Life and Work
Little is known about the life of Zenodorus, although he may have befriended Philonides and made two trips to Athens, as described in Philonides' biography. From the style of his writing, it is known that he lived not much later than Archimedes.
He is mentioned in Diocles' On Burning Mirrors:
And when Zenodorus the astronomer came down to Arcadia and was introduced to us, he asked us how to find a mirror surface such that when it is placed facing the sun the rays reflected from it meet a point and thus cause burning.
Zenodorus is known for authoring the treatise On isometric figures, now lost. Fortunately, we know many of its propositions from Theon of Alexandria's commentary on Ptolemy's Syntaxis. In his On isometric figures, Zenodorus studies the areas and perimeters of different geometric figures. The most important propositions proved by him are that,
- Of all regular polygons of equal perimeter, that is the greatest in area which has the most angles.
- A circle is greater than any regular polygon of equal contour.
- Of all polygons of the same number of sides and equal perimeter the equilateral and equiangular polygon is the greatest in area.
- Of all solid figures the surfaces of which are equal, the sphere is the greatest in solid content.
Read more about this topic: Zenodorus (mathematician)
Famous quotes containing the words life and/or work:
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—Jacques Roumain (1907–1945)
“Racism is when you have laws set up, systematically put in a way to keep people from advancing, to stop the advancement of a people. Black people have never had the power to enforce racism, and so this is something that white America is going to have to work out themselves. If they decide they want to stop it, curtail it, or to do the right thing ... then it will be done, but not until then.”
—Spike Lee (b. 1956)