File:NLC416-08jh009974-8765 近世幾何學.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: 5.93 MB, MIME type: application/pdf, 354 pages)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
近世幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
〔英〕E. A. Askwith著
image of artwork listed in title parameter on this page
Title
近世幾何學
Publisher
商務印書館[發行者] (上海)
Description

目錄
第一章 三角形之性質
定義
垂心
九點圓
西摩松線
重心
第二章 圓之性質
極點與極線
點對與線對
根軸
同軸圓
公切線
第三章 正負號，共點性與共線性
直線
面積
角度
孟萊勞定理及西華定理
等角線對
副重心
第四章 射影
一般定理
角之射影
列點之射影
第五章 交比
定義
二十四種交比式
交比之射影
等交比之列點及束線
第六章 透視
定義
透視之列點及束線
相似之列點及束線
透視三角形
第七章 調和點列
定義及性質
圓之極點與極線之調和性質
四邊形及四角形之調和性質
第八章 對合列點
定義
對合列點及對合束線之射影
圓之對合性質
正交束線
第九章 圓錐曲線
定義
焦點及準線
射影性質
焦點準線與極點極線
平行弦
焦點與準線之性質
拋物線
橢圓
雙曲線
直徑與縱坐標
第十章 圓錐曲線共有之性質
弦及切線與準線之關係
具有焦點準線之關係之曲線乃圓之射影
一對切線
法線
正焦弦
卡諾定理
牛頓定理
牛頓定理之應用
曲率圓
極三角形
第一十章 拋物線
淺易之定理
切線及法線
一對切線
旁切三角形
直徑
曲率圓
第十二章 橢圓
焦點距離之和
切線與法線
一對切線
准圓
直徑對
輔圓
等直徑對
曲率圓
第十三章 雙曲線
曲線之形狀
焦點距離之差
切線與法線
對應軸
一對切線
准圓
對應雙曲線
漸近線
對應直徑
曲率圓
第十四章 等腰雙曲線
對應直徑
正交直徑
內切三角形
弦與切線
第十五章 直角射影
定義
主要定理
橢圓為圓之直角射影
第十六章 圓錐曲線之交比性質
p（abcd）為常數
巴斯格爾定理
布利安桑定理
同過四點之圓錐曲線之心之軌跡
圓錐曲線上之對合列點
第十七章 對極法
定義
四角形及四邊形之對合性質
笛沙兒定理
對極應用於圓錐曲線
以圓為底之對極
同軸圓之定理
互成對之二三角形
第十八章 虛圓點，焦點
虛圓點之定義
解析方法
虛圓點之於圓錐曲線
圓錐曲線之四焦點
切於一圓錐曲線之二三角形
虛圓點射影法
第十九章 反圓變換
直線及圓之反圓變換
球體之反圓變換
逆點之反圓變換
伏愛爾巴定理
第二十章 相似之圖形
同位相似
正相似
二圓之相似圓
反相似

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
近世幾何
中圖分類
InfoField
O123.6
拼音題名
InfoField
jin shi ji he xue
載體形態
InfoField
342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or service works, or audiovisual works, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation.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
current11:19, 10 June 2023Thumbnail for version as of 11:19, 10 June 20231,239 × 1,754, 354 pages (5.93 MB)PencakeBot (talk | contribs)Upload 近世幾何學 (1/1) by (英)E. A. Askwith著 (batch task; nlc:data_416,08jh009974,8765; 民國圖書.4; 近世幾何學)

You cannot overwrite this file.

The following page uses 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:NLC416-08jh009974-8765_近世幾何學.pdf&oldid=773014541"