志第十五 历一
历法尚矣。自尧命羲、和，历象日月星辰，以闰月定四时成岁，其事略见于《书》。而夏、商、周以三统改正朔，为历固已不同，而其法不传。至汉造历，始以八十一分为统母，其数起于黄钟之龠，盖其法一本于律矣。其后刘歆又以《春秋》、《易象》推合其数，盖傅会之说也。至唐一行始专用大衍之策，则历术又本于《易》矣。盖历起于数，数者，自然之用也。其用无穷而无所不通，以之于律、于《易》，皆可以合也。然其要在于候天地之气，以知四时寒暑，而仰察天日月星之行运，以相参合而已。然四时寒暑无形而运于下，天日月星有象而见于上，二者常动而不息。一有一无，出入升降，或迟或疾，不相为谋。其久而不能无差忒者，势使之然也。故为历者，其始未尝不精密，而其后多疏而不合，亦理之然也。不合，则屡变其法以求之。自尧、舜、三代以来，历未尝同也。
唐终始二百九十余年，而历(li)(li)(li)八改。初曰《戊寅元历(li)(li)(li)》，曰《麟德甲子元历(li)(li)(li)》，曰《开元大衍历(li)(li)(li)》，曰《宝应(ying)五纪(ji)历(li)(li)(li)》，曰《建中正元历(li)(li)(li)》，曰《元和观象历(li)(li)(li)》，曰《长(zhang)庆(qing)宣明(ming)历(li)(li)(li)》，曰《景福(fu)崇玄(xuan)历(li)(li)(li)》而止(zhi)矣。
高(gao)祖受禅(shan)，将(jiang)治(zhi)新历，东都道士傅仁均善推步之(zhi)学(xue)，太史令庾俭、丞傅弈荐(jian)之(zhi)。诏(zhao)仁均与(yu)俭等(deng)参(can)议(yi)，合(he)受命岁(sui)(sui)名为(wei)《戊寅(yin)(yin)元(yuan)历》。乃列其大(da)要，所可考验者有七，曰：“唐以戊寅(yin)(yin)岁(sui)(sui)甲子(zi)日(ri)登极，历元(yuan)戊寅(yin)(yin)，日(ri)起(qi)(qi)甲子(zi)，如汉(han)《太初》，一也。冬至(zhi)五十余(yu)年辄差一度(du)(du)，日(ri)短星昴，合(he)于《尧典》，二(er)也。周幽王六年十月(yue)辛(xin)卯朔，入蚀(shi)限，合(he)于《诗》，三(san)也。鲁僖公五年壬(ren)子(zi)冬至(zhi)，合(he)《春秋命历序》，四也。月(yue)有三(san)大(da)、三(san)小，则日(ri)蚀(shi)常在朔，月(yue)蚀(shi)常在望，五也。命辰起(qi)(qi)子(zi)半，命度(du)(du)起(qi)(qi)虚六，符阴阳之(zhi)始，六也。立迟疾定(ding)朔，则月(yue)行晦不(bu)东见，朔不(bu)西朓，七也。”高(gao)祖诏(zhao)司历起(qi)(qi)二(er)年用(yong)之(zhi)，擢仁均员外散(san)骑侍郎(lang)。
三(san)年正(zheng)月(yue)(yue)望及二月(yue)(yue)、八(ba)月(yue)(yue)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)，当(dang)蚀，比(bi)不(bu)(bu)(bu)效。六年，诏吏部郎中(zhong)(zhong)祖孝(xiao)孙考其(qi)得失。孝(xiao)孙使算历博士王孝(xiao)通以(yi)《甲(jia)辰历》法(fa)诘(jie)之(zhi)曰：“‘日(ri)(ri)(ri)短星(xing)昴(mao)，以(yi)正(zheng)仲(zhong)冬。’七(qi)宿(su)毕(bi)见，举(ju)中(zhong)(zhong)宿(su)言耳。举(ju)中(zhong)(zhong)宿(su)，则(ze)余星(xing)可(ke)(ke)知。仁(ren)均专(zhuan)守昴(mao)中(zhong)(zhong)，执文害(hai)意，不(bu)(bu)(bu)亦谬(miu)乎(hu)？又(you)《月(yue)(yue)令》仲(zhong)冬‘昏东壁中(zhong)(zhong)’，明(ming)昴(mao)中(zhong)(zhong)非为(wei)常(chang)准。若(ruo)尧时(shi)星(xing)昴(mao)昏中(zhong)(zhong)，差(cha)(cha)至(zhi)(zhi)东壁，然则(ze)尧前七(qi)千余岁，冬至(zhi)(zhi)昏翼中(zhong)(zhong)，日(ri)(ri)(ri)应在东井(jing)(jing)。井(jing)(jing)极北，去人最近，故暑；斗极南(nan)，去人最远，故寒(han)。寒(han)暑易位，必(bi)不(bu)(bu)(bu)然矣(yi)。又(you)平朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)、定(ding)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)，旧(jiu)(jiu)有(you)(you)(you)二家。三(san)大、三(san)小，为(wei)定(ding)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)望；一(yi)大、一(yi)小，为(wei)平朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)望。日(ri)(ri)(ri)月(yue)(yue)行有(you)(you)(you)迟速，相(xiang)及谓之(zhi)合(he)(he)(he)(he)会。晦、朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)无定(ding)，由(you)时(shi)消息。若(ruo)定(ding)大小皆在朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)者(zhe)，合(he)(he)(he)(he)会虽定(ding)，而(er)(er)蔀(bu)、元、纪(ji)首三(san)端(duan)并失。若(ruo)上合(he)(he)(he)(he)履端(duan)之(zhi)始(shi)，下得归馀于终，合(he)(he)(he)(he)会有(you)(you)(you)时(shi)，则(ze)《甲(jia)辰元历》为(wei)通术矣(yi)。”仁(ren)均对曰：“宋(song)(song)祖冲之(zhi)立岁差(cha)(cha)，隋张胄玄等因(yin)而(er)(er)修(xiu)之(zhi)。虽差(cha)(cha)数不(bu)(bu)(bu)同，各(ge)明(ming)其(qi)意。孝(xiao)通未晓，乃热南(nan)斗为(wei)冬至(zhi)(zhi)常(chang)星(xing)。夫日(ri)(ri)(ri)躔宿(su)度，如(ru)(ru)垂阝传(chuan)之(zhi)过，宿(su)度既(ji)差(cha)(cha)，黄道随而(er)(er)变矣(yi)。《书》云(yun)(yun)(yun)：‘季秋月(yue)(yue)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)，辰弗集(ji)于房。’孔氏云(yun)(yun)(yun)：‘集(ji)，合(he)(he)(he)(he)也(ye)。不(bu)(bu)(bu)合(he)(he)(he)(he)则(ze)日(ri)(ri)(ri)蚀可(ke)(ke)知。’又(you)云(yun)(yun)(yun)：‘先(xian)时(shi)者(zhe)杀无赦，不(bu)(bu)(bu)及时(shi)者(zhe)杀无赦。’既(ji)有(you)(you)(you)先(xian)后(hou)之(zhi)差(cha)(cha)，是知定(ding)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)矣(yi)。《诗(shi)》云(yun)(yun)(yun)：‘十月(yue)(yue)之(zhi)交，朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)月(yue)(yue)辛卯(mao)。’又(you)《春秋传(chuan)》曰：‘不(bu)(bu)(bu)书朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)，官失之(zhi)也(ye)。’自(zi)(zi)后(hou)历差(cha)(cha)，莫能(neng)详正(zheng)。故秦、汉以(yi)来，多(duo)非朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)蚀。宋(song)(song)御(yu)史中(zhong)(zhong)丞何承天微欲见意，不(bu)(bu)(bu)能(neng)详究，乃为(wei)散骑侍郎皮延(yan)宗等所抑。孝(xiao)通之(zhi)语，乃延(yan)宗旧(jiu)(jiu)说(shuo)。治历之(zhi)本，必(bi)推上元，日(ri)(ri)(ri)月(yue)(yue)如(ru)(ru)合(he)(he)(he)(he)璧，五星(xing)如(ru)(ru)连珠，夜半甲(jia)子朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)旦冬至(zhi)(zhi)。自(zi)(zi)此七(qi)曜散行，不(bu)(bu)(bu)复余分(fen)普尽，总会如(ru)(ru)初(chu)。唯朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)分(fen)、气分(fen)，有(you)(you)(you)可(ke)(ke)尽之(zhi)理，因(yin)其(qi)可(ke)(ke)尽，即(ji)有(you)(you)(you)三(san)端(duan)。此乃纪(ji)其(qi)日(ri)(ri)(ri)数之(zhi)元尔。或以(yi)为(wei)即(ji)夜半甲(jia)子朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)冬至(zhi)(zhi)者(zhe)，非也(ye)。冬至(zhi)(zhi)自(zi)(zi)有(you)(you)(you)常(chang)数，朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)名由(you)于月(yue)(yue)起，月(yue)(yue)行迟疾匪(fei)常(chang)，三(san)端(duan)安得即(ji)合(he)(he)(he)(he)。故必(bi)须日(ri)(ri)(ri)月(yue)(yue)相(xiang)合(he)(he)(he)(he)与至(zhi)(zhi)同日(ri)(ri)(ri)者(zhe)，乃为(wei)合(he)(he)(he)(he)朔(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)(shuo)冬至(zhi)(zhi)耳。”孝(xiao)孙以(yi)为(wei)然，但略去尤疏阔者(zhe)。
九(jiu)年，复(fu)诏大理卿崔善(shan)为(wei)与孝通等较定，善(shan)为(wei)所改(gai)凡数(shu)十条。初，仁均以武德元年为(wei)历始(shi)，而气、朔、迟疾、交(jiao)会(hui)及五星皆(jie)有加减。至是(shi)复(fu)用上元积算。其(qi)周天度(du)，即(ji)古赤道(dao)也。
贞观初，直太史李(li)淳(chun)风(feng)(feng)又(you)(you)(you)上(shang)疏论十有八事，复诏(zhao)(zhao)善为课(ke)二家得失，其(qi)七条改从(cong)(cong)淳(chun)风(feng)(feng)。十四年，太宗将亲祀(si)南郊，以(yi)(yi)十一月(yue)癸(gui)(gui)亥朔(shuo)，甲(jia)子(zi)(zi)冬(dong)至(zhi)。而(er)淳(chun)风(feng)(feng)新术，以(yi)(yi)甲(jia)子(zi)(zi)合(he)朔(shuo)冬(dong)至(zhi)，乃上(shang)言(yan)：“古(gu)历分日(ri)(ri)(ri)，起于子(zi)(zi)半。十一月(yue)当甲(jia)子(zi)(zi)合(he)朔(shuo)冬(dong)至(zhi)，故(gu)太史令傅(fu)仁均以(yi)(yi)减余(yu)稍多，子(zi)(zi)初为朔(shuo)，遂差三(san)刻。”司历南宫子(zi)(zi)明、太史令薛颐等(deng)言(yan)：“子(zi)(zi)初及(ji)半，日(ri)(ri)(ri)月(yue)未(wei)离。淳(chun)风(feng)(feng)之(zhi)法(fa)，较春(chun)秋已来晷度薄蚀(shi)(shi)，事皆(jie)符合(he)。”国(guo)子(zi)(zi)祭酒孔颖达等(deng)及(ji)尚(shang)书八座参议，请从(cong)(cong)淳(chun)风(feng)(feng)。又(you)(you)(you)以(yi)(yi)平(ping)朔(shuo)推之(zhi)，则二历皆(jie)以(yi)(yi)朔(shuo)日(ri)(ri)(ri)冬(dong)至(zhi)，于事弥(mi)合(he)。且平(ping)朔(shuo)行之(zhi)自古(gu)，故(gu)《春(chun)秋传》或失之(zhi)前，谓晦日(ri)(ri)(ri)也。虽癸(gui)(gui)亥日(ri)(ri)(ri)月(yue)相及(ji)，明日(ri)(ri)(ri)甲(jia)子(zi)(zi)，为朔(shuo)可也。从(cong)(cong)之(zhi)。十八年，淳(chun)风(feng)(feng)又(you)(you)(you)上(shang)言(yan)：“仁均历有三(san)大(da)(da)、三(san)小，云日(ri)(ri)(ri)月(yue)之(zhi)蚀(shi)(shi)，必在朔(shuo)望(wang)。十九年九月(yue)后，四朔(shuo)频大(da)(da)。”诏(zhao)(zhao)集诸解历者详(xiang)之(zhi)，不(bu)能定(ding)。庚子(zi)(zi)，诏(zhao)(zhao)用仁均平(ping)朔(shuo)，讫麟(lin)德元年。
