志第八 律历三上
大(da)圣通(tong)天(tian)地之至(zhi)理,极生(sheng)民之能(neng)事,体妙系(xi)於(wu)神(shen)机(ji),作范(fan)留于(yu)(yu)器象(xiang)。然则制物(wu)成法,故冥赜可寻;推变有因,而(er)化生(sheng)以(yi)验。昔黄(huang)帝采竹(zhu)昆仑之阴,听(ting)凤岐阳之下,断(duan)自(zi)然之物(wu),写自(zi)然之音。昔既协(xie)矣,黄(huang)钟以(yi)立;数既生(sheng)矣,气亦征之。于(yu)(yu)是乎备(bei)数、和声(sheng)、审(shen)度、嘉量、权(quan)衡之用,皆出于(yu)(yu)兹矣。三古所共行,百王不(bu)能(neng)易。汉(han)孝武(wu)置协(xie)律(lv)之官,元帝时京(jing)房明六(liu)十(shi)律(lv),事为(wei)密矣。王莽(mang)世,征天(tian)下通(tong)钟律(lv)之士(shi),刘歆总而(er)条(tiao)奏之,最(zui)为(wei)该博,故班(ban)固取(qu)以(yi)为(wei)志。后(hou)汉(han)待(dai)诏严崇颇(po)为(wei)知律(lv),至(zhi)其子(zi)宣不(bu)传(chuan),遂罢。魏世杜夔亦以(yi)通(tong)乐制律(lv),晋中书(shu)监荀勖(xu)持夔律(lv)校练八音,以(yi)谓(wei)后(hou)汉(han)至(zhi)魏尺长古尺四分(fen)有余。又(you)得古玉律(lv),勖(xu)新律(lv)命之,谓(wei)其应合,遂改(gai)晋调,而(er)散骑(qi)侍(shi)郎阮(ruan)咸讥其声(sheng)高。永嘉以(yi)后(hou),中原丧乱,考正钟律(lv),所未闻焉。其存於(wu)夷裔,声(sheng)器而(er)已。
魏氏平诸(zhu)僭伪,颇(po)获古乐(le)(le)(le)。高(gao)祖虑其永爽(shuang),太和中诏(zhao)中书监高(gao)闾修(xiu)正音律(lv)(lv)(lv),久未(wei)能定(ding)。闾出为相州刺(ci)史,十(shi)八(ba)年,闾表(biao)曰:“《书》称(cheng)‘同律(lv)(lv)(lv)度量衡(heng)’,《论(lun)语》‘谨权量,审法(fa)(fa)度’。此(ci)四者(zhe)乃(nai)是王者(zhe)之(zhi)(zhi)要务(wu),生(sheng)民之(zhi)(zhi)所(suo)由。四者(zhe)何先?以(yi)律(lv)(lv)(lv)为首。岂不以(yi)取法(fa)(fa)之(zhi)(zhi)始,求天(tian)地之(zhi)(zhi)气故(gu)也。孔(kong)子曰‘移风易俗,莫尚于(yu)乐(le)(le)(le)。’然则(ze)乐(le)(le)(le)之(zhi)(zhi)所(suo)感,其致(zhi)远矣。今(jin)(jin)调音制乐(le)(le)(le),非律(lv)(lv)(lv)无(wu)以(yi)克(ke)和,然则(ze)律(lv)(lv)(lv)者(zhe)乐(le)(le)(le)之(zhi)(zhi)本也。臣(chen)(chen)前被敕理乐(le)(le)(le),与皇宗博士孙惠(hui)蔚、大乐(le)(le)(le)祭(ji)酒公孙崇(chong)(chong)(chong)(chong)等考(kao)《周官(guan)(guan)》、《国(guo)语》及《后汉律(lv)(lv)(lv)历(li)志(zhi)》,案京房法(fa)(fa)作准以(yi)定(ding)律(lv)(lv)(lv),吹律(lv)(lv)(lv)以(yi)调丝,案律(lv)(lv)(lv)寸以(yi)孔(kong)竹(zhu),八(ba)音之(zhi)(zhi)别,事(shi)(shi)以(yi)粗(cu)(cu)举。书既(ji)三奏,备在(zai)前文。臣(chen)(chen)年垂七十(shi),日就(jiu)衰颓,恐一朝先犬马(ma),竟(jing)无(wu)丝发之(zhi)(zhi)益(yi),使律(lv)(lv)(lv)法(fa)(fa)长绝,遗恨没世,是以(yi)慺(lv)慺(lv)惓(quan)惓(quan)不敢忘怠(dai)。近在(zai)鄴见崇(chong)(chong)(chong)(chong),臣(chen)(chen)先以(yi)其聪敏精勤,有(you)挈瓶之(zhi)(zhi)智,虽(sui)(sui)非经国(guo)之(zhi)(zhi)才(cai),颇(po)长推考(kao)之(zhi)(zhi)术(shu),故(gu)臣(chen)(chen)举以(yi)教乐(le)(le)(le),令依臣(chen)(chen)先共所(suo)论(lun)乐(le)(le)(le)事(shi)(shi),自(zi)作《钟(zhong)磬志(zhi)议》二(er)卷,器数为备,可(ke)谓(wei)世不乏贤。今(jin)(jin)崇(chong)(chong)(chong)(chong)徒教乐(le)(le)(le)童书学而(er)已(yi),不恭乐(le)(le)(le)事(shi)(shi),臣(chen)(chen)恐音律(lv)(lv)(lv)一旷,精赏实难,习(xi)业(ye)差怠(dai)。转(zhuan)乖本意(yi)。今(jin)(jin)请使崇(chong)(chong)(chong)(chong)参知(zhi)律(lv)(lv)(lv)吕钟(zhong)磬之(zhi)(zhi)事(shi)(shi),触类而(er)长之(zhi)(zhi),成益(yi)必深。求持臣(chen)(chen)先所(suo)奏三表(biao)勘(kan)《后汉律(lv)(lv)(lv)历(li)志(zhi)》,陛下亲览,以(yi)求厥(jue)衷(zhong),俱然易了。又著作郎韩显宗博闻(wen)强(qiang)识,颇(po)有(you)史才(cai),粗(cu)(cu)解(jie)音律(lv)(lv)(lv),亦求今(jin)(jin)时往参知(zhi)。臣(chen)(chen)虽(sui)(sui)在(zai)外(wai)官(guan)(guan),窃(qie)慕古人举善之(zhi)(zhi)义,愚意(yi)所(suo)及,不能自(zi)己,虽(sui)(sui)则(ze)越分,志(zhi)在(zai)补(bu)益(yi),愿不以(yi)言废人。”诏(zhao)许之(zhi)(zhi)。
景(jing)明四年,并州获古铜权(quan),诏(zhao)付(fu)崇以(yi)为钟律之(zhi)准(zhun),永平中,崇更造(zao)新尺,以(yi)一(yi)(yi)黍(shu)(shu)(shu)之(zhi)长,累为寸法。寻太(tai)常卿刘(liu)芳受诏(zhao)修乐(le),以(yi)秬黍(shu)(shu)(shu)中者一(yi)(yi)黍(shu)(shu)(shu)之(zhi)广(guang)即为一(yi)(yi)分(fen),而中尉元匡以(yi)一(yi)(yi)黍(shu)(shu)(shu)之(zhi)广(guang)度黍(shu)(shu)(shu)二缝,以(yi)取一(yi)(yi)分(fen)。三家纷(fen)竞,久不(bu)能决。太(tai)和十九年,高(gao)祖(zu)诏(zhao),以(yi)一(yi)(yi)黍(shu)(shu)(shu)之(zhi)广(guang),用成分(fen)体,九十黍(shu)(shu)(shu)之(zhi)长,以(yi)定(ding)铜尺。有(you)司奏(zou)从前诏(zhao),而芳尺同高(gao)祖(zu)所制,故(gu)遂典修金石。迄武定(ding)末,未有(you)谙律者。
历(li)者数之(zhi)用(yong),探灵测化,穷微极幽之(zhi)术也(ye)。所(suo)(suo)以上(shang)齐七政,下授万方。自轩辕以还(hai),迄(qi)于三代(dai),推元革统,厥(jue)事不(bu)一也(ye)。秦世(shi)汉(han)兴,历(li)同(tong)《颛顼》,百有(you)(you)余年(nian),始行(xing)《三统》。后汉(han)孝(xiao)章世(shi)改从《四分(fen)》,光(guang)和(he)中易以《乾象(xiang)》,魏文时用(yong)韩翊(yi)所(suo)(suo)定(ding),至明(ming)帝行(xing)杨伟《景(jing)初》,终晋朝,无(wu)所(suo)(suo)改作(zuo)。司天测象(xiang),今古(gu)共情,启端归余,为(wei)(wei)法不(bu)等,协日正时,俱有(you)(you)得失。太(tai)(tai)祖天兴初,命太(tai)(tai)史令晁崇(chong)修(xiu)浑仪以观(guan)星象(xiang),仍用(yong)《景(jing)初历(li)》。岁(sui)年(nian)积久,颇(po)以为(wei)(wei)疏。世(shi)祖平凉土,得赵匪(fei)所(suo)(suo)修(xiu)《玄始历(li)》,后谓为(wei)(wei)密,以代(dai)《景(jing)初》。真君中,司徒崔(cui)浩为(wei)(wei)《五寅元历(li)》,未及施行(xing),浩诛,遂寝。高祖太(tai)(tai)和(he)中,诏(zhao)秘书钟律郎上(shang)谷张明(ming)豫(yu)为(wei)(wei)太(tai)(tai)史令,修(xiu)综(zong)历(li)事,未成,明(ming)豫(yu)物故(gu)。迁洛,仍岁(sui)南讨,而宫车晏驾。
世(shi)宗(zong)景(jing)(jing)明(ming)(ming)中(zhong)(zhong),诏(zhao)太(tai)乐令公(gong)孙(sun)崇、太(tai)乐令赵(zhao)樊生等(deng)同共考(kao)验(yan)。正始四年(nian)冬,崇表曰(yue)(yue):“臣顷自太(tai)乐,详理金石,及(ji)(ji)在秘(mi)省(sheng),考(kao)步(bu)三光,稽(ji)览古今(jin),祥其得失。然(ran)(ran)(ran)四序(xu)迁(qian)流,五(wu)行变易,帝王相(xiang)踵,必奉初(chu)元(yuan)(yuan),改正朔,殊徽号、服色,观(guan)于时变,以(yi)应(ying)天道(dao)。故(gu)《易》,汤(tang)武革(ge)命,治历(li)(li)明(ming)(ming)时。是以(yi)三五(wu)迭(die)隆(long),历(li)(li)数(shu)各异(yi)。伏惟皇(huang)魏绍天明(ming)(ming)命,家有率土,戎(rong)轩仍(reng)动,未(wei)遑历(li)(li)事(shi),因前(qian)魏《景(jing)(jing)初(chu)历(li)(li)》,术(shu)数(shu)差违(wei),不协(xie)晷度。世(shi)祖应(ying)期,辑宁(ning)诸(zhu)夏,乃命故(gu)司(si)徒、东(dong)郡公(gong)崔(cui)浩(hao)错综(zong)其数(shu)。浩(hao)博(bo)涉(she)渊(yuan)通,更修(xiu)历(li)(li)术(shu),兼著(zhu)《五(wu)行论》。是时故(gu)司(si)空、咸阳公(gong)高允该览群籍,赞明(ming)(ming)五(wu)《纬》,并述洪范(fan)。然(ran)(ran)(ran)浩(hao)等(deng)考(kao)察未(wei)及(ji)(ji)周密(mi),高宗(zong)践祚,乃用(yong)敦(dun)煌赵(zhao)匪《甲寅(yin)》之(zhi)(zhi)历(li)(li),然(ran)(ran)(ran)其星度,稍为差远(yuan)。臣辄(zhe)鸠集异(yi)同,研(yan)其损益,更造新历(li)(li)。以(yi)甲寅(yin)为元(yuan)(yuan),考(kao)其盈(ying)缩,晷象(xiang)周密(mi),又从约省(sheng)。起自景(jing)(jing)明(ming)(ming),因名《景(jing)(jing)明(ming)(ming)历(li)(li)》。然(ran)(ran)(ran)天道(dao)盈(ying)虚,岂(qi)曰(yue)(yue)必协(xie),要须参(can)候是非(fei),乃可(ke)施用(yong)。太(tai)史令辛(xin)宝(bao)贵职(zhi)司(si)玄(xuan)象(xiang),颇(po)闲秘(mi)数(shu);秘(mi)书(shu)监郑道(dao)昭才学优赡,识览该密(mi);长兼国子博(bo)士高僧裕(yu)乃故(gu)司(si)空允之(zhi)(zhi)孙(sun),世(shi)综(zong)文业(ye);尚书(shu)祠部郎(lang)中(zhong)(zhong)宗(zong)景(jing)(jing)博(bo)涉(she)经史;前(qian)兼尚书(shu)郎(lang)中(zhong)(zhong)崔(cui)彬(bin)微晓(xiao)法术(shu):请(qing)此数(shu)人(ren)在秘(mi)省(sheng)参(can)候。而伺察晷度,要在冬夏二至前(qian)后各五(wu)日,然(ran)(ran)(ran)后乃可(ke)取验(yan)。臣区区之(zhi)(zhi)诚,冀效(xiao)万分之(zhi)(zhi)一。”诏(zhao)曰(yue)(yue):“测度晷象(xiang),考(kao)步(bu)宜审,可(ke)令太(tai)常卿芳(fang)率太(tai)学、四门博(bo)士等(deng)依所启者,悉集详察。”
延昌四年冬,侍中、国(guo)子(zi)(zi)祭酒(jiu)领著作(zuo)(zuo)郎(lang)(lang)崔光表(biao)曰(yue):“《易》称‘君子(zi)(zi)以治历(li)(li)明(ming)(ming)时(shi)(shi)’;书云(yun)(yun)‘历(li)(li)象日(ri)月星(xing)辰’,‘乃同律(lv)度量衡’;孔子(zi)(zi)陈后王之(zhi)(zhi)法,曰(yue)‘谨(jin)权量,审法度’;《春秋》举(ju)‘先王之(zhi)(zhi)正(zheng)时(shi)(shi)也,履端于始’,又言‘天(tian)子(zi)(zi)有日(ri)官(guan)’。是以昔在轩(xuan)辕,容成(cheng)作(zuo)(zuo)历(li)(li);逮乎帝唐,羲(xi)和察影,皆所(suo)以审农(nong)时(shi)(shi)而(er)重民事(shi)也。太(tai)和十一年,臣自博(bo)士迁著作(zuo)(zuo),忝司载述,时(shi)(shi)旧钟(zhong)律(lv)郎(lang)(lang)张明(ming)(ming)豫(yu)推步(bu)历(li)(li)法,治己(ji)丑(chou)元,草创未(wei)(wei)备。及(ji)迁中京(jing)(jing),转为太(tai)史(shi)令,未(wei)(wei)几丧亡,所(suo)造(zao)(zao)致(zhi)废。臣中修史(shi),景(jing)明(ming)(ming)初奏(zou)(zou)求(qiu)奉车都尉(wei)、领太(tai)史(shi)令赵樊生(sheng),著作(zuo)(zuo)佐(zuo)郎(lang)(lang)张洪(hong),给事(shi)中、领太(tai)乐令公孙崇等造(zao)(zao)历(li)(li),功(gong)未(wei)(wei)及(ji)讫,而(er)樊生(sheng)又丧,洪(hong)出除泾州(zhou)长史(shi),唯崇独专其(qi)(qi)任(ren)。暨永平初,云(yun)(yun)已(yi)(yi)略举(ju)。时(shi)(shi)洪(hong)府(fu)解停京(jing)(jing),又奏(zou)(zou)令重修前事(shi),更(geng)(geng)取(qu)太(tai)史(shi)令赵胜、太(tai)庙令庞(pang)灵扶(fu)、明(ming)(ming)豫(yu)子(zi)(zi)龙(long)祥共集秘书,与崇等详验,推建密(mi)历(li)(li),然(ran)天(tian)道幽远,测步(bu)理深(shen),候观迁延,岁月滋久,而(er)崇及(ji)胜前后并(bing)(bing)丧。洪(hong)所(suo)造(zao)(zao)历(li)(li)为甲午、甲戌二元,又除豫(yu)州(zhou)司马。灵扶(fu)亦除蒲阴令。洪(hong)至(zhi)豫(yu)州(zhou),续造(zao)(zao)甲子(zi)(zi)、己(ji)亥(hai)二元。唯龙(long)祥在京(jing)(jing)。独修前事(shi),以皇魏(wei)运(yun)(yun)水德(de),为甲子(zi)(zi)元,兼校书郎(lang)(lang)李(li)业兴本虽(sui)不预,亦和造(zao)(zao)历(li)(li),为戊子(zi)(zi)元。三家(jia)之(zhi)(zhi)术(shu)并(bing)(bing)未(wei)(wei)申用。故贞静(jing)处士李(li)谥私立历(li)(li)法,言合(he)纪次,求(qiu)就其(qi)(qi)兄瑒追取(qu),与洪(hong)等所(suo)造(zao)(zao),递(di)相参(can)考(kao),以知精粗。臣以仰(yang)(yang)测晷度,实难审正(zheng),又求(qiu)更(geng)(geng)取(qu)诸能算术(shu)兼解经义者前司徒(tu)司马高绰、驸马都尉(wei)卢道虔、前冀州(zhou)镇东长史(shi)祖莹、前并(bing)(bing)州(zhou)秀(xiu)才王延业、谒者仆射常景(jing)等日(ri)集秘书,与史(shi)官(guan)同检疏密(mi);并(bing)(bing)朝贵十五日(ri)一临,推验得失,择其(qi)(qi)善者奏(zou)(zou)闻施用。限至(zhi)岁终。但世代(dai)推移,轨宪(xian)时(shi)(shi)改,上(shang)元今古,考(kao)准或异(yi),故三代(dai)课(ke)步(bu),始卒各(ge)别。臣职预其(qi)(qi)事(shi),而(er)朽惰已(yi)(yi)甚(shen),既(ji)谢运(yun)(yun)筹之(zhi)(zhi)能,弥愧意算之(zhi)(zhi)艺,由(you)是多历(li)(li)年世,兹(zi)业弗成(cheng),公私负责,俯仰(yang)(yang)惭面。”灵太(tai)后令曰(yue):“可如所(suo)请(qing)。”
