Euclid:Proposition/XIV/5

Proposition

In the words of Hypsicles of Alexandria:

(surface of dodecahedron) : (surface of icosahedron) = (side of pentagon) . (its perpendicular) : (side of triangle) . (its perp.).

(The Elements: Book $\text{XIV}$: Proposition $5$)

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