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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.
8 comments:
In the homework journal I assume?
can anyone push me in the right direction for number 1?
nevermind
can anyone help me with 12?
Virginia, I started by frist looking at triangles CDA and BDA in relation to each other and then triangle DBA in relation to triangle ABC. Hope this helps.
For number 15, I figured out a, but b is making me confused. Can someone help me in figuring out how triangles BPS and QCR are similar, if that is the path you are supposed to take.
Jack, I have your homework journals so you can't possibly do it in there. Remember, this is classwork and so do it in your notebook.
As for other questions, I shall leave it upon all of you to figure things out and help each other out.
Cheers
well since AB and AC are transversals of PQ and BC you know that angle APQ=ABC and AQP=ACB and angles A PSB, and QRC are all 90 degreesso with this info you can prove that each little triangle is equal to triangle APQ. In triangle QRC, angle QRC = angle A, and angle ACB = angle AQP, so we know that angle CQR must equal angle APQ which equals angle ABC and by the same method angle BPS must equal ACB. So you know that all three angle in the little triangle are equal which is more than enough for ~ity or similarity. But i couldn't figure out the (PS)squared stuff. How this helps just a little bit Victoria
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