# Thread: Proving points lie on a line

1. ## 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:

Any help would be greatly appreciated.

2. 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

3. Originally Posted by earboth
Have a look here: Euler Line
That is extremely helpful, thanks very much.

Edit: I can't thankyou enough! Thankyou!