Now, I must state that the word quadratic means practically nothing to me. But I did mention about ellipses. My mind can grasp a conic section cut e.g. circles, ellipses, parabolas… Are you saying that if a conic section curve of some sort goes through my 3 points, that I have a unique answer? And that ‘quadratic’ curves are conic sections? But that if it is not a conic section but some ‘made-up’ curve generated by me fashioning a mathematical function based on ‘pure numbers’ and NOT geometry, that I have an infinite number of answers? Moreover, can I ask, is a general inverse square law ‘quadratic’. Is it a law that follows a curvature from a conic section or not?