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卷三十一(3/3)

度,即五星诸段盈缩定差。

求五星平合及诸变定积:各置其星其变中积,以其段盈缩定差盈加缩减之,即其段定积日及分。以天正冬至大余及约分加之,满统法去之,不尽,命甲子,算外,即定日辰及分。

求五星诸变入所在月日:各置其星其变定积,以天正闰日及约分加之,满朔策及约分除之为月数,不尽,为入月已来日数。命月数起天正十一月,算外,即其星其段入其月经朔日数及分。乃以其朔日、辰相距,即所在月、日。

求五星平合及诸变加时定星:各置其星其变中星,以盈缩定差盈加缩减之,内金倍之,水三之,然后加减,即五星诸段定星。以天正冬至加时黄道日度加时命之,即其星其段加时所在宿度及分秒。(五星皆因留为后段初日定星,余依术算。)

求五星诸变初日晨前夜半定星:各以其段初行率乘其段加时分,百约之,以顺减退加其日加时定星,即为其星其段初日晨前夜半定星。加命如前,即得所求。

求诸变日率度率:各以其段日辰距至后段日辰为其段日率;以其段夜半定星与后段夜半定星相减,余为其段度率。

求诸变平行分:各置其段度率,以其段日率除之,为其段平行度及分秒。

求诸变总差:各以其段平行分与后段平行分相减,余为泛差。并前段泛差,四因,退一位,为总差。若前段无平行分相减为泛差者,因后段初日行分与其段平行分相减,为半总差,倍之,为总差。若后段无平行分相减为泛差者,因前段末日行分与其段平行分相减,为半总差,倍之,为总差。其在再行者,以本段平行分十四乘之,十五而一,为总差。内金星依顺段术求之。

求初末日行分:各半其段总差,加减其段平行分,(后行分少,加之为初,减之为末;后行分多,减之为初,加之为末。退行者,前段减之为初,加之为末;后段加之为初,减之为末。)为其星其段初、末日行分。

求每日晨前夜半星行宿次:置其段总差,减日率一以除之,为日差;累损益初日行分,(后行分少,损之;后行分多,益之。)为每日行度及分秒;乃顺加退减其星其段初日晨前夜半定星,命之,即每日夜半星行所在宿次。

径求其日宿次:置所求日,减一,半之,以日差乘而加减初日行分,(后行分少,减之;后行分多,加之算。)以所求日乘之,为积度;以顺加退减其星其段初日夜半宿次,即所求日夜半宿次。

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