# Proving points lie on a line

• Sep 1st 2009, 11:12 PM
RAz
Proving points lie on a line
Hello! I'm having trouble with my proof.

Definitions:

Centroid of a triangle ABC: G
Orthocentre of a triangle ABC: H
Circumference of a triangle ABC (circle passes though the vertices, A, B, C): O

Question: Prove that G, H and O of any triangle lie on any line.

Proofs are my Achilles heel. So far the only progress I have made is:

http://img12.imageshack.us/img12/7818/geometry.jpgAny help would be greatly appreciated.
• Sep 1st 2009, 11:41 PM
earboth
Quote:

Originally Posted by RAz
Hello! I'm having trouble with my proof.

Definitions:

Centroid of a triangle ABC: G
Orthocentre of a triangle ABC: H
Circumference of a triangle ABC (circle passes though the vertices, A, B, C): O

Question: Prove that G, H and O of any triangle lie on any line.

Proofs are my Achilles heel. So far the only progress I have made is:

Any help would be greatly appreciated.

Have a look here: Euler Line
• Sep 2nd 2009, 12:13 AM
RAz
Quote:

Originally Posted by earboth
Have a look here: Euler Line

That is extremely helpful, thanks very much. (Rofl)

Edit: I can't thankyou enough! Thankyou! :D