File:NDL1054246 高等三角法.pdf

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高等三角法   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
東京高等工学校
image of artwork listed in title parameter on this page
Title
高等三角法
Publisher
有文閣
Language jpn
Publication date

1931

昭和6
Place of publication JP
Source

doi:10.11501/1054246

institution QS:P195,Q477675
Creator
InfoField
東京高等工学校 編
Publication Place
InfoField
東京
Subject: NDC
InfoField
416
Extent
InfoField
148, 18p ; 19cm
Material Type
InfoField
Book
Source Identifier: JPNO
InfoField
44051470
Date Digitized: W3CDTF
InfoField
2010-03-31
Audience
InfoField
一般
Title Transcription
InfoField
コウトウ サンカクホウ
Publisher Transcription
InfoField
ユウブンカク
Source Identifier: NDLBibID
InfoField
000000648167
Call Number
InfoField
特231-46
Creator: NDLNAId
InfoField
00260351
Contents
InfoField
標題

目次

第一章 角ノ測定法/1

1. 六十分法/1

2. 弧度法/1

第二章 鋭角ノ三角函數/7

1. 三角函數ノ定義/7

2. 三角函數ノ基礎ノ關係/8

3. 特別ナル角ノ三角函數/11

4. 餘角ノ三角函數/15

第三章 一般角ノ三角函數/17

1. 正角及ビ負角/17

2. 直線ノ方向/17

3. 一般角ノ三角函數/18

4. 三角函數ノ符號/20

5. 三角函數ノ値ノ變化/21

6. 三角函數ノ週期/23

7. 負角ノ三角函數/25

8. 90°-θノ三角函數/27

9. 80°+θノ三角函數/28

10. 180°-θノ三角函數/28

第四章 二角ノ和又ハ差ノ三角函數/30

1. 加法定理/30

2. 減法定理/32

3. 積ヲ和又ハ差ニテ表ハス公式/33

4. 和又ハ差ヲ積ニテ表ハス公式/35

第五章 倍角及ビ分角ノ三角函數/37

1. 二倍角ノ三角函數/37

2. 三倍角ノ三角函數/38

3. 半角ニテ表ハス公式/38

4. A/2ノ三角函數ヲcosAニテ表ハス公式/39

5. A/2ノ三角函數ヲsinAニテ表ハス公式/40

第六章 三角ノ和ノ三角函數/43

1. 三角ノ和ノ三角函數/43

2. 三倍角ノ三角函數/44

3. 三角形ノ三角ニ關スル恒等式/44

第七章 三角形ノ性質/47

1. 正弦ノ法則/47

2. 餘弦ノ法則/49

3. 三角形ノ解法/51

4. 正切ノ法則/53

5. 半角及ビ邊ノ關係/55

6. 三角形ノ面積/57

第八章 三角形ノ解法/60

1. 對數/60

2. 對數ノ性質/60

3. 三角形ノ解法(對數使用)/62

4. 三角形ノ面積/65

第九章 反三角函數/68

1. 同ジ正弦ヲ有スル總テノ角/68

2. 同ジ餘弦ヲ有スル總テノ角/70

3. 同ジ正切ヲ有スル總テノ角/71

4. 三角方程式/72

5. 消去法/74

6. 反三角函數/76

第十章 ど・もあぶるノ定理/81

1. 複素數ノ圖示/81

2. ど・もあぶるノ定理/82

3, 複素數ノn羃根/85

4. sinnθ及ビcosnθノ展開/88

5. 三次方程式ノ解法/90

6. 三角函數/92

附録(第一) 測量問題

1. 三角形ノ解法ニ歸スル問題/96

2. 三角測量/97

3. 速度ノ合成/99

4. 航海用羅針盤/101

附録(第二) 球面三角法

第一章 球面三角形/103

1. 二面角,三面角/103

2. 球面上ノ二點ノ距離/104

3. 球面角/105

4. 球面三角形/107

5. 極三角形/109

6. 月形及ビ球面三角形ノ面積/111

第二章 球面三角形ノ邊ト角トノ關係/114

1. 餘弦法則/114

2. 正弦法則/118

3. 正切ノ法則/119

4. ねぴーあノ比例式/120

第三章 直角球面三角形/125

1. 直角球面三角形ニ關スル公式/125

2. 種類ノ法則/128

3. 直角球面三角形ノ解法/128

4. 象限三角組/131

第四章 一般球面三角形ノ解法/133

1. 一般球面三角形ノ解法/133

2. 三邊a,b,cガ與ヘラレタル場合/133

3. 三角A,Bガ與ヘラレタル場合/135

4. 二邊ト夾角a,b,cガ與ヘラレタル場合/137

5. 一邊ト其兩端ノ二角,例ヘバA,B,cガ與ヘラレタル場合/140

6. 二邊ト其一對角,例ヘバa,b,Aガ與ヘラレタル場合/142

7. 二角ト其一對邊,例ヘバA,B,aガ與ヘラレタル場合/145

表.三角函數ノ眞數・三角函數ノ對數・數ノ對數

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