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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...
Introduction
We are familiar with plane figures bounded by straight line segments as sides. They are known as Polygons. Polygon is a word of Greek origin. It means figure with many angles implying many side..
Parallelograms Introduction
Introduction - We are familiar with plane figures bounded by straight line segments as sides. They are known as Polygons . Polygon is a word of Greek origin. It means figure with many angles implying many sides. Squares, rectangles and other four-sided geometric figures formed by the unio..
Locus of points equidistant from two given points
Locus of points equidistant from two given points - Mark two points M and N, 6 cm apart. Locate points P 1 and P 2 on either side of AB such that P 1 M=P 1 N=3.5 cm Locate points Q 1 and Q 2 such that Q 1 M = Q 2 M = 4.5 cm Observe the pattern of geometric figure formed. The geometric figure formed..
Definition:
"The point of concurrency of the bisectors of the sides of a triangle is called the circumcentre". It is abbreviated as 'S'. To determine the circumcentre of a triangle, it is just sufficient to find the point of intersection of any two perpendicular bisectors of the sides of a triangle. The third ..
Definition:
The point of concurrency of the three altitudes of a triangle is called its "Orthocentre". It is generally abbreviated as 'O'. To locate orthocentre it is sufficient to draw altitudes of any two sides of a triangle. The third altitude will then automatically pass through i..
Some Important Definitions
Median : In a triangle, a line joining the midpoint of a side to the opposite vertex is called a media..
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..
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