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置冬至距正交积度及分,在半岁周已下,为冬至后;已上,去之,为夏至后。

其二至后,在象限已下,为初限,已上,减去半岁周,为末限。

求定差距差定限度

置初末限度,以十四度六十六分乘之,如象限而一,为定差;反减十四度六十六分,余为距差。

以二十四乘定差,如十四度六十六分而一;所得,交在冬至后名减,夏至后名加,皆加减九十八度,为定限度及分秒。

求四正赤道宿度

置冬至加时赤道度,命为冬至正度;以象限累加之,各得春分、夏至、秋分正积度;各命赤道宿次去之,为四正赤道宿度及分秒。

求月离赤道正交宿度

以距差加减春秋二正赤道宿度,为月离赤道正交宿度及分秒。

冬至后,初限加,末限减,视春正;夏至后,初限减,末限加,视秋正。

求正交后赤道积度入初末限

各置春秋二正赤道所当宿全度及分,以月离赤道正交宿度及分减之,余为正交后积度;以赤道宿次累加之,满象限去之,为半交后;又去之,为中交后;再去之,为半交后;视各交积度在半象已下,为初限;已上,用减象限,余为末限。

求月离赤道正交后半交白道)旧名九道出入赤道内外度及定差置各交定差度及分,以二十五乘之,如六十一而一;所得,视月离黄道正交在冬至后宿度为减,夏至后宿度为加,皆加减二十三度九十分,为月离赤道后半交白道出入赤道内外度及分;以周天六之一,六十度八十七分六十二秒半,除之,为定差。

)月离赤道正交后为外,中交后为内。

求月离出入赤道内外白道去极度

置每日月离赤道交后初末限,用减象限,余为白道积;用其积度减之,余以其差率乘之;所得,百约之,以加其下积差,为每日积差;用减周天六之一,余以定差乘之,为每日月离赤道内外度;内减外加象限,为每日月离白道去极度及分秒。

求每交月离白道积度及宿次

置定限度,与初末限相减相乘,退位为分,为定差;正(交、中交后为加,半交后为减。

)以差加减正交后赤道积度,为月离白道定积度;以前宿白道定积度减之,各得月离白道宿次及分。

推定朔弦望加时月离白道宿度

各以月离赤道正交宿度距所求定朔弦望加时月离赤道宿度,为正交后积度;满象限,去之,为半交后;又去之,为中交后;再去之,为半交后;视交后积度在半象已下,为初限;已上,用减象限,为末限;以初末限与定限度相减相乘,退位为分,分满百为度,为定差;)正交中交后为加,半交后为减。

以差加减月离赤道正交后积度,为定积度,以正交宿度加之,以其所当月离白道宿次去之,各得定朔弦望加时月离白道宿度及分秒。

求定朔弦望加时及夜半晨昏入转

置经朔弦望入转日及分,以定朔弦望加减差加减之,为定朔弦望加时入转;以定朔弦望日下分减之,为夜半入转;以晨分加之,为晨转;昏分加之,为昏转。

求夜半月度

置定朔弦望日下分,以其入转日转定度乘之,万约为加时转度,以减加时定积度,余为夜半定积度;依前加而命之,各得夜半月离宿度及分秒。

求晨昏月度

置其日晨昏分,以夜半入转日转定度乘之,万约为晨昏转度;各加夜半定积度,为晨昏定积度;加命如前,各得晨昏月离宿度及分秒。

求每日晨昏月离白道宿次

累计相距日数转定度,为转积度;与定朔弦望晨昏宿次前后相距度相减,余以相距日数除之,为日差;)距度多为加,距度少为减。

以加减每日转定度,为行定度;以累加定朔弦望晨昏月度,加命如前,即每日晨昏月离白道宿次。

朔后用晨,望后用昏,朔望晨昏俱用。

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