File:NLC416-14jh007900-69978 葛·斯·密·平面三角學.pdf

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葛·斯·密·平面三角學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
〔美〕葛蘭維爾(W. A. Granville)原著
image of artwork listed in title parameter on this page
Title
葛·斯·密·平面三角學
Publisher
中華書局[發行者]
Description

附：四位數值表

目錄
第一章 三角函數
1 三角學
2 變數；常數
3 函數
4 銳角之三角函數
5 45°，30°，60°之函數
6 作圖；量角器
7 三角函數之數值表
8 角之產生
9 正角與負角
10 任何量之角
11 四象限
12 平面內一點之直坐標
13 任意角三角函數之定義
14 三角函數之代數符號
15 應用
16 以一三角函數表其餘五三角函數
第二章 基本關係式；減角公式
17 基本關係式
18 任一函數以其他五函數之每個表之
19 一數被零所除；無窮數
20 0°，90°，180°，及270°等角之函數
21 角之量度
22 弧制
23 化三角函數為銳角之函數
24 餘角之函數
25 第二象限內角之減角公式
26 第三象限內角之減角公式
27 第四象限內角之減角公式
28 負角函數之化法
29 化任意角兩數為銳角函數之總則
第三章 線值定義及圖解
30 三角函數之線值定義
31 變角之函數變值
32 函數之圖形
33 三角函數之圖形
34 三角函數之周期性
35 用單位圖作三角函數之圖形
第四章 應用
36 本章之目的；近似值之計算
37 根據直角三角形之習題
38 正弦及餘弦之數值表；補插法
39 正切及餘切之數值表
40 三角問題內常用之名詞
41 斜三角形之解法
42 正弦定律
43 已知兩邊及一對角之疑款
44 正切定律
45 餘弦定律
46 以三角形之邊表其半角之三角函數
47 求斜三角形面積之公式
48 結論
第五章 對數之理論及應用
49 對數在三角學上之需要
50 對數性質之定理
51 常用對數系
52 定常用對數定位部之規則
53 對數表
54 求一已知數之對數法
55 求與一已知對數相當之數
56 對數在計算上之應用
57 余對數
58 對數底之變換
59 指數方程式
60 三角函數對數表之用法
61 表ⅱ之用法，其已知角或所求角皆以度及分表示者
62 以度及分表示一角時間，求其函數之對數法
63 已知一角函數之對數求此角之度及分數
64 表iii之用法，其已知角或所求角以度及度之小數部份表示者
65 對數在解直角三角形上之應用
66 對數在解斜三角形上之應用
67 應用對數求斜三角形之面積
68 陸地面積之測量
69 平行航海
70 平面航海
71 中緯航海
第六章 三角分析
72 兩角和及差之函數
73 兩角和之正弦及餘弦
74 兩角差之正弦及餘弦
75 兩角和及差之正切及餘切
76 以一角之函數表其二倍角之函數
77 倍角之函數
78 以半角之函數表其一角之函數
79 以一角之餘弦表其半角之函數
80 函數之和及差
81 三角恆等式
82 三角方程式
83 解三角方程式之通則
84 已知一函數，求其角之通式
85 反三角函數
第七章 近於0°或90°之銳角
86 定理
87 近於0°及90°諸正銳角之函數
88 求近於0°諸銳角函數之規則
89 求近於90°諸銳角函數之規則
90 求近於0°及90°諸角函數之對數之規則
第八章 公式摘要
平面三角學中之公式
直角三角形
函數間之基本關係式
正弦定律
正切定律
餘弦定律
以三角形之邊表其半角之函數
三角形之面積
兩角和及差之函數
二倍角之函數
以半角之函數表其一角之函數
半角之函數
函數之和及差
索引
﹝附錄﹞ 四位數值表
表ⅰ
自然數之對數
求近於0及90諸角三角函數之對數之規則
表ⅱ
三角函數之對數，其角度以度及分數表示者
角量變化表
表ⅲ
三角函數之對數，其角度以度之小數部份表示者
表ⅳ
正弦及餘弦之自然值
表ⅴ
正切及餘切之自然值

Language Chinese
Publication date 民國二十九年[1940]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.64/20
主題
InfoField
平面三角
中圖分類
InfoField
G634.64
載體形態
InfoField
272,44頁

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