The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Math Topics » geometry.pre-college

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
K. E. Pledger

Posts: 1,235
Registered: 12/3/04
Re: construction question
Posted: May 2, 2007 9:42 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

> ....
> 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.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.