11. GM = avg*sin(arccos(larger-avg)) 46. Peaucellier's Linkage- converts rotational motion to linear motion without pistons -but only works with alternating rotational source. -Actually was invented to draw inversions (Coxeter) 53. I guessed the other way with Steiner Chains (that they could be continuously rotated) 60. 8 planes tangent to 3 spheres of different sizes: top, bottom, under one of each, over one of each 67. cool: a sphere can invert twice, reversing concavity 117. center of mass(intersection of medians) is also known as centroid 136. Can't find cube root with ruler and compass alone -fundamental to disproving possibility of other classical construction problems