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The School of Athens
Euclid, as imagined by Raphael in this detail from The School of Athens.
Jamshed Al-Kashi
Al-Kashi was one of the greatest mathematicians of the 15th century, calculating the sin(1*) correct to 16 decimal places.
Al-Beruni
The 11th century scientist and philosopher managed to estimate the radius of the earth using a very creative method that employed trigonometry.
4 comments:
For number two on page 67, there is probably some really simple answer that I am not seeing, but how do you prove that either angle APO = angle OQB or Ao=OB. I figure <1 and <2 being equal have soemthing to do with it, but I am not sure.
hey victoria! I think you might be able to prove it by proving that the two triangles are congruent, since that means all corresponding angles are equal. I'm not sure though.
actually maybe because they are both supplements of either angle 1 or angle 2 and those are equal, so they have to be.
I think you're right about the supplementary angle thing, Virginia. I was looking over the problem and since they only gave you one equal angle and side, you'd either have to prove another angle was equal, which the supplementary angle theorum would do, or prove that XPOQY bisects straight angle AOB, and I'm not really sure how to do that...
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