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i have this problem..., giving two circle (example radius 1 = 500 units, radius 2 = 200 units, distance between centers = 275.73 units) find Euler Spiral (aka Cornu spiral, aka Clothoid https://en.wikipedia.org/wiki/Euler_spiral) tangent giving circle (unknown tangent points).

For this problem are two mirrored Euler spiral as solution with length = 450 units.

Problem so simply to explain but not so simply to find solution...

Many thanks for help...