In the development of plane geometry, we make some axioms and then deduce results by logical reasoning. The whole part is equal to the sum of its parts and greater than any of its parts. \(a > b\) and \(b > c \Rightarrow a > c.\) Sometimes axioms are intuitively evident, as is clear from the following examples: Define Axioms and PostulatesĪxioms: Axioms are the basic facts that are taken for granted without proof. That is why it is popularly called Euclid’s geometry. ![]() ![]() The geometry of plane figures is also based upon the approach of deductive logic. He introduced the method of proving the geometrical result by deductive reasoning based upon previously proved results and some self-evident specific assumptions known as axioms. Euclid was the first Greek mathematician who initiated a new way of thinking about the study of geometry. Thale and his pupil Pythagoras were among them. The knowledge of geometry passed from the Egyptians to the Greeks, and many Greek mathematicians worked on geometry. The Babylonians discovered formulae for finding the areas of various rectilinear figures. They were mainly concerned with finding the areas of plane figures such as triangles, rectangles etc., later. ![]() Ancient Egyptians were the first people to study geometry. Thus, the word geometry means the measurement of the earth. The word ‘geometry’ is derived from the Greek words “geo”, meaning “earth”, and “metron”, meaning measuring.
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