I've just started to learn transformations in complex plane and i'd like to understand how to proof, that an image of a line not-going through the center of inversion is a circle going through the center of inversion. If equation of my line is $z(\frac {a} {2} + \frac {b} {2i} )+\bar {z}( \frac {a} {2}-\frac {b} {2i} ) + c = 0$. I also read that i have to apply the transformation $\frac {1}{z}$, but i dont understand from where it comes. Thanks for help!
2026-03-29 06:02:23.1774764143
Circular transformation of a line.
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