An Overview of the Euclidean Geometry

An Overview of the Euclidean Geometry

Document details
Category: Mathematics Essay
Subcategory: Geometry
Words: 390
Pages: 2

Euclidean GeometryGeometry was thoroughly organized in about 300 BC, when the Greekmathematician Euclid gathered what was known at the time, added original work ofhis own, and arranged 465 propositions into 13 books, called 'Elements'. Thebooks covered not only plane and solid geometry but also much of what is nowknown as algebra, trigonometry, and advanced arithmetic.Through the ages, the propositions have been rearranged, and many of theproofs are different, but the basic 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 prove 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 prove convincingly is necessary for every profession. Itis true that not everyone must prove things, but everyone is exposed to proof.Politicians, advertisers, and many 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 simplified universe, wherepoints and lines obey believable rules and where conclusions are easily verified.By first studying how to reason in this simplified universe, people caneventually, through practice and experience, learn how to reason in acomplicated 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 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 wayto learn the material. Euclid told him there was no "royal road" to geometryinstead he told Ptolemy you will not learn what geometry is all about. What youwill learn is the basic shapes of some...

“A good sample is better than the advice"
Did you like the work? We are ready to help you now!
similar examples
An Overview of the Different Types of Geometry and Their Purposes
Category: Mathematics
628 words
3 pages
Euclidean Geometry EssayThere are many different types of geometry. Some examples include, Euclidean, elliptic, and hyperbolic. But what do they do? And how do you use them? Euclidean geometry is a system consisting of that assuming a small set of intuitively appealing axioms, and deducing many other propositions. Elliptic geometry ...
An Overview of the Strategic Geometry and the International Relations of Asia
Category: Mathematics
4821 words
18 pages
International Relations Of AsiaSTRATEGIC GEOMETRY"This is the only region in the world where so many combinations andpermutations of two- three and four- and even two plus four or three plus three-power games can be played on the regional chessboard with all their complexitiesand variations."introductionThe concept of strategic geometry comprises the ...
An Overview of the Greek Mathematics Centered on Geometry by Euclid
Category: Mathematics
906 words
2 pages
Greek MathematicsCentered on Geometry (Euclid)The ancient Greeks have contributed much to the development of the Western World as we know it today. The Greeks questioned all and yearned for the answers to many of life s questions. Their society revolved around learning, which allowed them to devote the majority of ...
An Overview of Strategic Geometry
Category: Mathematics
4817 words
14 pages
STRATEGIC GEOMETRY"This is the only region in the world where so many combinations andpermutations of two- three and four- and even two plus four or three plus three-power games can be played on the regional chessboard with all their complexitiesand variations."introductionThe concept of strategic geometry comprises the notion that that ...
A Discussion of Euclidean Geometry
Category: Mathematics
1023 words
2 pages
Euclidean Geometry Since the beginning of mankind there has always been mathematics and from that, geometry. Because of its practical uses in everyday life and in building and developing, many ancient civilizations like the Egyptians and Babylonians mastered the concepts of geometry and passed down as knowledge throughout generations. The ...
An Analysis of Euclidean Geometry
Category: Mathematics
416 words
2 pages
Check the wording and make sure there arnt words you wouldnt use, its about 2 pages or so He liked it a lot.Said it had many good points EUCLIDEAN GEOMETRY Geometry was thoroughly organized in about 300 BC, when the Greek mathematician Euclid gathered what was known at the time, ...
GET EVEN A BETTER ESSAY!
To Find A Paper
It's a lifetime discount time!
15% off
Save this discount code:
15OFFJUST4U