仁均(jun)历(li)法(fa)祖述胄玄，稍以刘孝孙旧议参之(zhi)，其大(da)最疏于淳(chun)风。然更相出入(ru)，其有所中，淳(chun)风亦(yi)不能(neng)逾(yu)之(zhi)。今所记者，善为所较也。
《戊(wu)寅(yin)历》上元戊(wu)寅(yin)岁(sui)至武德(de)九(jiu)年丙戌，积十六万四(si)千三(san)百四(si)十八算外。
章岁六百(bai)七十(shi)六。亦名行分法。章闰二百(bai)四十(shi)九。章月(yue)八千三(san)百(bai)六十(shi)一。
月(yue)法三(san)(san)(san)十(shi)八万四(si)千(qian)七(qi)十(shi)五。日法万三(san)(san)(san)千(qian)六(liu)。时法六(liu)千(qian)五百三(san)(san)(san)度(du)法、气(qi)法九千(qian)四(si)百六(liu)十(shi)四(si)气(qi)时法千(qian)一百八十(shi)三(san)(san)(san)。
岁分三百(bai)四十(shi)(shi)五(wu)(wu)万(wan)六(liu)千六(liu)百(bai)七(qi)十(shi)(shi)五(wu)(wu)。岁余二千三百(bai)一十(shi)(shi)五(wu)(wu)。周分三百(bai)四十(shi)(shi)五(wu)(wu)万(wan)六(liu)千八百(bai)四十(shi)(shi)五(wu)(wu)半。斗分一千四百(bai)八十(shi)(shi)五(wu)(wu)半。没分七(qi)万(wan)六(liu)千八百(bai)一十(shi)(shi)五(wu)(wu)。没法千一百(bai)三。
历(li)(li)日(ri)二(er)十七，历(li)(li)余(yu)万(wan)六(liu)千六(liu)十四(si)(si)。历(li)(li)周七十九(jiu)(jiu)万(wan)八千二(er)百。历(li)(li)法二(er)万(wan)八千九(jiu)(jiu)百六(liu)十八。余(yu)数四(si)(si)万(wan)九(jiu)(jiu)千六(liu)百三十五。
章月(yue)乘(cheng)年，如章岁(sui)得一(yi)，为积(ji)月(yue)。以月(yue)法(fa)乘(cheng)积(ji)月(yue)，如日(ri)法(fa)得一(yi)，为朔积(ji)日(ri)；余(yu)为小余(yu)。
日满(man)六(liu)十(shi)，去之(zhi)(zhi)；余(yu)(yu)为(wei)(wei)大(da)(da)(da)余(yu)(yu)。命(ming)(ming)甲子算(suan)外(wai)，得天正平(ping)朔。加(jia)(jia)大(da)(da)(da)余(yu)(yu)二十(shi)九(jiu)、小(xiao)(xiao)(xiao)余(yu)(yu)六(liu)千(qian)九(jiu)百(bai)一，得次朔。加(jia)(jia)平(ping)朔大(da)(da)(da)余(yu)(yu)七(qi)(qi)、小(xiao)(xiao)(xiao)余(yu)(yu)四(si)千(qian)九(jiu)百(bai)七(qi)(qi)十(shi)六(liu)、小(xiao)(xiao)(xiao)分(fen)(fen)四(si)之(zhi)(zhi)三(san)，为(wei)(wei)上弦。又加(jia)(jia)，得望。又加(jia)(jia)，得下(xia)弦。余(yu)(yu)数乘(cheng)年，如气(qi)法(fa)(fa)得一，为(wei)(wei)气(qi)积日。命(ming)(ming)日如前，得冬(dong)(dong)至(zhi)。加(jia)(jia)大(da)(da)(da)余(yu)(yu)十(shi)五、小(xiao)(xiao)(xiao)余(yu)(yu)二千(qian)六(liu)十(shi)八(ba)、小(xiao)(xiao)(xiao)分(fen)(fen)八(ba)之(zhi)(zhi)一，得次气(qi)日。加(jia)(jia)四(si)季之(zhi)(zhi)节(jie)大(da)(da)(da)余(yu)(yu)十(shi)二、小(xiao)(xiao)(xiao)余(yu)(yu)千(qian)六(liu)百(bai)五十(shi)四(si)、小(xiao)(xiao)(xiao)分(fen)(fen)四(si)，得土王(wang)。凡节(jie)气(qi)小(xiao)(xiao)(xiao)余(yu)(yu)，三(san)之(zhi)(zhi)，以气(qi)时(shi)法(fa)(fa)而一，命(ming)(ming)子半(ban)算(suan)外(wai)，各其(qi)加(jia)(jia)时(shi)。置冬(dong)(dong)至(zhi)小(xiao)(xiao)(xiao)余(yu)(yu)，八(ba)之(zhi)(zhi)，减没分(fen)(fen)，余(yu)(yu)满(man)没法(fa)(fa)为(wei)(wei)日。加(jia)(jia)冬(dong)(dong)至(zhi)去朔日算(suan)，依月大(da)(da)(da)小(xiao)(xiao)(xiao)去之(zhi)(zhi)，日不满(man)月算(suan)，得没日。余(yu)(yu)分(fen)(fen)尽为(wei)(wei)减。加(jia)(jia)日六(liu)十(shi)九(jiu)、余(yu)(yu)七(qi)(qi)百(bai)八(ba)，得次没。
以平(ping)朔(shuo)、弦、望入(ru)气日(ri)(ri)(ri)(ri)(ri)(ri)算乘损(sun)益(yi)率，如(ru)(ru)十(shi)五(wu)(wu)得(de)(de)(de)一(yi)，以损(sun)益(yi)盈缩(suo)数，为定盈缩(suo)分。凡不(bu)尽(jin)半(ban)法(fa)已(yi)上亦从(cong)一(yi)。以历(li)(li)法(fa)乘朔(shuo)积日(ri)(ri)(ri)(ri)(ri)(ri)，满历(li)(li)周去(qu)之(zhi)；余如(ru)(ru)历(li)(li)法(fa)得(de)(de)(de)一(yi)，为日(ri)(ri)(ri)(ri)(ri)(ri)。命日(ri)(ri)(ri)(ri)(ri)(ri)算外，得(de)(de)(de)天正平(ping)朔(shuo)夜半(ban)入(ru)历(li)(li)日(ri)(ri)(ri)(ri)(ri)(ri)及余。次日(ri)(ri)(ri)(ri)(ri)(ri)加(jia)(jia)一(yi)，累而(er)裁之(zhi)。若以万(wan)四千(qian)四百八十(shi)四乘平(ping)朔(shuo)小余，如(ru)(ru)六(liu)千(qian)五(wu)(wu)百三而(er)一(yi)，不(bu)尽(jin)，为小分，以加(jia)(jia)夜半(ban)入(ru)历(li)(li)日(ri)(ri)(ri)(ri)(ri)(ri)。加(jia)(jia)之(zhi)满历(li)(li)日(ri)(ri)(ri)(ri)(ri)(ri)及余，去(qu)之(zhi)，得(de)(de)(de)平(ping)朔(shuo)加(jia)(jia)时所入(ru)，加(jia)(jia)历(li)(li)日(ri)(ri)(ri)(ri)(ri)(ri)七、余万(wan)一(yi)千(qian)八十(shi)四、小分三千(qian)九(jiu)百九(jiu)十(shi)五(wu)(wu)，命如(ru)(ru)前，得(de)(de)(de)上弦。又加(jia)(jia)，得(de)(de)(de)望、下弦及后朔(shuo)。
历(li)(li)行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)与次(ci)(ci)(ci)日(ri)(ri)相减(jian)(jian)，为(wei)(wei)(wei)行(xing)差，后(hou)多为(wei)(wei)(wei)进，后(hou)少为(wei)(wei)(wei)退。减(jian)(jian)去(qu)行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)六百(bai)(bai)七(qi)(qi)十(shi)(shi)六，为(wei)(wei)(wei)差法(fa)(fa)(fa)(fa)(fa)。各置平(ping)朔(shuo)(shuo)(shuo)(shuo)、弦(xian)、望(wang)加(jia)(jia)(jia)(jia)时(shi)入(ru)历(li)(li)日(ri)(ri)余(yu)(yu)(yu)，乘(cheng)所入(ru)日(ri)(ri)损(sun)益率，以(yi)损(sun)益其下积(ji)(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)，差法(fa)(fa)(fa)(fa)(fa)除，为(wei)(wei)(wei)定(ding)(ding)(ding)(ding)盈(ying)缩(suo)积(ji)(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)。置平(ping)朔(shuo)(shuo)(shuo)(shuo)、弦(xian)、望(wang)小(xiao)余(yu)(yu)(yu)，各以(yi)入(ru)气(qi)积(ji)(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)盈(ying)加(jia)(jia)(jia)(jia)、缩(suo)减(jian)(jian)之，以(yi)入(ru)历(li)(li)积(ji)(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)盈(ying)减(jian)(jian)、缩(suo)加(jia)(jia)(jia)(jia)之，满(man)若不足、进退日(ri)(ri)法(fa)(fa)(fa)(fa)(fa)，皆为(wei)(wei)(wei)定(ding)(ding)(ding)(ding)大小(xiao)余(yu)(yu)(yu)，命日(ri)(ri)甲子算外。以(yi)岁分(fen)(fen)(fen)(fen)(fen)(fen)(fen)乘(cheng)年为(wei)(wei)(wei)积(ji)(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)，满(man)周分(fen)(fen)(fen)(fen)(fen)(fen)(fen)去(qu)之；余(yu)(yu)(yu)如度(du)法(fa)(fa)(fa)(fa)(fa)得一(yi)(yi)(yi)，为(wei)(wei)(wei)度(du)。命以(yi)虚六，经斗去(qu)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)，得冬至(zhi)日(ri)(ri)度(du)及(ji)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)。以(yi)冬至(zhi)去(qu)朔(shuo)(shuo)(shuo)(shuo)日(ri)(ri)算及(ji)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)减(jian)(jian)之，得天正平(ping)朔(shuo)(shuo)(shuo)(shuo)前夜(ye)半日(ri)(ri)度(du)及(ji)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)。以(yi)小(xiao)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)法(fa)(fa)(fa)(fa)(fa)十(shi)(shi)四(si)约度(du)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)为(wei)(wei)(wei)行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)。凡小(xiao)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)满(man)法(fa)(fa)(fa)(fa)(fa)成行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)，行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)满(man)法(fa)(fa)(fa)(fa)(fa)成度(du)。