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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.
5 comments:
I have a question about number 14 on page 109. I don't really understand what we are trying to prove. To me the problem is saying that the projections of PA and PB are equal so prove that. Could someone clarify? Thanks.
Well, remember that the projections of PA and PB are not the same line segments as PA and PB. A and B are on the horizontal plane, M, but P is not on the plane. You must try and draw the situation and then figure out what is meant by the "projections" of the line segments on the plane as we discussed in class on the block day. Also, just a page before that question is a little write-up in the book on projections of lines onto planes, in case you wanted some reference.
I understnad the difference now. Thank you.
I don't quite get how to prove number 1 (a) and (b). We are proving the perpendicularity (is that a word?) of the planes, which is intuitively true, but can't you just spit out theorem 10 from the book as your proof? Am I understanding the question correctly?
I'm pretty sure you can use the theorem, Scott, but just make sure to explain it. I know this response is a bit delayed, so I hope I'm not too late to answer your question
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