9758
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Tangent Points on a Semicircle
Let AB be the diameter of a semicircle. Let CD and CE be tangents from a point C. Let the intersection of AE and BD be F. Then CF is perpendicular to AB.
Drag the red point to change the figure.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
The statement of the theorem is in
Archimedes' Book of Lemmas: Proposition 12
.
RELATED LINKS
Circle Tangent Line
(
Wolfram
MathWorld
)
Perpendicular
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Tangent Points on a Semicircle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TangentPointsOnASemicircle/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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
Tangent Circles and Parallel Diameters
Jay Warendorff
A Lemma of Archimedes about a Bisected Segment
Jay Warendorff
The See-Saw Lemma
Jay Warendorff
Perpendiculars to a Chord
Jay Warendorff
Inscribed and Central Angles in a Circle
Jay Warendorff
Distance between Two Points
Eric Schulz
Salinon
Michael Schreiber
Thales' Theorem
Michael Schreiber
Ptolemy's Theorem
Jay Warendorff
Dudeney's Proof of the Pythagorean Theorem
Izidor Hafner
Related Topics
Greek Mathematics
Plane Geometry
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+