File:NLC416-08jh013754-32323 溫特渥斯解析幾何學.pdf

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search
Go to page
next page →
next page →
next page →

Original file ‎(1,239 × 1,754 pixels, file size: 6.26 MB, MIME type: application/pdf, 320 pages)

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

溫特渥斯解析幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
鄭家斌譯
image of artwork listed in title parameter on this page
Title
溫特渥斯解析幾何學
Publisher
商務印書館[發行者]
Description

目錄
平面部
第一章 軌跡及其方程式
1 象限
2 代數號
3 坐標之諸軸
4 坐標之直線法
5 角之弧度
6-7 二點間之距離
8-9 線之分段
10-12 常數與變數
13-20 方程式之軌跡
21 定義
22 曲線之截線
23 二曲線之交點
24 曲線經過原點
25 方程式無常數項
26 直線與平圓之作法
27-30 方程式之軌跡作法
31 曲線之方程式
總問
第二章 直線
32 紀法
33-35 直線之方程式
36 直線之配合方程式
37 直線之法線方程式
38-39 一次之總方程式
40 一次之軌跡
41 二線所成之角
42 平行線與垂線之方程式
43 直線與一線成所設角之方程式
44-45 由一點至一線之距離
46 三角形之面積
總問
第三章 平圓
47-48 平圓之方程式
49 方程代平圓之狀
50 點在平圓之外或上或內等狀
51 切線法線次切線次法線
52 x2+y2=r2平圓之切線方程式
53 過(x1,y1)點之法線方程式
54 (x-a)2+(y-b)2=r2平圓之切線及法線之方程式
55 直線與平圓相切之狀
總問
第四章 坐標各法
56-58 直線法與斜交法
59 極距法
60 平圓之極方程式
61 坐標之變形
62 新二軸與舊二軸平行
63 由一直交軸變為他直交軸
64 由一直交軸變為他直交軸並變其原點
65 由直交軸變為斜交軸
66 由直交坐標變為極坐標
67 由極坐標變為直交坐標
68 二軸交換方程式之次數不改
總問
第五章 拋物線
69 拋物線之本性
70 拋物線之作法
71 拋物線之原方程式
72 拋物線依軸對稱
73 點在拋物線之外或上或內等狀
74 首通徑為任何橫坐標與相當縱坐標連比例之末率
75 二點之縱坐標之平方如其橫坐標
76 直線遇拋物線之點
77 切線及法線之方程式
78 次切線及次法線
79 切線與軸及通半徑成相等角
總問
第六章 橢圓
80 橢圓之本性
81 橢圓之作法
82 長軸與短軸
83 橢圓之方程式
84 依曲線方程式求其形狀
85 設半長短軸變化求橢圓形狀之變化
86 任何二縱坐標平方之比
87 點在橢圓之外，或上，或內，等狀
88 方程式代橢圓之形狀
89 首通徑為長軸與短軸連比例之末率
90 輔助圓
91 橢圓與輔助圓之縱坐標之比
92 准§91之橢圓作法
93 橢圓之面積
94 切線及法線之方程式
95 次切線及次法線
96 諸橢圓有公長軸之切線
97 法線平分二通半徑間之角
98 由橢圓上一點作切線與法線之法
99 本線坡之切線方程式
100 橢圓之准圓
總問
第七章 雙曲線
101 雙曲線之本性
102 雙曲線之作法
103 中心橫軸頂點
104 雙曲線之方程式
105 雙曲線之性質
106 等邊雙曲線
107 相屬雙曲線
108 過中心遇曲線於二點之直線
109 漸近線
110 切線之方程式
111 法線之方程式
112 次切線次法線
113 直線為切線之狀
114 准圓之方程式
115 切線及法線平分二通半徑間之角
總問
第八章 二次之軌跡
116 二次總方程式
117 該方程式代二直線之狀
118 有中心及無中心曲線
119 有中心軌跡之總方程式
120 改該方程式為已知之式
121 px2+qy2=r之軌跡之自然性
122 △=o與∑=o之方程式之軌跡
123 △不為o，與∑=o之方程式之軌跡
124 總結前理
125 例題
126 圓錐線之定義
127 圓錐線之方程式
總問
第九章 高等平曲線
128 高等平曲線
129 戴奧哥盧之曲線
130 尼哥米德之曲線
131 白奴利之曲線
132 泥尼西之曲線
133-134 擺線
135 螺線
136 亞基默德之螺線
137 雙曲線螺線
138 歷實螺線
139 對數線螺線
140 拋物線螺線
立體部
第一章 空間之點
141 定義
142 點之帶徑
143-144 方向角與方向餘弦
145-147 直線上之射影
148 二直線間之角
149 二點間之距離
150 極坐標
151 平面上之射影
習題
第二章 空間之平面
152-153 平面之法線式
154 平面之配合式
155 二平面間之角
156 自一點至一平面之距離
習題
第三章 空間之直線
157 直線之方程式
158-159 直線之配合式
160 二直線間之角
161 直線至平面之斜度
習題
第四章 旋轉曲面
162 含x,y,z之一方程式代一曲面
163 曲面蹤線
164 定義
165 旋轉曲面之總方程式
166 旋轉拋物面
167 旋轉橢圓面
168 旋轉雙曲面
169 曲面之中心
170 旋轉圓錐面
171 圓錐剖面
習題
172-173 坐標變換法
174-175 三變數二次式之軌跡
176-180 有中心曲面
181 無中心曲面
平面部答題
立體部答題

Language Chinese
Publication date 民國17[1928]
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
300頁

Licensing[edit]

This image is in the public domain because it is a mere mechanical scan or photocopy of a public domain original, or – from the available evidence – is so similar to such a scan or photocopy that no copyright protection can be expected to arise. The original itself is in the public domain for the following reason:
Public domain
This image is now in the public domain in China because its term of copyright has expired.