延昌四年冬,太傅、清河(he)王怿,司空(kong)、尚书令(ling)、任城(cheng)王澄(cheng),散骑(qi)常侍、尚书仆射元晖,侍中、领军、江阳王继奏:“天(tian)道(dao)至远(yuan)(yuan),非人情(qing)可量;历(li)数幽微,岂以意辄度。而(er)议者纷纭,竞起端(duan)绪(xu),争指虚远(yuan)(yuan),难可求(qiu)衷(zhong),自非建(jian)标准(zhun)影,无以验其真伪。顷永平中虽有考(kao)察之利,而(er)不累岁(sui)穷究,遂不知影之至否(fou),差失(shi)少(shao)多。臣(chen)等(deng)参详,谓宜今(jin)年至日,更立(li)表木,明伺(si)晷度,三(san)载之中,足知当否(fou)。令(ling)是非有归,争者息竞,然后采其长者,更议所(suo)从(cong)。”
神龟初,光复表(biao)曰:“《春秋》载‘天(tian)(tian)子(zi)(zi)有(you)日官(guan),诸(zhu)侯(hou)有(you)日御(yu)’,又曰‘履端于(yu)(yu)始(shi)’,‘归余(yu)(yu)于(yu)(yu)终(zhong)’,皆所以(yi)推二气,考五运(yun),成六位(wei),定(ding)七(qi)曜,审八卦,立(li)三(san)(san)(san)才,正(zheng)四(si)序,以(yi)授百官(guan)于(yu)(yu)朝,万民(min)于(yu)(yu)野。阴(yin)阳刚柔(rou),仁义(yi)之道(dao)(dao)(dao),冈不(bu)毕备。由是先代重之,垂于(yu)(yu)典籍。及史迁、班固(gu)、司马彪著立(li)《书(shu)志》,所论备矣。谨(jin)案历(li)(li)(li)之作也,始(shi)自(zi)黄帝,辛卯为元(yuan)(yuan),迄于(yu)(yu)大(da)(da)魏,甲寅纪首,十有(you)余(yu)(yu)代,历(li)(li)(li)祀(si)数千,轨宪(xian)不(bu)等,远近殊术(shu)。其(qi)消(xiao)息(xi)盈(ying)虚,觇步(bu)疏(shu)密(mi)(mi),莫(mo)得而(er)识焉。延昌四(si)年冬,中(zhong)坚将(jiang)(jiang)军、屯(tun)骑校(xiao)尉张(zhang)洪,故太(tai)史令(ling)(ling)张(zhang)明(ming)豫(yu)息(xi)荡寇将(jiang)(jiang)军龙(long)祥,校(xiao)书(shu)郎李(li)业兴等三(san)(san)(san)家(jia)并(bing)上(shang)新历(li)(li)(li),各求申用(yong)(yong)。臣(chen)学缺章程,艺谢筹运(yun),而(er)窃职观阁,谬(miu)忝厥司,奏请(qing)广访(fang)诸(zhu)儒,更(geng)取(qu)通(tong)数兼(jian)通(tong)经(jing)义(yi)者及太(tai)史,并(bing)集(ji)秘书(shu),与史官(guan)同(tong)验疏(shu)密(mi)(mi),并(bing)请(qing)宰(zai)辅群官(guan)临(lin)检得失(shi),至于(yu)(yu)岁(sui)终(zhong),密(mi)(mi)者施用(yong)(yong)。奉(feng)诏听可(ke)。时太(tai)傅、太(tai)尉公(gong)、清河王臣(chen)怿等以(yi)天(tian)(tian)道(dao)(dao)(dao)至远,非(fei)卒可(ke)量,请(qing)立(li)表(biao)候影,期之三(san)(san)(san)载,乃(nai)采其(qi)长者,更(geng)议(yi)所从。又蒙敕许。于(yu)(yu)是洪等与前(qian)镇东府长史祖(zu)莹等研穷其(qi)事,尔来三(san)(san)(san)年,再历(li)(li)(li)寒暑,积勤构思(si),大(da)(da)功获(huo)成。谨(jin)案洪等三(san)(san)(san)人前(qian)上(shang)之历(li)(li)(li),并(bing)驸(fu)马都(dou)尉卢道(dao)(dao)(dao)虔、前(qian)太(tai)极采材军主卫洪显、殄寇将(jiang)(jiang)军太(tai)史令(ling)(ling)胡荣(rong)及雍州沙(sha)门统道(dao)(dao)(dao)融、司州河南(nan)人樊仲遵、定(ding)州钜(ju)鹿人张(zhang)僧豫(yu)所上(shang),总合九家(jia),共(gong)成一历(li)(li)(li),元(yuan)(yuan)起壬子(zi)(zi),律始(shi)黄钟(zhong),考古(gu)合今,谓(wei)为最密(mi)(mi)。昔(xi)汉武帝元(yuan)(yuan)封中(zhong)治历(li)(li)(li),改年为太(tai)初,即名《太(tai)初历(li)(li)(li)》;魏文帝景初中(zhong)治历(li)(li)(li),即名《景初历(li)(li)(li)》。伏惟陛下道(dao)(dao)(dao)唯(wei)先天(tian)(tian),功邈(miao)稽古(gu),休符告征,灵(ling)蔡炳瑞。壬子(zi)(zi)北方,水之正(zheng)位(wei);龟为水畜,实符魏德;修(xiu)母子(zi)(zi)应(ying),义(yi)当《麟趾》。请(qing)定(ding)名为《神龟历(li)(li)(li)》。今封以(yi)上(shang)呈,乞付有(you)司重加考议(yi)。事可(ke)施用(yong)(yong),并(bing)藏秘府,附于(yu)(yu)典志。”肃宗以(yi)历(li)(li)(li)就,大(da)(da)赦改元(yuan)(yuan),因名《正(zheng)光历(li)(li)(li)》,班于(yu)(yu)天(tian)(tian)下。其(qi)九家(jia)共(gong)修(xiu),以(yi)龙(long)祥、业兴为主。
壬子元以来,至鲁隐(yin)公元年岁在己未(wei),积十六万(wan)(wan)六千五百(bai)(bai)七(qi),算外(wai);入甲寅纪(ji)来,至隐(yin)公元年己未(wei),积四万(wan)(wan)五千三百(bai)(bai)七(qi),算外(wai)。
壬(ren)(ren)子元(yuan)以来,至(zhi)今大(da)魏正光三(san)年(nian)岁(sui)在(zai)壬(ren)(ren)寅,积(ji)十六(liu)(liu)万(wan)七(qi)(qi)(qi)千(qian)七(qi)(qi)(qi)百五(wu)十,算(suan)(suan)外;壬(ren)(ren)子岁(sui)入(ru)(ru)甲(jia)申纪(ji)寅以来,至(zhi)今孝昌二年(nian)岁(sui)在(zai)丙午,积(ji)四万(wan)六(liu)(liu)千(qian)五(wu)百五(wu)十四,算(suan)(suan)外。从壬(ren)(ren)子元(yuan)以来,至(zhi)今大(da)魏孝昌三(san)年(nian)岁(sui)次丁未(wei)(wei),积(ji)十六(liu)(liu)万(wan)七(qi)(qi)(qi)千(qian)七(qi)(qi)(qi)百五(wu)十六(liu)(liu),算(suan)(suan)上;壬(ren)(ren)子岁(sui)入(ru)(ru)甲(jia)申纪(ji)以来,至(zhi)今大(da)魏孝昌三(san)年(nian)岁(sui)次丁未(wei)(wei),积(ji)四万(wan)六(liu)(liu)千(qian)五(wu)百五(wu)十六(liu)(liu),算(suan)(suan)上。
章(zhang)岁,五(wu)百(bai)(bai)五(wu)。古十九(jiu)年(nian)七(qi)闰,闰余尽(jin)为章(zhang)。积至多年(nian),月(yue)(yue)尽(jin)之日,月(yue)(yue)见东方(fang),日蚀(shi)先(xian)晦(hui),辄复(fu)变历(li),以(yi)同天象。二百(bai)(bai)年(nian)多一日,三百(bai)(bai)年(nian)多一日半,晦(hui)朔失(shi)。故先(xian)儒及纬文皆言“三百(bai)(bai)年(nian)斗历(li)改(gai)宪”。候天减(jian)闰,五(wu)百(bai)(bai)五(wu)年(nian)减(jian)闰余一,九(jiu)千五(wu)百(bai)(bai)九(jiu)十五(wu)年(nian)减(jian)一闰月(yue)(yue),则从(cong)僖(xi)公五(wu)年(nian)至今,日蚀(shi)不失(shi)晦(hui)与二日,合朔者多。闰余成月(yue)(yue),余尽(jin)为章(zhang)。
章闰(run),一百八十六。五百五年闰(run)月(yue)之数,其中减旧十九分(fen)之一。
章月,六(liu)(liu)千(qian)二百(bai)四(si)十六(liu)(liu)。五百(bai)五年所有月之数并(bing)闰月。
部法(fa),六(liu)千六(liu)十。十二(er)章为(wei)一部,至此年小(xiao)余成日,为(wei)度法(fa)。
斗分,一(yi)千四(si)百七十(shi)(shi)七。四(si)分度法(fa)得一(yi)千五百一(yi)十(shi)(shi)五,为(wei)古(gu)法(fa)。今减(jian)(jian)三十(shi)(shi)八(ba)者,从僖公(gong)五年以(yi)来减(jian)(jian)七日有奇,谓(wei)为(wei)最近。一(yi)百一(yi)十(shi)(shi)三岁减(jian)(jian)阙 日,减(jian)(jian)之(zhi)太深(shen),是以(yi)三十(shi)(shi)余年改徙四(si)子也。
纪法,六万六百。十部成(cheng)纪,大余(yu)十也(ye)。
统法(fa),十(shi)(shi)二(er)万一千二(er)百(bai)。二(er)纪成统,大余二(er)十(shi)(shi)。
元法,三十六(liu)万三千六(liu)百。三统成元,大余尽。
日法(fa)(fa),七万(wan)四千九百五十二。十二乘章(zhang)月(yue)为(wei)日法(fa)(fa)。章(zhang)月(yue),一年之闰分(fen)。
周天分,二百二十(shi)(shi)一万三千三百七(qi)十(shi)(shi)七(qi)。以度法(fa)通三百六十(shi)(shi)五度,内斗(dou)分。
气法,二(er)十(shi)四。岁中十(shi)三(san),一(yi)年一(yi)十(shi)二(er)次。次有初中,分为(wei)二(er)十(shi)四。
经月(yue)(yue),大余(yu)二十九,小余(yu)三万九千七百六十九。日法(fa)除周(zhou)天(tian)分(fen)得之(zhi)。日法(fa)者(zhe)一(yi)部(bu)(bu)之(zhi)月(yue)(yue)数,周(zhou)天(tian)分(fen)者(zhe)部(bu)(bu)之(zhi)日数。以部(bu)(bu)月(yue)(yue)除蔀日,得一(yi)月(yue)(yue)二十九及余(yu),日周(zhou)天(tian)分(fen)即(ji)为月(yue)(yue)通(tong)。
会(hui)数,百七十三(san)(san)(san)(san),余二万三(san)(san)(san)(san)千二百八(ba)。五月二十三(san)(san)(san)(san)分月之二十为一会(hui)。以(yi)二十三(san)(san)(san)(san)乘(cheng)五月,内二十,得(de)(de)一百三(san)(san)(san)(san)十五,以(yi)乘(cheng)周天(tian)分。以(yi)二十三(san)(san)(san)(san)乘(cheng)日法除之,得(de)(de)一百七十三(san)(san)(san)(san)及余。
会(hui)通,一千(qian)二百九十八万(wan)九千(qian)九百四。以日法乘(cheng)会(hui)数,内(nei)会(hui)余。
周(zhou)日(ri),二十七,余(yu)四万(wan)一千(qian)五百六十二。以月一日(ri)行除周(zhou)天,得二十七日(ri)及余(yu)。
通(tong)周,二百六万五千二百六十六。日法乘周日二十七(qi),内周余。
小周(zhou),六千七(qi)百五十一。月一日行十三度,乘(cheng)章岁,内章闰也。
月周,八万一千一十(shi)(shi)二(er)。以十(shi)(shi)二(er)乘小周即得(de),与度(du)同。
推月朔术第一
推积月术(shu)曰:置入纪年,算外(wai),以章月乘之,如章岁(sui)为积月,不(bu)尽(jin)为闰余。闰余满三百一十九以上,其(qi)岁(sui)有闰。
推(tui)朔积(ji)日术曰:以通数(shu)乘积(ji)月,为(wei)朔积(ji)分(fen),分(fen)满日法(fa)为(wei)积(ji)日,不(bu)尽为(wei)小余。六(liu)旬去积(ji)日,不(bu)尽为(wei)大(da)余。命以纪,算外(wai),则(ze)所求年(nian)天(tian)正(zheng)十(shi)一月朔日。
推上(shang)下弦(xian)望术曰:加(jia)(jia)朔大(da)余(yu)(yu)七、小(xiao)余(yu)(yu)二万八(ba)千六百八(ba)十、小(xiao)分(fen)一,小(xiao)分(fen)满四,从(cong)(cong)小(xiao)余(yu)(yu);小(xiao)余(yu)(yu)满日(ri)(ri)法,从(cong)(cong)大(da)余(yu)(yu)一;大(da)余(yu)(yu)满六十,去之(zhi),即上(shang)弦(xian)日(ri)(ri)。又加(jia)(jia),得(de)(de)(de)望;又加(jia)(jia),得(de)(de)(de)下弘(hong);又加(jia)(jia),得(de)(de)(de)后月朔。
推二十四气术第二
