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 Born
22 December 1887
Erode, Madras Presidency, British Raj(nowTamil Nadu, India)
 Died
 26 April 1920 (aged 32)
Kumbakonam, Madras Presidency,British Raj (nowTamil
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 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

TYPE OF
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
• 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
• 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

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Mathematician marathi

  • 1.
  • 2.
  • 3.
  • 4.  Born 22 December 1887 Erode, Madras Presidency, British Raj(nowTamil Nadu, India)  Died  26 April 1920 (aged 32) Kumbakonam, Madras Presidency,British Raj (nowTamil 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)
  • 5.
  • 6.  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 
  • 8. 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
  • 9. • 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
  • 10. • 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
  • 11. 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
  • 12. 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