Euclidean Geometry :: essays research papers

euclidian GeometryGeometry was thoroughly organized in about 300 BC, when the Greekmathematician Euclid pull together what was known at the time, added original work ofhis own, and arranged 465 propositions into 13 books, called Elements. Thebooks cover not only plane and solid geometry and also often of what is nowknown as algebra, trigonometry, and advanced arithmetic.Through the ages, the propositions have been rearranged, and umteen of theproofs are different, but the introductory idea presented in the Elements has notchanged. In the work facts are not just cataloged but are true in afashionable way.Even in 300 BC, geometry was accept to be not just formathematicians. Any i can benefit from the basic accomplishment of geometry, whichare how to follow lines of reasoning, how to say precisely what is intended, andespecially how to prove basic concepts by following these lines of reasoning.Taking a course in geometry is dear for all students, who will find thatlearning to reason and prove convincingly is necessary for every profession. Itis true that not everyone must prove things, but everyone is exposed to proof.Politicians, advertisers, and galore(postnominal) other people try to offer convincingarguments. Anyone who cannot tell a good proof from a bad one may easily bepersuaded in the wrong direction. Geometry provides a simplify universe, wherepoints and lines obey believable rules and where conclusions are easily verified.By first analyze how to reason in this simplified universe, people caneventually, through act and experience, learn how to reason in acomplicated world.Geometry in antiquated times was recognized as part of everyones education.Early Greek philosophers asked that no one come to their schools who had notlearned the Elements of Euclid. There were, and still are, many who resistedthis kind of education. It is said that Ptolemy I asked Euclid for an easier way