File:Congruum.svg

Original file (SVG file, nominally 599 × 489 pixels, file size: 2 KB)

Summary

Description
English: Two right triangles, one with side 7 and hypotenuse 13, and the other with side 13 and hypotenuse 17, have equal third sides of length √120. The square of this side, 120, is a congruum: it is the difference between consecutive values in the arithmetic progression of squares 72, 132, 172. Equivalently, the two annuli between the three yellow circles have equal areas, π times the congruum.
Date
Source Own work
Author David Eppstein

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

6 December 2014

image/svg+xml

66681c91be588a0d97f6d476e8d7debe8d7fc2eb

2,108 byte

489 pixel

599 pixel

File history

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

Date/TimeThumbnailDimensionsUserComment
current06:21, 7 December 2014Thumbnail for version as of 06:21, 7 December 2014599 × 489 (2 KB)David EppsteinUser created page with UploadWizard

The following page uses this file:

Global file usage

The following other wikis use this file:

Metadata