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

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Summario

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.
Origine Obra proprie
Autor 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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18 669 Byte

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432 pixel

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346 pixel

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image/png

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b27245f92a4be36faabe9d0d56681c57a84aae9a

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Data/HoraMiniaturaDimensionesUsatorCommento
actual21:06, 15 martio 2011Miniatura pro le version de 21:06, 15 martio 2011346 × 432 (18 KB)wikimediacommons>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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