A triangle whose vertices traverse fixed lines and two of whose sides pass through fixed points

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We’ll examine a specific case. Let’s assume our triangle has vertices on the axes and on the line X+Y=10. We assume that two of the sides pass through the points (2,4) and (5,2). The envelope of the third side, we see, 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