Khayyam's Solution of a Cubic: All Roots

This applet demonstrates an extension of Khayyam's original geometric construction, which generated the positive root of a given cubic. Khayyam's semicircle is extended to a circle, and both part of the hyperbola are used to generate the negative roots (when they exist). Although such solutions would not have made sense in Khayyam's mathematical context, the applet demonstrates the generalizability of his method.

 

milansherman

 
Resource Type
Activity
Tags
cubic  khayyam 
Target Group (Age)
17 – 19+
Language
English (United States)
 
 
GeoGebra version
5.0
Views
1587
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