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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.
11 comments:
For #5 on page 181, are we allowed to use the theorem that the centroid is 2/3 the distance from any given vetex of the triangle? The book says after the question to then deduce that AO=2/3AD, so I am doubtfull.
If you deduce that AO is 2/3 AD early on it should be okay because technically we'd be doing what the problem wants us to... It doesn't seem likely, but the text book was ambiguous, so I'm just doing that...
Nevermind, I found a way around it- it's almost just as easy, too.
Any ideas for number 8?
My proofs were probably unnessecarily long tonight, but for number eight, using R as a centroid and having Q as the midpoint to AC really sealed the deal for me. I ended up having a midpoint for AD and midpoints for BC and CD, although I might not have used K... Thinking in broad terms for awhile about triangle ABD might help
Reveal your identity you Anonymous impostor to Mr. Kerai's blog!!!
I provved number 8 algebraically. Since AQ=1/2 AC and RC=1/3 AC, QR=1/2-1/3=1/6. Is this right?
i rule
Reveal your identity you Anonymous impostor of the Anonymous impostor!
(This is Scott/the first Anonymous impostor)
The person who posted "i rule" is an IMPOSTOR!!! Please reveal yourself!
Never!!
I know that you are Jack/ the impostor of the impostor!! Do not try to hide yourself!
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