节气时刻
御定星历考原 · section 9 · 李光地 等 奉敕撰 · 659 characters
Original text
一岁之内日一周天厯十有二宫其交每宫十五度者为节其交每宫初度者为气然七政之行起于子正有今日子正尚未交而明日子正已过者则以三率之术求之而知其为某时刻也但地之经度不同故京师为午正者自东方视之则已过矣自西方视之则犹未及也是以在东者交节晚在西者交节早东西不同时刻亦异故各省节气时刻皆以地之经度而定焉
晨昏朦景 日体光大未岀之前已入之后距地平十八度以内皆有光是为朦景然以算术推之则十八度一也而各时各处时刻不同各时不同者天度使然也葢赤道当天之腰其度阔自赤道而南北渐逺则渐狭故近二分者朦景为时少近二至者朦景为时多也各处不同者地势使然也近赤道则日行直直则径近二极则日行斜斜则纡故愈北则朦景为时愈多愈南则朦景为时愈少也然地体浑圆人之所处如在球面四边卑而中髙故日出入于正东西者其朦景短春秋分日岀卯入酉晨昏朦景各六刻五分然其在地平下十八度犹斜向北也惟日道在地平下九度与卯酉圏相交者则在地平居卯酉圏之南在地平下十八度居卯酉圏之北皆正当球面之最高故京师朦景最短之日一在惊蛰一在寒露晨昏各六刻四分其术则半径与赤道距天顶正之比同于九度正与距纬正之比也冬至日岀入偏南其地面卑故晨昏朦景各六刻十三分是为较长然其在地平下十八度则犹斜向正东西也既斜向正东西则犹当地平之高处故虽长于春秋分而犹不甚长也若夏至则岀入皆已偏北其在地平下十八度益斜向北故晨昏朦景各八刻八分是为最长若地愈北极愈高日行愈斜则夏且有昼而无夜更不特长而已赤道之下则赤道即卯酉圏日行直而度阔故二分之日朦景最短止四刻十二分赤道以南与是相反此天度地势之分兼以地球南北之异所以朦景之时刻有随时随地之不同也
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