Euclid Paper - Heaton Mitchell T. Heaton Mr. Szorc Honors...

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Heaton Mitchell T. Heaton Mr. Szorc Honors Geometry 8 December 2008 Euclid’s Window “There is no royal road to geometry.” These words of Euclid run true throughout the history of geometry. From the first distinctions of mathematical computation to present day, mathematics has come a long way. Euclid’s Window: The Story of Geometry from Parallel Lines to Hyperspace starts with the very beginning of mathematics and develops all the way to the history of geometry. With diagrams and explanations galore, Leonard Mlodinow takes the reader through a geometric journey. Euclid’s Window begins with “the Story of Euclid” and the conception of geometry. This section tells of the roots of geometry—literally beginning with the roots of the word geometry, which is the Greek word for earth measurement. Mlodinow continues to speak about the early forms of geometry and the Egyptians. The Egyptians were the first people to truly utilize geometry, doing so in their everyday lives through the building of the pyramids and the taxation of land. They showed superior intellect in their calculations. They developed a system of ropes and distances that resembled a concept similar to the Pythagorean Theorem. Using the Egyptians foundation, mathematicians soon began to develop true geometry. Thales was the first man who could truly be called a mathematician and was followed by a man named Pythagoras. Because of Thales, Pythagoras journeyed to Egypt and developed a strong geometric mind that observed concepts such as numerical patterns and the Pythagorean Theorem.
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Heaton After describing a plethora of Pythagoras’ findings, Leonard Mlodinow begins to describe Euclid. A man who came to the geometry scene in about 300 B.C., Euclid was not a pure mathematical genius, but took most of the theorems and postulates that he compiled in his book, Elements , from other mathematicians. Euclid was focused upon being accurate in his geometric findings but based some of his work on common knowledge. Elaborating on Euclid’s
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This note was uploaded on 02/26/2012 for the course GENERAL 101 taught by Professor None during the Spring '12 term at Aurora University.

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Euclid Paper - Heaton Mitchell T. Heaton Mr. Szorc Honors...

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