774 



INDEX. 



Halley, Edmund, "reciprocal dupli- 

 cate" ratio, i. 98; 270; Newton's 

 ' Principia,' 283 ; orbits of comets, 

 324 ; calculates return of comet, 327 ; 

 Newton to, 342; pendulum experi- 

 ments of, 354 ; statistician, ii. 565. 

 Halsted, 6. B. , on non - Euclidean 



geometry, ii. 652 ; 714. 

 Hamann, Johann Georg, ii. 535, 536. 

 Hamilton, Sir W., ' Discussions,' L 203 ; 

 'Dngald Stewart's Works,' 359; 

 "Philosophy of the Unconditioned," 

 ii. 326. 



Hamilton, Sir W. R., used the notation 

 of Newton, i. 101 ; Life of, quoted 

 from, 106 ; paper on caustics, 230 ; 

 important generalisation in statics 

 and dynamics, 231 ; Dublin Mathe- 

 matical School, 274 ; originality of, 

 ift. ,- "characteristic function," 316; 

 theory of optical phenomena, ii. 13, 

 42 ; mathematical labours of, 73 ; 

 dynamics, 139; 195; his quaternions, 

 654; 656, 709; introduces term 

 "associative," 711 ; 722. 

 Hank, Theodore, suggested idea of the 



Royal Society, i. 227. 

 Hankel, Hermann, generalising aspects 

 of the sciences, i. 46 ; quoted on 

 the establishment of analysis as a 

 science, 103 ; ' Die Entwickelung der 

 Mathematik,' 175 ; ' Theorie der com- 

 plexen Zahlensysteme,' 185 ; ii. 710 ; 

 ' Die Elemente der Projectivischen 

 Geometric,' L 188 ; ii. 632 ; on the 

 two processes of algebra, 640 ; on 

 Grassmann, ib., 656 ; on Peacock 

 and de Morgan, 641 ; on Gauss's 

 theorem, 645 ; on imaginaries, 653, 

 664 ; Poncelet's principle, 661 ; on 

 Gergonne's principle of duality, 666 ; 

 on Steiner, 668 ; compares von 

 Standtwith Chasles, 669 ; on MSbius, 

 682 ; on fundamentals, 703 et seq. ; 

 on English mathematics, 704, 711 ; 

 on oscillating functions, 706 ; on 

 Bolzano and Cauchy, 709 ; principles 

 of arithmetic, 711 ; on principle of 

 permanence, 712 ; on quaternions, 

 tZ>., 717 ; 726. 

 Hanle's ' Magazin,' i. 43. 

 Hanselmann, 'K. F. Gauss,' i. 181. 

 Hansen, lunar theory, i. 329. 

 Harcourt, Vernon, i. 236. 

 Harding, discovery of planets, L 182. 

 Harkness and Morley, theory of 



functions, ii. 704. 

 Harmonic functions, ii. 696. 

 Harriot, a forerunner of Bacon, i. 94. 



Harris, James, language, ii. 536. 



Harris, Snow, referred to by Faraday, 

 ii. 69. 



Harrison, received prize of Board of 

 Longitude for his chronometers, i. 

 158 ; astronomical instruments, 322. 



Hart, J. M., testimony to work of 



"^German universities, L 225. 



Hartmann, ii. 470. 608. 



Hartnack and Nachet, improvement in 

 immersion system, ii. 228. 



Harvey, contemporary with Bacon, i. 

 94 ; discovery of the circulation of 

 the blood, 193 ; 272 ; contributions 

 to biology, 282 ; 292 ; study of sep- 

 arate organs, ii. 233; "metamor- 

 phosis," 278 ; embryology, 297 ; 349, 

 444. 



Hatchett, not member of any univer- 

 sity, i. 238. 



Haukesbee, Francis, capillary phenom- 

 ena, i. 346 ; experiments of, 355, 356. 



Hanptmann, C., 'Die Metaphysik in der 

 modernen Physiologic,' ii. 401, 438 ; 

 quoted, 407, 444. 

 Hausser, L., i. 59. 



Haiiy, Abbe, physics at the Ecole nor- 

 male, i. 112 ; crystallography of, 

 116, 117 ; services of, to mineralogy, 

 118 ; 136 ; created the science of 

 crystallography, 441 ; labours of, ii. 

 222 ; founder of crystallography, 

 240 ; 241 ; crystallography, 264 ; 

 building up of crystals, 270. 

 Haym, Rudolf, 'Leben W. v. Hum- 

 boldts,' i. 38 ; chief authority on 

 Herder, 51 ; biographies of Hegel 

 and others, 279 ; ' Herder nach 

 seinem Leben und seinen Werken," 

 ii. 531, 533, 537. 



Hayward, algebra of 'Coplanar Vec- 

 tors,' ii. 656. 



Heat, Tyndall's dynamical theory of, 

 ii. 57 ; dynamical theory of, 73 ; 

 Black, Rumford, and Davy, 102 ; the 

 non-mechanical nature of heat-phen- 

 omena, 120 et seq.; and perpetual 

 motion, 126 et seq. ; of the sun, 357. 

 Heaviside, Oliver, popularisation of 

 Maxwell's electro - magnetic theory, 

 ii. 72 : 193 ; his directional calculus, 

 655, 656. 

 Hecker, J. J., established " Realschule" 



at Berlin, i. 166. 



Heeren of Gottingen University, i. 165 ; 

 and Ukert, collections of Histories of 

 all countries, 167. 



Hegel, G. W. F., on the province of 

 philosophy, i. 36 ; treated science 



