How do you find the envelope of a family of curves?
Dicembre 21st, 2020 | by Marcello Colozzo |
Exercise
Determine the envelope of the family of plane curves:

Solution
The system of equations that interests us is

where

for which

From the second:

so (0,0) is a basis point. Discarding this solution, we proceed:

hence the Cartesian representation of the envelope drawn in fig. 1.

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