0840 



Ausdehnungslehre ; vector analysis 



0840 



Imaginary binary straight lines. