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Piola, 388.

Pitiscus, 142.

Plana, 375, 387, 396.

Planudes, M., 135.

Plateau, 382.

Plato, 29–31; ref. to, 3, 10, 16, 23, 32, 33, 34, 35, 63, 68.

Plato of Tivoli, 109, 125.

Plato Tiburtinus. See Plato of Tivoli.

Platonic figures, 39.

Platonic School, 29–34.

Playfair, X., 156.

Plectoidal surface, 60.

Plücker, 307–309; ref. to, 304, 308, 313.

Plus and minus, signs for, 150.

Pohlke, 300.

Poincaré, 343; ref. to, XIII., 345, 346, 347, 352, 359, 368, 384, 400.

Poinsot, 378; ref. to, 377.

Poisson, 387; ref. to, 175, 298, 330, 333, 351, 375, 378, 382, 383, 386, 387, 390, 392, 395, 396.

Poncelet, 289, 290; ref. to, 178, 288, 293, 306, 308, 389.

Poncelet's paradox, 308.

Porisms, 39.

Porphyrius, 55.

Potential, 277, 358, 395.

Poynting, 397, 398.

Preston, 400.

Primary factors, Weierstrass' theory of, 354, 360.

Prime and ultimate ratios, 198, 212, 268.

Prime numbers, 38, 45, 71, 179, 180, 368.

Princess Elizabeth, 188.

Principia (Newton's), 191, 208, 212–215, 229, 233, 242.

Pringsheim, 336–338.

Probability, 158, 182, 192, 237, 239, 240, 245, 252, 270, 276, 285, 340, 341.

Problem of Pappus, 60.

Problem of three bodies, 253, 256, 377.

Proclus, 61; ref. to, 17, 19, 33, 35, 38, 39, 50, 54, 58.

Progressions, first appearance of arithmetical and geometrical, 8.

Projective geometry, 307.

Proportion, 17, 22, 23, 26, 33, 36, 38, 67, 68.

Propositiones ad acuendos iuvenes, 119, 120.

Prym, 355.

Ptolemæus. See Ptolemy.

Ptolemaic System, 56.

Ptolemy, 56–58; ref. to, 7, 9, 54, 55, 98, 104, 106, 108, 109, 115, 139, 313.

Puiseux. 356.

Pulveriser, 95.

Purbach, 134; ref. to, 140.

Pythagoras, 19–23, 67–70; ref. to, 3, 16, 18, 24, 29, 36, 63, 82, 97, 135.

Pythagorean School, 19–23.

 

Quadratic equations, 76, 93, 107, 111, 112. See Algebra, Equations.

Quadratic reciprocity, 252, 280, 365.

Quadratrix, 25, 32, 59, 60.

Quadrature of the circle. See Circle; also see Circle-squarers, $\scriptstyle {\pi }$.

Quadrature of curves, 42, 49, 177, 190, 193, 220, 222.

Quaternions, 318, 319; ref. to, 317.

Quercu, a, 154.

Quetelet, 340; ref. to, X.

 

Raabe, 337.

Radau, 377.

Radiometer, 403.

Rahn, 151.

Ramus, 153.

Rankine, 399; ref. to, 400.

Rari-constancy, 390.

Ratios, 372.

Rayleigh, Lord, 386; ref. to, 374, 383, 384, 397, 398.

Reaction polygons, 300.

Reciprocal polars, 290.

Reciprocants, 327, 361.

Recorde, 151; ref. to, 158.

Rectification of curves, 169, 177, 190, 198. See Curves.

Redfield, 384.

Reductio ad absurdum, 28.

Reech, 381.

Regiomontanus, 140, 141; ref. to, 139, 149, 153, 154, 155, 158, 160.

Regula aurea. See Falsa positio.

Regula duorum falsorum, 106.

Regula falsa, 106.

Regular solids, 21, 31, 34, 38, 51, 110, 168.