10923
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Line Parallel to a Side of a Triangle
Let ABC be a triangle. Let AD, BE, and CF be the altitudes and M be the midpoint of BC. Let the circumcircle of AEF meet AM at X, let AM meet CF at Y, and let AD meet BX at Z. Then YZ is parallel to BC.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See
Nice Parallelism
.
RELATED LINKS
Altitude
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
Midpoint
(
Wolfram
MathWorld
)
Parallel
(
Wolfram
MathWorld
)
Parallel Lines
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Line Parallel to a Side of a Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ALineParallelToASideOfATriangle/
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
Dividing a Triangle by Lines Parallel to Two Sides
Jay Warendorff
Lines Parallel to the Sides of a Triangle
Jay Warendorff
Subtriangles Formed by Concurrent Lines Parallel to the Sides of a Triangle
Jay Warendorff
A Circumcircle through the Midpoint of a Triangle's Side
Jay Warendorff
A Hexagon with Opposite Sides Parallel
Jay Warendorff
A Concurrency Generated by Lines through the Orthocenter and Circles about a Triangle's Sides
Jay Warendorff
The Product of the Side Lengths of a Triangle
Jay Warendorff
The Ratio of a Side of a Triangle to the Corresponding Side of the Orthic Triangle
Jay Warendorff
A Concurrency Generated by Circles about a Triangle's Sides and Lines through an Internal Point
Jay Warendorff
Another Concurrency Generated by Circles about a Triangle's Sides and Lines through an Internal Point
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+