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又中朔小余,与半法相减之,余以加减中朔加时入转,(中朔少如半法,加之;多如半法,减之。

)为中朔午中入转。

若定朔大余有进退者,亦加减转日,否则因中为定,每日累加一日,满转终日及余秒,去命如前,各得每日夜半午中入转。

(求夜半,因定朔夜半入转累加之;求午中,因定朔午中入转累加之;求加时入转者,如求加时入气之术法。

求加时及夜半月度

置其日入转算外转定分,以定朔弦望小余乘之,如日法而)

求晨昏月度

置其日晨分,乘其日算外转定分,日法而一,为晨转分;用减转定分,余为昏转分。

又以朔望定小余,乘转定分,日法而一,为加时分,以减晨昏转分,为前;不足,覆减之,为后;乃前加后减加时月度,即晨昏月度所在宿度及分秒。

求朔弦望晨昏定程

各以其朔昏定月减上弦昏定月,余为朔后昏定程。

以上弦昏定月,减望昏定月,余为上弦后昏定程。

以望晨定月,减下弦晨定月,余为望后晨定程。

以下弦晨定月,减后朔晨定月,余为下弦后晨定程。

求每日转定度

累计每定程相距日下转积度,与晨昏定程相减,余以相距日数除之,为日差;(定程多,加之;定程少,减之。

)以加减每日转定分,为转定度;因朔弦望晨昏月,每日累加之,满宿次去之,为每日晨昏月度及分秒。

(凡注历,朔日已后注昏月,望后一日注晨月。

)古历有九道月度,其数虽繁,亦难削去,具其术。

求正交日辰

置交终日及余秒,以其月经朔加时入交泛日及余秒减之,余为平交入其月经朔加时后日算及余秒;(中朔同。

)以加其月中朔大小余,其大余命壬戌算外,即得平交日辰及余秒。

(求次交者,以交终日及余秒加之,如大余满纪法,去之,命如前,即得次平交日辰及余秒也。

求平交入转朓朒定数

置平交小余,加其日夜半入转,余以乘其日损益率,日法而一,所得,以损益其日下朓朒积,为定数。

求平交日辰

置平交小余,以平交入转朓朒定数朓减朒加之,满与不足,进退日辰,即得正交日辰及余秒;与定朔日辰相距,即得所在月日。

求中朔加时中积

各以其月中朔加时入气日及余,加其气中积及余,其日命为度,其余,以日法退除为分秒,即其月中朔加时中积度及分秒。

求正交加时黄道月度

置平交入中朔加时后日算及余秒,以日法通日内余进二位,如三万九千一百二十一为度,不满,退除为分秒,以加其月中朔加时中积,然后以冬至加时黄道日度加而命之,即得其月正交加时月离黄道宿度及分秒。

如求次交者,以交中度及分秒加而命之,即得所求。

求黄道宿积度

置正交加时黄道宿全度,以正交加时月离黄道宿度及分秒减之,余为距后度及分秒;以黄道宿度累加之,即各得正交后黄道宿积度及分秒。

求黄道宿积度入初末限

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