若注历(li)(li)，又以(yi)二(er)(er)十(shi)(shi)六约行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)。月星准(zhun)此。斗分(fen)(fen)(fen)(fen)(fen)(fen)(fen)百(bai)(bai)七(qi)(qi)十(shi)(shi)七(qi)(qi)，小(xiao)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)七(qi)(qi)半。累加(jia)(jia)(jia)(jia)一(yi)(yi)(yi)度(du)，得次(ci)(ci)(ci)日(ri)(ri)。以(yi)行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)法(fa)(fa)(fa)(fa)(fa)乘(cheng)朔(shuo)(shuo)(shuo)(shuo)、望(wang)定(ding)(ding)(ding)(ding)小(xiao)余(yu)(yu)(yu)，以(yi)九百(bai)(bai)二(er)(er)十(shi)(shi)九除为(wei)(wei)(wei)度(du)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)，又以(yi)十(shi)(shi)四(si)约为(wei)(wei)(wei)行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)。以(yi)加(jia)(jia)(jia)(jia)夜(ye)半度(du)，为(wei)(wei)(wei)朔(shuo)(shuo)(shuo)(shuo)、望(wang)加(jia)(jia)(jia)(jia)时(shi)日(ri)(ri)度(du)。定(ding)(ding)(ding)(ding)朔(shuo)(shuo)(shuo)(shuo)加(jia)(jia)(jia)(jia)时(shi)，日(ri)(ri)月同度(du)。望(wang)则(ze)因加(jia)(jia)(jia)(jia)日(ri)(ri)度(du)百(bai)(bai)八(ba)十(shi)(shi)二(er)(er)、行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)四(si)百(bai)(bai)二(er)(er)十(shi)(shi)六、小(xiao)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)十(shi)(shi)太。以(yi)夜(ye)半入(ru)历(li)(li)日(ri)(ri)余(yu)(yu)(yu)乘(cheng)行(xing)差，满(man)历(li)(li)法(fa)(fa)(fa)(fa)(fa)得一(yi)(yi)(yi)，以(yi)进加(jia)(jia)(jia)(jia)、退减(jian)(jian)历(li)(li)行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)，为(wei)(wei)(wei)行(xing)定(ding)(ding)(ding)(ding)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)。以(yi)朔(shuo)(shuo)(shuo)(shuo)定(ding)(ding)(ding)(ding)小(xiao)余(yu)(yu)(yu)乘(cheng)之，满(man)日(ri)(ri)法(fa)(fa)(fa)(fa)(fa)得一(yi)(yi)(yi)，为(wei)(wei)(wei)行(xing)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)。以(yi)减(jian)(jian)加(jia)(jia)(jia)(jia)时(shi)月度(du)，为(wei)(wei)(wei)朔(shuo)(shuo)(shuo)(shuo)、望(wang)夜(ye)半月度(du)。求次(ci)(ci)(ci)日(ri)(ri)，加(jia)(jia)(jia)(jia)月行(xing)定(ding)(ding)(ding)(ding)分(fen)(fen)(fen)(fen)(fen)(fen)(fen)，累之。
○岁星
率三百七十七万五千二(er)十三。
终日三百九(jiu)十八(ba)，行分(fen)五百九(jiu)十六(liu)，小分(fen)七。
平(ping)见，入(ru)(ru)冬至初(chu)日，减行分五(wu)千(qian)四百(bai)一十一。自后日损所减百(bai)二十分。立春(chun)初(chu)，日增所加(jia)(jia)(jia)六(liu)(liu)十分。春(chun)分，均加(jia)(jia)(jia)四日。清明毕谷雨，均加(jia)(jia)(jia)五(wu)日。立夏(xia)毕大暑，均加(jia)(jia)(jia)六(liu)(liu)日。立秋初(chu)日，加(jia)(jia)(jia)四千(qian)八(ba)(ba)十分。乃日损所加(jia)(jia)(jia)六(liu)(liu)十七分。入(ru)(ru)寒露，日增所减百(bai)一十七分。入(ru)(ru)小(xiao)雪(xue)，毕大雪(xue)，均减八(ba)(ba)日。
初见，顺(shun)，日(ri)(ri)行(xing)百七十(shi)(shi)(shi)一(yi)(yi)分(fen)(fen)(fen)(fen)，日(ri)(ri)益(yi)迟(chi)一(yi)(yi)分(fen)(fen)(fen)(fen)，百一(yi)(yi)十(shi)(shi)(shi)四(si)日(ri)(ri)行(xing)十(shi)(shi)(shi)九(jiu)度二(er)百九(jiu)分(fen)(fen)(fen)(fen)。而留，二(er)十(shi)(shi)(shi)六日(ri)(ri)。乃退(tui)，日(ri)(ri)九(jiu)十(shi)(shi)(shi)七分(fen)(fen)(fen)(fen)，八十(shi)(shi)(shi)四(si)日(ri)(ri)退(tui)十(shi)(shi)(shi)二(er)度三十(shi)(shi)(shi)六分(fen)(fen)(fen)(fen)。又留，二(er)十(shi)(shi)(shi)五(wu)(wu)日(ri)(ri)五(wu)(wu)百九(jiu)十(shi)(shi)(shi)六分(fen)(fen)(fen)(fen)，小分(fen)(fen)(fen)(fen)七。凡五(wu)(wu)星(xing)留日(ri)(ri)有分(fen)(fen)(fen)(fen)者(zhe)，以初定见日(ri)(ri)分(fen)(fen)(fen)(fen)加之(zhi)(zhi)。若满行(xing)分(fen)(fen)(fen)(fen)法(fa)，去(qu)之(zhi)(zhi)，又增一(yi)(yi)日(ri)(ri)。乃顺(shun)，初日(ri)(ri)行(xing)六十(shi)(shi)(shi)分(fen)(fen)(fen)(fen)，日(ri)(ri)益(yi)疾(ji)一(yi)(yi)分(fen)(fen)(fen)(fen)，百一(yi)(yi)十(shi)(shi)(shi)四(si)日(ri)(ri)行(xing)十(shi)(shi)(shi)九(jiu)度四(si)百三十(shi)(shi)(shi)七分(fen)(fen)(fen)(fen)。而伏。
○荧惑
率(lv)七百(bai)三十八万一(yi)千二百(bai)二十三。
终(zhong)日七(qi)百七(qi)十(shi)九，行分六(liu)百二(er)十(shi)六(liu)，小(xiao)分三(san)。
平见，入(ru)冬至初日(ri)(ri)，减(jian)(jian)万(wan)六千三(san)(san)百(bai)五(wu)(wu)十四分(fen)(fen)。乃日(ri)(ri)损所减(jian)(jian)五(wu)(wu)百(bai)四十五(wu)(wu)分(fen)(fen)。入(ru)大寒，日(ri)(ri)增(zeng)所加四百(bai)二(er)十六分(fen)(fen)。入(ru)雨水后(hou)，均加二(er)十九(jiu)日(ri)(ri)。立夏(xia)初日(ri)(ri)，加万(wan)九(jiu)千三(san)(san)百(bai)九(jiu)十二(er)分(fen)(fen)。乃日(ri)(ri)损所加二(er)百(bai)一十三(san)(san)分(fen)(fen)。入(ru)立秋初，依(yi)平。入(ru)处(chu)暑，日(ri)(ri)增(zeng)所减(jian)(jian)百(bai)八十四分(fen)(fen)。入(ru)小(xiao)雪后(hou)，均减(jian)(jian)二(er)十五(wu)(wu)日(ri)(ri)。
初(chu)见(jian)，入(ru)冬至(zhi)，初(chu)率(lv)(lv)(lv)二(er)(er)百(bai)(bai)(bai)(bai)四(si)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)百(bai)(bai)(bai)(bai)六(liu)十(shi)(shi)(shi)(shi)(shi)三(san)(san)度(du)(du)(du)。自(zi)后二(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)损日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)各(ge)一(yi)(yi)(yi)(yi)(yi)(yi)，自(zi)百(bai)(bai)(bai)(bai)二(er)(er)十(shi)(shi)(shi)(shi)(shi)八(ba)(ba)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)百(bai)(bai)(bai)(bai)七(qi)十(shi)(shi)(shi)(shi)(shi)七(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)九(jiu)十(shi)(shi)(shi)(shi)(shi)九(jiu)度(du)(du)(du)，毕百(bai)(bai)(bai)(bai)六(liu)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。又(you)三(san)(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)损一(yi)(yi)(yi)(yi)(yi)(yi)，尽(jin)(jin)百(bai)(bai)(bai)(bai)八(ba)(ba)十(shi)(shi)(shi)(shi)(shi)二(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)百(bai)(bai)(bai)(bai)七(qi)十(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)九(jiu)十(shi)(shi)(shi)(shi)(shi)二(er)(er)度(du)(du)(du)，毕百(bai)(bai)(bai)(bai)八(ba)(ba)十(shi)(shi)(shi)(shi)(shi)八(ba)(ba)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。乃(nai)三(san)(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)(yi)一(yi)(yi)(yi)(yi)(yi)(yi)，尽(jin)(jin)二(er)(er)百(bai)(bai)(bai)(bai)二(er)(er)十(shi)(shi)(shi)(shi)(shi)七(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)百(bai)(bai)(bai)(bai)八(ba)(ba)十(shi)(shi)(shi)(shi)(shi)三(san)(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)百(bai)(bai)(bai)(bai)五(wu)(wu)度(du)(du)(du)。又(you)二(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)(yi)一(yi)(yi)(yi)(yi)(yi)(yi)，尽(jin)(jin)二(er)(er)百(bai)(bai)(bai)(bai)四(si)十(shi)(shi)(shi)(shi)(shi)九(jiu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)百(bai)(bai)(bai)(bai)九(jiu)十(shi)(shi)(shi)(shi)(shi)四(si)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)百(bai)(bai)(bai)(bai)一(yi)(yi)(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)六(liu)度(du)(du)(du)。