Euclidean Geometry :: essays research papers

Euclidean GeometryGeometry was thoroughly organized in about three hundred BC, when the Grecianmathematician Euclid gathered what was known at the time, added original work ofhis own, and arranged 465 propositions into 13 books, called Elements. Thebooks covered non only plane and solid geometry but in like manner much of what is nowknown as algebra, trigonometry, and advanced arithmetic.Through the ages, the propositions hurl been rearranged, and many of theproofs atomic number 18 different, but the staple idea presented in the Elements has notchanged. In the work facts are not just cataloged but are developed in afashionable way.Even in 300 BC, geometry was recognized to be not just formathematicians. Anyone can benefit from the basic learning of geometry, whichare how to follow lines of reasoning, how to say precisely what is intended, andespecially how to base basic concepts by following these lines of reasoning.Taking a course in geometry is beneficial for all students, who will find thatlearning to reason and march convincingly is necessary for every profession. Itis true that not everyone must rise up things, but everyone is exposed to proof.Politicians, advertisers, and many other people try to cleft convincingarguments. Anyone who cannot tell a good proof from a severity one may easily bepersuaded in the wrong direction. Geometry provides a simplified universe, wherepoints and lines obey believable rules and where conclusions are easily verified.By premier(prenominal) studying how to reason in this simplified universe, people caneventually, by dint of practice and experience, learn how to reason in acomplicated world.Geometry in ancient times was recognized as part of everyones education.Early Hellenic philosophers asked that no one come to their schools who had notlearned the Elements of Euclid. There were, and stable are, many who resistedthis kind of education. It is said that Ptolemy I asked Euclid for an easier way