Defining the Numberless Magnitudes: A Euclid Essay by Joshua Spooner, 2018

Euclid’s strange world of geometry, despite its peculiarities, progresses smoothly through four books from angles, to triangles on to squares, from circles to polygons and even combinations of all of these geometric objects. Book V of Euclid’s Elements presents its reader with a strikingly different and complex realm of magnitudes and ratios which cannot be …

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Playing Euclid: Alternative Proof by Julia Stanislav, 2018

Freshman Julia Stanislav has taken up the Euclidean challenge and given her own account of an alternate proof to Euclid Book V Propostion 22. Here is what Julia had to offer: If there be any number of magnitudes whatever, and others equal to them in multitude, which taken two and two together are in the …

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The Point of a Proof: to Prove the Enunciation or go Further? (2018)

     Euclid has shown through Books 1-4 that he has a specific method of organizing his work; each definition seems to be carefully placed in relation to each proposition, each Book put together thoughtfully. Euclid seems to abandon his previous mode of organization and coordination between books, however, when he begins Book 5. Suddenly, none …

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Ptolemy Essay 2013 Winner Revealed!

All high honors and congratulations for Reuben Delay of the junior Integral class for winning the sophomore math essay on Ptolemy as judged by Pr. Duke of Florida State University. His essay addresses the differences in Ptolemy and Copernicus’ conclusions on finding the motion and placement of the heavenly bodies. When reading Mr. Delay’s essay …

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