又(you)每日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)(yi)一(yi)(yi)(yi)(yi)(yi)(yi)，尽(jin)(jin)二(er)(er)百(bai)(bai)(bai)(bai)一(yi)(yi)(yi)(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)二(er)(er)百(bai)(bai)(bai)(bai)五(wu)(wu)十(shi)(shi)(shi)(shi)(shi)五(wu)(wu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)百(bai)(bai)(bai)(bai)七(qi)十(shi)(shi)(shi)(shi)(shi)七(qi)度(du)(du)(du)，毕三(san)(san)百(bai)(bai)(bai)(bai)三(san)(san)十(shi)(shi)(shi)(shi)(shi)七(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。乃(nai)二(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)损一(yi)(yi)(yi)(yi)(yi)(yi)，尽(jin)(jin)大(da)雪(xue)，复初(chu)见(jian)。入(ru)小(xiao)寒后，三(san)(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)去(qu)(qu)(qu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)率(lv)(lv)(lv)一(yi)(yi)(yi)(yi)(yi)(yi)。入(ru)雨水(shui)，毕立(li)夏，均去(qu)(qu)(qu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)率(lv)(lv)(lv)二(er)(er)十(shi)(shi)(shi)(shi)(shi)。自(zi)后三(san)(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)减所去(qu)(qu)(qu)一(yi)(yi)(yi)(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，毕小(xiao)暑，依(yi)平(ping)，为(wei)(wei)定日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)率(lv)(lv)(lv)。若(ruo)(ruo)入(ru)处暑，毕秋分(fen)(fen)(fen)(fen)(fen)，皆(jie)去(qu)(qu)(qu)度(du)(du)(du)率(lv)(lv)(lv)六(liu)。各(ge)依(yi)冬至(zhi)后日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)数而(er)(er)损益(yi)(yi)之(zhi)(zhi)，又(you)依(yi)所入(ru)之(zhi)(zhi)气以(yi)减之(zhi)(zhi)，为(wei)(wei)前疾日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)率(lv)(lv)(lv)。若(ruo)(ruo)初(chu)行(xing)(xing)入(ru)大(da)寒，毕大(da)暑，皆(jie)差行(xing)(xing)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)(yi)迟一(yi)(yi)(yi)(yi)(yi)(yi)分(fen)(fen)(fen)(fen)(fen)；其余皆(jie)平(ping)行(xing)(xing)。若(ruo)(ruo)入(ru)白(bai)露，毕秋分(fen)(fen)(fen)(fen)(fen)，初(chu)迟，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)半度(du)(du)(du)，四(si)十(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)二(er)(er)十(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)。即去(qu)(qu)(qu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)率(lv)(lv)(lv)四(si)十(shi)(shi)(shi)(shi)(shi)、度(du)(du)(du)率(lv)(lv)(lv)二(er)(er)十(shi)(shi)(shi)(shi)(shi)，别为(wei)(wei)半度(du)(du)(du)之(zhi)(zhi)。行(xing)(xing)讫，然(ran)后求(qiu)平(ping)行(xing)(xing)分(fen)(fen)(fen)(fen)(fen)，续之(zhi)(zhi)。以(yi)行(xing)(xing)分(fen)(fen)(fen)(fen)(fen)法乘度(du)(du)(du)定率(lv)(lv)(lv)，如日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)定率(lv)(lv)(lv)而(er)(er)一(yi)(yi)(yi)(yi)(yi)(yi)，为(wei)(wei)平(ping)行(xing)(xing)分(fen)(fen)(fen)(fen)(fen)。不尽(jin)(jin)，为(wei)(wei)小(xiao)分(fen)(fen)(fen)(fen)(fen)。求(qiu)差行(xing)(xing)者，减日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)率(lv)(lv)(lv)一(yi)(yi)(yi)(yi)(yi)(yi)，又(you)半之(zhi)(zhi)，加平(ping)行(xing)(xing)分(fen)(fen)(fen)(fen)(fen)，为(wei)(wei)初(chu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)分(fen)(fen)(fen)(fen)(fen)。各(ge)尽(jin)(jin)其日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)而(er)(er)迟。初(chu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)三(san)(san)百(bai)(bai)(bai)(bai)二(er)(er)十(shi)(shi)(shi)(shi)(shi)六(liu)分(fen)(fen)(fen)(fen)(fen)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益(yi)(yi)迟一(yi)(yi)(yi)(yi)(yi)(yi)分(fen)(fen)(fen)(fen)(fen)半，六(liu)十(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)二(er)(er)十(shi)(shi)(shi)(shi)(shi)五(wu)(wu)度(du)(du)(du)五(wu)(wu)分(fen)(fen)(fen)(fen)(fen)。其前疾去(qu)(qu)(qu)度(du)(du)(du)六(liu)者，行(xing)(xing)三(san)(san)十(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)(yi)(yi)度(du)(du)(du)五(wu)(wu)分(fen)(fen)(fen)(fen)(fen)。此迟初(chu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)加六(liu)十(shi)(shi)(shi)(shi)(shi)七(qi)分(fen)(fen)(fen)(fen)(fen)、小(xiao)分(fen)(fen)(fen)(fen)(fen)六(liu)十(shi)(shi)(shi)(shi)(shi)分(fen)(fen)(fen)(fen)(fen)之(zhi)(zhi)三(san)(san)十(shi)(shi)(shi)(shi)(shi)六(liu)。
而留，十(shi)(shi)三(san)日。前疾去日者，分日于二(er)留，奇从后(hou)留。乃退，日百(bai)(bai)九十(shi)(shi)二(er)分，六(liu)十(shi)(shi)日退十(shi)(shi)七(qi)度(du)二(er)十(shi)(shi)八分。又留，十(shi)(shi)二(er)日六(liu)百(bai)(bai)二(er)十(shi)(shi)六(liu)分，小分三(san)。
又(you)(you)(you)顺(shun)。后(hou)迟，初日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)二(er)(er)百三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)八分(fen)(fen)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益疾(ji)(ji)一(yi)(yi)(yi)分(fen)(fen)半(ban)(ban)，六(liu)(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)二(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)度(du)(du)(du)(du)三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)分(fen)(fen)。此迟在立秋(qiu)至(zhi)秋(qiu)分(fen)(fen)者(zhe)，加六(liu)(liu)(liu)(liu)度(du)(du)(du)(du)，行(xing)(xing)(xing)(xing)三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)度(du)(du)(du)(du)三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)五(wu)分(fen)(fen)。此迟初日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)加行(xing)(xing)(xing)(xing)分(fen)(fen)六(liu)(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)(qi)、小分(fen)(fen)六(liu)(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)分(fen)(fen)之(zhi)三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)(liu)(liu)。而(er)(er)后(hou)疾(ji)(ji)。入(ru)冬(dong)(dong)至(zhi)，初率(lv)(lv)(lv)二(er)(er)百一(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)百三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)六(liu)(liu)(liu)(liu)度(du)(du)(du)(du)。乃(nai)每(mei)(mei)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)损(sun)(sun)一(yi)(yi)(yi)，尽(jin)三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)百七(qi)(qi)(qi)(qi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)九(jiu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九(jiu)度(du)(du)(du)(du)。又(you)(you)(you)二(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)损(sun)(sun)一(yi)(yi)(yi)，尽(jin)五(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)百六(liu)(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)八十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九(jiu)度(du)(du)(du)(du)，毕(bi)七(qi)(qi)(qi)(qi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九(jiu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。