10902
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Gauss's Line
Let ABC be a triangle. Let a line intersect the sides of ABC (perhaps extended) at A', B', and C'. Then the midpoints of the segments AA', BB', and CC' are collinear.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See problem 6 in
Classical Theorems in Plane Geometry
.
RELATED LINKS
Collinear
(
Wolfram
MathWorld
)
Midpoint
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Gauss's Line
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/GausssLine/
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
A Line Associated with an Excircle
Jay Warendorff
A Line Parallel to a Side of a Triangle
Jay Warendorff
Concurrent Lines that Intersect on the Euler Line
Jay Warendorff
Bisecting a Line Segment through the Orthocenter
Jay Warendorff
Intersection of an Altitude and a Line through the Incenter
Jay Warendorff
A Concurrency from the Midpoints of Line Segments through the Circumcenter
Jay Warendorff
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
Euler Line
Eric Rowland
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+