Example Find the equation of the tangent to the circle x 2 + y 2 = 25 at the point (3, -4).

This means that, given three circles, it’s possible to calculate the radius of a fourth tangent circle. For example, if you have three circles with curvatures of 11, 14 and 15, you can plug those ...

Using advanced mathematical tools inspired by physics, the team has derived a general equation for any number of tangent circles, offering fresh insights into an equation originally proposed by ...