Three Tangents to a Sphere
Three Tangents to a Sphere
Two lines, and , are tangent to a sphere at points and , respectively. Find the line that is tangent to the sphere and intersects the other two tangents.
t
s
A
B
r
Call the point of tangency and let the intersection of with and be and . Determine the set of all points .
X
r
t
s
M
N
X