File:NLC416-13jh008467-62316 袖珍平面幾何學參考書.pdf

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袖珍平面幾何學參考書   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
駱師曾編譯
image of artwork listed in title parameter on this page
Title
袖珍平面幾何學參考書
Publisher
世界書局
Description

目錄
第一編 直線形
1 關於角之定義及問題
2 定義，公理，定理
3 關於直線形之定義
4 平行線之定理及問題
5 三角形之角
6 多角形之角
7 三角形之全等（其一）
8 二等邊三角形之性質
9 三角形之全等（其二）
10 三角形之邊與角
11 平行四邊形
12 逆定理及其作法
13 定理之證明法
14 問題解法之要點
15 直線形應用問題
第二編 圓
1 關於圓之定義
2 弦之垂直二等分線
3 弦與中心之距離
4 弧，弦，圓心角
5 圓心角及圓周角
6 弦之交角及圓周角
7 弓形之角
8 內接多角形及外接圓
9 切線之定理及問題
10 切線與弦之角
11 外切多角形及內切角
12 內接及外切正多角形
13 二圓之相交及相切
14 圓之應用問題
第三編 作圓題
1 作圓題之意義及公法
2 作圓題之模範解答
3 基礎的作圓題
4 作圓之解析的研究
平行移動法
對稱移動法
迴轉移動法
5 重要作圓題
三角形之作圓
引直線問題
畫圖問題
第四編 軌跡
1 定理之對偶逆裹
2 軌跡之基礎
3 基本的軌跡
4 軌跡發見法及其例
5 重要之軌跡問題
軌跡為直線之例
軌跡為圓或圓弧之例
6 用軌跡之作圓
第五編 面積
1 二線分所包之矩形
2 平行四邊形之面積
3 三角形之面積
4 四邊形之面積
5 余形之定理及其應用
6 畢達哥拉氏（pythagoras）定理及應用
7 畢達哥拉氏定理及擴張
8 三角形二邊平方之和
9 三角形二邊平方之差
10 西綸氏（heron）公式及其應用
11 關於面積之重要問題
12 關於面積之軌跡題
13 關於面積之作圓題
多角形之等積變形
面積等分
線分之分割
第六編 比例
1 比例線
2 關於平行線之比例線
3 角之二等分線所分之比例線
4 相似三角形
5 相似多角形
6 比例及面積
應用比例之面積定理
三角形二邊等積
托勒密氏（ptolemy）定理及應用
7 面積之比
8 塞凡氏（cevs）定理及其應用
9 梅捏勞斯氏（menelous）定理及其應用
10 比例問題之解法與着想
11 比例中項
12 調和列點
13 關於比例之軌跡
14 關於比例之作圓
求第四比例項
求比例中項
相似法
切圓之作圓
面積之分割
代數方程式之幾何學的解
黃金分割法
第七編 特殊問題
1 最大最小問題
2 計算問題
求長之問題
求面積之問題
求比之問題
3 幾何代數融合問題
4 決定形狀問題
5 決定範圍問題

Language Chinese
Publication date 民國卅一年[1942]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/O123.1/13
主題
InfoField
平面幾何
中圖分類
InfoField
O123.1
載體形態
InfoField
509頁

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current06:38, 11 June 2023Thumbnail for version as of 06:38, 11 June 2023818 × 1,347, 519 pages (14.48 MB)PencakeBot (talk | contribs)Upload 袖珍平面幾何學參考書 (1/1) by 駱師曾編譯 (batch task; nlc:data_416,13jh008467,62316; 民國圖書.8; 袖珍平面幾何學參考書)

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