wai)(wai)限(xian)(xian)已(yi)(yi)(yi)上(shang)(shang)者(zhe)(zhe)，以(yi)减(jian)单(dan)(dan)(dan)数，余(yu)为(wei)(wei)去(qu)后(hou)交(jiao)余(yu)。如(ru)时法得一(yi)(yi)，然为(wei)(wei)去(qu)交(jiao)时数。

推月食加时术：

置食定(ding)日小余，三(san)之，如(ru)辰法(fa)得(de)一辰，命(ming)以子算外(wai)，即所在(zai)辰。不(bu)尽为(wei)(wei)(wei)(wei)时(shi)(shi)余，四(si)之，如(ru)法(fa)，无所得(de)为(wei)(wei)(wei)(wei)辰初(chu)，一为(wei)(wei)(wei)(wei)少，二为(wei)(wei)(wei)(wei)半(ban)，三(san)为(wei)(wei)(wei)(wei)太。又不(bu)尽者(zhe)(zhe)，三(san)之，如(ru)法(fa)，得(de)一为(wei)(wei)(wei)(wei)强(qiang)(qiang)，以并(bing)少为(wei)(wei)(wei)(wei)少强(qiang)(qiang)，并(bing)半(ban)为(wei)(wei)(wei)(wei)半(ban)强(qiang)(qiang)，并(bing)太为(wei)(wei)(wei)(wei)太强(qiang)(qiang)；得(de)二强(qiang)(qiang)者(zhe)(zhe)为(wei)(wei)(wei)(wei)少弱，并(bing)少为(wei)(wei)(wei)(wei)半(ban)弱，并(bing)半(ban)为(wei)(wei)(wei)(wei)太弱，并(bing)太为(wei)(wei)(wei)(wei)辰末。此加(jia)时(shi)(shi)谓(wei)食时(shi)(shi)月在(zai)冲也。

推日食加时术：

置食(shi)定日小余(yu)(yu)，秋(qiu)三(san)月，内(nei)道(dao)(dao)，去(qu)(qu)交八时(shi)已上(shang)，加(jia)(jia)二十四，十二时(shi)以加(jia)(jia)四十八；春三(san)月，内(nei)道(dao)(dao)，去(qu)(qu)交七时(shi)已上(shang)，加(jia)(jia)二十四。乃以三(san)乘之，如辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)法得一辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)，以命(ming)子(zi)算外(wai)，即所在辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)。不尽为(wei)时(shi)余(yu)(yu)。副(fu)置时(shi)余(yu)(yu)，仲辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)不满半辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)，减半辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)，已上(shang)去(qu)(qu)半辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)；季辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)者(zhe)直加(jia)(jia)半辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)；孟辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)者(zhe)减辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)法，余(yu)(yu)加(jia)(jia)半辰(chen)(chen)(chen)(chen)(chen)(chen)(chen)为(wei)差率(lv)。

又，置去(qu)交时(shi)数，三已(yi)(yi)下(xia)加三，六(liu)已(yi)(yi)下(xia)加二(er)，九已(yi)(yi)下(xia)加一，九已(yi)(yi)上依数，十(shi)二(er)已(yi)(yi)上从十(shi)二(er)；以(yi)(yi)乘差(cha)率，如十(shi)四得(de)一为(wei)(wei)时(shi)差(cha)。子半(ban)至卯半(ban)、午半(ban)至酉(you)半(ban)，以(yi)(yi)加时(shi)余；卯半(ban)至午半(ban)、酉(you)半(ban)至子半(ban)，以(yi)(yi)减时(shi)余。加之(zhi)(zhi)，满辰法去(qu)之(zhi)(zhi)，进一辰，减之(zhi)(zhi)若不足，退(tui)一辰，余为(wei)(wei)定(ding)时(shi)余。乃(nai)如月食(shi)法，子午卯酉(you)为(wei)(wei)仲，辰戌丑未为(wei)(wei)季，寅申巳亥为(wei)(wei)孟。日出前入后各二(er)时(shi)外(wai)，不注日食(shi)。三乘气时(shi)法得(de)一，命子算(suan)外(wai)为(wei)(wei)时(shi)。

