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File:NLC416-14jh004737-58097 新編高中平面幾何學.pdf

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新編高中平面幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
余介石編
image of artwork listed in title parameter on this page
Title
新編高中平面幾何學
Publisher
中華書局[發行者]
Description

目錄
第一編 緒論
1 幾何學目標及定義
2 平面幾何學與立體幾何學
3 幾何學出發點——公理
4 名詞和定義
習題一
5 幾何命辭
6 公理和公設
7 疊合法
習題二
8 相關角各定理
9 全等三角形
10 基本作圖題
習題三
11 命辭範式
12 命辭的換位與換質
13 幾何證題法
14 歸謬法
習題四
15 逆轉命辭定律
16 證題通法——解析與綜合
17 窮舉法
習題五
第一編 摘要
第二編 直線形
18 本編目的
19 平行線
20 三角形及多角形的內外角定理
21 相交線
習題六
22 二組平行線或垂線的夾角
23 全等直角三角形
24 垂線與斜線
習題七
25 離接命辭
26 不全等三角形
27 平行四邊形
習題八
28 平行截線
29 軌跡
30 基本軌跡和應用
31 三角形諸心
習題九
32 對稱
33 對稱形
34 對稱圖形基本定理
習題十
第二編 摘要
第三編 圓
35 圓的基本性質
36 圓心角弧與弦
37 弧、弦與半徑
習題十一
38 圓與直線
39 圓與三角形
40 圓與角
習題十二
41 切線
42 二圓
43 公弦與公切線
44 共圓點
習題十三
45 有向角
46 共圓點判別
47 九點圓
48 西摩松（simson）線
習題十四
第三編 摘要
第四編 度量
49 度量法
50 基本度量
51 量的比
52 公度
53 極限
54 比例量
習題十五
55 以弧度角
56 面積
57 長方形面積
58 割補術
習題十六
59 畢氏（pythagoras)定理
60 與二定點距離平方差一定的點的軌跡
61 正多角形
62 正多角形的作圖
63 圓的度量
64 圓周率
習題十七
第四編 摘要
第五編 比例線段、相似形
65 三角形內比例線段
66 比例線段的作圖
67 三角形分角線性質
習題十八
68 相似三角形
69 位似三角形
70 位似圖
71 等積線段
習題十九
72 判別共圓點又法
73 托勒密（ptolemy)定理
74 反點
75 反圖
76 反圖圓
習題二十
77 圓冪
78 等冪軸
79 等冪心
80 正交圓
習題二一
81 有向線段
82 有向比
83 美耐勞（menelaus)定理
84 喜瓦（ceva)定理
習題二二
85 尤拉（euler)線
86 調和點列
87 調和點列重要特性
88 調和線束
習題二三
89 完全四邊形
90 關於圓的極與極線
91 極與極線對所關圓調和性
92 極與極線的作圖
習題二四
第五編 摘要
附錄 幾何名詞定義匯覽
中西名詞對照表

Language Chinese
Publication date 民國三十六年[1947]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.63/69
主題
InfoField
平面幾何
中圖分類
InfoField
G634.63
載體形態
InfoField
144頁

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