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Euclidean Geometry - Example Papers

Euclidean Geometry

Geometry was thoroughly organized in about 300 BC, when the Greek
mathematician Euclid gathered what was known at the time, added original work of
his own, and arranged 465 propositions into 13 books, called 'Elements'. The
books covered not only plane and solid geometry but also much of what is now
known as algebra, trigonometry, and advanced arithmetic.

Through the ages, the propositions have been rearranged, and many of the
proofs are different, but the basic idea presented in the 'Elements' has not
changed. In the work facts are not just cataloged but are developed in a
fashionable way.

Even in 300 BC, geometry was recognized to be not just for
mathematicians. Anyone can benefit ...

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Anyone who cannot tell a good proof from a bad one may easily be
persuaded in the wrong direction. Geometry provides a simplified universe, where
points and lines obey believable rules and where conclusions are easily verified.
By first studying how to reason in this simplified universe, people can
eventually, through practice and experience, learn how to reason in a
complicated world.

Geometry in ancient times was recognized as part of everyone's education.
Early Greek philosophers asked that no one come to their schools who had not
learned the 'Elements' of Euclid. There were, and still are, many who resisted
this kind of education. It is said that Ptolemy I asked Euclid for an easier way
to learn the material. Euclid told him there was no "royal road" to geometry
instead he told Ptolemy you will not learn what geometry is all about. What you
will learn is the basic shapes of some of the figures dealt with in geometry and
a few facts about them. It takes a ...

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Euclidean Geometry. (2006, July 22). Retrieved October 23, 2025, from http://www.essayworld.com/essays/Euclidean-Geometry/49548

"Euclidean Geometry." Essayworld.com. Essayworld.com, 22 Jul. 2006. Web. 23 Oct. 2025. <http://www.essayworld.com/essays/Euclidean-Geometry/49548>

"Euclidean Geometry." Essayworld.com. July 22, 2006. Accessed October 23, 2025. http://www.essayworld.com/essays/Euclidean-Geometry/49548.

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PAPER DETAILS

Added: 7/22/2006 09:36:09 PM
Category: Education
Type: Premium Paper
Words: 387
Pages: 2

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