File:NLC416-14jh006279-57925 新中國教科書高級中學立體解析幾何學.pdf

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新中國教科書高級中學立體解析幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
余介石編著
image of artwork listed in title parameter on this page
Title
新中國教科書高級中學立體解析幾何學
Publisher
正中書局[發行者]
Description

目錄
第一章 空間直解坐標,軌跡
1 笛氏坐標
2 點與坐標的互定
3 卦限
4 對稱
習題一
5 射影
6 空間有向線的交角
7 射影第一定理
8 射影第二定理
9 射影與坐標
習題二
10 直線的方向角,方向餘弦,方向參數
11 方向餘弦的基本關係式
12 方向參數與方向餘弦的關係
習題三
13 二點間的距離
14 二有向線的交角
15 平行與垂直的判別
習題四
16 定比分點
17 例題
18 三點共線和四點共面
習題五
19 空間軌跡
20 軌跡的方程式
21 最簡單的情形
22 方程式的軌跡
23 基本問題
習題六
第二章 平面
24 平面位置的決定
25 平面的法式
26 一次方程式的軌跡
27 二平面的關係
28 平面的截距與主截口
習題七
29 二平面的交角
30 平面至其外一點的距離
31 二面角的平分面
習題八
32 由三條件決定的平面
33 過三已知點的平面方程式
34 平面系
35 決定平面的又一方法
習題九
36 面積的射影
37 三點所成三角形的面積
38 四面體體積求法
39 四面體體積公式
40 四面體體積公式新證
習題十
第三章 直線
41 下線的普通方程式
42 方向餘弦的求法
43 與坐標平面,軸的相關位置
44 直線的作圖,主截口
習題十一
45 直線方程的參數式
46 直線方程的對稱式
47 直線方程的兩點式
48 直線的射影面
49 直線方程各式的互化
習題十二
50 直線與平面的交角
51 平行條件與垂直條件
52 直線與平面的各種關係
53 二直線的各種關係
54 由直線決定平面
習題十三
第四章 特殊曲面
55 本章目的
56 球
57 球的決定
58 圓
習題十四
59 柱
60 柱的通例
61 錐
62 齊次方程式
習題十五
63 曲面方程式的討論
64 曲面討論例解
65 直紋面
66 迴轉面
67 迴轉面方程式的求法
習題十六
68 曲線的射影法
69 空間曲線參數式
70 空間螺旋線
71 曲面的參數式
習題十七
第五章 坐標變換
72 本章目的
73 極坐標
74 球面坐標
75 柱面坐標
76 直角坐標系
習題十八
77 坐標軸的平移
78 平移的應用
79 四面體體積公式又證
80 坐標軸的旋轉
81 旋轉方程式的討論
習題十九
82 反變換
83 方程式次數的不變性
84 普通二次方程式的討論
85 普通二次方程式的簡化
86 二次曲面的分類
習題二十
第六章 二次曲面
87 本章目的
88 橢面
89 單葉雙曲面
90 雙葉雙曲面
習題二十一
91 橢性拋物面
92 雙曲拋物面
93 雙曲拋物面的又一方程式
習題二十二
94 直線與二次曲面的關係
95 p的方程式
96 各種情形例解
97 直紋二次曲面
習題二十三
98 平面與二次曲面的關係
99 二次曲面的切面
100 結論
習題二十四
索引
(一) 中文索引
(二) 西文索引

Language Chinese
Publication date 民國三十二年[1943]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.65/10
主題
InfoField
立體幾何
中圖分類
InfoField
G634.65
載體形態
InfoField
168頁

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Date/TimeThumbnailDimensionsUserComment
current20:13, 11 June 2023Thumbnail for version as of 20:13, 11 June 2023785 × 1,435, 180 pages (4.88 MB)PencakeBot (talk | contribs)Upload 新中國教科書高級中學立體解析幾何學 (1/1) by 余介石編著 (batch task; nlc:data_416,14jh006279,57925; 民國圖書.8; 新中國教科書高級中學立體解析幾何學)

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