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

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Summary

Omar Kayyám's Geometric solution to cubic equation. To solve the third-degree equation x^3 + a^2x = b Khayyám constructed the parabola x^2 = ay, a circle with diameter b/a^2, 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.

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current20:47, 3 January 2017Thumbnail for version as of 20:47, 3 January 2017360 × 450 (827 bytes)127.0.0.1 (talk)Omar Kayyám's Geometric solution to cubic equation. To solve the third-degree equation x^3 + a^2x = b Khayyám constructed the parabola x^2 = ay, a circle with diameter b/a^2, 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.
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