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#1 2013-07-22 01:11:57

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

Straight lines and circles

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! smile

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

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#2 2013-07-22 03:59:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,376

Re: Straight lines and circles

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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#3 2013-07-22 04:10:05

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

Re: Straight lines and circles

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 smile

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#4 2013-07-22 04:22:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,376

Re: Straight lines and circles

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.

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