According to copyright laws of the People's Republic of China (with legal jurisdiction in the mainland only, excluding Hong Kong and Macao), amended November 11, 2020, Works of legal persons or organizations without legal personality, or service works, or audiovisual works, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation. For photography works of natural persons whose copyright protection period expires before June 1, 2021 belong to the public domain. All other works of natural persons enter the public domain 50 years after the death of the creator.
According to copyright laws of Republic of China (currently with jurisdiction in Taiwan, Penghu, Kinmen, Matsu, etc.), all photographs and cinematographic works, and all works whose copyright holder is a juristic person, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation, and all other applicable works enter the public domain 50 years after the death of the creator.

Important note: Works of foreign (non-U.S.) origin must be out of copyright or freely licensed in both their home country and the United States in order to be accepted on Commons. Works of Chinese origin that have entered the public domain in the U.S. due to certain circumstances (such as publication in noncompliance with U.S. copyright formalities) may have had their U.S. copyright restored under the Uruguay Round Agreements Act (URAA) if the work was under copyright in its country of origin on the date that the URAA took effect in that country. (For the People's Republic of China, the URAA took effect on January 1, 1996. For the Republic of China (ROC), the URAA took effect on January 1, 2002.[1])
To uploader: Please provide where the image was first published and who created it or held its copyright.

You must also include a United States public domain tag to indicate why this work is in the public domain in the United States. Note that this work might not be in the public domain in countries that do not apply the rule of the shorter term and have copyright terms longer than life of the author plus 50 years. In particular, Mexico is 100 years, Jamaica is 95 years, Colombia is 80 years, Guatemala and Samoa are 75 years, Switzerland and the United States are 70 years, and Venezuela is 60 years.

čeština ∙ Deutsch ∙ English ∙ português ∙ română ∙ slovenščina ∙ Tagalog ∙ Tiếng Việt ∙ македонски ∙ русский ∙ മലയാളം ∙ ไทย ∙ 한국어 ∙ 日本語 ∙ 简体中文‎ ∙ 繁體中文 ∙ +/−


This tag is designed for use where there may be a need to assert that any enhancements (eg brightness, contrast, colour-matching, sharpening) are in themselves insufficiently creative to generate a new copyright. It can be used where it is unknown whether any enhancements have been made, as well as when the enhancements are clear but insufficient. For known raw unenhanced scans you can use an appropriate {{PD-old}} tag instead. For usage, see Commons:When to use the PD-scan tag.

Note: This tag applies to scans and photocopies only. For photographs of public domain originals taken from afar, {{PD-Art}} may be applicable. See Commons:When to use the PD-Art tag.
This image contains digital watermarking or credits in the image itself. The usage of visible watermarks is discouraged. If a non-watermarked version of the image is available, please upload it under the same file name and then remove this template. Ensure that removed information is present in the image description page and replace this template with {{Metadata from image}} or {{Attribution metadata from licensed image}}.

Caution: Before removing a watermark from a copyrighted image, please read the WMF's analysis of the legal ramifications of doing so, as well as Commons' proposed policy regarding watermarks.

If the old version is still useful, for example if removing the watermark damages the image significantly, upload the new version under a different title so that both can be used. After uploading the non-watermarked version, replace this template with {{Superseded|new filename|version without watermarks}}.
Bahasa Indonesia ∙ italiano ∙ eesti ∙ sicilianu ∙ Deutsch ∙ català ∙ magyar ∙ čeština ∙ română ∙ español ∙ português ∙ English ∙ hrvatski ∙ Plattdüütsch ∙ français ∙ Nederlands ∙ polski ∙ galego ∙ slovenščina ∙ suomi ∙ svenska ∙ Ελληνικά ∙ беларуская (тарашкевіца)‎ ∙ български ∙ македонски ∙ русский ∙ українська ∙ മലയാളം ∙ ไทย ∙ 日本語 ∙ 中文 ∙ 中文（简体）‎ ∙ 中文（繁體）‎ ∙ עברית ∙ العربية ∙ فارسی ∙ +/−

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current03:17, 10 June 2023Thumbnail for version as of 03:17, 10 June 20231,239 × 1,754, 320 pages (6.26 MB)PencakeBot (talk | contribs)Upload 溫特渥斯解析幾何學 (1/1) by 鄭家斌譯 (batch task; nlc:data_416,08jh013754,32323; 民國圖書-PD2022.2; 溫特渥斯解析幾何學)

You cannot overwrite this file.

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:NLC416-08jh013754-32323_溫特渥斯解析幾何學.pdf&oldid=803500734"