求外道日食法：

去交(jiao)一时(shi)内(nei)者，食。夏去交(jiao)二(er)(er)时(shi)内(nei)，加时(shi)在南(nan)方三辰者，食。若(ruo)去分(fen)至十二(er)(er)时(shi)内(nei)，去交(jiao)六时(shi)内(nei)者，亦食。若(ruo)去春分(fen)三日内(nei)，后交(jiao)二(er)(er)时(shi)内(nei)，秋(qiu)分(fen)三日内(nei)，先(xian)(xian)交(jiao)二(er)(er)时(shi)内(nei)者，亦食。先(xian)(xian)交(jiao)二(er)(er)时(shi)内(nei)，值盈(ying)二(er)(er)时(shi)外，及(ji)后交(jiao)二(er)(er)时(shi)内(nei)，值缩二(er)(er)时(shi)外，亦食。诸去交(jiao)三时(shi)内(nei)，星伏如前者，食。

求内道日不食法：

加时(shi)南方三(san)辰(chen)，五月朔先交(jiao)十(shi)三(san)时(shi)外，六月朔后交(jiao)十(shi)三(san)时(shi)外，不食。启蛰至(zhi)谷雨，先交(jiao)十(shi)三(san)时(shi)外，值缩加时(shi)在(zai)未(wei)以西者(zhe)(zhe)，不食。处(chu)暑至(zhi)霜降，后交(jiao)十(shi)三(san)时(shi)外，值盈加时(shi)在(zai)巳以东(dong)者(zhe)(zhe)，不食。

求月食分：

春(chun)后交(jiao)、秋先交(jiao)、冬后交(jiao)，皆(jie)去(qu)不(bu)食余(yu)一时，不(bu)足去(qu)者(zhe)，食既。余(yu)以三(san)万(wan)二百三(san)十(shi)五为(wei)法，得一为(wei)不(bu)食分。不(bu)尽者(zhe)，半法已上为(wei)半强，已下为(wei)半弱，以减十(shi)五，余(yu)为(wei)食分。

推日食分术：

在秋(qiu)分前者(zhe)，以去(qu)(qu)夏至(zhi)日数乘(cheng)二千，以减(jian)(jian)(jian)(jian)(jian)去(qu)(qu)交(jiao)(jiao)余(yu)(yu)，余(yu)(yu)为(wei)(wei)不(bu)(bu)(bu)食(shi)余(yu)(yu)；不(bu)(bu)(bu)足减(jian)(jian)(jian)(jian)(jian)者(zhe)，反(fan)减(jian)(jian)(jian)(jian)(jian)十八(ba)万四(si)千，余(yu)(yu)为(wei)(wei)不(bu)(bu)(bu)食(shi)余(yu)(yu)。亦(yi)减(jian)(jian)(jian)(jian)(jian)望差为(wei)(wei)定法。其后(hou)(hou)交(jiao)(jiao)值缩，并不(bu)(bu)(bu)减(jian)(jian)(jian)(jian)(jian)望差，直(zhi)以望差为(wei)(wei)定法。在启(qi)蛰后(hou)(hou)者(zhe)，以去(qu)(qu)夏至(zhi)日数乘(cheng)千五百以减(jian)(jian)(jian)(jian)(jian)之；秋(qiu)分至(zhi)启(qi)蛰，均减(jian)(jian)(jian)(jian)(jian)十八(ba)万四(si)千，不(bu)(bu)(bu)足减(jian)(jian)(jian)(jian)(jian)者(zhe)，如(ru)前；大(da)寒至(zhi)小满(man)，去(qu)(qu)后(hou)(hou)交(jiao)(jiao)五时外，皆去(qu)(qu)不(bu)(bu)(bu)食(shi)余(yu)(yu)一时。时差减(jian)(jian)(jian)(jian)(jian)者(zhe)，先(xian)交(jiao)(jiao)减(jian)(jian)(jian)(jian)(jian)之，后(hou)(hou)交(jiao)(jiao)加之，不(bu)(bu)(bu)足减(jian)(jian)(jian)(jian)(jian)者(zhe)食(shi)既；值加，先(xian)交(jiao)(jiao)加之，后(hou)(hou)交(jiao)(jiao)减(jian)(jian)(jian)(jian)(jian)之。不(bu)(bu)(bu)足减(jian)(jian)(jian)(jian)(jian)者(zhe)食(shi)。

求所起(qi)：内道西(xi)(xi)北(bei)，亏东(dong)北(bei)；外道西(xi)(xi)南，亏东(dong)南。十(shi)三分以(yi)上，正左起(qi)。亏皆据甚(shen)时(shi)，月(yue)则行上起(qi)。

求日出入所在术：

以所入气辰刻及分，与后气辰刻及分相减，余乘入气日算，如十五得一，以损益所入气，依刻及分为定刻。

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