File:Disquisitiones-Arithmeticae-p133.jpg

Original file(479 × 800 pixels, file size: 70 KB, MIME type: image/jpeg)

The original description page was here. All following user names refer to en.wikipedia.

Summary

Description
English: This is a scan of page 133 of the first edition of Gauss'

Disquisitiones Arithmeticae, containing the quadratic reciprocity law.

The symbols a and a` denote prime numbers of the form 4n+1, the symbols b and b` denote prime numbers of the form 4n+3. R stands for "is a square modulo" and N for "is not a square modulo". The third formula, for example, should be read as:

If a is a square modulo b, or equivalently, if -a is not a square modulo b; then both b and -b are squares modulo a.
Source Transferred from en.wikipedia to Commons by Maksim.
Author

Licensing

Public domain

This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author's life plus 70 years or fewer.


You must also include a United States public domain tag to indicate why this work is in the public domain in the United States.

date/time username edit summary
15:29, 1 February 2006 en:User:Lenthe (<span class="autocomment"><a href="/wiki/Image:Disquisitiones-Arithmeticae-p133.jpg#Summary" title="Image:Disquisitiones-Arithmeticae-p133.jpg">→</a>Summary</span>)
15:22, 1 February 2006 en:User:Lenthe (page 133 of the first edition of <a href="/w/index.php?title=Carl_Friedriech_Gauss&action=edit" class="new" title="Carl Friedriech Gauss">Gauss</a>' ''<a href="/wiki/Disquisitiones_Arithmeticae" title="Disquisitiones Arithmeticae">Disquisitiones Arithmeticae</a>'', containing the <a href="/wiki/Quadratic_reciprocity" title="Quadratic reciprocity">quadratic reciprocity law</a>. The symbols a and a' denote prime numbers of the form 4n+1, the symbols b and b' de)

Original upload log

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

Click on date to download the file or see the image uploaded on that date.

File history

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

Date/TimeThumbnailDimensionsUserComment
current16:26, 20 March 2006Thumbnail for version as of 16:26, 20 March 2006479 × 800 (70 KB)MaksimLa bildo estas kopiita de wikipedia:en. La originala priskribo estas: == Summary == This is a scan of page 133 of the first edition of Gauss' ''Disquisitiones Arithmeticae'', containing the [[quadratic reciprocity|quadratic r
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file:

Metadata