推(tui)二(er)十(shi)(shi)四气(qi)术曰:置入纪年以(yi)来,算(suan)外,以(yi)余(yu)数乘之为实。以(yi)部(bu)法(fa)(fa)除之,所得(de)为积没,不尽(jin)为小余(yu)。以(yi)六(liu)旬去积没,不尽(jin)为大(da)(da)余(yu)。命(ming)(ming)以(yi)纪,算(suan)外,所求年天正十(shi)(shi)一(yi)(yi)(yi)月冬至日。求次气(qi),加大(da)(da)余(yu)十(shi)(shi)五、小余(yu)一(yi)(yi)(yi)千三百二(er)十(shi)(shi)四、小分一(yi)(yi)(yi),小分满(man)(man)气(qi)法(fa)(fa)二(er)十(shi)(shi)四,从小余(yu)一(yi)(yi)(yi);小余(yu)满(man)(man)部(bu)法(fa)(fa),从大(da)(da)余(yu)一(yi)(yi)(yi);大(da)(da)余(yu)满(man)(man)六(liu)十(shi)(shi),去之,命(ming)(ming)如上,即次气(qi)日。
推闰(run)术曰(yue):以闰(run)余(yu)(yu)减章岁(sui)五(wu)百(bai)(bai)五(wu),余(yu)(yu)以岁(sui)中(zhong)十(shi)(shi)二乘(cheng)之(zhi)。满章闰(run)一百(bai)(bai)八十(shi)(shi)六(liu),得一月(yue)(yue);余(yu)(yu)半法已上,亦得一月(yue)(yue)。数从天正十(shi)(shi)一月(yue)(yue)起,算外,闰(run)月(yue)(yue)月(yue)(yue)也(ye)。闰(run)有进退,以无(wu)中(zhong)气为正。
冬至十一月中 小寒十二月节(jie)(jie) 大寒十二月中立(li)春正月节(jie)(jie)
雨水正(zheng)月中 惊蛰二月节 春(chun)分二月中 清明三月节
谷雨(yu)三月(yue)(yue)(yue)中(zhong)(zhong) 立夏四(si)月(yue)(yue)(yue)节(jie) 小满四(si)月(yue)(yue)(yue)中(zhong)(zhong) 芒种五月(yue)(yue)(yue)节(jie)
夏(xia)至五月中 小暑(shu)六月节 大暑(shu)六月中 立秋七(qi)月节
处暑七月(yue)中(zhong) 白(bai)露(lu)八(ba)月(yue)节(jie) 秋分八(ba)月(yue)中(zhong) 寒(han)露(lu)九月(yue)节(jie)
霜降九月中 立冬十月节 小(xiao)雪(xue)十月中 大雪(xue)十一月节
推合又交会月蚀去(qu)交度术曰(yue):“置入纪朔积分(fen),朔以(yi)交会差(cha)分(fen)并之(zhi),今用甲申纪,差(cha)分(fen)七百四十(shi)一(yi)(yi)万八千七百八十(shi)四也(ye)。 以(yi)会通去(qu)之(zhi),所得为积交,余(yu)不尽(jin)者,以(yi)日法(fa)除之(zhi),所得为度余(yu),即所求年天(tian)正十(shi)一(yi)(yi)月朔却(que)去(qu)交度及余(yu)。
求次(ci)月去(qu)交度术(shu)曰:加度二十(shi)九(jiu)(jiu)日、度余三万(wan)九(jiu)(jiu)千七百六(liu)十(shi)九(jiu)(jiu),除如上(shang),则次(ci)月去(qu)交度及(ji)分。
求(qiu)望去(qu)(qu)交(jiao)(jiao)度(du)(du)术曰:加度(du)(du)十四(si)日、度(du)(du)余(yu)(yu)五万七千三百(bai)六十半(ban)(ban),度(du)(du)余(yu)(yu)满(man)日法从度(du)(du),满(man)会数去(qu)(qu)之,亦除(chu)其余(yu)(yu);余(yu)(yu)若不足减者,减度(du)(du)一(yi),加会虚,则望去(qu)(qu)交(jiao)(jiao)度(du)(du)及分。朔望去(qu)(qu)交(jiao)(jiao)度(du)(du)分如朔望合数十四(si)度(du)(du)、度(du)(du)余(yu)(yu)五万七千三百(bai)六十半(ban)(ban)已(yi)下(xia),入(ru)交(jiao)(jiao)限数一(yi)百(bai)五十八度(du)(du)、度(du)(du)余(yu)(yu)四(si)万七百(bai)九十九半(ban)(ban)以上者,朔则交(jiao)(jiao)会,望则月蚀。
甲子(zi)纪合(he)朔月在日(ri)月如(ru)合(he)璧,交中。
甲戌纪合朔月在日道里。 交(jiao)会(hui)差四(si)十九度 度余三万六千七(qi)百四(si)十四(si)
甲申纪合朔月在日道里。 交会差(cha)九十八(ba)度 度余七万三(san)千四百八(ba)十八(ba)
甲午(wu)纪合朔(shuo)月在日道里。 交会差一百四十(shi)八度(du) 度(du)余三(san)万五千二(er)百二(er)十(shi)八
甲(jia)辰(chen)纪合朔月在日道(dao)里。 交会差二十四度(du) 度(du)余四万八千八百一十六
甲寅(yin)纪合朔月在日(ri)道里。 交(jiao)会差七十四度 度余一万六(liu)百八
求(qiu)交(jiao)(jiao)(jiao)道(dao)(dao)所(suo)在月(yue)(yue)(yue)(yue):以(yi)十一月(yue)(yue)(yue)(yue)朔(shuo)(shuo)却去(qu)交(jiao)(jiao)(jiao)度及余(yu),减会(hui)数及余(yu),余(yu)若不足减者,减一度,加入法,乃(nai)减之。乃(nai)以(yi)十一月(yue)(yue)(yue)(yue)朔(shuo)(shuo)小余(yu)加之,满(man)(man)日法,除(chu)去(qu)之,从日一,余(yu)为日余(yu)。命起往年十一月(yue)(yue)(yue)(yue),如历月(yue)(yue)(yue)(yue)大小除(chu)之,不满(man)(man)月(yue)(yue)(yue)(yue)者为入月(yue)(yue)(yue)(yue),算外,交(jiao)(jiao)(jiao)道(dao)(dao)日。交(jiao)(jiao)(jiao)在望(wang)(wang)(wang)前(qian)(qian)者,其(qi)月(yue)(yue)(yue)(yue)朔(shuo)(shuo)则(ze)交(jiao)(jiao)(jiao)会(hui),望(wang)(wang)(wang)则(ze)月(yue)(yue)(yue)(yue)蚀;交(jiao)(jiao)(jiao)在望(wang)(wang)(wang)后(hou)(hou)者亦(yi)其(qi)月(yue)(yue)(yue)(yue)月(yue)(yue)(yue)(yue)蚀,后(hou)(hou)月(yue)(yue)(yue)(yue)朔(shuo)(shuo)则(ze)交(jiao)(jiao)(jiao)会(hui)。交(jiao)(jiao)(jiao)正(zheng)在望(wang)(wang)(wang)者,其(qi)月(yue)(yue)(yue)(yue)月(yue)(yue)(yue)(yue)蚀既(ji)(ji),前(qian)(qian)后(hou)(hou)朔(shuo)(shuo)皆交(jiao)(jiao)(jiao)会(hui);交(jiao)(jiao)(jiao)正(zheng)在朔(shuo)(shuo)者,日蚀既(ji)(ji),前(qian)(qian)后(hou)(hou)望(wang)(wang)(wang)皆月(yue)(yue)(yue)(yue)蚀。
求后交(jiao)月及日:以会(hui)数及余(yu)加(jia)前(qian)入月日及余(yu),余(yu)满日法(fa),从日一,如历月大小(xiao)除(chu)之,命起前(qian)蚀月,得后交(jiao)月及余(yu)。
推月(yue)在(zai)(zai)(zai)(zai)日(ri)(ri)(ri)道(dao)表(biao)(biao)(biao)(biao)(biao)(biao)里(li)(li)(li)术曰:置入(ru)纪(ji)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)积分,又(you)以纪(ji)交(jiao)(jiao)(jiao)(jiao)(jiao)会(hui)(hui)差分加之(zhi),今用(yong)甲申纪(ji)交(jiao)(jiao)(jiao)(jiao)(jiao)会(hui)(hui)差分七(qi)百(bai)四(si)十一(yi)(yi)(yi)(yi)万八千(qian)七(qi)百(bai)八十四(si)。 倍会(hui)(hui)通,去之(zhi)。余(yu)(yu)(yu)不满(man)(man)(man)会(hui)(hui)通者(zhe)(zhe):纪(ji)首(shou)里(li)(li)(li)者(zhe)(zhe),则(ze)(ze)天正十一(yi)(yi)(yi)(yi)月(yue)合(he)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo),月(yue)在(zai)(zai)(zai)(zai)日(ri)(ri)(ri)道(dao)里(li)(li)(li);纪(ji)首(shou)表(biao)(biao)(biao)(biao)(biao)(biao)者(zhe)(zhe),则(ze)(ze)月(yue)在(zai)(zai)(zai)(zai)表(biao)(biao)(biao)(biao)(biao)(biao)。若满(man)(man)(man)会(hui)(hui)通者(zhe)(zhe):纪(ji)首(shou)表(biao)(biao)(biao)(biao)(biao)(biao)者(zhe)(zhe),则(ze)(ze)月(yue)在(zai)(zai)(zai)(zai)里(li)(li)(li);纪(ji)首(shou)里(li)(li)(li)者(zhe)(zhe),则(ze)(ze)月(yue)在(zai)(zai)(zai)(zai)表(biao)(biao)(biao)(biao)(biao)(biao)。黄道(dao)南为(wei)表(biao)(biao)(biao)(biao)(biao)(biao),北为(wei)里(li)(li)(li)。其(qi)满(man)(man)(man)会(hui)(hui)通者(zhe)(zhe)去之(zhi),余(yu)(yu)(yu)如日(ri)(ri)(ri)法而一(yi)(yi)(yi)(yi),即(ji)往年天正十一(yi)(yi)(yi)(yi)月(yue)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)却(que)交(jiao)(jiao)(jiao)(jiao)(jiao)度及(ji)(ji)(ji)余(yu)(yu)(yu)。以却(que)去交(jiao)(jiao)(jiao)(jiao)(jiao)度及(ji)(ji)(ji)余(yu)(yu)(yu)减(jian)会(hui)(hui)数(shu)及(ji)(ji)(ji)会(hui)(hui)余(yu)(yu)(yu),会(hui)(hui)余(yu)(yu)(yu)若不足减(jian)者(zhe)(zhe),减(jian)一(yi)(yi)(yi)(yi)度,加日(ri)(ri)(ri)法乃减(jian)。余(yu)(yu)(yu)为(wei)前去度及(ji)(ji)(ji)余(yu)(yu)(yu)。又(you)以十一(yi)(yi)(yi)(yi)月(yue)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)小余(yu)(yu)(yu)加之(zhi),满(man)(man)(man)日(ri)(ri)(ri)法从度一(yi)(yi)(yi)(yi)。命起十一(yi)(yi)(yi)(yi)月(yue),如历月(yue)大(da)小除之(zhi),不满(man)(man)(man)月(yue)者(zhe)(zhe)为(wei)入(ru)月(yue)日(ri)(ri)(ri)及(ji)(ji)(ji)余(yu)(yu)(yu),算外(wai),交(jiao)(jiao)(jiao)(jiao)(jiao)道(dao)日(ri)(ri)(ri)。若十一(yi)(yi)(yi)(yi)月(yue)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)月(yue)在(zai)(zai)(zai)(zai)日(ri)(ri)(ri)道(dao)里(li)(li)(li)者(zhe)(zhe),此交(jiao)(jiao)(jiao)(jiao)(jiao)为(wei)出(chu)外(wai),后(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)为(wei)入(ru)内;十一(yi)(yi)(yi)(yi)月(yue)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)在(zai)(zai)(zai)(zai)表(biao)(biao)(biao)(biao)(biao)(biao)者(zhe)(zhe),此交(jiao)(jiao)(jiao)(jiao)(jiao)为(wei)入(ru)内,后(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)为(wei)出(chu)外(wai)。一(yi)(yi)(yi)(yi)出(chu)一(yi)(yi)(yi)(yi)入(ru),常法也。 其(qi)交(jiao)(jiao)(jiao)(jiao)(jiao)在(zai)(zai)(zai)(zai)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)后(hou)望前者(zhe)(zhe),朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo),月(yue)在(zai)(zai)(zai)(zai)日(ri)(ri)(ri)道(dao)表(biao)(biao)(biao)(biao)(biao)(biao)里(li)(li)(li)与十一(yi)(yi)(yi)(yi)月(yue)同,望则(ze)(ze)反矣。若交(jiao)(jiao)(jiao)(jiao)(jiao)在(zai)(zai)(zai)(zai)望后(hou)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)前者(zhe)(zhe),望与十一(yi)(yi)(yi)(yi)月(yue)同,后(hou)月(yue)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)则(ze)(ze)异矣。若先交(jiao)(jiao)(jiao)(jiao)(jiao)会(hui)(hui)后(hou)月(yue)蚀(shi)者(zhe)(zhe),朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo),月(yue)在(zai)(zai)(zai)(zai)日(ri)(ri)(ri)道(dao)里(li)(li)(li);望,在(zai)(zai)(zai)(zai)表(biao)(biao)(biao)(biao)(biao)(biao)。朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)在(zai)(zai)(zai)(zai)表(biao)(biao)(biao)(biao)(biao)(biao),则(ze)(ze)望在(zai)(zai)(zai)(zai)里(li)(li)(li)。其(qi)先月(yue)蚀(shi)后(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)会(hui)(hui)者(zhe)(zhe),望在(zai)(zai)(zai)(zai)表(biao)(biao)(biao)(biao)(biao)(biao)则(ze)(ze)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)在(zai)(zai)(zai)(zai)里(li)(li)(li)也。 望在(zai)(zai)(zai)(zai)里(li)(li)(li)则(ze)(ze)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)在(zai)(zai)(zai)(zai)表(biao)(biao)(biao)(biao)(biao)(biao)矣。