又(you)(you)(you)三(san)(san)(san)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益一(yi)(yi)(yi)，尽(jin)百三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)百八十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)百六(liu)(liu)(liu)(liu)度(du)(du)(du)(du)。又(you)(you)(you)二(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益一(yi)(yi)(yi)，尽(jin)百四十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)四日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)百九(jiu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)百一(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)三(san)(san)(san)度(du)(du)(du)(du)。又(you)(you)(you)每(mei)(mei)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益一(yi)(yi)(yi)，尽(jin)百九(jiu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)二(er)(er)百三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)百五(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九(jiu)度(du)(du)(du)(du)。又(you)(you)(you)每(mei)(mei)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益二(er)(er)，尽(jin)二(er)(er)百日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)二(er)(er)百五(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)百七(qi)(qi)(qi)(qi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九(jiu)度(du)(du)(du)(du)。又(you)(you)(you)每(mei)(mei)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)益一(yi)(yi)(yi)，尽(jin)二(er)(er)百一(yi)(yi)(yi)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，率(lv)(lv)(lv)二(er)(er)百六(liu)(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)七(qi)(qi)(qi)(qi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)百八十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九(jiu)度(du)(du)(du)(du)，毕(bi)二(er)(er)百五(wu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)九(jiu)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)。乃(nai)二(er)(er)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)损(sun)(sun)一(yi)(yi)(yi)，毕(bi)大(da)雪，复初。后(hou)迟加六(liu)(liu)(liu)(liu)度(du)(du)(du)(du)者(zhe)，此后(hou)疾(ji)(ji)去度(du)(du)(du)(du)率(lv)(lv)(lv)六(liu)(liu)(liu)(liu)，为定。各(ge)依(yi)冬(dong)(dong)至(zhi)后(hou)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)数而(er)(er)损(sun)(sun)益之(zhi)，为后(hou)疾(ji)(ji)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)(du)率(lv)(lv)(lv)。若(ruo)入(ru)立夏，毕(bi)夏至(zhi)，日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)行(xing)(xing)(xing)(xing)半(ban)(ban)度(du)(du)(du)(du)，尽(jin)六(liu)(liu)(liu)(liu)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，行(xing)(xing)(xing)(xing)三(san)(san)(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)。若(ruo)入(ru)小暑，毕(bi)大(da)暑，尽(jin)四十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)，行(xing)(xing)(xing)(xing)二(er)(er)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)(du)皆去日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)(du)率(lv)(lv)(lv)，别(bie)为半(ban)(ban)度(du)(du)(du)(du)之(zhi)。行(xing)(xing)(xing)(xing)讫，然后(hou)求平(ping)行(xing)(xing)(xing)(xing)分(fen)(fen)，续之(zhi)。各(ge)尽(jin)其日(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)(du)而(er)(er)伏(fu)。
○镇星
率三百五十(shi)七(qi)万(wan)八千二(er)百四(si)十(shi)六。
终(zhong)日(ri)三百七十八，行(xing)分六十一。
平见(jian)，入(ru)冬至初(chu)日(ri)(ri)(ri)，减四千(qian)八(ba)百一十四分(fen)。乃(nai)日(ri)(ri)(ri)增(zeng)所(suo)(suo)减七十九分(fen)。入(ru)小寒，均(jun)减九日(ri)(ri)(ri)。乃(nai)每气损(sun)(sun)所(suo)(suo)减一日(ri)(ri)(ri)。入(ru)夏至初(chu)日(ri)(ri)(ri)，均(jun)减二日(ri)(ri)(ri)。自后十日(ri)(ri)(ri)损(sun)(sun)所(suo)(suo)减一日(ri)(ri)(ri)。小暑五日(ri)(ri)(ri)外(wai)，依(yi)平。入(ru)大暑，日(ri)(ri)(ri)增(zeng)所(suo)(suo)加(jia)百八(ba)十一分(fen)。入(ru)处暑，均(jun)加(jia)九日(ri)(ri)(ri)。入(ru)白露(lu)初(chu)日(ri)(ri)(ri)，加(jia)六千(qian)二分(fen)。乃(nai)日(ri)(ri)(ri)损(sun)(sun)所(suo)(suo)加(jia)百三十三分(fen)。入(ru)霜降，日(ri)(ri)(ri)增(zeng)所(suo)(suo)减七十九分(fen)。
初(chu)见(jian)，顺(shun)，日(ri)行(xing)六十(shi)(shi)分(fen)(fen)(fen)，八十(shi)(shi)三日(ri)行(xing)七(qi)度二百(bai)四(si)十(shi)(shi)八分(fen)(fen)(fen)。而留(liu)，三十(shi)(shi)八日(ri)。乃(nai)退，日(ri)四(si)十(shi)(shi)一(yi)分(fen)(fen)(fen)，百(bai)日(ri)退六度四(si)十(shi)(shi)四(si)分(fen)(fen)(fen)。又留(liu)，三十(shi)(shi)七(qi)日(ri)六十(shi)(shi)一(yi)分(fen)(fen)(fen)。乃(nai)顺(shun)，日(ri)行(xing)六十(shi)(shi)分(fen)(fen)(fen)，八十(shi)(shi)三日(ri)行(xing)七(qi)度二百(bai)四(si)十(shi)(shi)八分(fen)(fen)(fen)而伏(fu)。
○太白
率五(wu)百五(wu)十二万六千二百。
终日五百八十三，行分六百二十，小分八。
晨见伏三百(bai)二十七日，行(xing)分六百(bai)二十，小分八。
夕(xi)见(jian)伏二百五十六日。
晨平见，入(ru)冬(dong)至，依(yi)平。入(ru)小寒，日(ri)(ri)(ri)增(zeng)所(suo)(suo)加六(liu)(liu)十(shi)(shi)(shi)六(liu)(liu)分(fen)。入(ru)立春(chun)，毕立夏(xia)，均加三日(ri)(ri)(ri)。小满初日(ri)(ri)(ri)，加千九百六(liu)(liu)十(shi)(shi)(shi)四分(fen)。乃(nai)日(ri)(ri)(ri)损(sun)所(suo)(suo)加六(liu)(liu)十(shi)(shi)(shi)分(fen)。入(ru)夏(xia)至，依(yi)平。入(ru)小暑(shu)，日(ri)(ri)(ri)增(zeng)所(suo)(suo)减六(liu)(liu)十(shi)(shi)(shi)分(fen)。入(ru)立秋(qiu)，毕立冬(dong)，均减三日(ri)(ri)(ri)。小雪初日(ri)(ri)(ri)，减千九百六(liu)(liu)十(shi)(shi)(shi)四分(fen)。乃(nai)日(ri)(ri)(ri)损(sun)所(suo)(suo)减六(liu)(liu)十(shi)(shi)(shi)六(liu)(liu)分(fen)。
初见，乃退(tui)，日(ri)(ri)半度(du)(du)(du)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)退(tui)五度(du)(du)(du)。而(er)留，九(jiu)(jiu)日(ri)(ri)。乃顺，迟，差行(xing)(xing)(xing)(xing)，日(ri)(ri)益(yi)疾(ji)八分，四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)行(xing)(xing)(xing)(xing)三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)度(du)(du)(du)。入(ru)大(da)雪(xue)毕(bi)小满者(zhe)，依(yi)此。入(ru)芒(mang)种(zhong)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)减(jian)一(yi)(yi)(yi)(yi)度(du)(du)(du)。入(ru)小暑，毕(bi)霜降(jiang)，均减(jian)三(san)度(du)(du)(du)。入(ru)立(li)冬，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)损所减(jian)一(yi)(yi)(yi)(yi)度(du)(du)(du)，毕(bi)小雪(xue)。皆(jie)为(wei)定(ding)度(du)(du)(du)。以(yi)行(xing)(xing)(xing)(xing)分法乘定(ding)度(du)(du)(du)，四(si)(si)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)除(chu)，为(wei)平行(xing)(xing)(xing)(xing)分。又以(yi)四(si)(si)乘三(san)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)九(jiu)(jiu)，以(yi)减(jian)平行(xing)(xing)(xing)(xing)，为(wei)初日(ri)(ri)行(xing)(xing)(xing)(xing)分。