Category:Equation of Envelope of Family of Curves

This category contains pages concerning Equation of Envelope of Family of Curves:

Let $\FF$ be a one-parameter family of curves defined by a parameter $m$.

Let $E$ be the equation defining $\FF$.

Let $E'$ be the equation obtained by equating to zero the partial derivative of $E$ with respect to $m$.

The equation defining the envelope of $\FF$ can then be found by eliminating $m$ between $E$ and $E'$.