Given an ellipse with the following parameters:
- $a$ = semimajor axis
- $b$ = semiminor axis
- $\theta$ = tilt angle from horizontal
- $(\Delta x, \Delta y)$ = position of the center
How do I find the general formula of that ellipse, namely in the form
$Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$
I’ve looked everywhere, and I can’t find anything even close to that.