平行(xing)(xing)(xing)(xing)，日(ri)(ri)一(yi)(yi)(yi)(yi)度(du)(du)(du)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)五日(ri)(ri)行(xing)(xing)(xing)(xing)十(shi)(shi)(shi)(shi)(shi)(shi)(shi)五度(du)(du)(du)。入(ru)小寒(han)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)益(yi)日(ri)(ri)度(du)(du)(du)各一(yi)(yi)(yi)(yi)。入(ru)雨水后(hou)，皆(jie)二十(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)日(ri)(ri)行(xing)(xing)(xing)(xing)二十(shi)(shi)(shi)(shi)(shi)(shi)(shi)一(yi)(yi)(yi)(yi)度(du)(du)(du)。入(ru)春分后(hou)，十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)减(jian)一(yi)(yi)(yi)(yi)。毕(bi)立(li)夏，依(yi)平。入(ru)小满后(hou)，六日(ri)(ri)减(jian)一(yi)(yi)(yi)(yi)。毕(bi)立(li)秋，日(ri)(ri)度(du)(du)(du)皆(jie)尽，无(wu)平行(xing)(xing)(xing)(xing)。入(ru)霜降(jiang)后(hou)，四(si)(si)日(ri)(ri)加一(yi)(yi)(yi)(yi)。毕(bi)大(da)雪(xue)，依(yi)平。疾(ji)，百七十(shi)(shi)(shi)(shi)(shi)(shi)(shi)日(ri)(ri)行(xing)(xing)(xing)(xing)二百四(si)(si)度(du)(du)(du)。前顺迟减(jian)度(du)(du)(du)者(zhe)，计所减(jian)之数，以(yi)益(yi)此度(du)(du)(du)为(wei)定(ding)。而(er)晨伏(fu)。
夕(xi)平见，入(ru)(ru)冬(dong)至，日(ri)(ri)增所(suo)减(jian)(jian)百(bai)分(fen)。入(ru)(ru)启蛰(zhe)，毕春分(fen)，均减(jian)(jian)九日(ri)(ri)。清(qing)明初(chu)日(ri)(ri)，减(jian)(jian)五千(qian)九百(bai)八十(shi)六分(fen)。乃日(ri)(ri)损(sun)所(suo)减(jian)(jian)百(bai)分(fen)。入(ru)(ru)芒种(zhong)，依平。入(ru)(ru)夏(xia)至，日(ri)(ri)增所(suo)加百(bai)分(fen)。入(ru)(ru)处暑(shu)，毕秋分(fen)，均加九日(ri)(ri)。寒露(lu)初(chu)日(ri)(ri)，加五千(qian)九百(bai)八十(shi)六分(fen)。乃日(ri)(ri)损(sun)所(suo)减(jian)(jian)百(bai)分(fen)。入(ru)(ru)大雪(xue)，依平。
初见，顺疾，百七十日(ri)行(xing)(xing)二(er)百四(si)度(du)(du)。入(ru)(ru)冬(dong)至(zhi)毕立(li)(li)夏(xia)者，依(yi)此(ci)。入(ru)(ru)小(xiao)满，六日(ri)加一(yi)度(du)(du)。入(ru)(ru)夏(xia)至(zhi)，毕小(xiao)暑(shu)，均(jun)加五(wu)(wu)度(du)(du)。入(ru)(ru)大(da)(da)(da)暑(shu)，三日(ri)减(jian)一(yi)度(du)(du)。入(ru)(ru)立(li)(li)秋，毕大(da)(da)(da)雪，依(yi)平(ping)。从(cong)白露(lu)毕春(chun)分(fen)(fen)(fen)，皆差(cha)行(xing)(xing)，日(ri)益(yi)疾一(yi)分(fen)(fen)(fen)半。以一(yi)分(fen)(fen)(fen)半乘百六十九(jiu)(jiu)(jiu)而半之，以加平(ping)行(xing)(xing)，为初日(ri)行(xing)(xing)分(fen)(fen)(fen)。入(ru)(ru)清明，毕于处暑(shu)，毕平(ping)行(xing)(xing)。乃(nai)平(ping)行(xing)(xing)，日(ri)一(yi)度(du)(du)，十五(wu)(wu)日(ri)行(xing)(xing)十五(wu)(wu)度(du)(du)。入(ru)(ru)冬(dong)至(zhi)后(hou)，十日(ri)减(jian)日(ri)度(du)(du)各一(yi)。入(ru)(ru)启蛰，毕芒种，皆九(jiu)(jiu)(jiu)日(ri)行(xing)(xing)九(jiu)(jiu)(jiu)度(du)(du)。入(ru)(ru)夏(xia)至(zhi)后(hou)，五(wu)(wu)日(ri)益(yi)一(yi)。入(ru)(ru)大(da)(da)(da)暑(shu)，依(yi)平(ping)。入(ru)(ru)立(li)(li)秋后(hou)，六日(ri)加一(yi)。毕秋分(fen)(fen)(fen)，二(er)十五(wu)(wu)日(ri)行(xing)(xing)二(er)十五(wu)(wu)度(du)(du)。入(ru)(ru)寒露(lu)，六日(ri)减(jian)一(yi)。入(ru)(ru)大(da)(da)(da)雪，依(yi)平(ping)。顺迟，日(ri)益(yi)迟八分(fen)(fen)(fen)，四(si)十日(ri)行(xing)(xing)三十度(du)(du)。前加度(du)(du)者，此(ci)依(yi)数减(jian)之。又留，九(jiu)(jiu)(jiu)日(ri)。乃(nai)退，日(ri)半度(du)(du)，十日(ri)退五(wu)(wu)度(du)(du)。而夕伏。
○辰星
率(lv)百(bai)九(jiu)万(wan)六千(qian)六百(bai)八十三
终日百一十(shi)五(wu)，行分五(wu)百九(jiu)十(shi)四(si)，小(xiao)分七。
晨见伏(fu)六十三日(ri)，行分五百九十四，小分七。
夕见伏五十二日。
晨平见，入(ru)(ru)冬至，均(jun)减四日(ri)(ri)。入(ru)(ru)小(xiao)寒，依(yi)平。入(ru)(ru)立(li)(li)(li)春后(hou)，均(jun)减三日(ri)(ri)。入(ru)(ru)雨水，毕立(li)(li)(li)夏(xia)，应(ying)见不见。其在启蛰、立(li)(li)(li)夏(xia)气内，去日(ri)(ri)十(shi)(shi)八度(du)外、三十(shi)(shi)六度(du)内，晨有木、火、土、金一星者，亦见。入(ru)(ru)小(xiao)满，依(yi)平。入(ru)(ru)霜降，毕立(li)(li)(li)冬，均(jun)加一日(ri)(ri)。入(ru)(ru)小(xiao)雪，至大雪十(shi)(shi)二日(ri)(ri)，依(yi)平。若(ruo)在大雪十(shi)(shi)三日(ri)(ri)后(hou)，日(ri)(ri)增所减一日(ri)(ri)。
初(chu)见，留(liu)，六(liu)(liu)(liu)日(ri)(ri)。顺迟(chi)，日(ri)(ri)行(xing)百(bai)六(liu)(liu)(liu)十九分(fen)。入大寒，毕(bi)启(qi)蛰(zhe)，无(wu)此(ci)迟(chi)行(xing)。乃平(ping)行(xing)，日(ri)(ri)一(yi)度(du)(du)(du)，十日(ri)(ri)行(xing)十度(du)(du)(du)。入大寒后，二(er)(er)日(ri)(ri)去(qu)日(ri)(ri)度(du)(du)(du)各一(yi)，毕(bi)于二(er)(er)十日(ri)(ri)，日(ri)(ri)度(du)(du)(du)俱尽，无(wu)此(ci)平(ping)行(xing)。疾，日(ri)(ri)行(xing)一(yi)度(du)(du)(du)六(liu)(liu)(liu)百(bai)九分(fen)，十日(ri)(ri)行(xing)十九度(du)(du)(du)六(liu)(liu)(liu)分(fen)。前(qian)无(wu)迟(chi)行(xing)者，此(ci)疾日(ri)(ri)减二(er)(er)百(bai)三分(fen)，十日(ri)(ri)行(xing)十六(liu)(liu)(liu)度(du)(du)(du)四分(fen)。而(er)晨伏。
夕平见(jian)(jian)，入(ru)冬至后，依平。入(ru)谷雨，毕芒种(zhong)，均减二(er)日。入(ru)夏(xia)至，依平。入(ru)立(li)秋(qiu)，毕霜降，应(ying)见(jian)(jian)不见(jian)(jian)。其在立(li)秋(qiu)、霜降气内，夕有(you)星去日如前者(zhe)，亦见(jian)(jian)。入(ru)立(li)冬，毕大雪，依平。
初(chu)见，顺疾(ji)，日(ri)(ri)(ri)行(xing)一(yi)度六(liu)百(bai)九(jiu)分(fen)，十(shi)日(ri)(ri)(ri)行(xing)十(shi)九(jiu)度六(liu)分(fen)。若入(ru)小暑，毕(bi)处(chu)暑，日(ri)(ri)(ri)减二(er)百(bai)三分(fen)。乃平行(xing)，日(ri)(ri)(ri)一(yi)度，十(shi)日(ri)(ri)(ri)行(xing)十(shi)度。入(ru)大暑后，二(er)日(ri)(ri)(ri)去日(ri)(ri)(ri)及度各一(yi)，毕(bi)于二(er)十(shi)日(ri)(ri)(ri)，日(ri)(ri)(ri)度俱尽(jin)，无此平行(xing)。迟，日(ri)(ri)(ri)行(xing)百(bai)六(liu)十(shi)九(jiu)分(fen)。若疾(ji)减二(er)百(bai)三分(fen)者，即(ji)不须此迟行(xing)。又留，六(liu)日(ri)(ri)(ri)七分(fen)。而夕伏。
各以(yi)(yi)星(xing)(xing)(xing)率(lv)去(qu)(qu)岁积分(fen)(fen)(fen)(fen)(fen)(fen)，余反以(yi)(yi)减(jian)(jian)其率(lv)，余如度(du)(du)(du)法得(de)(de)一为(wei)(wei)日(ri)(ri)(ri)(ri)(ri)(ri)，得(de)(de)冬至后晨(chen)(chen)平(ping)见(jian)(jian)(jian)(jian)(jian)日(ri)(ri)(ri)(ri)(ri)(ri)及(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)。以(yi)(yi)冬至去(qu)(qu)朔(shuo)日(ri)(ri)(ri)(ri)(ri)(ri)算(suan)及(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)加(jia)(jia)(jia)(jia)之(zhi)(zhi)(zhi)，起天正，依(yi)月大小(xiao)计(ji)之(zhi)(zhi)(zhi)，命日(ri)(ri)(ri)(ri)(ri)(ri)算(suan)外，得(de)(de)所在日(ri)(ri)(ri)(ri)(ri)(ri)月。金、水各以(yi)(yi)晨(chen)(chen)见(jian)(jian)(jian)(jian)(jian)伏日(ri)(ri)(ri)(ri)(ri)(ri)及(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)加(jia)(jia)(jia)(jia)之(zhi)(zhi)(zhi)，得(de)(de)夕(xi)(xi)平(ping)见(jian)(jian)(jian)(jian)(jian)。各以(yi)(yi)其星(xing)(xing)(xing)初(chu)日(ri)(ri)(ri)(ri)(ri)(ri)所加(jia)(jia)(jia)(jia)减(jian)(jian)之(zhi)(zhi)(zhi)分(fen)(fen)(fen)(fen)(fen)(fen)，计(ji)后日(ri)(ri)(ri)(ri)(ri)(ri)损(sun)(sun)益(yi)之(zhi)(zhi)(zhi)数(shu)以(yi)(yi)损(sun)(sun)益(yi)之(zhi)(zhi)(zhi)。讫(qi)(qi)，乃以(yi)(yi)加(jia)(jia)(jia)(jia)减(jian)(jian)平(ping)见(jian)(jian)(jian)(jian)(jian)为(wei)(wei)定见(jian)(jian)(jian)(jian)(jian)。其加(jia)(jia)(jia)(jia)减(jian)(jian)分(fen)(fen)(fen)(fen)(fen)(fen)皆满行分(fen)(fen)(fen)(fen)(fen)(fen)法为(wei)(wei)日(ri)(ri)(ri)(ri)(ri)(ri)。