File:NDL1076653 高等平面三角法 part1.pdf

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高等平面三角法   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
山崎, 栄作, 1887-1957
image of artwork listed in title parameter on this page
Title
高等平面三角法
Publisher
高岡書店
Description
附録: 対数表付
Language jpn
Publication date

1927

昭和2
Place of publication JP
Source

doi:10.11501/1076653

institution QS:P195,Q477675
Creator
InfoField
山崎栄作 著
Publication Place
InfoField
東京
Subject: NDC
InfoField
416 415.2
Extent
InfoField
243p (以下欠頁) ; 22cm
Material Type
InfoField
Book
Source Identifier: JPNO
InfoField
47007727
Date Digitized: W3CDTF
InfoField
2010-03-31
Audience
InfoField
一般
Title Transcription
InfoField
コウトウ ヘイメン サンカクホウ
Publisher Transcription
InfoField
タカオカ ショテン
Source Identifier: NDLBibID
InfoField
000000761409
Call Number
InfoField
415.2-Y48ウ
Creator Transcription: NDLNA
InfoField
ヤマザキ, エイサク
Creator: NDLNAId
InfoField
00094583
Contents
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目次

第一章 緒論

角/1

象眼/2

測角法/3

英國法ト弧度法トノ關係/5

例解/6

問題1(1-15)/7

第二章 三角函數

三角函數/8

定義ヨリ直チニ知ラル、諸公式/9

45°ノ角ノ三角函數/10

30°及ビ60°ノ角ノ三角函數/10

例解/11

問題2(1-8)/12

第三章 正弦函數ト餘弦凾數

正弦函數ト餘弦函數トノ性質/14

正弦函數ト餘弦函數ノ値ノ變化/17

例解/19

問題3(1-7)/20

第四章 正切函數ト餘切凾數

正切凾數ト餘切函數トノ性質/22

正切及ビ餘切函數ノ値ノ變化/23

例解/25

問題4(1-12)/27

第五章 正割及び餘割函數

正割及ビ餘割函數ノ性質/29

正割及ビ餘割函數ノ値ノ變化/29

問題5(1-8)/31

第六章 三角函數相互ノ關係

三角函數ノ定義ヨリ直チニ知ラル、關係/33

一ツノ函數ノ値ヲ知リテ他ノ函數ノ値ヲ求ムルコト/34

例解/35

問題6(1-15)/37

第七章 三角方程式

正弦ニ關スル方程式/39

餘弦ニ關スル方程式/40

正切ニ關スル方程式/41

問題7(1-12)/42

第八章 合成角ノ三角函數

函數ノ和及ビ差ヲ積ニ直スコト/52

三ツノ角ノ和ノ三角函數/53

三倍角ノ三角函數/54

例解/55

問題8(1-42)/58

第九章 分角ノ公式

餘弦ノ値ヲ知リテ半角ノ三角函數ヲ求ムルコト/61

正弦ノ値ヲ知リテ半角ノ三角函數ヲ求ムルコト/63

正切ノ値ヲ知リテ半角ノ三角函數ヲ求ムルコト/69

正弦及ビ餘弦ノ値ヲ知リテ三分ノ一ナル角ノ三角函數ヲ求ムルコト/70

例解/73

問題9(1-22)/76

第十章 特別ナル角ノ三角函數

15°ノ角ノ三角函數/78

18°ノ角ノ三角函數/79

36°ノ角ノ三角函數/79

9°及び81°ノ角ノ三角函數/80

3°ノ角ノ三角函數/81

例解/81

問題10(1-24)/84

第十一章 對數

定義/87

基本的定理/87

常用對數/89

假數ト指標/90

對數表/91

例解/92

問題11(1-7)/94

第十二章 三角函數表

極限値/95

正弦ノ値ノ限界/97

餘弦ノ値ノ限界/98

十秒ノ正弦及び餘弦/99

トーマス,シムソンノ公式/101

對數表/103

比例部分ノ理論/103

問題12(1-8)/106

第十三章 三角形ノ邊ト角トノ關係

直角三角形/108

正弦法則/108

餘弦公式ト餘弦法則/110

半角ノ三角函數ヲ邊ノ長サニテ表ハスコト/111

正弦ヲ邊ノ長ニテ表ハスコト/114

正切法則/115

三角形ノ面積/116

例解/117

問題13(1-32)/121

第十四章 三角形ノ解法

直角三角形ノ解法/125

一般ノ三角形ノ解法/129

解法ノ吟味/137

問題14(1-10)/141

第十五章 三角形ノ性質

外接圓ノ半徑/142

内接圓ノ半徑/143

傍切圓ノ半徑/145

垂足三角形/147

三角形ノ中線/149

外心ト垂心トノ距離/152

外心ト内心トノ距離/153

外心ト傍心トノ距離/154

角ノ二等分線/155

問題15(1-30)/157

第十六章 多邊形ノ性質

四邊形ノ面積/161

内接四邊形ノ對角線/163

内接四邊形ノ角/164

四邊形ノ外接圓ノ半徑/165

正多邊形ノ邊ト面積/166

例解/167

問題16(1-16)/168

第十七章 測量ヘノ應用

二點間ノ距離/171

近ヅクベカラザル塔ノ高サ/172

山ノ高サ/173

例解/173

問題17(1-9)/176

第十八章 逆三角函數

定義/178

逆三角函數ノぐらふ/179

主値/181

逆三角函數相互ノ關係/182

例解/184

問題18(1-16)/188

第十九章 簡單ナル級數ノ和

等差級數ヲナス角ノ正弦ノ和/190

等差級數ヲナス角ノ餘弦ノ和/191

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Public domain
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