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, G. B. , on non - Euclidean 



geometry, ii. 652 ; 714. 

 Hamann, Johann Georg, ii. 535, 536. 

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

 ' Dugald Stewart's Works,' 359 ; 

 " Philosophy of the Unconditioned," 

 ii. 326. 



Hamilton, Sir W. JR., 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, 

 ib. ; "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,' i. 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 

 Staudt with Chasles, 669 ; on Mobius, 

 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, 

 ib., 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, i. 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, i. 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. 

 Hauptmann, 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 



