[sf-lug] py class: need math help!
Charles-Henri Gros
chgros at coverity.com
Sun Oct 5 10:22:42 PDT 2008
Alex Kleider wrote:
>
> I need some help with what seems to be elementary math/trig:
>
> Take a pencil and piece of paper and try to stay with me:
>
> We start at C for center of circle and based on that center
> draw an arc of radius r from A to B such that the angle ACB is equal to twice theta
> bisect our angle with a line from C to D at the midpoint of the arc.
> it intersects AB at E
> Now I've been assuming that triangles DEB and BEC were similar and therefore
> knowing ED and EB I was solving for CB (the radius.)
> i.e : tan theta = ED / EB
> and radius = CB = EB/sin theta
I don't think DEB and BEC are similar:
CBD is isoceles (CD = CB = r), so (CDB) = (CBD) = (180 - theta) / 2
(EDB) = (CDB); furthermore (BED) = 90 (right angle)
So: (EDB) = (180-theta)/2 = 90 - theta/2
(BED) = 90
(EBD) = 180 - (EDB) - (BED) = theta/2
And: BE = r sin(theta)
--
Charles-Henri
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