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常识“弧三角举要”是什么意思,起源、典故、生平简介及释义-历史文化

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词汇 弧三角举要
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释义 弧三角举要书名。清梅文鼎著。五卷。康熙二十三年(1684)成书。球面三角形在梅氏书中被称为弧三角形。是书讨论球面三角形解法。是中国首部系统介绍球面三角法知识的专书。卷一“弧三角势”,略述关于球面三角形的几何定理和它在球面天文学上的应用;卷二“正弧三角形”,论直角球面三角形的解法,列举了六个表示二边夹一角的关系式。卷三“垂弧法”,过球面三角形一个角的顶点作大圆弧与对边成直角,该大圆弧称为垂弧,利用垂弧可分斜三角形为两个直角三角形或补成两个直角三角形。已知斜边三角形二边一角或二角一边,求余边余角,可适当利用垂弧,用直角三角形解法解决。卷四“次形法”,讨论其性质和解法。卷五“八线相当法”,讨论简单三角函数列成四率比例的各种形式,以备运用球面三角法时参考。有《勿庵历算全书》、《梅氏丛书辑要》等刻本。
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