9846
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
Hirano's Construction of a Regular Pentagon
S. Eugene Stewart and Kenneth E. Caviness
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+