File:NLC416-14jh007880-69658 平面三角法.pdf

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平面三角法   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
胡仁源編
image of artwork listed in title parameter on this page
Title
平面三角法
Publisher
中華書局[發行者]
Description

附：三角反函數

目錄
第一章 角度
1 角度制
2 六十分度與弧度換算之式
3 六十分度與百分度換算之式
4 弧度與百分度換算之式
第二章 銳角之三角函數
5 四象限之內
6 以兩數之比表三角函數
7 以直線表三角函數
8 三角函數相互之關係
9 證恆等式之例
10 餘角之三角函數
11 45°角之三函數
12 30°，60°角之三角函數
13 解方程式之例
第三章 直角三角形之解法及應用
14 解三角形
15 三角函數表之用法
16 角度與函數互求之例
17 解直角三角形之公式
18 直角三角形解法
19 測高及距離之各名詞
20 解應用問題之例
第四章 劣角之三角函數
21 直線之方向
22 點之位置
23 任意角之大小
24 任意角之正負
25 劣角之三角函數
26 三角函數之正負
27 無窮大之意義
28 0°，90°角之三角函數
29 -x及x兩角各三角函數之關係
30 90°-x及x兩角各三角函數之關係
31 90°+x及x兩角各三角函數之關係
32 180°-x及x兩角各三角函數之關係
33 求等值正銳角函數之例
第五章 兩角和及差之三角函數
34 兩角和之正弦及餘弦
35 兩角差之正弦及餘弦
36 兩角和及差之正弦或餘弦之乘積
37 兩角正弦或餘弦之和及差
38 兩角和或差之正切及餘切
39 求函數及證恆等式之例
第六章 倍角及半角之三角函數
40 二倍角之函數
41 半年之函數
42 三倍角之函數
43 證恆等式及解方程式之例
第七章 任意三角形之性質
44 三角形之內角各三角函數之關係
45 證恆等式之例
46 三角形各邊與其對角正弦之關係
47 三角形三邊與其各角餘弦之關係
48 三角形之一邊與餘二邊及餘二邊對角餘弦之關係
49 三角形三邊與其各半角之正弦餘弦正切之關係
50 三角形三邊與其各角正弦之關係
51 三角形二邊之和及差與其對角半和正切及半差正切之關係
52 三角形面積之式
53 三角形內接圓半徑之式
54 三角形外接圓半徑之式
55 三角形旁接圓半徑之式
第八章 任意三角形之解法及應用
56 凡三角形均由三邊三角之量而成已知一邊及其餘任意兩量即可算出未知各量
57 知一邊及兩角之三角形解法
58 知兩邊及一對角之三角形解法
59 知兩邊之夾角之三角形解法
60 知三邊之三角形解法
61 應用三角形解法以測高及距離
附錄 三角反函數
1 三角反函數
2 三角函數與反函數之關係
3 證恆等式之例
【附】 三角函數真數表
三角函數對數表
對數表

Language Chinese
Publication date 民國十二年[1923]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.64/12
主題
InfoField
平面三角
中圖分類
InfoField
G634.64
載體形態
InfoField
74,24頁

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