The envelope of the line the product of whose distances from two fixed points is constant

Download Geometry Expressions File

It is important in this example to constrain the distance of the line from the points directly, rather than creating perpendiculars and constraining their length (this is a limitation of the Geometry Expressions software).

We see the figure is an ellipse.

Expressions

Name Input
Envelope Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image