Wolfram Research

Mathematica MathWorld Wolfram Science More »

Perpendicular Lines Generated by a Quadrilateral


	The centroid of a triangle is the intersection of the lines drawn from the vertices to the midpoints of the opposite sides. The orthocenter of a triangle is the intersection of the altitudes. Let ABCD be a quadrilateral. Let O be the intersection of AC and BD. Draw lines between the centroids of AOB and COD and the orthocenters of BOC and DOA. Those lines are perpendicular.


	Contributed by: Jay Warendorff

See Mathematical Excalibur, May-June, 2008 p. 3, Problem 298.

Orthocenter (Wolfram MathWorld)

Perpendicular (Wolfram MathWorld)

Quadrilateral (Wolfram MathWorld)

Triangle Centroid (Wolfram MathWorld)

"Perpendicular Lines Generated by a Quadrilateral" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PerpendicularLinesGeneratedByAQuadrilateral/

Contributed by: Jay Warendorff

Report an issue »

Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now

Related Topics

Browse all topics

Some Related Demonstrations

Share & Bookmark This Demonstration

Contribute

Powered by Wolfram Mathematica

Give us your feedback

	Source page:
	Email	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. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

© 2009 Wolfram Demonstrations Project & Contributors

Wolfram Research

Site Index

RSS

Atom

Note: To run this Demonstration you need the free
Mathematica Player or Mathematica 7+