Every school student will recognize his name as the originator of that theorem which offers many cheerful facts about the square on the hypotenuse. ... Revolutionizing music, Pythagoras" findings generated theorems and standards for musical scales, relationships, instruments and creative formation. ... Based on Pythagorean harmonic relationships and Pythagorean geometry, bell-makers began constructing bells with the principal pitch prime tone, and hum tones consisting of a fourth, a fifth, and the octave. ...

• Word Count: 1354
• Approx Pages: 5
• Grade Level: Undergraduate

Proclus, the last major Greek philosopher, who lived around 450 AD wrote: Not much younger than these [pupils of Plato] is Euclid, who put together the "Elements", arranging in order many of Eudoxus' theorems, perfecting many of Theaetetus's, and also bringing to irrefutable demonstration the things which had been only loosely proved by his predecessors. This man lived in the time of the first Ptolemy; for Archimedes, who followed closely upon the first Ptolemy makes mention of Euclid, and further they say that Ptolemy once asked him if there were a shorted way to study geometry t...

• Word Count: 1938
• Approx Pages: 8

A young man who lived a brilliant, and tragically brief existence, he has been given a long list of titles. Many have seen him as a revolutionary, a lover, a romantic. His exceptional work earned him the label of genius, while his impetuous personality has caused others to think him a fool. Through ...

• Word Count: 2489
• Approx Pages: 10
• Grade Level: High School