Euclid:Proposition/XIV/3
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Proposition
In the words of Hypsicles of Alexandria:
- If there be an equilateral and equiangular pentagon and a circle circumscribed about it, and if a perpendicular be drawn from the centre to one side, then
$30$ times the rectangle contained by the side and the perpendicular is equal to the surface of the dodecahedron.
(The Elements: Book $\text{XIV}$: Proposition $3$)
Sources
- 1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.) ... (previous) ... (next): The Contents of the So-Called Book $\text{XIV}$. By Hypsicles