introduction to non euclidean geometry


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Question 10
Question: Though Euclid did not require his fifth postulate to prove his first 28 theorem, why is this postulate most significant? Answer: Euclid and many other mathematicians thought that the fifth postulate can be proved by using just the four postulates and the axioms. All the attem..
Introduction
Geometry deals with the study of shape, size, position and other properties of objects in a plane or in spa..
Introduction
Rene' Descartes' (1596-1665), a French philosopher and mathematician, introduced a method by which the position of a point can be corresponded with an ordered pair of real numbers. These pair of real numbers are called the Coordinates. This method is the new idea of combining two branches of mathe..
Introduction
Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babylonians studied in a systematic wa..
Introduction
Rene' Descartes' (1596-1665), a French philosopher and mathematician, introduced a method by which the position of a point can be corresponded with an ordered pair of real numbers. These pair of real numbers are called the Coordinates. This method is the new idea of combining two branches of ..
Introduction
Introduction - Every geometric figure has a shape and a size. Two circles of different radii have the same shape but their sizes are different. But if we draw two circles of the same radius both the shape and size will be the same. Such figures with the same shape and size are called cong..
Introduction
Geometry deals with the study of shape, size, position and other properties of objects in a plane or in spac..
Introduction
Triangles are classified on the basis of the lengths of their sides as scalene, isosceles, or equilateral triangles. When any two sides of a triangle are equal it is called as an "isosceles triangle". The unequal side is called its base and the angle opposite the base is called the "vertical angle"..
Introduction
A triangle is a geometrical figure formed by three lines, which intersect each other and which are not all concurrent. A triangle ABC has six parts namely three angles and their sides namely AB, BC, CA. Triangles can be classified either on the basis of the sides or on the basis of the angl..
Introduction
Sometimes it is necessary in geometry to specify the location of all points satisfying one or more conditions. For example, location of set of points equidistant from two given points, location of set of points equidistant from a given point etc. This is done by considering a set of point..
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