File:NLC416-08jh014135-38128 解析幾何學教科書.pdf

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解析幾何學教科書   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
軍學編輯局編
image of artwork listed in title parameter on this page
Title
解析幾何學教科書
Publisher
軍學編輯局[印刷者]
Description

目錄
附錄
第一章 坐標
1 平行坐標
2 坐標之區別
3 直線之正負
4 二點之距離
5 分點之坐點
問題一
6 三角形之面積
問題二
7 線之方程式方程式之軌跡
問題三
雜題一
第二章 直線
8 截部
9 截部方程式
10 過所設二點之直線方程式
11 直線過所設之點交x軸等於所設之角之方程式
12 垂直方程式
13 含x與y二變數之一次方程式之軌跡恆為直線
14 直線方程式之軌跡
15 直線與x軸之交角
16 直線之法線
17 法線與x軸之交角
18 二直線之交角
19 二直線平行或正交之相關
20 點與直線之距離
21 二平行線間之距離
22 二直線交點之坐標
23 三點在一直線上之相關
24 三直線過一點之相關
25 過二直線交點之直線方程式
26 n次方程式可分為n個一次方程式則其軌跡為n個直線
27 方程式能成（ax+by+c)〓+(a'x+b'y+c')〓=0之形者其軌跡必為二直線相交之點
問題四
雜題二
第三章 極坐標
28 極坐標
29 二點之距離
30 三角形之面積
31 直線之極方程式
32 過所設二點之直線之極方程式
33 直線極方程式之軌跡
問題五
第四章 變換坐標
34 變換坐標
35 原點變而二軸之方何不變
36 原點不變而二軸之方向變
37 原點與二軸方向俱變
38 原點不變而斜交二軸之方向皆變
39 凡方程式之次數不因坐標軸之變換而變
40 極坐標與直交軸坐標之關係
問題六
第五章 平圓
41 平圓
42 平圓之方程式
43 含二變數之二次方程式表平圓之要件
44 平圓方程式之軌跡
45 平圓之極方程式
問題七
46 切線及法線
47 圓周上切點之切線方程式
48 平圓之切線與x軸之交角為θ求切點之坐標及切線之方程式
49 圓周上切點之法線方程式
50 點與平圓切點之距離
51 直線與平圓交點之坐標
52 自圓周外一點作切線求切點之坐標
53 過二平圓之交點之直線方程式
問題八
雜題三
第六章 圓錐曲線
54 圓錐曲線
55 圓錐曲線之極方程式
56 圓錐曲線之方程式
57 作拋物線之法
58 拋物線之方程式
59 直線與拋物線交點之坐標
60 拋物線上切點之切線及法線之方程式
61 拋物線之切線與x軸之交角為θ求切點之坐標及切線之方程式
62 橢圓周上任一點距兩焦點之和為常數而等於長軸雙曲線上任一點距兩焦點之較為常數而等於截軸
63 作橢圓及雙曲線之法
64 橢圓及雙曲線之方程式
65 橢圓周上及雙曲線上切點之切線及法線之方程式
66 橢圓及雙曲線之切線與x軸之交角為θ求其切點之坐標及切線之方程式
67 橢圓與輔助圓之相關
68 雙曲線之漸近線
問題九
雜題四
第七章 二次之軌跡
66 二次之軌跡
問題十
第八章 高等平曲線
70 代數曲線及越曲線
71 戴奧哥羅之曲線
72 尼哥米德之曲線
73 白奴利之曲線
74 渥尼西之曲線
75 擺線
76 螺線
77 亞基默得之螺線
78 雙曲線螺線
79 歷實螺線
80 對數螺線
81 拋物線螺線

Language Chinese
Publication date 民國6[1917]
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
131頁

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current14:29, 22 April 2023Thumbnail for version as of 14:29, 22 April 20231,239 × 1,754, 143 pages (2.39 MB)PencakeBot (talk | contribs)Upload 解析幾何學教科書 (1/1) by 軍學編輯局編 (batch task; nlc:data_416,08jh014135,38128; 民國圖書-PD2022.2; 解析幾何學教科書)

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