You can help us to improve by giving your valuable suggestions atBy using the service of this site, I agree that I will serve wholeheartedly and will not indulge in any sort of activity that threats the integrity of the organisation I am working for / I work for. Knowledge is the power, Dont miss any paper, Subscribe to us
Given two points on a plane, the locus of points with a constant distance difference is a hyperbola. What happens if there are three points on the plane? Concretely, if there are three points A, B, and C, I'm looking for locus of all points X such that mod(d(X, A) - d(X, B)) = mod(d(X, B) - d(X, C)) = mod(d(X, C) - d(X, A)) = constant. Intuitively, it seems like no such points exist as the three hyperbola don't intersect at same points. How to make this formal? |