Find all integers
Find all integers n>1 so that there are n points on the plane, from which every point lies outside the circle which contains all the other points and has it's centre in one of it.
Re: Find all integers
I know the answer is: It is possible if, and only if, 2|n. But please help me in proving that for n that is not divisible by 2, it is impossible.
Re: Find all integers
"from which every point lies outside the circle which contains all the other points and has it's centre in one of it.", I can't get it.
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Re: Find all integers
"from which every point lies outside the circle which contains all the other points and has it's centre in one of it.", I can't get it.
Let me describe it another way. We have n points on the plane and for every point we should be able to create a crircle which contains all the other points and has centre in one of these points so that every other point aparat from the chosen one is included in it.
Let me describe it another way. We have n points on the plane and for every point we should be able to create a crircle which contains all the other points and has centre in one of these points so that every other point aparat from the chosen one is included in it.