推交(jiao)(jiao)(jiao)会(hui)起(qi)(qi)角(jiao)术(shu)曰:其月在外道,先(xian)会(hui)后(hou)交(jiao)(jiao)(jiao)者(zhe),亏(kui)(kui)从东南(nan)角(jiao)起(qi)(qi);先(xian)交(jiao)(jiao)(jiao)后(hou)会(hui)者(zhe),亏(kui)(kui)从西(xi)南(nan)角(jiao)起(qi)(qi)。其月在内道,先(xian)会(hui)后(hou)交(jiao)(jiao)(jiao)者(zhe),亏(kui)(kui)从西(xi)北(bei)角(jiao)起(qi)(qi);先(xian)交(jiao)(jiao)(jiao)后(hou)会(hui)者(zhe),亏(kui)(kui)从西(xi)北(bei)角(jiao)起(qi)(qi)。合交(jiao)(jiao)(jiao)中者(zhe),蚀(shi)(shi)之既(ji)。其月蚀(shi)(shi)在日之冲,起(qi)(qi)角(jiao)亦如之。凡日月蚀(shi)(shi),去交(jiao)(jiao)(jiao)十五为限,十以下是蚀(shi)(shi)也,十以上,亏(kui)(kui)蚀(shi)(shi)微(wei)少,光影相(xiang)接而已。
推蚀分多少术曰:置入交限十五度,以朔望去(qu)交日数减之,余则蚀分。
推(tui)合朔入历迟(chi)疾盈缩第四(si)
推合朔入(ru)历(li)迟疾术曰:置入(ru)纪(ji)以(yi)来朔日(ri)(ri)积(ji)分(fen),又以(yi)纪(ji)迟疾差分(fen)并之(zhi)。今用甲(jia)申纪(ji),迟疾差分(fen)一百八(ba)十二(er)万九(jiu)千(qian)七百九(jiu)十二(er)。 以(yi)通周如一为(wei)积(ji)周,不尽者以(yi)日(ri)(ri)法(fa)约之(zhi),为(wei)日(ri)(ri),不尽为(wei)日(ri)(ri)余。命日(ri)(ri)算外,即所求年天正十一月合朔入(ru)历(li)日(ri)(ri)。
甲(jia)子纪 迟疾(ji)差二十四(si)日 日余六(liu)万三(san)千五百六(liu)十八
甲戌纪 迟疾差(cha)二十(shi)四日(ri) 日(ri)余四万(wan)二千二百五十(shi)六
甲(jia)申纪 迟疾(ji)差二十四日(ri) 日(ri)余二万九(jiu)百四十四
甲午纪 迟疾差二十三日 日余十万四千五百八十四
甲辰纪 迟疾差二(er)十三(san)日 日余(yu)五万三(san)千二(er)百七(qi)十二(er)
甲寅(yin)纪 迟疾(ji)差二十三日(ri) 日(ri)余三万一(yi)千九百六十
求次月(yue)入(ru)(ru)历(li)日(ri)(ri)(ri)(ri)术曰(yue):加(jia)一日(ri)(ri)(ri)(ri)、日(ri)(ri)(ri)(ri)余(yu)(yu)七万(wan)三千一百(bai)五十九,日(ri)(ri)(ri)(ri)余(yu)(yu)满(man)日(ri)(ri)(ri)(ri)法(fa)从日(ri)(ri)(ri)(ri),日(ri)(ri)(ri)(ri)满(man)二十七去之,亦(yi)除余(yu)(yu)如周(zhou)日(ri)(ri)(ri)(ri)余(yu)(yu);日(ri)(ri)(ri)(ri)余(yu)(yu)若不(bu)足,减一日(ri)(ri)(ri)(ri),加(jia)周(zhou)虚(xu)。日(ri)(ri)(ri)(ri)满(man)二十七而余(yu)(yu)不(bu)满(man)周(zhou)日(ri)(ri)(ri)(ri)日(ri)(ri)(ri)(ri)余(yu)(yu)者,为入(ru)(ru)历(li)值(zhi),周(zhou)日(ri)(ri)(ri)(ri)法(fa)满(man)去之,为入(ru)(ru)历(li)一日(ri)(ri)(ri)(ri)。
求(qiu)望入历(li)术曰:加(jia)十四日、日余五(wu)万七(qi)千(qian)三(san)百六十半(ban)。又加(jia),得后月历(li)日。
月行迟疾度及(ji)分 损(sun)益率 盈缩并(bing) 盈缩积分
一日(ri)十(shi)四度二百(bai)六十(shi)一 益六百(bai)八(ba)十(shi) 盈初分
二日十四度(du)三百(bai)分 益六(liu)百(bai)一十九 盈六(liu)百(bai)八十 盈积分七千五百(bai)五十
三日十(shi)四度(du)二百四十(shi)六(liu)分 益(yi)五(wu)(wu)百五(wu)(wu)十(shi)五(wu)(wu) 盈(ying)一(yi)千二百九十(shi)九 盈(ying)积分一(yi)万(wan)四千四百二十(shi)二分
四日十四度一(yi)百(bai)七十一(yi)分 益四百(bai)九十 盈一(yi)千八百(bai)五(wu)十四 盈积分二万五(wu)百(bai)八十四
五(wu)日十(shi)四度九十(shi)九分 益四百一十(shi)八 盈二千(qian)三百四十(shi)四 盈积分二万(wan)六千(qian)二十(shi)四
六(liu)日十(shi)(shi)三度四(si)百七十(shi)(shi)一分(fen) 益二(er)百八十(shi)(shi)五 盈二(er)千七百六(liu)十(shi)(shi)二(er) 盈积分(fen)三万六(liu)百六(liu)十(shi)(shi)五
七日(ri)十(shi)(shi)三(san)度二(er)百(bai)(bai)六十(shi)(shi)六分 益八(ba)十(shi)(shi) 盈三(san)千四十(shi)(shi)七 盈积分二(er)万三(san)千八(ba)百(bai)(bai)二(er)
八日(ri)十三(san)度六十一(yi)(yi)分 损一(yi)(yi)百(bai)二(er)十五 盈三(san)千(qian)一(yi)(yi)百(bai)二(er)十七(qi)(qi) 盈积(ji)分三(san)万(wan)四千(qian)七(qi)(qi)百(bai)一(yi)(yi)十七(qi)(qi)
九日(ri)十(shi)(shi)三度四(si)百三十(shi)(shi)九分 损(sun)二百五十(shi)(shi)二 盈三千二 盈积(ji)分三万三千三百二十(shi)(shi)九
十(shi)(shi)(shi)日(ri)十(shi)(shi)(shi)二度(du)三(san)百(bai)三(san)十(shi)(shi)(shi)八分 损三(san)百(bai)五(wu)(wu)十(shi)(shi)(shi)三(san) 盈(ying)二千七百(bai)五(wu)(wu)十(shi)(shi)(shi) 盈(ying)积分三(san)万五(wu)(wu)百(bai)三(san)十(shi)(shi)(shi)一
十(shi)(shi)(shi)(shi)一日十(shi)(shi)(shi)(shi)二(er)度二(er)百(bai)(bai)三十(shi)(shi)(shi)(shi)七(qi)分 损四(si)百(bai)(bai)五十(shi)(shi)(shi)(shi)四(si) 盈二(er)千(qian)三百(bai)(bai)九(jiu)十(shi)(shi)(shi)(shi)七(qi) 盈积分二(er)万六(liu)千(qian)六(liu)百(bai)(bai)一十(shi)(shi)(shi)(shi)二(er)
十(shi)(shi)二日(ri)十(shi)(shi)二度一(yi)百(bai)(bai)(bai)三十(shi)(shi)六分 损(sun)五(wu)百(bai)(bai)(bai)五(wu)十(shi)(shi)五(wu) 盈一(yi)千(qian)九(jiu)百(bai)(bai)(bai)四十(shi)(shi)二 盈积分二万一(yi)千(qian)五(wu)百(bai)(bai)(bai)七(qi)十(shi)(shi)二
十三日十二度三十五分 损六百五十六 盈一(yi)(yi)(yi)千三百八十八 盈积(ji)分一(yi)(yi)(yi)万五千四百一(yi)(yi)(yi)十
十(shi)(shi)四日十(shi)(shi)一度四百(bai)(bai)六十(shi)(shi)四分 损(sun)七(qi)(qi)百(bai)(bai)三十(shi)(shi)一 盈七(qi)(qi)百(bai)(bai)三十(shi)(shi)二 盈积分八千一百(bai)(bai)二十(shi)(shi)七(qi)(qi)
十五日十二度三(san)十六(liu)分 益六(liu)百五十五 缩初
十(shi)六日十(shi)二度一(yi)百九(jiu)分 益五百八十(shi)二 缩(suo)(suo)六百五十(shi)五 缩(suo)(suo)积分七千一(yi)百七十(shi)二
十(shi)七日十(shi)二(er)度一(yi)百(bai)(bai)八十(shi)九分 益五百(bai)(bai)二(er) 缩一(yi)千(qian)二(er)百(bai)(bai)三十(shi)七 缩积分一(yi)万三千(qian)七百(bai)(bai)三十(shi)四
十(shi)八日十(shi)二度(du)二百(bai)(bai)九十(shi)分 益四百(bai)(bai)一(yi) 缩一(yi)千七百(bai)(bai)三(san)十(shi)七 缩积分一(yi)万九千三(san)百(bai)(bai)七
十(shi)(shi)(shi)九(jiu)(jiu)日十(shi)(shi)(shi)二度三百(bai)(bai)九(jiu)(jiu)十(shi)(shi)(shi)二分(fen) 益(yi)二百(bai)(bai)九(jiu)(jiu)十(shi)(shi)(shi)九(jiu)(jiu) 缩二千(qian)一(yi)百(bai)(bai)四(si)十(shi)(shi)(shi) 缩积分(fen)二万三千(qian)七(qi)百(bai)(bai)五十(shi)(shi)(shi)九(jiu)(jiu)
二(er)十(shi)(shi)(shi)(shi)日十(shi)(shi)(shi)(shi)二(er)度四百(bai)九(jiu)(jiu)十(shi)(shi)(shi)(shi)六分 益一百(bai)九(jiu)(jiu)十(shi)(shi)(shi)(shi)五(wu) 缩二(er)千四百(bai)三十(shi)(shi)(shi)(shi)九(jiu)(jiu) 缩积分二(er)万(wan)七(qi)千七(qi)十(shi)(shi)(shi)(shi)九(jiu)(jiu)
二(er)十一(yi)日(ri)十三度一(yi)百一(yi)十八分(fen) 益六十八 缩(suo)二(er)千六百三十四(si)(si) 缩(suo)积分(fen)二(er)万九千二(er)百四(si)(si)十四(si)(si)
二十(shi)二日(ri)十(shi)三(san)(san)度二百(bai)三(san)(san)十(shi)三(san)(san)分 损五十(shi)七 缩二千七百(bai)二 缩积分二万九(jiu)千九(jiu)百(bai)九(jiu)十(shi)九(jiu)
二十三日十三度三百(bai)八十八分 损二百(bai)二 缩二千六百(bai)四十五 缩积分二万(wan)九千三百(bai)六十六
二十(shi)四(si)日十(shi)四(si)度二十(shi)九分 损三百(bai)(bai)四(si)十(shi)八 缩二千(qian)四(si)百(bai)(bai)四(si)十(shi)三 缩积分二万七千(qian)一(yi)百(bai)(bai)二十(shi)三
二(er)十(shi)五日十(shi)四(si)(si)度(du)一百(bai)(bai)七(qi)十(shi)四(si)(si)分 损四(si)(si)百(bai)(bai)九十(shi)三(san) 缩二(er)千九十(shi)五 缩积分二(er)万三(san)千二(er)百(bai)(bai)五十(shi)九
二(er)十六(liu)日十四(si)度三(san)百八十七(qi)分 损六(liu)百六(liu) 缩(suo)一(yi)千六(liu)百二(er) 缩(suo)积分一(yi)万七(qi)千七(qi)百八十六(liu)
二十(shi)(shi)七(qi)日(ri)十(shi)(shi)四(si)度三百(bai)一(yi)(yi)十(shi)(shi)一(yi)(yi)分 损六百(bai)三十(shi)(shi)一(yi)(yi) 缩九百(bai)九十(shi)(shi)六 缩积分一(yi)(yi)万一(yi)(yi)千五十(shi)(shi)八(ba)
周(zhou)日(ri)十(shi)四度三(san)(san)百三(san)(san)十(shi)九 损六(liu)(liu)百五十(shi)小(xiao)分缩三(san)(san)百六(liu)(liu)十(shi)五 缩积分四百五十(shi)二。
分(fen)小(xiao)(xiao)分(fen)九千(qian)(qian)六(liu)百(bai)八十四(si)分(fen) 九千(qian)(qian) 六(liu)百(bai)八十四(si)分(fen) 。, 推合朔交会(hui)月蚀(shi)定大小(xiao)(xiao)余(yu)术曰:以(yi)入历(li)日(ri)余(yu)乘所(suo)入历(li)下损(sun)益(yi)率,以(yi)小(xiao)(xiao)周六(liu)千(qian)(qian)七百(bai)五十一除之(zhi)(zhi)(zhi),所(suo)得(de)以(yi)损(sun)益(yi)盈(ying)缩(suo)积分(fen),为定积分(fen)。值(zhi)盈(ying)者,以(yi)减(jian)(jian)本朔望小(xiao)(xiao)余(yu);值(zhi)缩(suo)者,加(jia)之(zhi)(zhi)(zhi)。加(jia)之(zhi)(zhi)(zhi)满日(ri)法(fa)(fa)者,交会(hui)加(jia)时(shi)在(zai)(zai)后日(ri)。减(jian)(jian)之(zhi)(zhi)(zhi),不足减(jian)(jian)者,减(jian)(jian)上一日(ri),加(jia)下日(ri)法(fa)(fa)乃减(jian)(jian)之(zhi)(zhi)(zhi),交会(hui)加(jia)时(shi)在(zai)(zai)前日(ri)。月蚀(shi)者,随定大小(xiao)(xiao)余(yu)为定日(ri)加(jia)时(shi)。
推加(jia)时(shi)术曰(yue):以时(shi)法(fa)(fa)六(liu)千二百四十(shi)六(liu)除定(ding)小余(yu),所得(de)命以子起(qi),算外。朔望加(jia)时(shi)有余(yu)不尽(jin)者,四之(zhi),加(jia)法(fa)(fa)得(de)一为(wei)(wei)(wei)(wei)少(shao),二为(wei)(wei)(wei)(wei)半(ban)(ban)(ban)(ban),三(san)为(wei)(wei)(wei)(wei)太半(ban)(ban)(ban)(ban)。又有余(yu)者,三(san)之(zhi),如法(fa)(fa)得(de)一为(wei)(wei)(wei)(wei)强(qiang),半(ban)(ban)(ban)(ban)法(fa)(fa)以上排成之(zhi),不满半(ban)(ban)(ban)(ban)法(fa)(fa)弃之(zhi)。以强(qiang)并(bing)少(shao)为(wei)(wei)(wei)(wei)少(shao)强(qiang),并(bing)半(ban)(ban)(ban)(ban)为(wei)(wei)(wei)(wei)半(ban)(ban)(ban)(ban)强(qiang),并(bing)太为(wei)(wei)(wei)(wei)太强(qiang),得(de)二强(qiang)者为(wei)(wei)(wei)(wei)少(shao)弱,以定(ding)之(zhi)并(bing)少(shao)为(wei)(wei)(wei)(wei)半(ban)(ban)(ban)(ban)强(qiang),以之(zhi)并(bing)半(ban)(ban)(ban)(ban)为(wei)(wei)(wei)(wei)太弱。以之(zhi)并(bing)太为(wei)(wei)(wei)(wei)一弱,随所在辰(chen)命之(zhi),则其强(qiang)弱。日(ri)之(zhi)冲(chong)为(wei)(wei)(wei)(wei)破(po),月常大破(po)下蚀。
