11209
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Lines Parallel to the Sides of a Triangle
Let ABC be a triangle and let the angle bisectors at A, B, and C intersect the opposite sides at points P, Q, and R. Draw lines from P, Q, and R parallel to AB, BC, and AC that intersect AC, AB, and BC at P', Q', and R'. Then
.
Drag the points A, B, or C to change the figure.
Contributed by:
Jay Warendorff
After work by:
Paul Yiu
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
The statement of the theorem is in "
Notes on Euclidean Geometry
" by Paul Yiu, p. 90.
RELATED LINKS
Parallel
(
Wolfram
MathWorld
)
Parallel Lines
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Lines Parallel to the Sides of a Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LinesParallelToTheSidesOfATriangle/
Contributed by:
Jay Warendorff
After work by:
Paul Yiu
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
Dividing a Triangle by Lines Parallel to Two Sides
Jay Warendorff
Subtriangles Formed by Concurrent Lines Parallel to the Sides of a Triangle
Jay Warendorff
A Line Parallel to a Side of a Triangle
Jay Warendorff
A Hexagon with Opposite Sides Parallel
Jay Warendorff
A Circumcircle through the Midpoint of a Triangle's Side
Jay Warendorff
Rhombi at the Incenter of a Triangle
Jay Warendorff
The Circumcircles of Four Triangles
Jay Warendorff
A Relation between Altitudes of Four Triangles
Jay Warendorff
A Relation between the Areas of Four Triangles
Jay Warendorff
Concurrent Lines that Intersect on the Euler Line
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+