0830 Quaternions 



Ellipsoids, theorem. Hamilton, (Sir) W. R. 



Ir. Ac. P. 4 (1850) 349-. 

 Equation Q = q (w, x, y, z) = w + ix +jy + kz. 



Spottiswoode, W. Ph. Mg. 36 (1850) 135-. 



Vp<pp 0, graphic solution. Tait, P. G. 

 Edinb. E. S. P. 10 (1880) 400-. 



, in quaternions. Elfrinkhof, L. van. 

 N. Arch. Wisk. 1 (1895) 76-; Fschr. Mth. 

 (1893-94) 135. 



representing a linear vector function, 

 generally not self -con jugate. Plarr, G. 

 [1876] Edinb. E. S. T. 28 (1879) 45-. 



Equations in multiple quantity. Sylvester, 

 J. J. Nt. 31 (1885) 35-. 



quaternions, solution of a class. 

 Sylvester, J. J. Ph. Mg. 17 (1884) 392-. 



Finite quaternion groups, determination. 



Stringham, W. I. Am. J. Mth. 4 (1881) 



345-. 



Geometrical calculus, essay. Lasker, E. L. 



Mth. S. P. 28 (1897) 217-, 500-. 



interpretation of log Uq. Macfarlane, A. 

 Ph. Mg. 38 (1894) 143-. 



Green's formula, application to the study of 



the electric field. Larose, H. A. Tel. 22 



(1895) 460-. 

 Hamilton groups. Dedekind, R. Mth. A. 48 



(1897) 548-. 

 . Miller, C. A. N. Y. Am. Mth. S. Bll. 



4 (1898) 510-. 

 . D'Atonandro, A. G. Mt. 37 (1899) 



138-. 

 Hamiltonian pairs, and generalized theory of 



complex variable. Maksimovich, V. P. (xn) 



[1883-84] Kazan S. Nt. (Ps.-Mth.) P. 2 



(1884) i-, 95-. 

 Hamilton's equation in quaternions, explicit 



solution. Sylvester, J. J. C. E. 99 (1884) 



555-. 



method, attempt at new development. 

 Dillner, G. [1876] Mth. A. 11. (1877) 168-. 



operator V, applications in calculus of 

 variations. Joly, C. J. Ir. Ac. P. 5 (1898- 

 1900) 666. 



quadrantal versors. Wettum, T. B. van. 

 N. Arch. Wisk. 20 (1893) 1- ; Fschr. Mth. 

 (1893-94) 225-. 



Homogeneous strains. Metzler, W. H. A. 



Mth. 8 (1893-94) 148-. 

 Homographic divisions of planes, spheres and 



space (quaternion methods). Joly, C. J. 



Ir. Ac. P. 4 (1896-98) 515-. 

 Hyperbolic quaternions. Macfarlane, A . [1900] 



Edinb. E. S. P. 23 (1902) 169-. 

 Imaginary or uniaxal geometry, illustrations. 



Cockle, Jas. Ph. Mg. 34 (1849) 132-. 

 Infinite and imaginary, use in service of finite 



and real. Sylvester, J. J. Nt. 32 (1885) 



103-, 271. 

 Inverting a linear and quaternion function of a 



quaternion. Hamilton, (Sir) W. R. (m) 



[1862] Ir. Ac. P. 8 (1864) 182-. 

 Laplace's equation, application of quaternions 



to. Brill, J. Camb. Ph. S. P. 7 (1892) 



120-, 151-. 

 , quaternion integration. PreobraZenskij, 



V. V. Kazan S. Nt. (Ps.-Mth.) P. 2 (1884) 



46-; Fschr. Mth. (1884) 308-. 



Quaternions 0830 



Laplace's equation, quaternions. Carmichael, 

 R. Ir. Ac. P. 6 (1853) 216-. 



Linear bilateral quaternion equation, geometri- 

 cal interpretation. Stringham, I. Am. As. 

 P. (1884) 54-. 



differential equations in quaternions. Tait, 

 P. G. [1870] Edinb. B. S. P. 7 (1872) 

 311. 



equation of quaternions, Hamilton's and the 

 author's methods of solution. Sylvester, J. J. 

 C. E. 99 (1884) 473-. 



, solution of general. Sylvester, J. J. 



C. E. 99 (1884) 502-. 



vector operator of quaternions. Shaw, J. B. 

 Am. J. Mth. 19 (1897) 267-. 



Mechanics, applications of quaternions. Lais- 

 ant, C. A. Liouv. J. Mth. 3 (1877) 

 325-. 



, . Genty, . Liouv. J. Mth. 7 



(1881) 49-. 



by quaternions. Hyde, E. W. Des Moines 

 Anal. 7 (1880) 137-, 177- ; 8 (1881) 17-, 

 49-. 



Minding's theorem, quaternion investigations 

 connected with. Tait, P. G. [1879] Edinb. 

 E. S. P. 10 (1880) 200. 



, proof. Walker, J. J. L. Mth. S. P. 



10 (1878-79) 100-. 



, . Tait, P. G. L. Mth. S. P. 10 



(1878-79) 101-. 



Operations, theorem in. Tait, P. G. Edinb. 

 Mth. S. P. 8 (1890) 21-. 



Operator <f> (V). Tait, P. G. Edinb. E. S. P. 

 7 (1872) 607-. 



Point and line calculus, with special reference 

 to parallels. Graefe, E. Arch. Mth. Ps. 15 

 (1897) 34-, vii-. 



Potential of closed circuit, quaternion investi- 

 gation. Tait, P. G. QJ. Mth. 4 (1861) 

 143-. 



Problem of Fermat, to find point, sum of whose 

 distances from 3 given points is least, solu- 

 tion. Tait, P. G. [1867] Edinb. E. S. P. 6 

 (1869) 165-. 



Quaternion analysis, geometrical proofs of 

 theorems by. Hamilton, (Sir) W. R. Ir. Ac. 

 P. 5 (1853) 407-. 



, new geometrical interpretation. Brill, J. 



Camb. Ph. S. P. 6 (1889) 156-. 



associative principle. Hathaway, A. 8. 

 [1895] N. Y. Am. Mth. S. Bll. 2 (1896) 

 43-. 



, definition. Christie, A. S. Wash. Ph. S. 

 Bll. 11 (1892) 579-. 



differences, an equation in. Tait, P. G. 

 Edinb. E. S. P. 12 (1884) 561-. 



differentiation. M'Aulay, A. [1890] Edinb. 

 E. S. P. 18 (1892) 98-. 



equations, solution of a large class. 

 Sylvester, J. J. C. E. 98 (1884) 651-. 



forms of propositions in fluid motion. 

 Butcher, J. G. [1876] L. Mth. S. P. 8 

 (1877) 174-. 



formulae. Allardice, R. E. Edinb. Mth. 

 S. P. 7 (1889) 8-. 



for quantification of curves, surfaces and 



barycentres. Stringham, W. I. Am. J. 

 Mth. 2 (1879) 205-. 



57 



