Perpendiculars from the Midpoints of the Orthic Triangle


	Let ABC be a triangle. The triangle formed by the endpoints of the altitudes is called the orthic triangle of ABC. Perpendicular lines from the midpoints of the sides of the orthic triangle of ABC to the opposite sides of ABC are concurrent.


	Contributed by: Jay Warendorff

Concurrent (Wolfram MathWorld)

Orthic Triangle (Wolfram MathWorld)

Perpendicular (Wolfram MathWorld)

"Perpendiculars from the Midpoints of the Orthic Triangle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PerpendicularsFromTheMidpointsOfTheOrthicTriangle/

Contributed by: Jay Warendorff

Free Download: Mathematica Player--Runs all Demonstrations & more

Plane Geometry
Triangles

Browse all topics

Circumradii Perpendicular to the Sides of the Orthic Triangle
Bisectors of the Angles of the Orthic Triangle
The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle
The Triangles Cut Off by the Sides of the Orthic Triangle
A Concurrency from Midpoints of Arcs of the Circumcircle
The Ratio of a Side of a Triangle to the Corresponding Side of the Orthic Triangle
The Product of the Perpendiculars to the Sides of a Triangle
The Perpendicular Bisectors of a Triangle
A Concurrency from a Point and a Triangle's Excenters
A Collinearity from the Medial and Excentral Triangles

Email
Link to URL
Embed
Bookmark

Make a new version of this Demonstration
Upload a new Demonstration

Source page:

Name (optional)

Occupation (optional)

Organization (optional)

I use Mathematica:

often

occasionally

never

Country (optional)
Remember me

Note: Please do not include anything you consider confidential or proprietary. We will keep your information private. We will not give it to any third party.
Privacy Policy »