入历(li)值惆日(ri)者术曰(yue):以(yi)周(zhou)日(ri)日(ri)余(yu)乘损率,以(yi)周(zhou)日(ri)度小(xiao)(xiao)(xiao)分(fen)并。又以(yi)入历(li)日(ri)余(yu)乘之(zhi)为(wei)实(shi),以(yi)小(xiao)(xiao)(xiao)周(zhou)乘周(zhou)日(ri)日(ri)余(yu)为(wei)法(fa),实(shi)如法(fa)得(de)一(yi),以(yi)减(jian)缩积积分(fen)。有余(yu)者,以(yi)加(jia)本朔望(wang)小(xiao)(xiao)(xiao)余(yu),小(xiao)(xiao)(xiao)余(yu)满(man)日(ri)法(fa)从(cong)大余(yu)一(yi),是为(wei)蚀后(hou)日(ri)。推加(jia)时如上法(fa)。
推日月合朔弦望度术(shu)第五
推日(ri)(ri)(ri)度(du)术曰(yue):置入纪朔(shuo)积日(ri)(ri)(ri),以日(ri)(ri)(ri)度(du)法(fa)乘之,满(man)(man)周天(tian)去之,余满(man)(man)日(ri)(ri)(ri)度(du)法(fa)为(wei)度(du),不(bu)尽为(wei)余。命度(du)起牛(niu)前十(shi)二(er)度(du),牛(niu)前十(shi)二(er)度(du),在斗十(shi)五度(du)也。 宿次除之,不(bu)满(man)(man)宿者,算外(wai),即天(tian)正(zheng)十(shi)一月朔(shuo)夜(ye)半日(ri)(ri)(ri)所在度(du)。
推日度(du)又法,术曰:置(zhi)周天三百(bai)六十(shi)五度(du)、斗分(fen)一千(qian)四百(bai)七十(shi)七,以(yi)冬至去(qu)朔日数(shu)减(jian)(jian)一,余(yu)以(yi)减(jian)(jian)周天度(du),冬至小余(yu)减(jian)(jian)斗分(fen),不足减(jian)(jian)者,减(jian)(jian)度(du)一,加日度(du)法,乃(nai)减(jian)(jian)之。命(ming)起如(ru)上,即(ji)所(suo)求年(nian)天正十(shi)一月(yue)朔日夜半日所(suo)在度(du)。
求次(ci)月日所在度术曰:月大(da)加(jia)三十度,月小加(jia)二(er)十九度,求次(ci)日加(jia)一度,宿次(ci)除(chu)之,迳斗去其分一千四百七十七。
推合朔(shuo)日月(yue)共度(du)(du)术曰:以(yi)(yi)章岁(sui)乘朔(shuo)小余,以(yi)(yi)章月(yue)除(chu)之,所(suo)得为大分,不尽为小,以(yi)(yi)加夜半(ban)日度(du)(du)分,分满日度(du)(du)法从度(du)(du),命起如前(qian),即所(suo)求天正十一月(yue)朔(shuo)日月(yue)共度(du)(du)。
求次(ci)月(yue)(yue)合(he)朔共(gong)度(du)术曰:加度(du)二(er)十(shi)九、大(da)分(fen)(fen)三(san)千(qian)二(er)百(bai)一(yi)十(shi)五、小分(fen)(fen)二(er)千(qian)四百(bai)五十(shi)五,小分(fen)(fen)满(man)章月(yue)(yue)从(cong)(cong)大(da)分(fen)(fen),大(da)分(fen)(fen)满(man)日(ri)度(du)法从(cong)(cong)度(du),宿次(ci)除之,迳斗除其分(fen)(fen),则(ze)次(ci)月(yue)(yue)合(he)朔日(ri)月(yue)(yue)共(gong)度(du)。
推月度术(shu)曰:置入纪(ji)朔积日(ri),以月周八(ba)万一(yi)千一(yi)十(shi)二乘之(zhi),满(man)(man)周天去(qu)之(zhi),余以日(ri)度法约之(zhi)为(wei)(wei)度,不(bu)尽为(wei)(wei)度分。命(ming)度起牛前十(shi)二度,宿(su)次除之(zhi),不(bu)满(man)(man)宿(su)者,算(suan)外,即所(suo)求(qiu)年(nian)天正十(shi)一(yi)月朔夜(ye)半月所(suo)在度及分。
推(tui)月(yue)(yue)度又一法,术曰:以(yi)小周乘朔(shuo)小余为实(shi),以(yi)章岁乘日法为法,实(shi)如法得(de)一为度;不(bu)满法者,以(yi)章月(yue)(yue)除之,为大分,不(bu)尽为小。所(suo)得(de)以(yi)减合朔(shuo)度及(ji)分,余即所(suo)求年(nian)天正(zheng)十一月(yue)(yue)朔(shuo)夜半(ban)月(yue)(yue)所(suo)在度及(ji)分。
求次月度(du)术曰(yue):小月加度(du)二(er)(er)十二(er)(er)、分二(er)(er)千六(liu)百五十一,大月加度(du)三(san)十五、分四千八百八十三(san),分满(man)日(ri)度(du)法从度(du),宿次除(chu)之,不(bu)满(man)宿者,算外,次月所在度(du)。
求次日月(yue)行度术曰:加度十三、分(fen)二(er)千(qian)二(er)百三十二(er),分(fen)满日度法从度,宿次除(chu)之,迳斗(dou)去其分(fen)。
求弦望日(ri)所在度术(shu)曰:加合(he)朔(shuo)度七、大分(fen)二(er)(er)千三百一十(shi)八、小分(fen)五(wu)千二(er)(er)百九十(shi)八、微分(fen)一,微分(fen)满(man)(man)四从(cong)小分(fen),小分(fen)满(man)(man)章月(yue)(yue)从(cong)大分(fen),大分(fen)满(man)(man)日(ri)度法从(cong)大度,命如上(shang),则上(shang)弦日(ri)所在度。又(you)加得望、下(xia)弦、月(yue)(yue)合(he)朔(shuo)。
斗(dou)二十(shi)六度(du) 牛八度(du) 女十(shi)二度(du) 虚十(shi)度(du)。
危十(shi)七度(du) 室(shi)十(shi)六度(du) 壁九度(du)
北方玄武七(qi)宿:九(jiu)十(shi)八度一千四百七(qi)十(shi)七(qi)分
奎十六度(du) 娄十二度(du) 胃(wei)十四(si)度(du) 昴十一度(du)
毕十六度 觜(zui)二度 参九度
西方白虎(hu)七宿(su):八十(shi)度
井三(san)十三(san)度 鬼四度 柳十五度 星七度
张十八度 翼十八度 轸(zhen)十七(qi)度
南(nan)方朱(zhu)鸟七宿:一百一十二度
角十二(er)度(du) 亢九度(du) 氐一十五(wu)度(du) 房五(wu)度(du)
心五度 尾十八度 箕十一度
东方仓(cang)龙七(qi)宿(su):七(qi)十(shi)五度
周天(tian)三百(bai)(bai)六十五度(du)、六千(qian)六十分(fen)度(du)之一千(qian)四百(bai)(bai)七(qi)十七(qi)。通分(fen),得二百(bai)(bai)二十一万三千(qian)一百(bai)(bai)七(qi)十七(qi),名曰周天(tian)分(fen)。
五行没灭易(yi)卦(gua)气候上朔(shuo)术第六
推五(wu)(wu)行用(yong)事日(ri):水(shui)、火(huo)、木(mu)、金(jin)、土(tu)(tu)各王(wang)七十(shi)(shi)三(san)日(ri)、小(xiao)(xiao)(xiao)(xiao)余(yu)(yu)(yu)(yu)二(er)百(bai)九十(shi)(shi)五(wu)(wu)、小(xiao)(xiao)(xiao)(xiao)分(fen)(fen)(fen)九、微(wei)(wei)分(fen)(fen)(fen)三(san),春木(mu)、夏(xia)火(huo)、秋金(jin)、冬水(shui)四(si)(si)立即(ji)其用(yong)事。始求(qiu)土(tu)(tu)者(zhe)(zhe),置立春大(da)(da)(da)(da)小(xiao)(xiao)(xiao)(xiao)余(yu)(yu)(yu)(yu)及分(fen)(fen)(fen),以木(mu)王(wang)七十(shi)(shi)三(san)日(ri)、小(xiao)(xiao)(xiao)(xiao)余(yu)(yu)(yu)(yu)二(er)百(bai)九十(shi)(shi)五(wu)(wu)、小(xiao)(xiao)(xiao)(xiao)分(fen)(fen)(fen)九、微(wei)(wei)分(fen)(fen)(fen)三(san)加(jia)(jia)之(zhi),微(wei)(wei)分(fen)(fen)(fen)满(man)(man)五(wu)(wu)从(cong)(cong)小(xiao)(xiao)(xiao)(xiao)分(fen)(fen)(fen)一,小(xiao)(xiao)(xiao)(xiao)分(fen)(fen)(fen)满(man)(man)气法二(er)十(shi)(shi)四(si)(si)从(cong)(cong)小(xiao)(xiao)(xiao)(xiao)余(yu)(yu)(yu)(yu)一,小(xiao)(xiao)(xiao)(xiao)余(yu)(yu)(yu)(yu)满(man)(man)蔀(bu)法从(cong)(cong)大(da)(da)(da)(da)余(yu)(yu)(yu)(yu)一,大(da)(da)(da)(da)余(yu)(yu)(yu)(yu)满(man)(man)六十(shi)(shi)去(qu)之(zhi),命以纪,得(de)季春土(tu)(tu)王(wang)日(ri)。又加(jia)(jia)土(tu)(tu)王(wang)十(shi)(shi)八日(ri)、小(xiao)(xiao)(xiao)(xiao)余(yu)(yu)(yu)(yu)一千五(wu)(wu)百(bai)八十(shi)(shi)八、小(xiao)(xiao)(xiao)(xiao)分(fen)(fen)(fen)二(er)十(shi)(shi)、微(wei)(wei)分(fen)(fen)(fen)二(er),满(man)(man)从(cong)(cong)命如上,即(ji)得(de)立夏(xia)日(ri)。求(qiu)次如法。又一法求(qiu)土(tu)(tu)王(wang)用(yong)事日(ri):各置四(si)(si)立大(da)(da)(da)(da)小(xiao)(xiao)(xiao)(xiao)余(yu)(yu)(yu)(yu)及分(fen)(fen)(fen),各减(jian)大(da)(da)(da)(da)余(yu)(yu)(yu)(yu)十(shi)(shi)八、小(xiao)(xiao)(xiao)(xiao)余(yu)(yu)(yu)(yu)一千五(wu)(wu)百(bai)八十(shi)(shi)八、小(xiao)(xiao)(xiao)(xiao)分(fen)(fen)(fen)二(er)十(shi)(shi)、微(wei)(wei)分(fen)(fen)(fen)二(er),命以纪,算外,即(ji)四(si)(si)立土(tu)(tu)王(wang)日(ri)。若大(da)(da)(da)(da)余(yu)(yu)(yu)(yu)不足减(jian)者(zhe)(zhe),加(jia)(jia)六十(shi)(shi)而后减(jian)之(zhi);小(xiao)(xiao)(xiao)(xiao)余(yu)(yu)(yu)(yu)不足减(jian)者(zhe)(zhe),减(jian)取(qu)大(da)(da)(da)(da)余(yu)(yu)(yu)(yu)一,加(jia)(jia)蔀(bu)法乃减(jian)之(zhi)。
推没灭 术曰(yue):因(yin)冬(dong)至(zhi)积没有小(xiao)余者,加积一,以(yi)没分乘(cheng)之,如(ru)没法而一,为(wei)(wei)积日(ri),不尽(jin)为(wei)(wei)没余。以(yi)六旬去积日(ri),余为(wei)(wei)没日(ri),命(ming)以(yi)纪,算外,即所求年天正(zheng)十一月(yue)冬(dong)至(zhi)后没日(ri)。
求(qiu)次没(mei)(mei)(mei) 术曰:加没(mei)(mei)(mei)日(ri)(ri)六(liu)十(shi)九(jiu)、没(mei)(mei)(mei)余(yu)二万七百(bai)六(liu)十(shi)四、,没(mei)(mei)(mei)余(yu)满没(mei)(mei)(mei)法三(san)万一千(qian)七百(bai)七从(cong)没(mei)(mei)(mei)日(ri)(ri)一,没(mei)(mei)(mei)日(ri)(ri)满六(liu)十(shi)去之,命以(yi)纪,算(suan)(suan)外,即(ji)次没(mei)(mei)(mei)月(yue)。一岁常有五(wu)没(mei)(mei)(mei)或六(liu)没(mei)(mei)(mei),小(xiao)余(yu)尽者为(wei)灭日(ri)(ri)。又(you),以(yi)冬(dong)至去朔日(ri)(ri)加没(mei)(mei)(mei)日(ri)(ri),冬(dong)至小(xiao)余(yu)满部法从(cong)没(mei)(mei)(mei)日(ri)(ri),命日(ri)(ri)起(qi)天正十(shi)一月(yue),如历月(yue)大小(xiao)除之,不(bu)足,除者入月(yue)算(suan)(suan),命以(yi)朔,算(suan)(suan)外,即(ji)冬(dong)至后(hou)没(mei)(mei)(mei)日(ri)(ri)。求(qiu)次没(mei)(mei)(mei):加没(mei)(mei)(mei)没(mei)(mei)(mei)日(ri)(ri)六(liu)十(shi)九(jiu),没(mei)(mei)(mei)余(yu)三(san)千(qian)九(jiu)百(bai)五(wu)十(shi)九(jiu)、没(mei)(mei)(mei)分(fen)二万四千(qian)六(liu)百(bai)九(jiu)十(shi)七,分(fen)满没(mei)(mei)(mei)法从(cong)没(mei)(mei)(mei)余(yu),满部法从(cong)没(mei)(mei)(mei)日(ri)(ri),命起(qi)前没(mei)(mei)(mei)月(yue),历月(yue)大小(xiao)除之,即(ji)后(hou)没(mei)(mei)(mei)日(ri)(ri)及(ji)余(yu)。
推(tui)四正卦 术曰(yue):因冬至大小余(yu),即《坎卦》用事(shi)(shi)日(ri);春分,即《震卦》用事(shi)(shi)日(ri);夏至,即《离卦》用事(shi)(shi)日(ri);秋分,即《兗卦》用事(shi)(shi)日(ri)。
求《中(zhong)孚卦》:加(jia)(jia)(jia)冬至小余五(wu)千五(wu)百三十、小分(fen)(fen)九、微分(fen)(fen)一,微分(fen)(fen)满五(wu)从小分(fen)(fen),小分(fen)(fen)满气法从小余,小余满部法从大余,命以纪(ji),算外,即《中(zhong)孚卦》用(yong)事日。其《解》加(jia)(jia)(jia)《震(zhen)》,《咸》加(jia)(jia)(jia)《离》,《贲》加(jia)(jia)(jia)《兗(yan)》,亦如《中(zhong)孚》加(jia)(jia)(jia)《坎》。