以(yi)(yi)定见(jian)(jian)(jian)(jian)(jian)去(qu)(qu)朔(shuo)日(ri)(ri)(ri)(ri)(ri)(ri)及(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)加(jia)(jia)(jia)(jia)其朔(shuo)前(qian)夜(ye)半日(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)，又以(yi)(yi)星(xing)(xing)(xing)初(chu)见(jian)(jian)(jian)(jian)(jian)去(qu)(qu)日(ri)(ri)(ri)(ri)(ri)(ri)度(du)(du)(du)，岁星(xing)(xing)(xing)十(shi)(shi)四，太白十(shi)(shi)一，荧(ying)(ying)惑、镇星(xing)(xing)(xing)、辰星(xing)(xing)(xing)皆十(shi)(shi)七，晨(chen)(chen)减(jian)(jian)、夕(xi)(xi)加(jia)(jia)(jia)(jia)之(zhi)(zhi)(zhi)，得(de)(de)初(chu)见(jian)(jian)(jian)(jian)(jian)宿度(du)(du)(du)。求次日(ri)(ri)(ri)(ri)(ri)(ri)，各加(jia)(jia)(jia)(jia)一日(ri)(ri)(ri)(ri)(ri)(ri)所行度(du)(du)(du)及(ji)(ji)分(fen)(fen)(fen)(fen)(fen)(fen)。荧(ying)(ying)惑、太白有小(xiao)分(fen)(fen)(fen)(fen)(fen)(fen)者，各以(yi)(yi)日(ri)(ri)(ri)(ri)(ri)(ri)率(lv)为(wei)(wei)母。其行有益(yi)疾(ji)迟(chi)者，副置一日(ri)(ri)(ri)(ri)(ri)(ri)行分(fen)(fen)(fen)(fen)(fen)(fen)，各以(yi)(yi)其差疾(ji)益(yi)、迟(chi)损(sun)(sun)，乃加(jia)(jia)(jia)(jia)之(zhi)(zhi)(zhi)。留者因前(qian)，退则依(yi)减(jian)(jian)，伏不注度(du)(du)(du)。顺行出斗，去(qu)(qu)其分(fen)(fen)(fen)(fen)(fen)(fen)；退行入斗，先(xian)加(jia)(jia)(jia)(jia)分(fen)(fen)(fen)(fen)(fen)(fen)。讫(qi)(qi)，皆以(yi)(yi)二十(shi)(shi)六(liu)约行分(fen)(fen)(fen)(fen)(fen)(fen)，为(wei)(wei)度(du)(du)(du)分(fen)(fen)(fen)(fen)(fen)(fen)。
交会法(fa)千二百七十四万一千二百五八(ba)分(fen)。交分(fen)法(fa)六(liu)百三十七万六(liu)百二九(jiu)分(fen)。
朔差百(bai)(bai)八万五(wu)千(qian)(qian)(qian)四(si)百(bai)(bai)九(jiu)十(shi)四(si)二分。望分六百(bai)(bai)九(jiu)十(shi)一万三千(qian)(qian)(qian)三百(bai)(bai)五(wu)十(shi)。交限五(wu)百(bai)(bai)八十(shi)二万七千(qian)(qian)(qian)八百(bai)(bai)五(wu)十(shi)五(wu)八分。望差五(wu)十(shi)四(si)万二千(qian)(qian)(qian)七百(bai)(bai)四(si)十(shi)七一分。
外(wai)限(xian)六(liu)百(bai)七十(shi)六(liu)万七百(bai)八十(shi)二(er)九分。中(zhong)限(xian)千二(er)百(bai)三十(shi)五(wu)万一千二(er)十(shi)五(wu)八分。内限(xian)千二(er)百(bai)一十(shi)九万一千四(si)百(bai)五(wu)十(shi)八七分。
以朔差(cha)(cha)乘积月，满(man)交(jiao)(jiao)(jiao)会(hui)法(fa)(fa)去(qu)(qu)之；余(yu)(yu)得天正(zheng)月朔入平(ping)交(jiao)(jiao)(jiao)分(fen)。求(qiu)望(wang)，以望(wang)分(fen)加(jia)之。求(qiu)次月，以朔差(cha)(cha)加(jia)之。其朔望(wang)，入大雪，毕(bi)冬(dong)至，依平(ping)。入小(xiao)寒，日加(jia)气差(cha)(cha)千(qian)六百(bai)(bai)(bai)五(wu)十(shi)(shi)分(fen)。入启蛰，毕(bi)清明(ming)，均(jun)(jun)加(jia)七万六千(qian)一(yi)百(bai)(bai)(bai)分(fen)。自(zi)后日损(sun)(sun)所加(jia)千(qian)六百(bai)(bai)(bai)五(wu)十(shi)(shi)分(fen)。入芒种，毕(bi)夏至，依平(ping)。加(jia)之满(man)法(fa)(fa)，去(qu)(qu)之。若朔交(jiao)(jiao)(jiao)入小(xiao)寒毕(bi)雨水，及立夏毕(bi)小(xiao)满(man)，值盈(ying)二(er)时已(yi)下(xia)，皆(jie)半气差(cha)(cha)加(jia)之。二(er)时已(yi)上(shang)则(ze)否。如望(wang)差(cha)(cha)已(yi)下(xia)、外限(xian)(xian)已(yi)上(shang)有星伏，木、土去(qu)(qu)见十(shi)(shi)日外，火(huo)去(qu)(qu)见四十(shi)(shi)日外，金晨伏去(qu)(qu)见二(er)十(shi)(shi)二(er)日外，有一(yi)星者，不加(jia)气差(cha)(cha)。入小(xiao)暑后，日增所减(jian)(jian)(jian)(jian)千(qian)二(er)百(bai)(bai)(bai)分(fen)。入白露(lu)，毕(bi)霜降，均(jun)(jun)减(jian)(jian)(jian)(jian)九万五(wu)千(qian)八百(bai)(bai)(bai)二(er)十(shi)(shi)五(wu)分(fen)。立冬(dong)初日，减(jian)(jian)(jian)(jian)六万三(san)千(qian)三(san)百(bai)(bai)(bai)分(fen)，自(zi)后日损(sun)(sun)所减(jian)(jian)(jian)(jian)二(er)千(qian)一(yi)百(bai)(bai)(bai)一(yi)十(shi)(shi)分(fen)。减(jian)(jian)(jian)(jian)若不足，加(jia)法(fa)(fa)，乃减(jian)(jian)(jian)(jian)之，余(yu)(yu)为(wei)(wei)定交(jiao)(jiao)(jiao)分(fen)。朔入交(jiao)(jiao)(jiao)分(fen)，如交(jiao)(jiao)(jiao)限(xian)(xian)内限(xian)(xian)已(yi)上(shang)、交(jiao)(jiao)(jiao)分(fen)中限(xian)(xian)已(yi)下(xia)有星伏如前(qian)者，不减(jian)(jian)(jian)(jian)。不满(man)交(jiao)(jiao)(jiao)分(fen)法(fa)(fa)者，为(wei)(wei)在(zai)(zai)外道(dao)；满(man)去(qu)(qu)之，余(yu)(yu)为(wei)(wei)在(zai)(zai)内道(dao)。如望(wang)差(cha)(cha)已(yi)下(xia)，为(wei)(wei)去(qu)(qu)先交(jiao)(jiao)(jiao)分(fen)，交(jiao)(jiao)(jiao)限(xian)(xian)已(yi)上(shang)，以减(jian)(jian)(jian)(jian)交(jiao)(jiao)(jiao)分(fen)，余(yu)(yu)为(wei)(wei)去(qu)(qu)后交(jiao)(jiao)(jiao)分(fen)。皆(jie)三(san)日法(fa)(fa)约，为(wei)(wei)时数。望(wang)则(ze)月蚀，朔在(zai)(zai)内道(dao)则(ze)日蚀。虽在(zai)(zai)外道(dao)，去(qu)(qu)交(jiao)(jiao)(jiao)近(jin)，亦(yi)蚀。在(zai)(zai)内道(dao)，去(qu)(qu)交(jiao)(jiao)(jiao)远(yuan)，亦(yi)不蚀。
置蚀(shi)(shi)望定小余(yu)(yu)。入(ru)历(li)一日(ri)，减(jian)二(er)百(bai)(bai)八(ba)十(shi)；若(ruo)(ruo)十(shi)五(wu)日(ri)，即(ji)加(jia)之(zhi)；十(shi)四日(ri)，加(jia)五(wu)百(bai)(bai)五(wu)十(shi)；若(ruo)(ruo)二(er)十(shi)八(ba)日(ri)，即(ji)减(jian)之(zhi)；余(yu)(yu)日(ri)皆盈加(jia)、缩减(jian)二(er)百(bai)(bai)八(ba)十(shi)：为月蚀(shi)(shi)定余(yu)(yu)。十(shi)二(er)乘之(zhi)，时法而一，命(ming)子半算(suan)外；不尽，得月蚀(shi)(shi)加(jia)时。约定小余(yu)(yu)如夜漏半已下者，退日(ri)算(suan)上。
置蚀(shi)朔定小余(yu)(yu)(yu)。入历(li)一(yi)日(ri)(ri)，即减(jian)二(er)百(bai)(bai)八(ba)十(shi)(shi)(shi)；若(ruo)十(shi)(shi)(shi)五日(ri)(ri)，即加(jia)(jia)(jia)(jia)之(zhi)；十(shi)(shi)(shi)四(si)(si)日(ri)(ri)，加(jia)(jia)(jia)(jia)五百(bai)(bai)五十(shi)(shi)(shi)；若(ruo)二(er)十(shi)(shi)(shi)八(ba)日(ri)(ri)，即减(jian)之(zhi)；为(wei)定。后不(bu)(bu)入四(si)(si)时(shi)(shi)(shi)(shi)加(jia)(jia)(jia)(jia)减(jian)之(zhi)限。其(qi)内道，春，去(qu)交(jiao)(jiao)四(si)(si)时(shi)(shi)(shi)(shi)已(yi)(yi)(yi)上(shang)(shang)入历(li)，盈加(jia)(jia)(jia)(jia)、缩减(jian)二(er)百(bai)(bai)八(ba)十(shi)(shi)(shi)；夏(xia)，盈加(jia)(jia)(jia)(jia)、缩减(jian)二(er)百(bai)(bai)八(ba)十(shi)(shi)(shi)；秋，去(qu)交(jiao)(jiao)十(shi)(shi)(shi)一(yi)时(shi)(shi)(shi)(shi)已(yi)(yi)(yi)下(xia)，惟盈加(jia)(jia)(jia)(jia)二(er)百(bai)(bai)八(ba)十(shi)(shi)(shi)，已(yi)(yi)(yi)上(shang)(shang)者，盈加(jia)(jia)(jia)(jia)五百(bai)(bai)五十(shi)(shi)(shi)，缩加(jia)(jia)(jia)(jia)二(er)百(bai)(bai)八(ba)十(shi)(shi)(shi)；冬，去(qu)交(jiao)(jiao)五时(shi)(shi)(shi)(shi)已(yi)(yi)(yi)下(xia)，惟盈加(jia)(jia)(jia)(jia)二(er)百(bai)(bai)八(ba)十(shi)(shi)(shi)：皆为(wei)定余(yu)(yu)(yu)。十(shi)(shi)(shi)二(er)乘之(zhi)，时(shi)(shi)(shi)(shi)法(fa)(fa)而一(yi)，命子半(ban)(ban)(ban)算外；不(bu)(bu)尽，为(wei)时(shi)(shi)(shi)(shi)余(yu)(yu)(yu)，副(fu)(fu)(fu)(fu)之(zhi)。仲辰(chen)半(ban)(ban)(ban)前(qian)，以(yi)(yi)(yi)副(fu)(fu)(fu)(fu)减(jian)法(fa)(fa)为(wei)差(cha)(cha)(cha)率(lv)(lv)(lv)(lv)；半(ban)(ban)(ban)后，退半(ban)(ban)(ban)辰(chen)，以(yi)(yi)(yi)法(fa)(fa)加(jia)(jia)(jia)(jia)余(yu)(yu)(yu)，以(yi)(yi)(yi)副(fu)(fu)(fu)(fu)为(wei)差(cha)(cha)(cha)率(lv)(lv)(lv)(lv)。季辰(chen)半(ban)(ban)(ban)前(qian)，以(yi)(yi)(yi)法(fa)(fa)加(jia)(jia)(jia)(jia)副(fu)(fu)(fu)(fu)为(wei)差(cha)(cha)(cha)率(lv)(lv)(lv)(lv)；半(ban)(ban)(ban)后，退半(ban)(ban)(ban)辰(chen)，以(yi)(yi)(yi)法(fa)(fa)加(jia)(jia)(jia)(jia)余(yu)(yu)(yu)，倍法(fa)(fa)加(jia)(jia)(jia)(jia)副(fu)(fu)(fu)(fu)，为(wei)差(cha)(cha)(cha)率(lv)(lv)(lv)(lv)。