Geometric Loop

For discussing Olympiad level Geometry Problems
Hasib
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Geometric Loop

Unread post by Hasib » Sun Jun 05, 2011 1:55 pm

now a days, i am facing geometric loop in every problem. I mean, such as i have to prove one quadrangle cyclic, then i go revese, as it is cyclic i have to prove this angle=that angle. So, that angle should be equal that angle. So, one triangle should be equalaterial, then the first quad should cyclic.

:'( as i say, where i start, it stop there. Now, what can i do to get rid from this type of loop?
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Tahmid Hasan
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Re: Geometric Loop

Unread post by Tahmid Hasan » Sun Jun 05, 2011 9:31 pm

have you read the fact about Polya's mouse?
a problem must have a crack point.if not ,it's not a problem.
anyways cold you please give an example?
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*Mahi*
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Re: Geometric Loop

Unread post by *Mahi* » Mon Jun 06, 2011 12:09 am

Look for other points of a problem.There is almost no problem with only one assumption.Then try to get other data to make "The quadrilateral cyclic".
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Hasib
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Re: Geometric Loop

Unread post by Hasib » Mon Jun 06, 2011 9:49 am

thanks mahi and tahmid :)
A man is not finished when he's defeated, he's finished when he quits.

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