0830 Quaternions 



Quaternions, functions resembling. Cockle, 



Jas. Ph. Mg. 33 (1848) 435-. 

 , Gauss' claim to invention. Tait, P. G. 



[1899] Edinb. B. S. P. 23 (1902) 17-. 

 , general case of. Sylvester, J. J. C. B. 



99 (1884) 117-. 

 , geometrical interpretation. Donkin, W. F. 



Ph. Mg. 36 (1850) 489-. 

 _, . Spottiswoode, W. Ph. Mg. 37 



(1850) 108-. 

 , geometry of. Paterson, J. Camb. and 



Dubl. Mth. J. 9 (1854) 241-. 

 , theory. Hamilton, (Sir) W. E. 



Ir. Ac. P. 3 (1847) 31-. 

 , involution and evolution. Sylvester, J. J. 



Ph. Mg. 16 (1883) 394-. 

 , Klein's view. Knott, C. C. [1899] Edinb. 



B. S. P. 23 (1902) 24-. 

 , and method of equipollences. Bellavitis, 



G. Yen. At. (1857-58) 334-; Mod. Mm. 



S. It. 1 (1862) 126-. 

 , multinomial theorems. Wilkinson, (Eev.) 



M. M. U. [1890] Edinb. E. S. P. 17 



(1891) 149-. 

 , multiplication, new proof of associative 



property. Versluys, J. [1871] Arch. Neerl. 



7 (1872) 177-. 

 , nabla (V). Kimura, S. A. Mth. 10 



(1895-96) 127-. 

 , nonions, sedenions, &c. Sylvester, J. J. 



(xn) [1883] J. H. Un. Cir. [3] (1884) 7-. 

 , notes. Boole, G. (vi Adds.) Ph. Mg. 33 



(1848) 278-. 

 , . Anthony, E. Mess. Mth. 10 (1881) 



66-. 



, . Kimura, S. Nt. 52 (1895) 366. 

 , number-theory. Hurwitz, A. Gott. Nr. 



(1896) 313-. 



as a practical instrument of physical re- 

 search. McAulay, A. Ph. Mg. 33 (1892) 



, principles elementarily explained. Padel- 



letti, D. G. Mt. 20 (1882) 1-. 

 , , elementary, establishment on analytical 



basis. Plarr, G. [1874-77] Edinb. E. S. 



T. 27 (1876) 175- ; 28 (1879) 37-. 

 , proof of Frobenius' theorem on their 



relation to complex numbers. Grissemann, 



F. X. Mh. Mth. Ps. 11 (1900) 132-. 

 , property. Mounier, G. J. D. N. Arch. 



Wisk. 8 (*1882) 81-. 

 , reduced form. Studnicka, F, J. Prag 



Sb. (1875) 183-. 

 , relative forms. Peirce, C. S. (xn) J. H. 



Un. Cir. [1] (1882) 179. 

 , and spherical geometry. MSbius, A. F. 



Leip. B. 11 (1859) 138-. 

 , theory. Versluys, J. N. Arch. Wisk. 1 



(*1875) 41-, 97-; 2 (*1876) 135-. 

 , . Sarran, E. A. Tel. 8 (1881) 52-, 



113-. 

 , . Stephanos, C. Mth. A. 22 (1883) 



589-. 

 , . Weyr, E. C. B. 98 (1884) 906-, 



1320-. 



, . Holder, 0. Gott. Nr. (1889) 34-. 

 , . Study, E. N.-Vorp. Mt. 31 (1900) 1-. 



Ausdehnungslehre 0840 



Quaternions and vector analysis, principles. 



Peddie, W. Edinb. Mth. S. P. 11 (1893) 



85-. 

 vectors. Knott, C. G. Nt. 48 



516-. 

 Quotient of vectors in space, product of 



matrices. Wettum, T. B. van. N. Arch. 



Wisk. 1 (1895) 68-; Fschr. Mth. (1893- 



94) 226. 

 Quotients of space-directed lines. Elliott, 



E. B. Smiths. Misc. Col. 33 (1888) Art. 4, 



106- ; (Wash. Ph. S. Bll. 10 (1888).) 

 Surfaces, cubic, class treated by quaternions. 



Chace, A. B. Am. J. Mth. 2 (1879) 315-. 

 , quadric, treated by quaternions. Lowell, 



A. L. Am. Ac. P. 13 (1878) 222-. 

 , theorems. Hamilton, (Sir) W. E. Ir. 



Ac. P. 4 (1850) 306-. 

 Symbolic cubic, particular case. Plarr, G. 



[1881] Edinb. B. S. P. 11 (1882) 342-. 



equation satisfied by symbol of operation 

 on a quaternion, existence. Hamilton, 

 (Sir) W. E. Ph. Mg. 24 (1862) 127-. 



integration of differential equations in 

 quaternions. Pocklington, H. C. [1899] 

 Camb. Ph. S. P. 10 (1900) 59-. 



Tait's elementary treatise, note on paragraphs 



439, 440. Plarr, G. C. E. 86 (1878) 1454-. 

 Trigonometrical coefficients. Dierke, G. A. 



Educ. Times 41 (1888) 171. 

 Trigonometry, plane, by quaternions. Wood, 



De V. Des Moines Anal. 9 (1882) 19-. 

 Use of V - 1 and alternate numbers i, j, k in 



study of infinitesimal deformations. Perna, 



A. Palermo Cir. Mt. Ed. 12 (1898) 322-. 

 Vector expressions for curves. Joly, C. J. 



Ir. Ac. P. 4 (1896-98) 374-. 

 Vectorial equation of the circumference. 



Eaimondi, E. G. Mt. 25 (1887) 219-. 



function of 1st degree <f>p. Alberti, V. 

 G. Mt. 37 (1899) 375-. 



Vectors and quaternions, theory. Beez, . 



Z. Mth. Ps. 41 (1896) 35-, 65-. 

 Wave-surface, electromagnetic, quaternion 



treatment. Tait, P. G. [1894] Edinb. B. 



S. P. 21 (1897) 165-. 



, Fresnel's quaternion investigations. 

 Tait, P. G. QJ. Mth. 3 (1860) 190-. 



0840 Ausdehnungslehre; vector 

 analysis. 



Analytical geometry, use of imaginaries. 



Stille, W. A. Des Moines Anal. 1 [1874] 



181-. 

 Area of any closed circuit in space. Hayward, 



E. B. L. Mth. S. P. 4 (1871-73) 289-. 

 Associated poles, and their representation by 



products. Grassmann, H. Gott. Nr. (1872) 



567-. 

 Ausdehnungen, multiple, simplest theorems. 



Hoppe, E. Arch. Mth. Ps. 64 (1879) 189-. 

 "Ausdehnungslehre." Grassmann, H. Grunert 



Arch. 6 (1845) 337-. 

 , geometric representation of imaginaries 



from standpoint of. Schlegel, S. F. V. 



Z. Mth. Ps. 23 (1878) 141-. 



59 



