File:NLC416-08jh009228-95247 漢譯斯蓋尼三氏新解析幾何學.pdf

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漢譯斯蓋尼三氏新解析幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
〔美〕Smith[等]原著
image of artwork listed in title parameter on this page
Title
漢譯斯蓋尼三氏新解析幾何學
Publisher
華北科學社[發行者]
Description

目錄
第一章 本書所用的公式及表格
1 幾何，代數及三角學的公式
2 自然數值和特殊角
3 三角函數符號的定則
4 三角函數值的簡表
5 希臘字母
第二章 卡特遜（狄卡兒）坐標
6 解析幾何學
7 卡特遜直角坐標
8 方向線
9 長
10 一點分一線段成已知比
11 幾何學上定理的應用
12 斜角和斜度
13 平行線或垂直線的檢驗法
14 角的公式
15 面積
第三章 曲線和方程式
16 曲線的方程式（點的軌跡）
17 方程式的軌跡
18 方程式的討論
19 摘要
20 水平和直立的漸近線
21 交點
第四章 直線
22 直線方程式的次數
23 一次方程式的軌跡
24 直線軌跡的作圖法
25 定點斜度
26 兩定點式
27 截線式
28 三條直線相交的條件
29 直線方程式的法線式
30 法線式的化法
31 由一直線到一點的垂直距離
32 直線系
33 通過兩直線交點的直線系
第五章 圓
34 圓的方程式
35 圓的檢驗法
36 一個圓可以用三個條件去決定
37 等冪軸（根軸）
38 切線的長度
39 圓系
第六章 拋物線，橢圓，和雙曲線
40 拋物線
41 拋物線的作圖法
42 拋物拱
43 作拋物線的方法
44 橢圓
45 橢圓的作圖法
46 作橢圓法
47 特別情形
48 雙曲線
49 雙曲線的作圖法
50 畫雙曲線的方法
51 共軛雙曲線和漸近線
52 等邊（軸）雙曲線或直角雙曲線
53 摘要
54 圓錐曲線
55 圓錐曲線系
第七章 坐標的變位
56 總綱
57 移軸法
58 應用移軸法化簡方程式
59 定理
60 圓錐曲線的標準方程式
61 轉軸法
62 用轉軸法化簡方程式
63 二次方程式的軌跡
64 作二次方程式的軌跡
65 特例，等軸（直角）雙曲線
66 圓錐曲線的第二定義
67 普通作標軸的移轉
68 軌跡的分類
第八章 切線的長度
69 切線的方程式
70 普通定理
71 法線方程式
72 切影和法影
73 已知斜度求切線法
74 由曲線外一點求切線法
75 已知斜度切線的公式
76 圓錐曲線切線和法線的性質
第九章 極坐標
77 極坐標
78 極方程式的作圖法
79 極坐標方程式的速作法
80 直角坐標和極坐標的關係
81 應用.直線和圓
82 圓錐曲線的極坐標方程式
83 交點
84 用極坐標求軌跡的方法
第十章 超越曲線
85 自然對數
86 正弦曲線
87 周期性
88 正弦曲線的作圖法
89 其他三角函數曲線
90 縱坐標的加法（和）
91 界限曲線
第十一章 襄變（參數）方程式和軌跡
92 襄變（參數）方程式作圖法
93 由襄變（參數）方程式求直角坐標方程式法
94 同一曲線的各種襄變（參數）方程式
95 用襄變（參數）方程式解軌跡問題
96 用相應線的交點定軌跡的方法
97 圓錐曲線的直徑
第十二章 函數.圓形和經驗方程式
98 函數
99 函數的圓形，簡單函數的例題
100 函數的成立和作圖
101 函數的經驗確定法
102 直線定律
103 平均法
104 前例的注釋
105 二常數定律
106 乘方律
107 指數定律和雙曲線定律
108 拋物線定律
109 平均法對於普通拋物線定律的應用
110 代數方程式的圖解法
111 超越方程式的圖解法
第十三章 空間的卡特遜坐標
112 卡特遜坐標
113 重要關係
114 直線的方向餘弦
115 直線的方向數
116 長
117 兩方向線間的角
118 平行線和垂直線的檢驗法
119 定比分線
120 空間的軌跡
121 面的方程式
122 曲線的方程式
123 方程式的軌跡
第十四章 空間的平面和直線
124 平面的法線方程式
125 任意一次方程式的軌跡，法線式的化成
126 特殊平面
127 平面的截點和跡線
128 兩平面的夾角
129 三條件決定一平面
130 平面的截點式
131 由平面到一點的距離
132 平面系
133 直線的普通方程式
134 直線方程式式各種情形
135 直線的投影面
136 直線和平面相關的位置
第十五章 特別曲面
137 球面
138 圓柱面
139 圓錐面
140 曲面方程式的討論
141 二次曲面
142 橢圓曲面
143 單葉雙曲線曲面
144 雙葉雙曲線曲面
145 橢圓拋物線曲面
146 雙曲線拋物線曲面
第十六章 空間解析幾何補編
147 旋轉曲面
148 法面
149 二次法面
150 傾斜圓柱面
151 曲面射影圓柱面
152 空間曲線的襄變方程式
第十七章 坐標的變位.各種坐標制
153 移軸法
154 轉軸法
155 含x，y，z的二次方程式的軌跡
156 普通三元二次方程式的化簡法
157 極坐標
158 球面坐標
159 圓柱面坐標

Language Chinese
Publication date 民國25[1936]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
解析幾何
中圖分類
InfoField
O182
載體形態
InfoField
372頁

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