ShubhamPaikraoSp
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Dec 12, 2016
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About This Presentation
school project........
Size: 2.91 MB
Language: en
Added: Dec 12, 2016
Slides: 12 pages
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S RINIVASA R AMANUJAN Born 22 December 1887 Erode , Madras Presidency , British Raj (now Tamil Nadu, India ) Died 26 April 1920 (aged 32) Kumbakonam , Madras Presidency , British Raj (now Tamil Nadu, India ) Residence Kumbakonam , Madras Presidency Madras , Madras Presidency London , United Kingdom Nationality Indian Fields Mathematics Institutions Trinity College, Cambridge Alma mater Government Arts College (no degree) Pachaiyappa's College (no degree) Trinity College, Cambridge ( BSc , 1916) Thesis Highly Composite Numbers (1916)
Born 476 CE Kusumapura ( Pataliputra ) (present day Patna [1] Died 550 CE Residence India Religion Hinduism Academic background Influences Surya Siddhanta Academic work Era Gupta era Main interests Mathematics , astronomy Notable works Āryabhaṭīya , Arya- siddhanta Notable ideas Explanation of lunar eclipse and solar eclipse , rotation of Earth on its axis , reflection of light by moon , sinusoidal functions , solution of single variable quadratic equation , value of π correct to 4 decimal places , circumference of Earth to 99.8% accuracy, calculation of the length of sidereal year Influenced Lalla , Bhaskara I , Brahmagupta , Varahamihira
QUADRILATERAL TYPE OF SQUARE PARALLELOGRAM TRAPEZIUM
Types of Quadrilaterals A closed plane figure bounded by four straight lines is called a quadrilateral. A quadrilateral has four vertices. The line segments joining the opposite vertices are called its diagonals. A quadrilateral has 4 angles. The sum of its interior angles is 360 ⁰. 8
Special Kinds of Quadrilaterals Parallelogram: If the line segments in each pair of opposite sides of a quadrilateral are parallel, then the quadrilateral is called a parallelogram. Rhombus: If all the sides of a parallelogram are congruent, then it is called a rhombus. 9
Special Kinds of Quadrilaterals Rectangle: If all the angles of a parallelogram are right angles, then the quadrilateral is called a rectangle. Square: If all the sides of a rectangle are congruent, then it is called a square. Trapezium: If in a quadrilateral, line segments in one pair of opposite side are parallel and the opposite sides in the other pair are not parallel, then the quadrilateral is called a trapezium. 10
Special Kinds of Quadrilaterals-kite If in a quadrilateral, two pairs of adjacent sides are equal, then it is called a kite. The diagonals of a kite are not equal but intersect each other at right angles. 11
You have learnt A closed plane figure bounded by four straight lines is called a quadrilateral. The sum of the interior angles of a quadrilateral is 360 ⁰. If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. If in a parallelogram, all sides are equal, then it is called a rhombus. If in a parallelogram, one of the angles is a right angle, then it is called a rectangle. If in a parallelogram, one of the angles is a right angle and all sided are equal, then it is called a square. 12