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

 
Materialtyp
Aktivität
Tags
cubic  khayyam 
Zielgruppe (Alter)
17 – 19+
Sprache
English (United States)
 
 
GeoGebra Version
5.0
Ansichten
1701
Kontaktiere Autor des Materials
 
 
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