-- realism appears to be divided into, 164 -- rotation about a, 130, 146-151 -- the seven planes of matter, 212 Planes, a cube as a succession of, 148-9 Plasm, kosmic, strivings of, 215 -- psychic, 260 -- the differentiation of, 214 Plato, 322 -- and the divine geometry, 193, 237 -- -- -- shadow consciousness, 281 -- on God as geometrizer, 181 -- -- ideas, 34 Play, sensuous, of the intellect, 295 Plenum, space as a, 230 -- the universe as a, 107 Poincairé, 90 Point, an infinity of parallels through a given, 70 -- as generating element, 144 -- position of, 132 -- succession of points, a line as, 148 Polarity between concrete and abstract, 294-5 Ponderability, as property of hyperspace, 63 Popularization of the fourth dimension, 128 -- of the non-Euclidean geometry, 66-7 Possibilities in the world of hyperspace, 129 -- of four-space, the marvelous, 130 Postulate-systems, the multiplication of, 85 Powers of mind, not attained at one and the same time, 334 Pralaya, 213 -- as kosmic quietude, 17 Predicates, all mathematical, not justified by the phenomenal, 128 Principle, ensouling, 214-5 Printing press, the invention of, and the laws of psychogenesis, 30 Problem, the fourth dimension as a transcendental, 140 Procedure, the involved, of arriving at hyperspace notions, 73 Process, evolution a continuous, 327 -- space as a dynamic, 307 Proclus, 83 Profundities, kosmic, and hyperspace, 156 Progression eastward terminates at the west, 306 Proof of rotation about a plane, 146-151 Propagation of intuitographs, difficulty of, 315 Propositions, geometric, subjunctive quality of, 38 Pseudosphere and the shape of space, 70 -- as basis of Beltrami's calculations, 17 -- the nature of, 64-5 Psychics of consciousness, 292 -- transmuted, 260 Psychogenesis, alchemy of, 225 -- kosmic, 272 -- laws of, and the printing press, 30, 116 Psychogenesis, mind's place in, 123 -- outgrown phase of, 302 -- outstanding facts of, 131 Psychogeny, defined, 17 Ptolemy, 45, 52, 83 Publicist, the mathematical, and the duodim, 128 -- the non-Euclidean, 146 Pyknon as a kosmic principle, 212 -- -- basis of space-genesis, 17 Pyknosis, 212 -- and involution, 210, 231 -- as a metamorphotic process, 214 -- the seven processes of, 17, 294 Q Quality, dimension as commensurable, 140 Quantities, algebraic, cannot represent space, 125-7 Quantity, consciousness as a tri-space, 172 Quartodim, 18, 134 Quartodimensionality, 292 Quartopyknosis, 17, 208-10 Quartopyknotic, principle as basis of spirituality, 228 Quintopyknon, 220 Quintopyknosis and the _a priori_, 223 -- meaning of, 17, 208-10 Quintopyknotic principle as basis of mentality, 228 R Race, humanity to evolve a new, 358 -- resplendent, 338 Rajah-Tamas, 220 Rajah Yoga, 357