Definition:Orthocenter

Definition

Let $\triangle ABC$ be a triangle.

The orthocenter of $\triangle ABC$ is where its three altitudes meet.

Also see

• Altitudes of Triangle Meet at Point, where the existence of the orthocenter is proved.

• Results about orthocenters of triangles can be found here.

Linguistic Note

In British English, orthocenter is spelled orthocentre.

Sources

• 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text {IV}$. Pure Geometry: Plane Geometry: The orthocentre
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): orthocentre
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): orthocentre
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): altitude
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): orthocenter