File:NLC416-14jh006280-71262 施蓋倪解析幾何學.pdf

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施蓋倪解析幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
繆玉源編譯
image of artwork listed in title parameter on this page
Title
施蓋倪解析幾何學
Publisher
北新書局[發行者]
Description

目錄
第一章 引用公式及表
1 幾何代數及三角公式
2 幾個特殊角之三角函數值
3 三角函數之符號定則
4 三角函數之值
5 希臘字母
第二章 狄卡兒坐標
6 解析幾何
7 狄卡兒直角坐標
8 有向線
9 長
10 定比分點
11 坐標在幾何學上之應用
12 斜角與斜率
13 平行線或垂直線之檢驗法
14 二線交鐵
15 面積
第三章 曲線與方程
16 曲線之方程（點之軌跡）
17 方程之軌跡
18 方程之討論
19 總結
20 水平及垂直漸近線
21 交點
第四章 直線
22 直線方程之次數
23 一次方程之軌跡
24 描直線法 定理 析因子描跡法
25 定點斜率式
26 兩點式
27 截部式
28 三線共點之條件
29 直線方程之法線式
30 法線式之化成
31 從直線至一點之距離
32 直線系
33 過兩線交點之直線系
第五章 圓
34 圓之方程
35 圓方程之檢驗法
36 三條件決定一圓
37 根軸
38 切線之長
39 圓系
第六章 拋物線，橢圓，及雙曲線
40 拋物線
41 拋物線之作圖法
42 拋物拱
43 描拋物線法
44 橢圓
45 橢圓之作圖法
46 描橢圓法
47 特款
48 雙曲線
49 雙曲線之作圖法
50 描雙曲線法
51 配偶雙曲線及其漸近線
52 等軸雙曲線或垂直雙曲線
53 總結
54 圓錐截線
55 圓錐曲線系
第七章 坐標之變換
56 引言
57 平移法
58 用平移法化簡方程
59 定量
60 圓錐截線之模範方程
61 旋轉法
62 用旋轉法化簡方程
63 任意二次方程式之軌跡
64 二次方程軌跡之描法
65 特款 等軸（直角）雙曲線 等軸雙曲線之作圖法
66 圓錐截線之另一定義
67 雙換坐標之通法
68 軌跡之分類
第八章 切線
69 切線之方程
70 普通定理
71 法線之方程
72 次切距與次法距
73 已知斜率之切線
74 過曲線外一點之切線
75 已知斜率之切線公式
76 圓錐曲線之切線及法線之性質
第九章 極坐標
77 極坐標
78 極坐標方程之描跡
79 極坐標方程描跡之捷法
80 直角坐標與極坐標之關係
81 應用 直線與圓
82 圓錐截線之極坐標方程
83 交點
84 用極坐標求軌跡法
第十章 超越曲線
85 自然對數 指數曲線與對數曲線
86 正弦曲線
87 周期性
88 正弦曲線之描跡
89 其他三角函數曲線
90 縱坐標之相加
91 界限曲線
第十一章 襄變方程組與軌跡
92 襄變方程組之描跡
93 化襄變方程組為直角坐標方程法
94 同一曲線之各種襄變方程組
95 用襄變方程組解軌跡問題
96 用對應線交點定軌跡法
97 圓錐截線之直徑
第十二章 函數，圖形，及經驗方程
98 函數 函數之記法
99 函數之圖形 簡單函數之例
100 函數之立式與作圖
101 根據經驗定函數法
102 直線律
103 平均法
104 上例之評論
105 含二常數之律
106 冪律
107 指數律與雙曲線律
108 拋物線律
109 平均法對於普通拋物線律之應用
110 代數方程之圖解法
111 超越方程之圖解法
附章 普通二次方程
ⅰ 引言
ⅱ 降格圓錐截線之條件
ⅲ 旋轉軸時之不變式
ⅳ 平移軸時之不變式
ⅴ 二次方程軌跡之性質

Language Chinese
Publication date 民國二十六年[1937]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.65/9
主題
InfoField
解析幾何
中圖分類
InfoField
G634.65
載體形態
InfoField
372頁

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