where can i find geometry definitions for discovering geometry


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Definition
When two straight lines meet at a point they form an angle. The point at which the arms meet (O) is known as the vertex of the angle. The amount of turning from one arm (OA) to other (OB) is called the measure of the angle ( AOB) and written as m AOB. An angle is measured in degrees,..
Definition:
"The point of concurrency of the angle bisectors of the angles of triangle, is called the incentre". It is abbreviated as 'I'. To determine the incentre of a triangle, it is just sufficient to find the point of intersection of its two angles. The third angle bisector is bound to pass thro..
Some Important Definitions
Median - In a triangle, a line joining the midpoint of a side to the opposite vertex is called a median. AD is a median of ABC. In any triangle, it can be proved that all the three medians meet at a point. The point where the three medians meet is called the Centroid of the triangle. The ..
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 cu..
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..
To Find The Length of the Perpendicular
To find the length of the perpendicular from the point (x 1 ,y 1 ) on the line xcos a + ysin a =..
To find the distance of a line from the point (x1,y1)
i ) Replace x by x 1 and y by y 1 in the LHS of the expression. (RHS being zero). ..
To find the equation of the bisectors of the angle between ax+by+c=0 and ax1+by1+c1=0
To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0. Let the lines AB and CD intersect at S. Let P(x,y) be a point on the angle bisector of any one of the angles. Let P(x,y) be on SU, then the length PM of the perpendicular drawn from ..
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