AbulWafa crater on the moon and a small planet discovered by the Russian astronomer are named after in whose honor and what were his major contributions ?
Abu Wafa was a great mathematician, his main contribution lies in several branches of mathematics, especially geometry and trigonometry. In geometry his contribution comprises solution of geometrical problems with opening of the compass; construction of a square equivalent to other squares; regular polyhedra; construction of regular hectagon taking for its side half the side of the equilateral triangle inscribed in the same circle; constructions of parabola by points and geometrical solution of the equations:
x4 = a and x4 + ax3 = b
Abul Wafas contribution to the development of trigonometry was extensive. He was the first to show the generality of the sine theorem relative to spherical triangles. He developed a new method of constructing sine tables, the value of sin 30 being correct to the eighth decimal place. He also developed relations for sine (a+b) and the formula: :2 sin2 (a/2) = 1 cos a , and sin a = 2 sin (a/2) cos (a/2)
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