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**anna_gg****Member**- Registered: 2012-01-10
- Posts: 113

Draw 4 points, not belonging (altogether) on the same straight line or same circle. How many straight lines and circles are equidistant from these 4 points? Just to clarify, the definition of the distance of a point P from a circle with center C, is the straight PA, where A is the node of the straight PC with the circle circumference. Please explain the reasoning!

*Last edited by anna_gg (2013-07-22 01:12:35)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,193

Hi anna_gg;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anna_gg****Member**- Registered: 2012-01-10
- Posts: 113

bobbym wrote:

Hi anna_gg;

Thanks. If YOU don't understand it, then I won't even try! Let alone that I have no clue where to find this book

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,193

Hi;

I worked on this problem a while back, I remember I came across this solution in "Challenging Mathematical Problems With Elementary Solutions Vol 1" by Yaglom and Yaglom. I did not understand his solution then and I am no smarter now. I am sorry for not being able to provide more.

I can copy their solution like a chimpanzee would, word for word if you like.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

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