求次卦(gua):加(jia)(jia)(jia)《坎(kan)》大(da)余(yu)六(liu)、小余(yu)五百二(er)十(shi)九、小分(fen)(fen)(fen)十(shi)四、微(wei)分(fen)(fen)(fen)四,微(wei)分(fen)(fen)(fen)满五从小分(fen)(fen)(fen),小分(fen)(fen)(fen)满气(qi)法从小余(yu),小余(yu)满部(bu)法从大(da)余(yu),命以纪,算(suan)外,即《复卦(gua)》用事日。《大(da)壮》加(jia)(jia)(jia)《震》,《妒》加(jia)(jia)(jia)《离》,《观》加(jia)(jia)(jia)《兗(yan)》,如《中孚(fu)》加(jia)(jia)(jia)《坎(kan)》。
十一月(yue),《未济》、《蹇》、《颐》、《中孚(fu)》、《复》;十二月(yue),《屯》、《谦(qian)》、《睽》、《升(sheng)》、《临》;正月(yue),《小(xiao)(xiao)过》、《蒙》、《益》、《渐》、《泰》;二月(yue),《需》、《随》、《晋》、《解》、《大(da)(da)壮》;三月(yue),《讼》、《豫(yu)》《蛊(gu)》、《革》、《史》;四月(yue),《旅》、《师》、《比》、《小(xiao)(xiao)畜(chu)》、《乾》;五月(yue),《大(da)(da)有》、《家(jia)人》、《井》、《咸》、《始》;六月(yue),《鼎》、《丰(feng)》、《涣(huan)》、《履》、《遁》;七月(yue),《恆》、《节》、《同人》、《损》、《否》;八月(yue),《巽》、《萃》、《大(da)(da)畜(chu)》、《贲(bi)》、《观(guan)》;九月(yue),《归妹》、《无妄》、《明夷》、《困》、《剥》;十月(yue),《艮》、《既济》、《噬嗑》、《大(da)(da)过》、《坤》。
四正为(wei)(wei)方伯,《中孚》为(wei)(wei)三(san)公(gong),《复》为(wei)(wei)天子,《屯》为(wei)(wei)诸侯,《谦》为(wei)(wei)大夫(fu),《睽》为(wei)(wei)九卿》,《升》还从三(san)公(gong),周而复始。九三(san)应(ying)(ying)上(shang)九,清净微(wei)(wei)温(wen)阳风;九三(san)应(ying)(ying)上(shang)六,绛赤决温(wen)阴(yin)(yin)雨(yu)(yu)。六三(san)应(ying)(ying)上(shang)六,白浊微(wei)(wei)寒阴(yin)(yin)雨(yu)(yu);六三(san)应(ying)(ying)上(shang)九,曲尘决寒阳风。诸卦(gua)上(shang)有阳爻者,阳风;上(shang)有阴(yin)(yin)爻者,阴(yin)(yin)雨(yu)(yu)。
推七十二候 术曰:因(yin)冬(dong)至大(da)(da)小余,即(ji)虎始交日,加大(da)(da)余五、小余四百(bai)四十一、小分八、微(wei)分一,微(wei)分满三从(cong)小分,小分满气法从(cong)小余,小余满部(bu)从(cong)大(da)(da)余,命以纪,算外,所候日。
冬至(zhi) 虎始(shi)交(jiao) 芸(yun)始(shi)生 荔挺出
小寒 蚯蚓(yin)结 麋角解 水泉动
大寒 雁(yan)北(bei)向(xiang) 鹊始巢 雉(zhi)始雊(gou)
立春 鸡始乳 东风(feng)解冻(dong) 蛰虫始振
雨水 鱼上冰 獭祭鱼 鸿雁(yan)来
惊蛰 始雨(yu)水 桃始华 仓(cang)庚鸣(ming)
春分 鹰化鸠 玄(xuan)鸟(niao)至(zhi) 雷(lei)始发声
清明 电(dian)始见(jian) 蛰虫(chong)咸动 蛰虫(chong)启户
谷雨 桐始(shi)花 田(tian)鼠(shu)为鴽 虹始(shi)见
立夏 萍(ping)始生 戴胜降於桑 蝼蝈鸣(ming)
小满 蚯蚓出 王(wang)瓜生 苦菜秀(xiu)
芒种 靡(mi)草死 小暑(shu)至 螳螂(lang)生
夏至 鵙始鸣(ming) 反舌无声 鹿角解
小暑 蝉始鸣 半夏生 木槿荣(rong)
大暑 温风至 蟋蟀(shuai)居(ju)壁 鹰乃(nai)学习
立(li)秋 腐草化萤 土润溽暑(shu) 凉风(feng)至
处暑 白露降 寒蝉鸣 鹰祭鸟
白(bai)露 天地始肃(su) 暴风(feng)至 鸿雁来
秋分 玄鸟(niao)归 群鸟(niao)养(yang)羞 雷始收声
寒露 蛰虫附(fu)户 杀(sha)气(qi)浸盛 阳(yang)气(qi)始(shi)衰
霜降 水始涸(he) 鸿雁(yan)来宾 雀入大(da)水化(hua)为蛤(ha)
立(li)冬 菊有黄华 豺(chai)祭兽 水(shui)始冰
小雪(xue) 地始冻 雉入大(da)水化为(wei)蜃(shen) 虹藏不见(jian)
大雪 冰(bing)益(yi)壮 地始坼 鹖旦不鸣(ming)
术曰:因冬至(zhi)虎(hu)始(shi)交后,五日(ri)一候。
推上(shang)朔(shuo)法:置(zhi)放纪年减一,加八(ba),以(yi)(yi)(yi)六律乘之(zhi),以(yi)(yi)(yi)六千去之(zhi),余为(wei)大余,以(yi)(yi)(yi)甲子算(suan)外(wai),上(shang)朔(shuo)日(ri)。
推五星六通术第七
上元壬子以来至《春秋》隐公(gong)元年己(ji)未,积十六(liu)万六(liu)千五百七(qi)(qi),算外;至今大魏(wei)熙平二(er)年,岁次丁(ding)酉,积十六(liu)万七(qi)(qi)千七(qi)(qi)百四十五,算外。
木精(jing)曰(yue)岁(sui)星,其(qi)数二百四十一万(wan)六千(qian)六百六十。
火精(jing)曰荧惑星,其(qi)数四百七十二万(wan)五(wu)千八百四十八。
土(tu)精曰(yue)镇星,其(qi)数三(san)百(bai)二十(shi)九万(wan)一千二十(shi)一。
金精曰太白,其数(shu)三百五十三万八千一(yi)百三十一(yi)
水精曰辰星,其数七(qi)十万二(er)千一百八十二(er)
推五(wu)(wu)星:置上元(yuan)来尽(jin)所求年,减一(yi),以周天二(er)百二(er)十一(yi)万三千三百七(qi)十乘(cheng)之(zhi),名为(wei)六通之(zhi)实。以部法除之(zhi),所得为(wei)冬至积日(ri),不尽(jin)为(wei)小(xiao)(xiao)余(yu)。以旬(xun)六去积日(ri),不尽(jin)为(wei)大余(yu),命以甲(jia)子,算(suan)外,即冬至日(ri)。以章岁五(wu)(wu)百五(wu)(wu)除冬至小(xiao)(xiao)余(yu),所得命子,算(suan)外,即律气加时。
五星各以(yi)(yi)其数为(wei)法,除(chu)六通实,所(suo)(suo)得(de)为(wei)积合(he)(he),不尽(jin)为(wei)合(he)(he)余。以(yi)(yi)合(he)(he)余减(jian)法,余为(wei)入岁(sui)度(du)(du)(du)分,以(yi)(yi)日度(du)(du)(du)约之,所(suo)(suo)得(de)即所(suo)(suo)求天正(zheng)十(shi)(shi)一月(yue)冬至后晨(chen)夕(xi)合(he)(he)度(du)(du)(du)算(suan)及余。其金、水,以(yi)(yi)一合(he)(he)日数及合(he)(he)余减(jian)合(he)(he)度(du)(du)(du)算(suan)及余,得(de)一者为(wei)夕(xi)见(jian),无所(suo)(suo)得(de)为(wei)晨(chen)见(jian)。若度(du)(du)(du)余不足减(jian),减(jian)合(he)(he)度(du)(du)(du)算(suan)一,加(jia)日度(du)(du)(du)法乃减(jian)之。命起牛前十(shi)(shi)二度(du)(du)(du),宿次除(chu)之,不满宿者,算(suan)外,即天正(zheng)十(shi)(shi)一月(yue)冬至后晨(chen)夕(xi)合(he)(he)度(du)(du)(du)及余。
求星合(he)月(yue)及(ji)(ji)日:置冬至朔日数减一(yi),以加合(he)度(du)算,以冬至小余加度(du)余,度(du)余满(man)日度(du)法(fa)去之,加度(du)一(yi),合(he)度(du)算变(bian)成合(he)日算,余为日余。命起天正十一(yi)月(yue),如历(li)月(yue)大小除之,不(bu)满(man)月(yue)者,算外(wai),星合(he)月(yue)及(ji)(ji)日,有(you)闰(run)计之。
求(qiu)后合月(yue)及(ji)日,以合终日数(shu)及(ji)余(yu)如前入月(yue)算及(ji)余(yu),余(yu)满日度(du)从日,历月(yue)大小除之,起前合月(yue),算外(wai),即后合月(yue)及(ji)日。其(qi)金、水,以一(yi)合日数(shu)及(ji)余(yu),加(jia)晨(chen)得夕,加(jia)夕得晨(chen)。
求后合(he)度(du)(du)(du):以行星(xing)度(du)(du)(du)及余(yu)加前合(he)度(du)(du)(du)算及余(yu),余(yu)满(man)日度(du)(du)(du)从度(du)(du)(du),命起前合(he)度(du)(du)(du),宿次除之,不满(man)宿者,算外,即后合(he)度(du)(du)(du)及余(yu)。迳斗去其分一千四百(bai)七十(shi)七。
岁星(xing):合终日数(shu)三百九(jiu)十(shi)八(ba),合终日余四(si)千七百八(ba)十(shi),行星(xing)三十(shi)三度,度余三千三百三,周虚(xu)一千二百八(ba)十(shi)。
岁星:晨(chen)与日(ri)(ri)(ri)(ri)(ri)合(he),在(zai)日(ri)(ri)(ri)(ri)(ri)后(hou)伏,十(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)、余二(er)(er)(er)千三百(bai)九十(shi)(shi)(shi)(shi)(shi)(shi),行(xing)星二(er)(er)(er)度(du)(du)(du)、余四千六(liu)(liu)百(bai)八(ba)十(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)半。去日(ri)(ri)(ri)(ri)(ri)十(shi)(shi)(shi)(shi)(shi)(shi)三度(du)(du)(du)半,晨(chen)见东方,顺(shun),疾(ji),日(ri)(ri)(ri)(ri)(ri)行(xing)五(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)分(fen)之(zhi)(zhi)十(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi),五(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)行(xing)十(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)度(du)(du)(du)。顺(shun),迟,日(ri)(ri)(ri)(ri)(ri)行(xing)九分(fen),五(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)行(xing)九度(du)(du)(du)而留。不行(xing),二(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)而旋。逆,日(ri)(ri)(ri)(ri)(ri)行(xing)七(qi)(qi)(qi)分(fen)之(zhi)(zhi)一(yi)(yi),八(ba)十(shi)(shi)(shi)(shi)(shi)(shi)四度(du)(du)(du)日(ri)(ri)(ri)(ri)(ri)退十(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)度(du)(du)(du)。复留二(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)。复顺(shun),迟,日(ri)(ri)(ri)(ri)(ri)行(xing)九分(fen),五(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)行(xing)九度(du)(du)(du)。复疾(ji),日(ri)(ri)(ri)(ri)(ri)行(xing)十(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)分(fen),五(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)行(xing)十(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)度(du)(du)(du),在(zai)日(ri)(ri)(ri)(ri)(ri)前,夕伏西(xi)方。顺(shun),迟,十(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)、日(ri)(ri)(ri)(ri)(ri)余二(er)(er)(er)千三百(bai)九十(shi)(shi)(shi)(shi)(shi)(shi),行(xing)星二(er)(er)(er)度(du)(du)(du)、余四干(gan)千六(liu)(liu)百(bai)八(ba)十(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)半,与日(ri)(ri)(ri)(ri)(ri)合(he)。凡一(yi)(yi)见三百(bai)六(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)日(ri)(ri)(ri)(ri)(ri),行(xing)星二(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)八(ba)度(du)(du)(du);在(zai)日(ri)(ri)(ri)(ri)(ri)前后(hou)伏三十(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)、余四千七(qi)(qi)(qi)百(bai)八(ba)十(shi)(shi)(shi)(shi)(shi)(shi),行(xing)星五(wu)(wu)度(du)(du)(du),度(du)(du)(du)余三千三百(bai)三,复终(zhong)于晨(chen)见。
荧惑:合终(zhong)(zhong)日数七百七十九,合终(zhong)(zhong)日余五(wu)千一(yi)十八,周(zhou)虚(xu)九百五(wu)十二(er),行星四(si)十九度(du),度(du)余二(er)千一(yi)百五(wu)十四(si)。
