File:NLC416-08jh009919-8740 漢譯斯蓋尼新解析幾何學.pdf

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漢譯斯蓋尼新解析幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
丁夢松 王俊奎譯
image of artwork listed in title parameter on this page
Title
漢譯斯蓋尼新解析幾何學
Publisher
北平科學社[發行者] (北平)
Description

目錄
第一章 引用公式及表
1 幾何，代數及三角公式
2 特殊角之三角函數
3 三角函數之性號定則
4 三角函數之值
5 希臘字母
第二章 狄卡兒坐標
6 解析幾何學
7 狄卡兒直角坐標，斜坐標
8 有向線
9 長
10 定比分點
11 坐標在幾何學上之應用
12 斜角及斜率
13 平行線或垂直線之證驗法
14 角之公式
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 撮要
20 水平及直立漸近線
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 直線之描，跡定理，劈因數描跡法
25 點斜式
26 兩點式
27 截部式
28 三線相交之條件
29 直線方程之法線式
30 法線式之化成
31 由線至點之垂直距離
32 直線系
33 過兩線交點之直線系
第五章 圓
34 圓之方程
35 圓之方程之證驗法
36 三條件定一圓
37 根軸
38 切線之長
39 圓系
第六章 拋物線橢圓與雙曲線
40 拋物線
41 拋物線之作圖法
42 拱形
43 拋物線之描跡
44 橢圓
45 橢圓之作圖法
46 橢圓之描跡
47 特例
48 雙曲線
49 雙曲線之作圖法
50 雙曲線之描跡
51 配偶雙曲線及其漸近線
52 等軸雙曲線或直角雙曲線
53 撮要
54 圓錐截形
55 圓錐截形系
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 定理
60 圓錐截形之標準方程
61 轉軸法
62 用轉軸法化簡方程
63 二次方程之軌跡
64 描二次方程之軌跡
65 特例，等軸（直角）雙曲線，等軸雙曲線之作圖法
66 圓錐截形之第二定義
67 變換坐標軸之通法
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 切影及法影
73 已知斜率之切線
74 過曲線外一點之切線
75 已知斜率之切線之公式
76 圓錐截形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，直線及圓
82 圓錐截形之極坐標方程
83 交點
84 用極坐標之軌跡
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 從坐標之和
91 界限曲線
第十一章 襄變方程與軌跡
92 襄變方程之描跡
93 由襄變方程化為直角坐標方程
94 同一曲線之各式襄變方程
95 用襄變方程解軌跡問題
96 相當線之交點軌跡
97 圓錐截形之直徑
第十二章 函數圓形及經驗方程
98 函數，函數之記法
99 函數之圖形，簡單函數之例
100 函數之立式及圖形
101 經驗函數
102 直線定律
103 平均法
104 上例之評論
105 含二常數之定律
106 方冪定律
107 指數定律及雙曲線定律
108 拋物線定律
109 平均法應用於拋物線定律
110 代數方程之圖解
111 超越方程之圖解
第十三章 空間之狄卡兒坐標
112 狄卡兒坐標
113 重要關係
114 直線之方向餘弦
115 直線之方向數
116 長
117 兩方向線間之角
118 平行線及垂直線之驗察法
119 定比分點
120 空間之軌跡
121 面之方程
122 曲線之方程
123 方程之軌跡，聯立二方程之軌跡
第十四章 空間之平面與直線
124 平面方程之法線式
125 一次方程之軌跡，法線式之化成
126 特殊平面
127 平面之截部及跡線，作平面法
128 二平面間之角
129 三條件決定一平面
130 平面方程之截部式
131 由平面至一點之距離
132 平面系
133 直線方程之通式
134 直線方程之各種特式
135 直線之射影面，射影式
136 直線與平面相關之位置
第十五章 特殊曲面
137 球面
138 圓壔
139 圓錐面
140 曲面方程之討論
141 二次曲面
142 橢圓
143 單葉雙曲面
144 雙葉雙曲面
145 橢圓拋物面
146 雙曲線拋物面
第十六章 空間幾何補編
147 旋轉面
148 直紋面
149 二次直紋面，直母線
150 斜圓壔
151 曲線之射影圓壔
152 空間曲線之襄變方程
第十七章 坐標之變換各種坐標系
153 移軸法
154 轉軸法
255 x，y，z二次方程之軌跡
156 三變數二次方程之化簡
157 極坐標
158 球坐標
159 柱坐標

Language Chinese
Publication date 民國22[1933]
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
G634.65
拼音題名
InfoField
han yi si gai ni xin jie xi ji he xue
載體形態
InfoField
323頁

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