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Summary

Description
English: Archimedean decomposition of a parabolic segment into infinitely many triangles. Each green triangle is 1/8 of the area of the blue triangle, each yellow triangle is 1/8 the area of a green triangle, and so forth.

Assuming the blue triangle has area 1, the total area under the parabola is

.
The sum of this geometric series is 4/3.
Français : Paràbola d'Arquimedes
Date 10 August 2007, 00:08
Source http://en.wikipedia.org/wiki/Image:Archimedes_Parabola.png
Author Jim.belk

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This work has been released into the public domain by its author, Jim.belk, at the English Wikipedia project. This applies worldwide.

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Jim.belk grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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The original description page was here. All following user names refer to en.wikipedia.
  • 2007-08-10 00:08 Jim.belk 500×437× (19218 bytes) Archimedian decomposition of a parabolic segment into infinitely many triangles. Each green triangle is 1/8 of the area of the blue triangle, each yellow triangle is 1/8 the area of a green triangle, and so forth. Assuming the blue triangle has area 1,

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Date/TimeThumbnailDimensionsUserComment
current17:55, 30 March 2008Thumbnail for version as of 17:55, 30 March 2008500 × 437 (19 KB)JRGomà{{Information |Description=Paràbola d'Arquimedes |Source=http://en.wikipedia.org/wiki/Image:Archimedes_Parabola.png |Date= 00:08, 10 August 2007 |Author=Jim.belk |Permission= |other_versions= }}

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