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La Hire's Theorem in Ellipse: What Is It About?
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Copyright © 1996-2010 Alexander Bogomolny
La Hire's Theorem in Ellipse
The applet suggests the following theorem:
| Let there be two points A and B outside an ellipse. From points A and B draw tangents AC, AD, BE, BF to the ellipse. Then if B lies on CD, then A lies on EF. |
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This is just another illustration of a theorem valid for all non-degenerate conics.
Poles and Polars
- Poles and Polars
- Brianchon's Theorem
- Complete Quadrilateral
- Harmonic Ratio
- Harmonic Ratio in Complex Domain
- Inversion
- Joachimsthal's Notations
- La Hire's Theorem
- La Hire's Theorem, a Variant
- La Hire's Theorem in Ellipse
- Nobbs' Points, Gergonne Line
- Polar Circle
- Pole and Polar with Respect to a Triangle
- Poles, Polars and Quadrilaterals
- Straight Edge Only Construction of Polar
- Tangents and Diagonals in Cyclic Quadrilateral
Conic Sections > Ellipse
- What Is Ellipse?
- Analog device simulation for drawing ellipses
- Angle Bisectors in Ellipse
- Angle Bisectors in Ellipse II
- Between Major and Minor Circles
- Brianchon in Ellipse
- Butterflies in Ellipse
- Conjugate Diameters in Ellipse
- Dynamic construction of ellipse and other curves
- Ellipse in Arbelos
- Ellipse Between Two Circles
- Euclidean Construction of Center of Ellipse
- Euclidean Construction of Tangent to Ellipse
- Focal Definition of Ellipse
- Focus and Directrix of Ellipse
- From Foci to a Tangent in Ellipse
- Gergonne in Ellipse
- Pascal in Ellipse
- La Hire's Theorem in Ellipse
- Optical Property of Ellipse
- Parallel Chords in Ellipse
- Poncelet Porism in Ellipses
- Reflections in Ellipse
- Three Squares and Two Ellipses
- Three Tangents, Three Chords in Ellipse
- Van Schooten's Locus Problem
Copyright © 1996-2010 Alexander Bogomolny
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