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File:NLC416-08jh000507-79368 平面三角法講義.pdf

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平面三角法講義   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
匡文濤編纂
image of artwork listed in title parameter on this page
Title
平面三角法講義
Publisher
商務印書館[發行者]
Description

目錄
第一編 角之測法
三角法
角之測法
六十分法
單位圓
圓周
圓之面積
π之值
半徑角
弧度法
例題一及解
第二編 銳角之三角函數
三角函數之定義
三角函數相互之關係
例題二及解
第三編 任意角之三角函數
直線之正負
象限
三角函數之一般定義
各象限內之三角函數值
三角函數之正負及界限
負角
負角之三角函數
任意角之三角函數
餘角之公式
負角之餘角
補角之公式
負角之補角
餘角及補角之應用
弧度法之公式
周期
三角函數之圓形
正弦之圓形
餘弦之圓形
正切之圓形
餘切之圓形
正割及餘割之圓形
例題三及解
第四編 兩角之三角函數
和及差角之正餘弦公式
和及差角及正餘切
和差及積之正餘弦
二倍角之三角函數
三倍角之三角函數
例題四及解
第五編 三角之和
三角之和，正弦餘弦正切之公式
三倍角之注意
例題五及解
第六編 特別角之三角函數值
四十五度及三十度之三角函數值
三角函數值之表
例題六及解
公角之公式
例題七及解
第七編 方程式
方程式
第一例及第二例
例題八及解
第八編 消去法
消去法
例題自第一至第三，十文字法
例題九及解
第九編 三角反函數
三角反函數
反函數記法之注意
例題十及解
反函數之方程式
例題十一及解
第十編 極限
極限
定理一
推論一
推論二
定理二
定理三
定理四
定理五
π之界限
正餘弦及正切之第一略近值
同第二略近值
同第三略近值
例題十二及解
一般角之三角函數值
秒之弧度及正弦
若干秒之正弦值
餘論
例題十三及解
第十一編 對數及對數及數
對數之性質
常用對數
指數對數
訥氏對數之級數
常用對數之級數
例題十四及解
比例差
三角函數之比例差
三角函數值
例題十五及解
對數表用法
既知對數
三角函數之對數表
例題十六及解
第十二編 三角形邊及角之關係
三角形之邊及角
直角三角形之公式
三角形之公式
例題十七及解
第十三編 三角形之解法
三角形之解法
直角三角形之真數計算
例題十八及解
直角三角形之對數計算
例題十九及解
三角形之真數計算
兩意之式
例題二十及解
三角形之對數計算
例題二十一及解
第十四編 高及距離之測量
高及距離
物體之高
山之高
三點問題
物體之角
羅盤針
例題二十二及解
第十五編 三角形之性質
外切原
內切圓
傍切圓
例題二十三及解
幾何學上之應用
三角形之垂線
三角形之中央線
補題
三角形之類似重心
類似中央線
定理
垂足三角形
四角形之面積
園之內接四角形
正多角形
園之面積
例題二十四及解
第十六編 棣美弗氏之定理
棣美弗氏之定理
例題二十五及解
諸角之三角函數
和及積之記號
諸角正餘弦及正切
例題二十六及解
倍角之三角函數
倍角之正餘弦
斂級數
補遺
例題二十七及解
方根
例題二十八及解
指數
三角函數之指數值
虛數及指數之比較
周期函數
例題二十九及解
反函數
嘎勒哥里氏，尤拉氏，莫希氏之級數
例題三十及解
第十七編 級數之和
等差級數之諸角
方程級數
指數之應用
例題三十一及解
第十八編 三角函數之因子
第一，第二，第三，第四
例題三十二及解
第十九編 代數函數之方程式
二次方程式
三次方程式
例題三十三及解
因子之應用
例題三十四及解

Language Chinese
Publication date 民國10[1921]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
51.241/07
主題
InfoField
平面三角
中圖分類
InfoField
G634.64
載體形態
InfoField
526頁

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