10854
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Circumradii Perpendicular to the Sides of the Orthic Triangle
The radii from the center O of the circumcircle of a triangle to its vertices are perpendicular to the corresponding sides of the orthic triangle.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See Theorem 188 in N. Altshiller-Court,
College Geometry
, Mineola, NY: Dover, 2007 p. 98.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Orthic Triangle
(
Wolfram
MathWorld
)
Perpendicular
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Circumradii Perpendicular to the Sides of the Orthic Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CircumradiiPerpendicularToTheSidesOfTheOrthicTriangle/
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
Perpendiculars from the Midpoints of the Orthic Triangle
Jay Warendorff
The Triangles Cut Off by the Sides of the Orthic Triangle
Jay Warendorff
The Ratio of a Side of a Triangle to the Corresponding Side of the Orthic Triangle
Jay Warendorff
The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle
Jay Warendorff
The Product of the Perpendiculars to the Sides of a Triangle
Jay Warendorff
Bisectors of the Angles of the Orthic Triangle
Jay Warendorff
The Perpendicular Bisectors of a Triangle
Jay Warendorff
Bisection of Segments by the Sides of a Triangle
Jay Warendorff
Projections of Midpoints onto Circumradii
Jay Warendorff
Points Symmetric to the Orthocenter with Respect to the Sides of a Triangle
Jay Warendorff
Related Topics
Plane Geometry
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+