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

You are not logged in.

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

anna_gg
Member
Registered: 2012-01-10
Posts: 232

### 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 01:12:35)

Offline

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: Straight lines and circles

Hi anna_gg;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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

anna_gg
Member
Registered: 2012-01-10
Posts: 232

### 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

Offline

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

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline