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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:
I'm having trouble with number 12. Can anyone give me a clue to how to get started, I have an idea, but can't think of a good, solid way to justify it. Maybe I'm just blanking out, but thanks....
I haven't done that problem yet, but when I get to it I'll try to help you out with that. As for me, I'm not exactly clear on the wording of 6 and 7 on 117. When it says "Write the indirect proof" does it mean stating the two facts and then making a conclusion?
I'm having trouble with 12 myself now...and 8 is confusing me. I'm sure it's just something I'm overlooking but... I'm still not sure what that elusive something is. (At least elusive to me)
I'm having the same problem as you guys. If I knew where to start, I could probably figure it out... But I don't have that something to get me started
I don't know if this is right, but for 12 I proved that triangles BJY and KJY were congruent. J is the point where the 2 lines intersect in ABC. Then you can prove that there are equal corresponding angles which is one of the ways you can prove lines parallel I think.
i'm having trouble with 6 on 117. can anyone help me get started?
hey i am having trouble with the proof and put a comment up on that homework but am wondering if anybody reads that far down the list so if you could read my questions and try and help it would be great. thanks
Chap, do you mean with number 12 or another problem? Not sure what you mean.
Okay...on number 6 on page 117, consider the statement that a is not parallel to c. Think of what this would mean for those two lines and for line b.
For number 12 on page 121, I like Virginia's suggestions for the congruence of triangles formed. I am guessing that her assignment of letter J and K were her own choice. She has explained J but I don't know where K is. However, her suggestion to consider the ways in which we know lines are parallel is important here. So think of what kinds of angles can be proved equal and then think if they contain any of the pairs of angles that can render two lines as parallel.
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