The Asteroid is the envelope of a family of lines...
lunedì, Dicembre 21st, 2020Exercise
Determine the envelope of the lines on which the coordinate axes detach a segment of constant length a.
Solution
We write the equation of the generic line of the assigned family. For this purpose, let's look at the figure:
Here we denote by φ the angle that the aforementioned straight line forms with the x axis. His equation is therefore:
The family equation follows:
where
(altro…)