0830 Quaternions 



Quaternion formulae for reduction of multiple 

 integrals. Carvallo, E. Par. S. Mth. Bll. 

 18 (1890) 80-. 



, function, development. Graves, C. Ir. 

 Ac. P. 6 (1853-54) 385-. 



group, the. Miller, G. A. 

 37 (1898) 312-. 



innovations. Heaviside, O. Nt. 49 (1893- 

 94) 246. 



integrals, some. Tait, P. G. [1870] Edinb. 

 E. S. P. 7 (1872) 318-, 784-. 



integration, a. Tait, P. G. [1871] Edinb. 

 B. S. P. 7 (1872) 434-. 



, theorems in. McAulay, A. Mess. Mth. 



14 (1885) 26-. 



invariants of linear vector functions, and 

 quaternion determinants. Joly, G. J. Ir. 

 Ac. P. 4 (1896-98) 1-. 



and its depreciators. Knott, G. G. Edinb. 

 Mth. S. P. 11 (1893) 62-. 



method, intrinsic nature of. Tait, P. G. 

 [1894] Edinb. B. S. P. 20 (1895) 276-. 



note on a geometrical problem. Tait, 

 P. G. [1889] Edinb. E. S. P. 16 (1890) 

 315-. 



notes. Tait, P. G. Edinb. E. S. P. 15 

 (1889) 379-. 



, from number to. Fleuri, G. N. S. W. 



E. S. J. 28 (1894) 65-. 

 " Path," Tait's, note. Martin, H. [1867] 



Edinb. E. S. P. 6 (1869) 121-. 



proof of reciprocal curves in space. 

 Hamilton, (Sir) W. B. B. A. Ep. (1862) 

 (pt. 2) 4. 



Samuel Eoberts' theorem of 4 co- 

 intersecting spheres. Walker, J. J. L. 

 Mth. S. P. 12 (1880-81) 147-. 



- triple generation of three-bar 

 motion. Hart, H. [1882] Mess. Mth. 12 

 (1883) 32-. 



transformation, a. Tait, P. G. Edinb. E. 

 S. P. 5 (1863) 115-. 



transformations. Tait, P. G. Edinb. E. 

 S. P. 7 (1872) 501-. 



. Gwyther, R. F. Manch. Lt. Ph. S. 



P. 19 (1880) 118-. 



treatment of linear complex. Buchheim, A. 

 Mess. Mth. 13 (1884) 120-. 



variables, functions. StudniCka, F. J. 

 Prag Sb. (1894) (Mth.-Nt.) No. 26, 8 pp. 



Quaternions. Hamilton, (Sir) W. B. [1843 



Ir. Ac. T. 21 (1848) 199-. 

 . Cayley, A. Ph. Mg. 26 (1845) 141-, 



208-. 

 . Tait, P. G. Mess. Mth. 1 



140-, 203-. 

 . Kelland, P. 

 . Ladd, C. 



172-. 

 . Stringham, W. I. 



310-. 

 . Wood, De V. Des Moines Anal. 7 (1880) 



11-, 33-, 65-, 121-. 

 . Christie, A. S. Des Moines Anal. 7 



(1880) 185-. 



. Ball, B. S. Nt. 48 (1893) 391. 

 . Studnitlca, F. J. Prag Sb. (1893) (Mth.- 



Nt.) No. 47, 10 pp. 



[1843] 

 141-, 

 (1862) 78-, 



Mth. 2 (1863) 136-. 

 Des Moines Anal. 4 (1877) 



Am. Ac. P. 13 (1878) 



Quaternions 0830 



Quaternions. Studnifka, F. J. Casopis 23 

 (1894) 145-. 209- ; Fschr. Mth. (1893-94) 

 135. 



and algebra of vectors. Gibbs, J. W. Nt. 

 43 (1891) 511-. 



Am. Ph. S. P. ----- . Tait, P. G. Nt. 43 (1891) 608. 

 ----- . Gibbs, J. W. Nt. 47 (1892- 



93) 463-. 



----- . Gibbs, J. W. Nt. 48 (1893) 

 364-. 



, application, new. Everett, J. D. B. A. 

 Ep. (1874) (Sect.) 11. 



, applications to exponential and other 

 functions. Studnicka, F. J. Prag Sb. 

 (1894) (Mth.-Nt.) No. 7, 18 pp. 



, geometry of straight lines and 

 complexes. Valentiner, H. Kitfb. Ov. (1899) 

 655-. 



, -- mechanics. Sebuev, G. N. Kazan 

 S. Ps.-Mth. Bll. 2 (1893) 111-; Fschr. Ps. 

 (1893) (Ab. 1) 299. 



, and physics. Molenbroek, P. 

 Amst. Ak. Vh. (Sect. 1) 2 (1894) No. 3, 

 38 pp. ; Fschr. Mth. (1893-94) 1315-. 



, metrical geometry. Versluys, J. 

 N. Arch. Wisk. 2 (*1876) 135-. 



, -- physics. Tait, P. G. QJ. Mth. 6 

 (1864) 279-; Ph. Mg. 29 (1890) 84-. 



, --- . McAulay, A. [1892] Nt. 47 

 (1892-93) 151. 



, projective geometry. Chapman, 

 C. H. Am. J. Mth. 14 (1892) 115-. 



, study of quadrics. Papelier, . 

 Par. S. Mth. Bll. 17 (1889) 182-. 



, -- theory of linear complex and linear 

 congruence. Buchheim, A. Mess. Mth. 12 

 (1883) 129-. 



, rotation. Cayley, A. Ph. 

 Mg. 33 (1848) 196-. 



and "Ausdehnungslehre." Gibbs, J. W. 

 Nt. 44 (1891) 79-. 



--- . Tait, P. G. Nt. 44 (1891) 105-. 



, -- , application to different kinds of 

 uniform space. Cox, H. [1882] Camb. 

 Ph. S. T. 13 (1883) 69-. 



, calculus, theorem, general. Graves, C. 

 Ir. Ac. P. (1850) 347-. 



, Col. Hime's outlines of. Macfarlane, A. 

 Ph. Mg. 39 (1895) 135-. 



, continued fractions in 



W. B. Ph. Mg. 3 (1852) 371- ; 4 

 303; 5 (1853) 117-, 236-, 321-. 



, -- , and quadratic equations. Hamilton, 

 (Sir) W. B. Ir. Ac. P. 5 (1853) 219-, 299-. 



, development of the A -process in. S)iaw, 

 J. B. Am. J. Mth. 19 (1897) 193-. 



, elements. Bartlett, W. P. G. Camb. 

 (M.) Mth. M. 2 (1860) 29-, 97-, 128-, 195-. 



, . Peddie, W. Edinb. Mth. S. P. 11 

 (1893) 130-. 



, establishment of fundamental properties. 

 McAulay, A. Mess. Mth. 18 (1889) 131-. 



, extensions. Hamilton, (Sir) W. B. Ph. 

 Mg. 7 (1854) 492-; 8 (1854) 125-, 261- ; 

 9 (1855) 46-, 280-. 



, and fourfold space. HatJiaway, A. S. 

 [1897-1900] N. Y. Am. Mth. S. Bll. 4 

 (1898) 54-; 7 (1901) 243, 245-. 



58 



Hamilton, (Sir) 

 (1852) 



