Abstract. Let A and B denote a point, a line or a circle, respectively. For a positive constant a, we examine the locus CAB(a) of points P whose distances from A and B are, respectively, in a constant ratio a. As a result, we establish some equivalent conditions for conic sections. As a byproduct, we give an easy way to plot points of conic sections exactly by a compass and a straightedge.
Abstract. In Minkowskian 3-spacetime L 3 we find timelike or spacelike surface of revolution for the given Gauss curvature K = −1, 0, 1 and mean curvature H = 0. In fact, we set up the surface of revolution with the time axis for z-axis to be able to draw those surfaces on standard pictures in Minkowskian 3-spacetime L 3 .
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