Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

## #1 2013-07-22 23:11:57

anna_gg
Full Member

Offline

### 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!

Last edited by anna_gg (2013-07-22 23:12:35)

## #2 2013-07-23 01:59:33

bobbym
Administrator

Offline

### Re: Straight lines and circles

Hi anna_gg;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #3 2013-07-23 02:10:05

anna_gg
Full Member

Offline

### 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

## #4 2013-07-23 02:22:02

bobbym
Administrator

Offline

### 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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## Board footer

Powered by FluxBB