File:NLC416-06jh003343-77201 初等代數倚數變跡.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 ‎(862 × 1,058 pixels, file size: 1.9 MB, MIME type: application/pdf, 193 pages)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
初等代數倚數變跡   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
何魯著
image of artwork listed in title parameter on this page
Title
初等代數倚數變跡
Publisher
商務印書館[發行者]
Description

目錄
第一章
線節
代量節
總節
分節
周
霞爾氏定理
射影定義
點射影
線節射影
定理
任一周之總節在一軸之射影等於其分節射影之和
線節正射影量法
平面經緯
直線經緯平移法
第二章
變數與常數
倚數定義
一元倚數
符號
有定倚數
初等代數倚數
連倚數定義
系一 數運倚數之和之積仍為連倚數
系二 二連倚數之商於分母異於零時為連倚數
倚數變跡及曲線方程式
圓之方程式
增倚數與減倚數
斷倚數淺義
第三章 論倚數ax+b
定理
倚數ax+b為x之連倚數
如a為正則倚數為增倚數
倚數ax+b之變跡為一直線
反之如視x,y為平面
第四章 論倚數ax2+bx+c
定理ax2+bx+c為x之連倚數變變跡及討論
定理ax2+bx+c之變跡為一拋物線例解
倚數ax4+bx2+c之變跡
討論及例解
第五章 倚數±〓之變跡
幾近線定義及求幾近線法
討論
ⅰ a＜0
1 b2-4ac＜0倚數無變跡
2
3 b2-4ac＞0橢圓
ⅱ a＞0
1 b2-4ac＜0雙曲線
2
3 b2-4ac＞0雙曲線
ⅲ
1 b≠0拋物線
2
第六章 論倚數〓及其變跡
平行經緯軸之幾近線
討論〓及其相當變跡
例解
求倚數〓之極大極小
討論及變跡
例解
討論〓及其相當變跡
例解
求幾近線別法及例解
定理一直線只能交一m次曲線於m點
切線定義
曲線經過原點分枝之切線及其定法
第七章 極大極小淺論
當x1+x2+……xn＝常數，求乘積x1x2……xn之極大
如x+y+z＝常數　則xmynzp於〓時為極大
例解
倚數〓及±x〓之變跡
求y＝(a1x+b1)(a2x+b2)……(anx+bn)之極
大或極小〓（ax+b）不為常數
特例
並求y＝(a1x+b1)(a2x+b2)(a3x+b3)之變跡
廣例求y＝(a1x+b1)〓(a2x+b2)〓……(anx+bb)〓之極大或極小
討論y＝(a1x+b1)〓(a2x+b2)〓(a3x+b3)〓之變值及其變跡
幾何致用
等腰梯形之極大面積
習題 共三十六題

Language Chinese
Publication date 民國20[1931]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
O122/HL
主題
InfoField
初等代數
中圖分類
InfoField
O122
載體形態
InfoField
178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or service works, or audiovisual works, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation.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
current16:14, 10 June 2023Thumbnail for version as of 16:14, 10 June 2023862 × 1,058, 193 pages (1.9 MB)PencakeBot (talk | contribs)Upload 初等代數倚數變跡 (1/1) by 何魯著 (batch task; nlc:data_416,06jh003343,77201; 民國圖書.2; 初等代數倚數變跡)

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:NLC416-06jh003343-77201_初等代數倚數變跡.pdf&oldid=773100287"