File:NLC416-08jh009156-25337 平面幾何學—比例及相似形.pdf

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平面幾何學—比例及相似形   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
〔日〕林鶴一 〔日〕山地哲太郎著
image of artwork listed in title parameter on this page
Title
平面幾何學—比例及相似形
Publisher
上海商務印書館[發行者]
Description

目錄
第一章 關於比及比例之說明及定理
倍量,約量
公約量
可通約量,不可通約量
求最大公約量
定理1,量之測度

定理2,某比與反比之積等於1
比例,比例量
比例中項
定理3,量之比與測度
定理4,數之比例(重要定理)
例題ⅰ
第二章 中心角
定理5,中心角與夾弧(基本定理)
例題ⅱ
第三章 比例線
定理6,平行線(基本定理)
內分外分
定理7,內分點,外分點
調和共軛點,調和列點
定理8,平行線
例題ⅲ
定理9,內角及外角之二等分線
主要問題1
例題ⅳ
主要問題2
例題ⅴ
第四章 相似多角形
對應角,對應邊
定理10,相似三角形
定理11,相似三角形(基本定理)
主要問題3
例題ⅵ
定理12,相似三角形(基本定理)
定理13,相似三角形(基本定理)
主要問題4
例題ⅶ
主要問題5
雜題ⅰ
主要問題6
直接相似,反對相似
定理14,相似多角形
例題ⅷ
主要問題7
主要問題8
相似之中心
例題ⅸ
第五章 面積
第一節 面積 等積之矩形(基本定理)
定理15,矩形
例題ⅹ
定理16,內項外項所包之矩形
主要問題9
例題ⅺ
定理17,圓之二弦相交互分二部分所包之矩形
定理18,切線上之正方形
主要問題10
例題ⅻ
定理19,三角形之二邊所包之矩形
主要問題11
例題xⅲ
定理20,多祿某之定理(重要定理)
例題ⅺv
中末比
例題xv
第二節 關於複比及二乘比之面積
複比,二乘比之定義
定理21,複比
定理22,矩形之比
例題xvi
定理23,兩個三角形之比(基本定理)
定理24,一角相等之兩個三角形之比(基本定理)
主要問題12
例題xⅶ
定理25,相似三角形之比
主要問題13
例題xⅷ
第六章 雜定理
定理26,梅乃臘司之定理
例題xix
定理27,舍佛之定理
例題xx
定理28,巴斯果之定理
例題xxi
雜題ⅱ
第七章 計算應用問題
定理29,弧之測度
例題xxⅱ
主要問題14
例題xxⅲ
定理30,矩形之測度
例題xxiv
主要問題15
例題xxv
主要問題16
例題xxvi
主要問題17
例題xxvⅱ
主要問題18
例題xxvⅲ
主要問題19
例題xxix
附錄 問題解法指南及答

Language Chinese
Publication date 民國24[1935]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
平面幾何 比例-相似 相似-比例
中圖分類
InfoField
O123.1
載體形態
InfoField
185頁

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current09:18, 10 June 2023Thumbnail for version as of 09:18, 10 June 2023902 × 1,135, 196 pages (2.44 MB)PencakeBot (talk | contribs)Upload 平面幾何學—比例及相似形 (1/1) by (日)林鶴一,(日)山地哲太郎著 (batch task; nlc:data_416,08jh009156,25337; 民國圖書.4; 平面幾何學—比例及相似形)

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