10854
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Circumcircle of the Orthocenter and Two Vertices and a Parallelogram
Let ABC be a triangle. Let the perpendicular from the orthocenter H to the altitude HC intersect the circumcircle of HBC at P. Then ABPH is a parallelogram.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Orthocenter
(
Wolfram
MathWorld
)
Parallelogram
(
Wolfram
MathWorld
)
Perpendicular
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Circumcircle of the Orthocenter and Two Vertices and a Parallelogram
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheCircumcircleOfTheOrthocenterAndTwoVerticesAndAParallelogr/
Contributed by:
Jay Warendorff
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Area of a Hexagon Formed by the Vertices and Altitude Extensions of a Triangle
Jay Warendorff
Perpendicular Lines Generated by a Quadrilateral
Jay Warendorff
A Hexagon with Opposite Sides Parallel
Jay Warendorff
The Excentral Triangle and a Related Hexagon
Jay Warendorff
A Parallelogram with Vertices on Two Circles
Jay Warendorff
The Minkowski Sum of Two Triangles
George Beck
Hinged Dissection of an Equilateral Triangle into Two Hexagons
Izidor Hafner
Nested Polygon Disks
Michael Schreiber
Total Areas of Alternating Subtriangles in a 2n-gon
Jay Warendorff
Tangents to the Circumcircle at the Vertices
Jay Warendorff
Related Topics
Plane Geometry
Polygons
Triangles
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+