荧惑(huo):晨与日(ri)(ri)(ri)(ri)合,在(zai)日(ri)(ri)(ri)(ri)后(hou)伏,七(qi)(qi)十(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)、余五(wu)(wu)(wu)千(qian)(qian)五(wu)(wu)(wu)百(bai)(bai)八(ba)(ba)十(shi)(shi)四(si)(si),行(xing)(xing)(xing)星(xing)(xing)五(wu)(wu)(wu)十(shi)(shi)五(wu)(wu)(wu)度(du)(du)(du)、余四(si)(si)千(qian)(qian)八(ba)(ba)百(bai)(bai)四(si)(si)十(shi)(shi)五(wu)(wu)(wu)半。去(qu)日(ri)(ri)(ri)(ri)十(shi)(shi)六(liu)度(du)(du)(du),晨见东方,顺(shun)(shun),迟,日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)二(er)(er)(er)十(shi)(shi)三(san)(san)(san)分(fen)(fen)之十(shi)(shi)四(si)(si),一(yi)(yi)(yi)(yi)(yi)(yi)百(bai)(bai)八(ba)(ba)十(shi)(shi)四(si)(si)日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)(yi)百(bai)(bai)一(yi)(yi)(yi)(yi)(yi)(yi)十(shi)(shi)二(er)(er)(er)度(du)(du)(du)。顺(shun)(shun),迟,日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)二(er)(er)(er)十(shi)(shi)三(san)(san)(san)分(fen)(fen)之十(shi)(shi)二(er)(er)(er),九十(shi)(shi)二(er)(er)(er)日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)四(si)(si)十(shi)(shi)八(ba)(ba)度(du)(du)(du)而留。不行(xing)(xing)(xing),十(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)而旋。逆,日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)六(liu)十(shi)(shi)二(er)(er)(er)分(fen)(fen)之十(shi)(shi)七(qi)(qi),六(liu)十(shi)(shi)二(er)(er)(er)日(ri)(ri)(ri)(ri)退十(shi)(shi)度(du)(du)(du)。复(fu)留十(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)。复(fu)顺(shun)(shun),疾,日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)十(shi)(shi)四(si)(si)分(fen)(fen),一(yi)(yi)(yi)(yi)(yi)(yi)百(bai)(bai)八(ba)(ba)十(shi)(shi)四(si)(si)日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)(yi)百(bai)(bai)一(yi)(yi)(yi)(yi)(yi)(yi)十(shi)(shi)二(er)(er)(er)度(du)(du)(du)。在(zai)日(ri)(ri)(ri)(ri)前(qian),夕(xi)伏西方,顺(shun)(shun),七(qi)(qi)十(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)、余五(wu)(wu)(wu)千(qian)(qian)五(wu)(wu)(wu)百(bai)(bai)八(ba)(ba)十(shi)(shi)四(si)(si),行(xing)(xing)(xing)星(xing)(xing)五(wu)(wu)(wu)十(shi)(shi)五(wu)(wu)(wu)度(du)(du)(du)、度(du)(du)(du)余四(si)(si)千(qian)(qian)八(ba)(ba)百(bai)(bai)四(si)(si)十(shi)(shi)五(wu)(wu)(wu)半,而与日(ri)(ri)(ri)(ri)合。凡一(yi)(yi)(yi)(yi)(yi)(yi)见六(liu)百(bai)(bai)三(san)(san)(san)十(shi)(shi)六(liu)日(ri)(ri)(ri)(ri),行(xing)(xing)(xing)星(xing)(xing)三(san)(san)(san)百(bai)(bai)三(san)(san)(san)度(du)(du)(du);在(zai)日(ri)(ri)(ri)(ri)前(qian)后(hou)伏一(yi)(yi)(yi)(yi)(yi)(yi)百(bai)(bai)四(si)(si)十(shi)(shi)三(san)(san)(san)日(ri)(ri)(ri)(ri)、余五(wu)(wu)(wu)千(qian)(qian)一(yi)(yi)(yi)(yi)(yi)(yi)百(bai)(bai)八(ba)(ba),行(xing)(xing)(xing)星(xing)(xing)一(yi)(yi)(yi)(yi)(yi)(yi)百(bai)(bai)一(yi)(yi)(yi)(yi)(yi)(yi)十(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)度(du)(du)(du)、余三(san)(san)(san)千(qian)(qian)六(liu)百(bai)(bai)四(si)(si)十(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi),过周四(si)(si)十(shi)(shi)九度(du)(du)(du)、度(du)(du)(du)余二(er)(er)(er)千(qian)(qian)一(yi)(yi)(yi)(yi)(yi)(yi)百(bai)(bai)五(wu)(wu)(wu)十(shi)(shi)四(si)(si),复(fu)终于晨见。
镇星:合终日数(shu)三(san)百(bai)七(qi)十(shi)八(ba)日、余三(san)百(bai)四(si)十(shi)一(yi),行(xing)星十(shi)二度、余四(si)千(qian)九(jiu)百(bai)二十(shi)四(si),周虚五千(qian)七(qi)百(bai)一(yi)十(shi)九(jiu)。
镇星(xing)(xing):晨与日(ri)(ri)(ri)(ri)(ri)(ri)合,在(zai)日(ri)(ri)(ri)(ri)(ri)(ri)后伏,十(shi)(shi)(shi)(shi)(shi)(shi)(shi)八日(ri)(ri)(ri)(ri)(ri)(ri)、日(ri)(ri)(ri)(ri)(ri)(ri)余一(yi)百七(qi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)半(ban),行星(xing)(xing)二(er)(er)(er)度(du)、余二(er)(er)(er)千四(si)百六(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er),去日(ri)(ri)(ri)(ri)(ri)(ri)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)五度(du)半(ban),晨见东方(fang)。顺,日(ri)(ri)(ri)(ri)(ri)(ri)行十(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)分(fen)之(zhi)一(yi),八十(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)日(ri)(ri)(ri)(ri)(ri)(ri)七(qi)度(du)而(er)留。不(bu)行,三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)而(er)旋。逆,日(ri)(ri)(ri)(ri)(ri)(ri)行十(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)分(fen)之(zhi)一(yi),一(yi)百二(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)退六(liu)度(du)。复留三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)。复顺,日(ri)(ri)(ri)(ri)(ri)(ri)行十(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)分(fen)之(zhi)一(yi),八十(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)日(ri)(ri)(ri)(ri)(ri)(ri)行七(qi)度(du),在(zai)日(ri)(ri)(ri)(ri)(ri)(ri)前,伏西方(fang)。顺,十(shi)(shi)(shi)(shi)(shi)(shi)(shi)八日(ri)(ri)(ri)(ri)(ri)(ri)、日(ri)(ri)(ri)(ri)(ri)(ri)余一(yi)百七(qi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)半(ban),行星(xing)(xing)二(er)(er)(er)度(du)、余二(er)(er)(er)千四(si)百六(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er),而(er)与日(ri)(ri)(ri)(ri)(ri)(ri)合。凡见三(san)百四(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri),行星(xing)(xing)八度(du);在(zai)日(ri)(ri)(ri)(ri)(ri)(ri)前后,伏三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)日(ri)(ri)(ri)(ri)(ri)(ri)、日(ri)(ri)(ri)(ri)(ri)(ri)余三(san)百四(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi),行星(xing)(xing)四(si)度(du)、度(du)余四(si)千九(jiu)百二(er)(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si),复终于晨见。
太白,金:再(zai)合终日(ri)(ri)数(shu)五(wu)(wu)百(bai)(bai)八十(shi)三日(ri)(ri)、日(ri)(ri)余五(wu)(wu)千(qian)一百(bai)(bai)五(wu)(wu)十(shi)一,周虚九百(bai)(bai)九,行星(xing)二百(bai)(bai)九十(shi)一度、亦曰一合日(ri)(ri)数(shu)。 度余五(wu)(wu)千(qian)六(liu)百(bai)(bai)五(wu)(wu)半。亦曰一合日(ri)(ri)余。
太白:晨与(yu)(yu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)合,在(zai)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)后(hou)(hou)伏,六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri),退四(si)(si)度(du)(du)(du)(du)(du)(du)(du),去日(ri)(ri)(ri)(ri)(ri)(ri)(ri)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)(du)(du)(du),晨见(jian)东(dong)方(fang)。逆(ni),日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)三(san)(san)(san)(san)(san)(san)分(fen)(fen)之二(er)(er),九(jiu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)退六(liu)(liu)度(du)(du)(du)(du)(du)(du)(du)。留(liu),不行(xing)(xing)(xing)(xing)(xing)(xing)八(ba)(ba)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)。顺(shun),迟,日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi),四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)三(san)(san)(san)(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)(san)(san)(san)(san)(san)度(du)(du)(du)(du)(du)(du)(du)。顺(shun),疾(ji)(ji),日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)、十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)(san)(san)(san)(san)(san)分(fen)(fen)之二(er)(er),九(jiu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)。大疾(ji)(ji),日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)、十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)(san)(san)(san)(san)(san)分(fen)(fen)之三(san)(san)(san)(san)(san)(san),九(jiu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)百(bai)(bai)(bai)(bai)(bai)一(yi)(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)度(du)(du)(du)(du)(du)(du)(du),在(zai)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)后(hou)(hou),晨伏东(dong)方(fang)。顺(shun),四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)、余(yu)(yu)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)千(qian)(qian)(qian)六(liu)(liu)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)半,行(xing)(xing)(xing)(xing)(xing)(xing)星五(wu)(wu)(wu)(wu)(wu)(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)、度(du)(du)(du)(du)(du)(du)(du)余(yu)(yu)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)千(qian)(qian)(qian)六(liu)(liu)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)半,而与(yu)(yu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)合。