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SRINIVASA RAMANUJAN 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 PresidencyLondon, 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 andsolar 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
QUADRILATERALTYPE OFSQUAR
EPARALLELOGRAMTRAPEZIUM
Types of Quadrilaterals
• A closed plane figure boundedby four straight lines is called aquadrilateral.
• A quadrilateral has fourvertices.
• The line segments joining theopposite vertices are called itsdiagonals.
• A quadrilateral has 4 angles.The sum of its interior angles is360 ⁰.
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Special Kinds of Quadrilaterals
• Parallelogram:If the line segments in each pair of oppositesides of a quadrilateral are parallel, then thequadrilateral is called a parallelogram.
• Rhombus:If all the sides of a parallelogram are congruent,then it is called a rhombus.
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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 iscalled a square.
• Trapezium:If in a quadrilateral, line segments in one pair ofopposite side are parallel and the opposite sides in theother pair are not parallel, then the quadrilateral iscalled a trapezium.
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Special Kinds of Quadrilaterals-kite
• If in a quadrilateral, two pairs ofadjacent sides are equal, then it iscalled a kite.
• The diagonals of a kite are not equalbut intersect each other at rightangles.
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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 thequadrilateral 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 arectangle.
• If in a parallelogram, one of the angles is a right angle and all sided are equal,then it is called a square.
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