10392
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Projecting the Tangent Point of an Ellipse
Let the tangent from a point
on the
axis to the ellipse with semimajor axis
and semiminor axis
touch at the point
in the first quadrant. (The equation of the ellipse is
.) Then the
value of
remains the same as
changes.
Contributed by:
Izidor Hafner
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] G. N. Berman,
Problem Book in Mathematical Analysis,
Moscow, Russia: Mir Publishers, 1957 p. 69.
RELATED LINKS
Ellipse
(
Wolfram
MathWorld
)
Points around an Ellipse
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Projecting the Tangent Point of an Ellipse
"
http://demonstrations.wolfram.com/ProjectingTheTangentPointOfAnEllipse/
Wolfram Demonstrations Project
Published: November 5, 2012
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
Two Tangent Lines to a Parabola
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Finding a Tangent Line to a Parabola
Jon Mormino
The Ellipse Problem of Steinhaus
Izidor Hafner
The Ellipsograph, a Mechanism for Constructing an Ellipse
Izidor Hafner
Locus of Points Definition of an Ellipse, Hyperbola, Parabola, and Oval of Cassini
Marc Brodie
Newton's Ellipse
Bob Rimmer
Iso-Optic Curve of the Ellipse
Géza Csima, Jen? Szirmai, and János Tóth
Drawing an Ellipse Using Circles and Lines
Eric Schulz (Walla Walla Community College, Walla Walla, Washington)
Tangent Lines to a Conic Section
Soledad María Sáez Martínez and Félix Martínez de la Rosa
Length of an Arc of an Ellipse and the Area It Subtends
Jaime Rangel-Mondragon
Related Topics
Calculus
Conic Sections
Curves
High School Algebra II and Trigonometry
High School Mathematics
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+