File:NLC416-14jh000249-62361 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 ‎(970 × 1,306 pixels, file size: 669 KB, MIME type: application/pdf, 27 pages)

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Title
幾何學
image of artwork listed in title parameter on this page
Publisher
[出版者不詳]
Description

目錄
卷四 論面積
第一題 兩長方形若同高同底即相等
第二題 等底之兩長方形相比如其高相比
（一） 能求得其兩高之公准個者
（二） 若兩高相比無公准個者
系 等高之兩長方形相比如其底相比
第三題 異底異高兩長方形相比如各底乘其高相比
第四題 長方形之面積等於底乘高
第五題 平形方形之面積等於底乘高
第六題 三角形之面積等於底高相乘之半
系一 兩三角形之比例等於各底乘其高之比例
第七題 斜方形之面積等於兩對角線相乘之半
案 斜方形之面積等於底乘高
第八題 梯形之面積等於高乘平行兩底之半
系 梯形之面積等於高乘其不平行兩邊中點相連之線
第九題 求任多邊形面積之作法
第十題 求界以近似曲線之邊之任平面形面積之法
第十一題 兩直線連接之方等於各線方之和加兩線矩內形二倍
第十二題 兩直線較上之方等於此兩線方之和減兩線矩內形二倍
第十三題 兩直線之和與較相乘等於兩直線成方之較
第十四題 直角三角形弦方等於勾股方之和
系一 直角三角形靠直角兩邊之方及弦方與弦及由直角至底之垂線所分之兩段有比例
系二 直角三角形靠直角之一邊方及弦方與弦及由直角至底之垂線所截近之一段有比例
第十五題 凡三角形對銳角邊之方其面積等於余兩邊方之和減去其一邊之倍乘彼一邊之射影線
第十六題 凡三角形對鈍角邊之方其面積等於余兩邊方之和復加其一邊之倍乘彼一邊之射影線
第十七題 有法多邊形之面積等於用乘垂幅之半
第十八題 園之面積等於周乘半徑之半
系 圓之面積等於π乘r2
第十九題 圓心角形之面積等於其弧乘半徑之半
系一 圓心角形之面積等於〓
系二 圓分之面積等於其圓心角形減其所成三角形之面積
第二十題 相似三角形之面積相比如其相當邊之方相比
第二十一題 相似多邊形之面積相比如其相當邊之方相比
作法問題
第一題 求一圓之面積其半徑為4尺20寸者
第二題 求一半徑其圓之面積等於念四平方尺者
第三題 一圓分之面積等於念六平方尺及九寸六分若其底之弧為卅二度八分試問其弧為幾何長
第四題
第五題 試求
（一） 等邊三角形之面積基邊以a字代之
（二） 有法六邊形之面積其邊亦以a字代之
（三） 六圓分之面積其積為有法六邊形之邊及其外切圓圓周所限者
第六題 三角形abc已知其三邊，求其面積
第七題 求作一等積多邊形之三角形
案 若多邊形為凹形者其作法仍同
第八題 求作一正方形使等於已知二直線成方之和或其較
第九題 求作一方形使其與已知方形之比例如已知二直線之比例
第十題 求作一多邊形相似已定多邊形使其比例如已定二直線
案 求二多邊形之比例如以定二數之比例
第十一題 求作一長方形使其面積等於已知之正方形而其連腰之和或較等於已知之線

Language Chinese
Publication date [19--?]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/O18/8
主題
InfoField
幾何
中圖分類
InfoField
O18
載體形態
InfoField
13,8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
current09:43, 11 June 2023Thumbnail for version as of 09:43, 11 June 2023970 × 1,306, 27 pages (669 KB)PencakeBot (talk | contribs)Upload 幾何學 (1/1) by (batch task; nlc:data_416,14jh000249,62361; 民國圖書.8; 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:NLC416-14jh000249-62361_幾何學.pdf&oldid=775321330"