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Topic: construction question
Replies: 6   Last Post: May 10, 2007 8:02 PM

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K. E. Pledger

Posts: 1,235
Registered: 12/3/04
Re: construction question
Posted: May 2, 2007 9:42 PM
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> ....
> Given 4 points A,B,C,D on a straight line, show how
> to construct a point P on the line such that
> PA.PD=PB.PC ....


Presumably this is homework; but since nobody else has yet ventured a hint, you may like to try this. One of your theorems says something about PA.PD if A and D are on a circle, and similarly for PB.PC. So draw a circle through A and D, and another circle through B and C, choosing these two circles so that they intersect at two points E and F. Can you see how that helps?

Ken Pledger.



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