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The 7 main types of quadrilaterals are the square, rectangle, rhombus, parallelogram, trapezium, kite and rhomboid.
Have a look at the picture I put into this other answer. It will show you the 7 quadralaterals. http://wiki.answers.com/Q/What_is_a_quadrilateral_where_each_angle_is_right_angle
The seven types of triangles are Isosceles, equilateral, scalene, equiangular, acute-angled, obtuse-angled, and right-angled
Calculus is essentially the collection of geometry, algebra, smarts, and arithmetic - all combined to help solve a greater problem that geometry, algebra, smarts, or arithmetic cannot solve on its own.So basically, Newton used all of geometry to help developcalculus.Calculus was already developed centuries ago in ancient China, India, and Egypt.