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Fundamental problems of Analytical Geometry
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..
Geometry constructions - Lines, Angles, Triangles
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..
Theorem 1
Each exterior angle for a regular polygon of n sides Number of sides of a regular polygon 2. At each vertex, one interior angle + one exterior angle = 180 o . How many sides has a regular polygon with each interior angle equal to 144 o ? [Each interior angle + each exterior angle = 180 o ..
Translation of Axes
An equation corresponding to a set of points with reference to a system of coordinate axes may be simplified by taking the set of points in some other suitable coordinate system, such that all geometrical properties remain unchanged. One such transformation is that in which the new axes are transfo..
Introduction
The word 'geometry' is derived from the Greek words 'geo' meaning 'earth' and 'metron', meaning 'measuring'. Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babyloni..
Basic Geometrical Concepts
Fundamental concepts of Geometry..
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..
Cartesion System (History)
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 bra..
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