孟(meng)辰(chen)半(ban)(ban)(ban)前(qian)，三因(yin)其(qi)法(fa)(fa)，以(yi)(yi)(yi)副(fu)(fu)(fu)(fu)减(jian)之(zhi)，余(yu)(yu)(yu)为(wei)差(cha)(cha)(cha)率(lv)(lv)(lv)(lv)；半(ban)(ban)(ban)后，退半(ban)(ban)(ban)辰(chen)，以(yi)(yi)(yi)法(fa)(fa)加(jia)(jia)(jia)(jia)余(yu)(yu)(yu)，又以(yi)(yi)(yi)法(fa)(fa)加(jia)(jia)(jia)(jia)副(fu)(fu)(fu)(fu)，乃三因(yin)其(qi)法(fa)(fa)，以(yi)(yi)(yi)副(fu)(fu)(fu)(fu)减(jian)之(zhi)，为(wei)差(cha)(cha)(cha)率(lv)(lv)(lv)(lv)。又置去(qu)交(jiao)(jiao)时(shi)(shi)(shi)(shi)数，三已(yi)(yi)(yi)下(xia)，加(jia)(jia)(jia)(jia)三；六已(yi)(yi)(yi)下(xia)，加(jia)(jia)(jia)(jia)二(er)；九(jiu)已(yi)(yi)(yi)下(xia)，加(jia)(jia)(jia)(jia)一(yi)；九(jiu)已(yi)(yi)(yi)上(shang)(shang)，依数；十(shi)(shi)(shi)二(er)已(yi)(yi)(yi)上(shang)(shang)，从十(shi)(shi)(shi)二(er)。若(ruo)季辰(chen)半(ban)(ban)(ban)后，孟(meng)辰(chen)半(ban)(ban)(ban)前(qian)，去(qu)交(jiao)(jiao)六时(shi)(shi)(shi)(shi)已(yi)(yi)(yi)上(shang)(shang)者，皆从其(qi)六。六时(shi)(shi)(shi)(shi)已(yi)(yi)(yi)下(xia)，依数不(bu)(bu)加(jia)(jia)(jia)(jia)。皆乘差(cha)(cha)(cha)率(lv)(lv)(lv)(lv)，十(shi)(shi)(shi)四(si)(si)除，为(wei)时(shi)(shi)(shi)(shi)差(cha)(cha)(cha)。子午(wu)半(ban)(ban)(ban)后，以(yi)(yi)(yi)加(jia)(jia)(jia)(jia)时(shi)(shi)(shi)(shi)余(yu)(yu)(yu)；卯(mao)酉(you)半(ban)(ban)(ban)后，以(yi)(yi)(yi)减(jian)时(shi)(shi)(shi)(shi)余(yu)(yu)(yu)；加(jia)(jia)(jia)(jia)之(zhi)满(man)若(ruo)不(bu)(bu)足，进退时(shi)(shi)(shi)(shi)法(fa)(fa)：孟(meng)谓寅、巳、申(shen)，仲谓午(wu)、卯(mao)、酉(you)，季谓辰(chen)、未、戌。得(de)日(ri)(ri)蚀(shi)加(jia)(jia)(jia)(jia)时(shi)(shi)(shi)(shi)。
望去(qu)交分，冬先(xian)后交，皆(jie)去(qu)二(er)时；春(chun)先(xian)交，秋(qiu)后交，去(qu)半(ban)时；春(chun)后交，秋(qiu)先(xian)交，去(qu)二(er)时；夏则(ze)依定。不足去(qu)者，既。乃以三(san)万六(liu)千(qian)一百八(ba)十三(san)为法而一，以减十五，余为月蚀分。
朔去(qu)(qu)(qu)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)，在(zai)内(nei)(nei)道，五月(yue)朔，加时(shi)(shi)(shi)(shi)在(zai)南方，先(xian)(xian)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)十(shi)(shi)(shi)(shi)三(san)时(shi)(shi)(shi)(shi)外(wai)(wai)；六月(yue)朔，后(hou)(hou)(hou)(hou)(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)十(shi)(shi)(shi)(shi)三(san)时(shi)(shi)(shi)(shi)外(wai)(wai)者(zhe)(zhe)，不(bu)蚀。启蛰毕清明，先(xian)(xian)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)十(shi)(shi)(shi)(shi)三(san)时(shi)(shi)(shi)(shi)外(wai)(wai)，值(zhi)缩(suo)，加时(shi)(shi)(shi)(shi)在(zai)未西；处暑毕寒露，后(hou)(hou)(hou)(hou)(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)十(shi)(shi)(shi)(shi)三(san)时(shi)(shi)(shi)(shi)外(wai)(wai)，值(zhi)盈(ying)，加时(shi)(shi)(shi)(shi)在(zai)巳东(dong)，皆不(bu)蚀。交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)在(zai)外(wai)(wai)道，先(xian)(xian)后(hou)(hou)(hou)(hou)(hou)去(qu)(qu)(qu)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)一(yi)时(shi)(shi)(shi)(shi)内(nei)(nei)者(zhe)(zhe)，皆蚀。若二(er)时(shi)(shi)(shi)(shi)内(nei)(nei)，及先(xian)(xian)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)值(zhi)盈(ying)、后(hou)(hou)(hou)(hou)(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)值(zhi)缩(suo)二(er)时(shi)(shi)(shi)(shi)外(wai)(wai)者(zhe)(zhe)，亦(yi)(yi)蚀。夏去(qu)(qu)(qu)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)二(er)时(shi)(shi)(shi)(shi)内(nei)(nei)，加时(shi)(shi)(shi)(shi)在(zai)南方者(zhe)(zhe)，亦(yi)(yi)蚀。若去(qu)(qu)(qu)分(fen)(fen)、至(zhi)十(shi)(shi)(shi)(shi)二(er)时(shi)(shi)(shi)(shi)内(nei)(nei)，去(qu)(qu)(qu)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)六时(shi)(shi)(shi)(shi)内(nei)(nei)者(zhe)(zhe)，亦(yi)(yi)蚀。若去(qu)(qu)(qu)春(chun)分(fen)(fen)三(san)日(ri)(ri)内(nei)(nei)，后(hou)(hou)(hou)(hou)(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)二(er)时(shi)(shi)(shi)(shi)；秋(qiu)分(fen)(fen)三(san)日(ri)(ri)内(nei)(nei)，先(xian)(xian)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)二(er)时(shi)(shi)(shi)(shi)内(nei)(nei)者(zhe)(zhe)，亦(yi)(yi)蚀。诸去(qu)(qu)(qu)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)三(san)时(shi)(shi)(shi)(shi)内(nei)(nei)有星(xing)伏(fu)，土、木(mu)去(qu)(qu)(qu)见十(shi)(shi)(shi)(shi)日(ri)(ri)外(wai)(wai)，火(huo)去(qu)(qu)(qu)见四(si)十(shi)(shi)(shi)(shi)日(ri)(ri)外(wai)(wai)，金晨伏(fu)去(qu)(qu)(qu)见二(er)十(shi)(shi)(shi)(shi)二(er)日(ri)(ri)外(wai)(wai)，有一(yi)星(xing)者(zhe)(zhe)，不(bu)蚀。各置去(qu)(qu)(qu)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)分(fen)(fen)。秋(qiu)分(fen)(fen)后(hou)(hou)(hou)(hou)(hou)，毕立(li)春(chun)，均减(jian)(jian)二(er)十(shi)(shi)(shi)(shi)二(er)万八(ba)百(bai)分(fen)(fen)。启蛰初(chu)日(ri)(ri)，毕芒种，日(ri)(ri)损所减(jian)(jian)千(qian)八(ba)百(bai)一(yi)十(shi)(shi)(shi)(shi)分(fen)(fen)。夏至(zhi)后(hou)(hou)(hou)(hou)(hou)，毕白露，日(ri)(ri)增所减(jian)(jian)二(er)千(qian)四(si)百(bai)分(fen)(fen)。以(yi)(yi)减(jian)(jian)去(qu)(qu)(qu)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)分(fen)(fen)，余为不(bu)蚀分(fen)(fen)。不(bu)足减(jian)(jian)，反相(xiang)减(jian)(jian)为不(bu)蚀分(fen)(fen)。亦(yi)(yi)以(yi)(yi)减(jian)(jian)望差(cha)为定(ding)法。后(hou)(hou)(hou)(hou)(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)值(zhi)缩(suo)者(zhe)(zhe)，直(zhi)以(yi)(yi)望差(cha)为定(ding)法。其不(bu)蚀分(fen)(fen)，大寒毕立(li)春(chun)，后(hou)(hou)(hou)(hou)(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)五时(shi)(shi)(shi)(shi)外(wai)(wai)，皆去(qu)(qu)(qu)一(yi)时(shi)(shi)(shi)(shi)。时(shi)(shi)(shi)(shi)差(cha)值(zhi)减(jian)(jian)者(zhe)(zhe)，先(xian)(xian)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)减(jian)(jian)之(zhi)(zhi)，后(hou)(hou)(hou)(hou)(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)加之(zhi)(zhi)。时(shi)(shi)(shi)(shi)差(cha)值(zhi)加者(zhe)(zhe)，先(xian)(xian)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)加之(zhi)(zhi)，后(hou)(hou)(hou)(hou)(hou)交(jiao)(jiao)(jiao)(jiao)(jiao)(jiao)减(jian)(jian)之(zhi)(zhi)。不(bu)足减(jian)(jian)者(zhe)(zhe)，皆既。十(shi)(shi)(shi)(shi)五乘之(zhi)(zhi)，定(ding)法而一(yi)，以(yi)(yi)减(jian)(jian)十(shi)(shi)(shi)(shi)五，余为日(ri)(ri)蚀分(fen)(fen)。
置日月蚀(shi)分(fen)，四已下，因增(zeng)(zeng)二(er)；五(wu)已下，因增(zeng)(zeng)三；六已上，因增(zeng)(zeng)五(wu)；各为刻(ke)(ke)率，副之(zhi)。以(yi)乘(cheng)所入历损益(yi)率，四千(qian)五(wu)十七(qi)为法而一。值(zhi)(zhi)盈，反其损益(yi)；值(zhi)(zhi)缩，依其损益(yi)。皆损益(yi)其副，为定(ding)用刻(ke)(ke)。乃六乘(cheng)之(zhi)，十而一，以(yi)减蚀(shi)甚辰刻(ke)(ke)，为亏初(chu)。又四乘(cheng)之(zhi)，十而一。以(yi)加食甚辰刻(ke)(ke)，为复满。
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