Thurston proved that a knot must have this property if it is not a torus knot or a satellite knot. A space with this property has as its orientation-preserving isometries the group of real Möbius transformations with determinant one. Spaces with this property have curves called horocycles, can be modeled (10[1])in two dimensions by Poincaré’s half-plane (10[1])and disk, (10[2]-5[1])and have constant negative curvature. (10[5])This (10[1])property is the first word in a class of functions derived from the pair (10[1])“e-to-the-x (10[2])plus-or-minus (10[3]-5[1])e-to-the-negative-x (10[1])all (10[1])over (10[2])two.” (10[9])Lobachevsky (10[5])names (10[1])a non-Euclidean geometry (10[2])with this (10[1])property, (10[1]-5[1])which breaks the parallel postulate and has (10[1])triangles (10[1])whose angles sum to less than 180 degrees. (10[1])For 10 points, what property derives from the name of a conic section (10[1])exemplified (10[1])by the function one-over-x? ■END■ (10[7]0[4])