File:NLC416-13jh009197-62206 漢譯葛氏平面三角學.pdf

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漢譯葛氏平面三角學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
〔(美〕格蘭維爾](W. A. Granville)原著
image of artwork listed in title parameter on this page
Title
漢譯葛氏平面三角學
Publisher
華北科學社
Description

書末附：對數表

目錄
第一章 銳角三角函數，直角三角解法
1 銳角三角函數之定義
2 45°，50°，60°，之各函數
3 直角三角形之解法
4 解直角三角形之普通方法
5 等腰三角形之解法
6 有法多邊形之解法
7 插入法
8 三角問題通用之名詞
第二章 任意角之三角函數
9 角之生成
10 正負角
11 任意角之大小
12 四象限
13 平面上一點之坐標
14 點與圓點之距離
15 任意三角函數之定義
16 三角函數之對數符號
17 已知三角函數之值，求合於已知之各角，及其於各函數值
18 試以一三角函數表示共於之五函數
19 三角函數之直線定義
20 函數值依角度而變化
21 角制
22 弧角制
23 化三角函數為銳角函數
24 餘角函數
25 第二象限內各角函數之化法
26 第三象限內各角函數之化法
27 第四象限內各角函數之化法
28 負角函數之化法
29 化任意角之函數為銳角函數之總定則
第三章 三角函數相互之關係
30 函數相互之基本關係
31 一函數以其餘五函數表示
第四章 三角分析
32 兩角和及差之函數
33 兩角和之正弦及餘弦
34 兩角差之正弦及餘弦
35 兩角和差之正切及餘切
36 用角之函數表其二倍之諸函數
37 倍角之函數
38 一角之兩數以其半角之函數表示
39 角之餘弦表其半角之函數
40 函數之和及差
41 三角恆等式
第五章 角之一般值，反三角函數，三角方程
42 角之一般值
43 同正弦或同餘割之角之一般值
44 同餘弦或同正割之角之一般值
45 同正切或同餘切之兒之一般值
46 反三角函數
47 三角方程
48 解三角方程普通法則
第六章 三角函數之圖解
49 變數
50 常數
51 函數
52 函數之圖形
53 三角函數之圖形
54 三角函數之周期
55 應用單位圖畫三角函數之圖形
第七章 斜三角形之解法
56 三角形邊與角之關係
57 正弦定律
58 兩可之情形
59 餘弦定律
60 正切定律
61 三角形之半角函數以邊表示之公式
62 斜三解形面積之公式
第八章 對數之理論及應用
63 三角學上對數之需要
64 對數之性質
65 常用對數
66 決定對數位標之法則
67 對數表
68 由第一表查對數法
69 求已知對數之相當真數
70 對數在計算上之應用
71 余對數
72 對數之底變換
73 指數方程
74 三角函數對數表示之用法
75 第二表pp.8-16之用法
76 求一角之某函數之對數，當此角以度及分表出時，則用以下法則
77 已知某函數對數而求其相當銳角之度分數
78 第三表pp.20-37之用法已知或所求之角表以度及度之小數表之者
79 求一角之函數之對數
80 已知某函數對數而反求其相當銳角之度數及度之小數值
81 用對數解直角三角形
82 用對數解斜角三角形
83 用對數求斜三角形之面積
84 陸地面積測量
85 平行航行
86 平面航行
87 中緯航海
第九章 近於0°或90°之銳角
88 若角x以弧度表之，當其漸近於零為極限，則〓，〓比漸近於1為極限
89 近於0°或90°之正銳角之函數
90 求近於0°之銳角函數之法則
91 求近於90°銳角函數之法則
92 求近於0°及90°各角之函數之對數之法則
93 相稱測量與計算
第十章 公式集要

Language Chinese
Publication date 民國二十四年[1935]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/O124.1/9
主題
InfoField
平面三角
中圖分類
InfoField
G634.64
載體形態
InfoField
240,38頁

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