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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.
10 comments:
Perhaps I'm just being oblivious due to the fact that it's the weekend, but for number twelve, I'm aiming to prove that ABC is an equilateral triangle, but I'm getting stuck proving that BO and OK (the perpendicular bisector) is the same line and the same with CO and OQ. Help...?
Neevverrmind. I found a way to do it without classifying it as any sort of triangle.
In 12, can you say that all the little triangles formed by the perp. bisectors are 30-60-90?
That's how I ended up proving it; in turn, from that, one could prove all of ABC to be an equilateral triangle.
that's good work guys no... great work
jack (posted from web browser on Ps3)
For number 15 I'm stuck. Maybe I read the problem wrong, but I can't figure out how to prove that x is equidistant from AD and BC. I tried finding congruent triangles and also finding angles, but haven't been able to prove it.
Also, for #8 and 10, I understand how to prove them except I'm not sure the correct wording...
And for number 12, I used an algebraic approach with the isosceles triangles formed inside triangle ABC.
I am confused on how to solve 13. I was thinking it might have something to do with quadrilaterals, but i can't figure it out. can anyone help?
Hey class. I will not be at school today but I'll be refreshing this page until 3-15 p.m. I was having some trouble thinking these problems through but maybe it was just because of being sick. (I just tell myself that so when I come back to them later tonight when I'm hopefully feeling better, I will actually get them right.) Try to post back during class!
Connor, do you really think that people will be able to post back DURING class? Get as much done as possible and make sure to check the class conference folder because the take-home test with the additional documents for it will be attached.
I meant the class as a whole because I thought that there may had been a chance that you all would check it for some incite on the problems when checking the homework.
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