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Morley's trisector theorem

Posted: April 7th, 2015, 2:00 am
by Kundalini
Hi
i was reading a math book(The math book, clifford pickover) about math's history, and i found a theorem pretty old from 1899 that said if you do trisector in a triangle in the middle appear an equilateral triangule.

Maybe it can be useful for someone, when we do folds, at designing, etc.

here you can see the image http://en.wikipedia.org/wiki/Morley%27s ... or_theorem

Re: Morley's trisector theorem

Posted: April 7th, 2015, 9:15 pm
by Brimstone
I just made a nice bowl out of an equilateral triangle using this theorem, a difficult to photograph one, so I'm not uploading anything yet.

Thanks for the recommendation.

Re: Morley's trisector theorem

Posted: April 7th, 2015, 11:14 pm
by Brimstone
Here it is:
Image



And of course the base ot the model is the equilateral triangle resulting from the intersection of the trisection of the angles.

Re: Morley's trisector theorem

Posted: April 9th, 2015, 4:11 am
by Brimstone
In case anyone wants to experiment with the concept, here's the CP for the Bowl:

Image