La Hire's Theorem in Ellipse: What Is It About?
A Mathematical Droodle


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Explanation

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Copyright © 1996-2018 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.


This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at https://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.


What if applet does not run?

This is just another illustration of a theorem valid for all non-degenerate conics.

Poles and Polars

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Copyright © 1996-2018 Alexander Bogomolny

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