File:Omar Kayyám - Geometric solution to cubic equation.png

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Summary

Description
English: Omar Kayyám - Geometric solution to cubic equation. To solve the third-degree equation x3 + a2x = b Khayyám constructed the parabola x2 = ay, a circle with diameter b/a2, and a vertical line through the intersection point. The solution is given by the length of the horizontal line segment from the origin to the intersection of the vertical line and the x-axis.
Source Own work
Author Ruud Koot 
Show[][][1 - (x - 1)^2], -Sqrt[1 - (x - 1)^2]}}, {x, -2, 
   2}, AspectRatio -> Automatic, PlotStyle -> Thick], 
 Graphics[][{{1, 2}, {1, -1/2}}], Red, 
   Line[{{0, 0}, {1, 0}}]}]]

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Date/TimeThumbnailDimensionsUserComment
current20:06, 15 March 2011Thumbnail for version as of 20:06, 15 March 2011346 × 432 (18 KB)Ruud Koot{{Information |Description ={{en|1=Omar Kayyám - Geometric solution to cubic equation}} |Source ={{own}} |Author =Ruud Koot |Date = |Permission = |other_versions = }} <source lang=mathematica> Show[][][
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