Reid, 384.

Reiff, XI.

Renaissance, 139–156.

Resal, 377.

Reye, 299; ref. to, 305.

Reynolds, 383.

Rhæticus, 141; ref. to, 139, 142.

Rheticus. See Rhæticus.

Rhind papyrus, 10–15.

Riccati. 241; ref. to, 239.

Richard of Wallingford, 135.

Richelot, 353; ref. to, 309, 312.

Riemann, 357–359; ref. to, 304, 305, 312, 315, 339, 342, 354, 355, 356, 362, 368, 384, 392, 398.

Riemann's surfaces, 358; ref. to, 356.

Roberts, 313.

Roberval, 172; ref. to, 172, 187, 191.

Rolle, 241; ref. to, 236.

Roman mathematics in Occident, 117–124.

Romans, 77–83.

Romanus, 154; ref. to, 142, 148, 154.

Römer, 199.

Rosenberger, XIV.

Rosenhain, 355; ref. to, 353.

Roulette, 171.

Routh, 380; ref. to, 381, 397.

Rowland, 382, 394, 397, 398.

Rudolff, 151.

Ruffini, 328.

Rühlmann, 400.

Rule of signs, 187, 193.

Rule of three, 92, 106.

Saccheri, 303.

Sachse, XIII.

Sacro Bosco. See Halifax.

Saint-Venant, 390; ref. to, 322, 382, 389, 393.

Salmon, XII., 295, 311–313, 330.

Sand-counter, 65, 90.

Sarrau, 393.

Sarrus, 333.

Saturn's rings, 192, 376.

Saurin, 240.

Savart, 387.

Scaliger, 154.

Schellbach, 296.

Schepp, 362.

Schering, 306; ref. to, 357, 365.

Schiaparelli, 32.

Schläfli, 306; ref. to, 338, 353.

Schlegel, 322; ref. to, XII., 306.

Schlessinger, 300.

Schlömilch, 375.

Schmidt, XII.

Schooten, van, 189; ref. to, 190, 202.

Schreiber, 288, 300.

Schröter, H., 313; ref. to, 296, 353.

Schröter, J. H., 374.

Schubert, 297.

Schumacher, 366; ref. to, 348.

Schuster, XIII.

Schwarz, 361; ref. to, 297, 339, 345, 347, 362.

Schwarzian derivatiye, 361.

Scott, 325.

Screws, theory of, 378.

Secants, 142.

Sectio aurea, 33.

Section, the golden, 33.

Seeber, 371.

Segre, 305.

Seidel, 339.

Seitz, 341.

Selling; 371.

Sellmeyer, 393.

Semi-convergent series, 336.

Semi-cubical parabola, 190.

Semi-invariants, 328.

Serenus, 55.

Series, 111, 245. See Infinite series, Trigonometric series, Divergent series, Absolutely convergent series, Semi-convergent series, Fourier's series, Uniformly convergent series.

Serret, 313; ref. to, 341, 342, 377, 379.

Servois, 284, 288, 290.

Sexagesimal System, 7, 57, 65, 67, 126.

Sextant, 218.

Sextus Julius Africanus, 58.

Siemens, 385.

Sigma-function, 354.

Signs, rule of, 187, 193.

Similitude (mechanical), 380.

Simony, 315.

Simplicius, 61.

Simpson, 249.

Simson, 290; ref. to, 37, 39.

Sine, 99, 102. 109, 116, 125, 140, 141; origin of term, 109.