Archimedes studied isoepiphany, later handled by an arabic scholar al Haytham but I can't find a defintion?
2026-03-27 11:24:40.1774610680
What is isoepiphany in math?
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Note "isoperimetry" and "isoepiphany" are often listed together.
Classically, the isoperimetric theorem is: among plane figures with given perimeter, the figure of maximum area is the circle. The corresponding isoepiphanic theorem is: among solid bodies with given surface area, the body of maximum volume is the sphere.
Classical Greek geometers formulated these but did not prove them.
quoted from:
Danilova, N. Ī., "The development of the traditional methods of isoperimetric theory".(Russian) Sketches on the history of mathematical physics (Russian), 41–47, vol. 184 (1985)