D A Kent & D J Muraki

A Geometric Solution of a Cubic from Omar Khayyam ...

in which Coloured Diagrams are Used Instead of Letters for the Greater Ease of Learners

Published Feb 2016, Amer Math Monthly, 123

File Repository: paper draft with original figures: note: published paper has an incorrect icon in the proof (correct fig 8 below)

Worksheet + GeoGebra: this is a modified construction for which the hyperbola is in a fixed position.
-- choose positive a, b, c & check against numerical solution, or
-- colorize construction as in K&M, or label as in fauvel & gray (orientation flipped)

outside the box