凡(fan)见(jian)东(dong)方(fang)二(er)(er)百(bai)(bai)(bai)(bai)(bai)四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)(si)日(ri)(ri)(ri)(ri)(ri)(ri)(ri),行(xing)(xing)(xing)(xing)(xing)(xing)星二(er)(er)百(bai)(bai)(bai)(bai)(bai)四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)(du)(du)(du),在(zai)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)后(hou)(hou)伏,四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)、余(yu)(yu)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)千(qian)(qian)(qian)六(liu)(liu)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)半,行(xing)(xing)(xing)(xing)(xing)(xing)星五(wu)(wu)(wu)(wu)(wu)(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)、余(yu)(yu)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)千(qian)(qian)(qian)六(liu)(liu)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)半,而与(yu)(yu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)合。见(jian)西方(fang)亦(yi)如(ru)之。 夕(xi)与(yu)(yu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)合,在(zai)前(qian),伏四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)、余(yu)(yu)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)千(qian)(qian)(qian)六(liu)(liu)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)半,行(xing)(xing)(xing)(xing)(xing)(xing)星五(wu)(wu)(wu)(wu)(wu)(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)、余(yu)(yu)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)千(qian)(qian)(qian)六(liu)(liu)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)半,去日(ri)(ri)(ri)(ri)(ri)(ri)(ri)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)(du)(du)(du),夕(xi)见(jian)西方(fang)。顺(shun),疾(ji)(ji),日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)、十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)(san)(san)(san)(san)(san)分(fen)(fen)之三(san)(san)(san)(san)(san)(san),九(jiu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)百(bai)(bai)(bai)(bai)(bai)一(yi)(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)二(er)(er)度(du)(du)(du)(du)(du)(du)(du)。顺(shun),迟,日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)度(du)(du)(du)(du)(du)(du)(du)、十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)(san)(san)(san)(san)(san)分(fen)(fen)之二(er)(er),九(jiu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)一(yi)(yi)(yi)(yi)(yi)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)度(du)(du)(du)(du)(du)(du)(du)。顺(shun),迟,日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)分(fen)(fen)之十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi),四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)三(san)(san)(san)(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)(san)(san)(san)(san)(san)度(du)(du)(du)(du)(du)(du)(du)而留(liu)。不行(xing)(xing)(xing)(xing)(xing)(xing),八(ba)(ba)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)而旋。逆(ni),日(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)(xing)(xing)三(san)(san)(san)(san)(san)(san)分(fen)(fen)之二(er)(er),九(jiu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)退六(liu)(liu)度(du)(du)(du)(du)(du)(du)(du),在(zai)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)前(qian),夕(xi)伏西方(fang)。六(liu)(liu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)退四(si)(si)度(du)(du)(du)(du)(du)(du)(du),而与(yu)(yu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)合。凡(fan)再(zai)见(jian)四(si)(si)百(bai)(bai)(bai)(bai)(bai)八(ba)(ba)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri),行(xing)(xing)(xing)(xing)(xing)(xing)星四(si)(si)百(bai)(bai)(bai)(bai)(bai)八(ba)(ba)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)(du)(du)(du);在(zai)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)前(qian)后(hou)(hou),伏八(ba)(ba)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)(san)(san)(san)(san)(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)、余(yu)(yu)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)千(qian)(qian)(qian)一(yi)(yi)(yi)(yi)(yi)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi),行(xing)(xing)(xing)(xing)(xing)(xing)星一(yi)(yi)(yi)(yi)(yi)百(bai)(bai)(bai)(bai)(bai)三(san)(san)(san)(san)(san)(san)度(du)(du)(du)(du)(du)(du)(du)、度(du)(du)(du)(du)(du)(du)(du)余(yu)(yu)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)千(qian)(qian)(qian)一(yi)(yi)(yi)(yi)(yi)百(bai)(bai)(bai)(bai)(bai)五(wu)(wu)(wu)(wu)(wu)(wu)(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi),过周二(er)(er)百(bai)(bai)(bai)(bai)(bai)一(yi)(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)八(ba)(ba)度(du)(du)(du)(du)(du)(du)(du)、度(du)(du)(du)(du)(du)(du)(du)余(yu)(yu)三(san)(san)(san)(san)(san)(san)千(qian)(qian)(qian)六(liu)(liu)百(bai)(bai)(bai)(bai)(bai)七十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四(si)(si),复终于晨见(jian)。
水星:辰(chen)星再合(he)终(zhong)日数一百一十五、余(yu)五千二(er)百八十二(er),行星五十七(qi)(qi)度、亦(yi)(yi)日一合(he)日数。 余(yu)五千六百七(qi)(qi)十一,亦(yi)(yi)曰一合(he)日余(yu)。 周虚七(qi)(qi)百七(qi)(qi)十八。
辰(chen)星(xing)(xing):与日(ri)(ri)(ri)(ri)合,在(zai)日(ri)(ri)(ri)(ri)后,伏十(shi)(shi)(shi)(shi)一(yi)日(ri)(ri)(ri)(ri),退六度,去日(ri)(ri)(ri)(ri)十(shi)(shi)(shi)(shi)七(qi)(qi)度,晨(chen)见东(dong)方而(er)(er)留。不行(xing)(xing)(xing),四(si)日(ri)(ri)(ri)(ri)。顺(shun)(shun),迟,日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)七(qi)(qi)分(fen)之五,七(qi)(qi)日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)五度。顺(shun)(shun),疾(ji),日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)一(yi)度、三(san)分(fen)之一(yi),十(shi)(shi)(shi)(shi)八(ba)日(ri)(ri)(ri)(ri)行(xing)(xing)(xing)二十(shi)(shi)(shi)(shi)四(si)度,在(zai)日(ri)(ri)(ri)(ri)后,晨(chen)伏东(dong)方。顺(shun)(shun),十(shi)(shi)(shi)(shi)七(qi)(qi)日(ri)(ri)(ri)(ri)、余(yu)五千六百七(qi)(qi)十(shi)(shi)(shi)(shi)一(yi),行(xing)(xing)(xing)星(xing)(xing)四(si)十(shi)(shi)(shi)(shi)四(si)度、余(yu)五千六百六十(shi)(shi)(shi)(shi)一(yi),而(er)(er)与日(ri)(ri)(ri)(ri)合。凡见东(dong)方二十(shi)(shi)(shi)(shi)九日(ri)(ri)(ri)(ri),行(xing)(xing)(xing)星(xing)(xing)二十(shi)(shi)(shi)(shi)二度,在(zai)日(ri)(ri)(ri)(ri)后,伏二十(shi)(shi)(shi)(shi)八(ba)日(ri)(ri)(ri)(ri)、余(yu)五千六百七(qi)(qi)十(shi)(shi)(shi)(shi)一(yi),行(xing)(xing)(xing)星(xing)(xing)三(san)十(shi)(shi)(shi)(shi)四(si)度、余(yu)五千六百七(qi)(qi)十(shi)(shi)(shi)(shi)一(yi),而(er)(er)与日(ri)(ri)(ri)(ri)合。见西方亦然。
辰星:夕(xi)(xi)与日(ri)合(he),在(zai)日(ri)前,伏十(shi)七(qi)(qi)(qi)日(ri)、余(yu)五(wu)(wu)(wu)(wu)千六(liu)(liu)百(bai)(bai)七(qi)(qi)(qi)十(shi)一(yi)(yi)(yi),行星三(san)十(shi)四度(du)、余(yu)五(wu)(wu)(wu)(wu)千六(liu)(liu)百(bai)(bai)七(qi)(qi)(qi)十(shi)一(yi)(yi)(yi),去日(ri)十(shi)七(qi)(qi)(qi)度(du),夕(xi)(xi)见西(xi)方。顺,疾,日(ri)行一(yi)(yi)(yi)度(du)、三(san)分之一(yi)(yi)(yi),十(shi)八日(ri)行二十(shi)四度(du)。顺,迟,日(ri)行七(qi)(qi)(qi)分之五(wu)(wu)(wu)(wu),七(qi)(qi)(qi)日(ri)行五(wu)(wu)(wu)(wu)度(du),而(er)(er)留(liu)四日(ri),在(zai)日(ri)前,夕(xi)(xi)伏西(xi)方。逆,十(shi)一(yi)(yi)(yi)日(ri)退六(liu)(liu)度(du),而(er)(er)晨(chen)与日(ri)合(he)。凡再见五(wu)(wu)(wu)(wu)十(shi)八日(ri),行星四十(shi)六(liu)(liu)度(du);在(zai)日(ri)前后,伏五(wu)(wu)(wu)(wu)十(shi)七(qi)(qi)(qi)日(ri)、余(yu)五(wu)(wu)(wu)(wu)千二百(bai)(bai)八十(shi)二,行星六(liu)(liu)十(shi)九度(du)、余(yu)五(wu)(wu)(wu)(wu)千二百(bai)(bai)八十(shi)二,复终于(yu)晨(chen)见。
斗一至牛五(wu),星纪,丑。 牛五(wu)至危(wei)五(wu),玄(xuan)枵(xiao),子(zi)。
危(wei)五至(zhi)壁三(san),陬(zou)訾,亥。 壁三(san)至(zhi)娄八,降(jiang)娄,戌。
娄八至毕二,大梁,酉。 毕二至井(jing)五,实(shi)沈,申。
井(jing)五至鬼(gui)三,鹑首,未。 鬼(gui)三至张七,鹑火,午。
张七至(zhi)(zhi)轸一,鹑尾,巳。 轸一至(zhi)(zhi)亢三,寿星,辰。
亢(kang)三至心(xin)四,大火,卯。 心(xin)四至斗(dou)一,析木,寅(yin)。
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