Apollonius Revisited Equidistance

Appendix: Constructing the intersection of two loci in Geometer's Sketchpad.At the time of the writing of this paper (summer 2011), Geometer's Sketchpad 5.0, whileallowing the construction of the intersection of a locus and a line/circle, does not allowthe construction of the intersection of two arbitrary loci. This appendix will demonstratehow to overcome this issue for most cases relevant for the topic of the paper.Inspiration/Main idea: given two functions f(x) and g(x), the intersection(s) of f(x) andg(x) corresponds to the zero(s) of the difference function f(x)-g(x).-Given two loci-Create a line through two free points A and B appropriately placed beneath the loci (toplay the role of the x-axis)