WHAT IS GEOMETRY?.

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Presentation transcript:

WHAT IS GEOMETRY?

What is geometry? Euclid expressed the foundation of geometry two thousand years ago which we know today. We have the ‘’geometry’’ linked to the Greek word for ‘earth measure’. First of all , the facilities of the state of development consisted some practical procedures for measuring areas of fields. Naturally geometry was a science that based upon experience and observations. Common theories , postulates and proofs had not explained. The formulas and procuders of geometry that we use now, was born from needs. Today we usually think of geometry as a deductive science based the logical deduction of theorems.

For the moment, we have no ideas about the history of early geometry For the moment, we have no ideas about the history of early geometry. We are not sure from pictorial tablets that about 4000 B.C. The Babylonions discovered the area of rectangular field like the product of its length and width. We know that evidences of early engineering successes which are in babylon and in Egypt taht must be required by the use of geometric concepts.

The pyramids are known by striking evidence of early avhievements. One of the great pyramids is at Giza which was built 2900 B.C. This pyramid includes rooms having large granite roof members aproximately 200 feet above ground level.

-Although we have not got any written records of geometric knowledgeof these early Egyptions, the engineering makes success which are involved in the construction of the pyramids and the erection of grand stone obelisks definitely required the use of numerous concepts of areas and volume.

Indians in native geometry is a mathematical proof Indians in native geometry is a mathematical proof. More visual and experimental measurements are based on the rules. A thousand years of Greek geometry is used for a period of more visual.

In Euclid’s time there was no clean distinction between physical space and geometrical space. Since 19th century discovey of non. Euclidean geometry, the concept of space has undergone a radical transformation , and the question earose which geometrical space best fits physical space.

Geometric group theory is an expandingarea of the theory of more general discrete groups drawing on geometric modals and algebraic techniques. Functioning as a string of proof based geomtry 13 volume book which Elements is the first comprehesive working this area. This work used as an important reference source for two thousand years. Plane geometry, arithmetic,address book of Euclid’s geometry of solid objects in the main subjects.

Source Book: Fundamental Concepts Of Geometry, Bruce E. Meserve