ISLAMIC GEOMETRY

Question 1

Greek sources

Answer 1

1. Euclid’s elements

2.sphere & cylinder and measurement of circle

3. the conics - Apollonius

Question 2

diameter x 3/7 = circumference

Answer 2

Al Khwarizmi

Question 3

who and which book- studied the problem of constructing a large square out of 3 identical squares

Answer 3

Al Buzjani - On the geometrical constructions necessary to the artisan

Question 4

gave detailed construction of heptagon

Answer 4

Al Sizji - 10th cent.

Question 5

how to draw conic sections

Answer 5

Ibn Sinan- ‘On the Motions of the Sun’. & ‘On drawing the conic sections’

Question 6

The Parallel Postulate

Answer 6

1. Euclid
2. if a line segment intersects 2 straight lines forming 2 interior angles on the same side that add upto 180deg then they meet on the side where sum of sngles is less than 180deg

Question 7

Tried to prove parallel postulate

Answer 7

Ibn Al Haytham in - ‘Comment on the Premises of Euclid’s elements’

Question 8

Method of Exhaustion

Answer 8

technique invented by classical greeks pioneered by exodus to find area of shape by inscribing. sequence of polygons whose area converges to the area of containing shape

Question 9

used method exhaustion

Answer 9

Archimedes in ‘On the Sphere and Cylinder’