Locus of Centres of Circles Touching Two Parallel Lines
For:
$$Ax+By+C_1=0$$
and:
$$Ax+By+C_2=0$$
the centres of circles tangent to both lie on:
$$Ax+By+\frac{C_1+C_2}{2}=0$$
Usage
- Used to find the centre locus for circles tangent to two parallel lines.