File:NDL1105421 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
東京高等工商学校
image of artwork listed in title parameter on this page
Title
高等三角法
Publisher
有文閣
Language jpn
Publication date

1928

昭和3
Place of publication JP
Source

doi:10.11501/1105421

institution QS:P195,Q477675
Creator
InfoField
東京高等工商学校 編
Publication Place
InfoField
東京
Subject: NDC
InfoField
416
Extent
InfoField
156p ; 19cm
Material Type
InfoField
Book
Source Identifier: JPNO
InfoField
44049085
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
000000646216
Call Number
InfoField
特216-661
Creator: NDLNAId
InfoField
00266673
Contents
InfoField
標題

目次

第一章 弧度法

角ヲ測ルニ二法アリ/1

格段ナル角ノ弧度數/2

問題1(1―8)/3

第二章 鋭角ノ三角函數

角ノ單位/5

鋭角ノ三角凾數/5

45゜ノ三角凾數ノ値/7

60゜及ビ30゜ノ三角凾數ノ値/8

餘角ノ三角凾數/9

同一角ノ三角凾數ノ關係/9

一ツノ三角凾數ヲ與ヘテ他ヲ求ムルコト/11

問題2(1―10)/13

第三章 一般ノ角ノ三角函數

一般ノ角/16

一般ノ角ノ三角凾數/18

同一角ノ三角凾數ノ關係/20

三角凾数ノ値ノ變動/22

360゜n+θノ三角凾數/30

(-θ)ノ三角凾數/30

90゜+θノ三角凾數/31

180゜+θノ三角凾數/33

任意ノ角ノ三角凾數ヲ0゜ト45゜トノ間ノ角ノ三角凾數ニ直スコト/34

問題3(1―8)/35

第四章 合成角及分角ノ三角函數

sin及ビcosineノ加法定理/37

tangent,ノ加法定理/39

二倍角ノ三角凾數/40

半角ノ三角凾數/41

三角凾數ノ和ヲ積ニ、又積ヲ和ニ直スコト/42

問題4(1―15)/44

第五章 三角方程式

sinθ=Kヲ滿足スル角ヲ求ムルコト/46

cesθ=Kヲ滿足スル角ヲ求ムルコト/47

tanθ=Kヲ滿足スル角ヲ求ムルコト/49

問題5(1―12)/50

第六章 三角形ノ邊ト角トノ關係

正弦比例/52

餘弦比例/53

三角形ニ於ケル差角公式/55

三角形ノ半角公式/56

三角形ノ面積ノ公式/58

問題6(1―13)/59

第七章 特別ナル角ノ三角函數

15゜ノ角ノ三角凾數/62

18゜ノ三角凾數/63

36゜ノ三角凾數/64

54゜及ビ72゜ノ三角凾數/64

9゜及ビ81゜ノ三角凾數/64

特殊ナル角ノ三角凾數/65

問題7(1―6)/66

第八章 對數

定義/67

對數ノ基本的定理/67

常用對數ノ性質/70

假數ト指標/71

對數表/73

問題8(1―7)/76

第九章 三角形ノ解法

三角形ノ解法/78

斜邊及ビ一ツノ鋭角ヲ知リテ直角三角形ヲ解ク方法/78

斜邊及ビ他ノ一邊ヲ知リテ直角三角形ヲ解クコト/79

二邊ヲ知リテ直角三角形ヲ解クコト/81

一邊及ビ一鋭角ヲ知リテ直角三角形ヲ解クコト/82

三邊ヲ知リテ三角形ヲ解クコト/84

二角及ビ一邊ヲ知リテ三角形ヲ解クコト/87

二邊及ビ夾角ヲ知リテ三角形ヲ解クコト/88

二邊及ビ其一ニ對スル角ヲ知リテ三角形ヲ解クコト/90

二次方程式ノ定理ニヨリテ吟味スルコト/95

一二ノ問題ノ考究スベシ/96

問題9(1―10)/100

第十章 三角法ノ測量應用

二點間ノ距離(其一)/102

二點間ノ距離(其二)/103

近ツクベカラザル塔ノ高サ/104

山ノ高サ/105

二三ノ例解/105

問題10(1―11)/110

第十一章 逆三角函數

逆三角凾數ノ意義/113

三角凾數ハ週期函數ナルガ故ニ其逆三角凾數ハ凡テ多値凾數ナリ/114

逆三角凾數相互ノ關係/116

例題/117

問題11(1―11)/121

第十二章 三角級數ノ和

等差級數ヲナス角ノ正弦ノ和/123

等差級數ヲナス角ノ餘弦ノ和/124

等差級數ヲナス角ノ餘割ノ和/128

二三ノ例題/128

問題12(1―7)/131

附録 三角函數ノ應用

平面三角形/133

球面三角形/135

極三角形及對稱三角形/136

球面直角三角形/138

一般三角形/141

球面三角形ノ面積/143

應用雜例/145

問題13(1―5)/147

答/149

公式表/153

Licensing

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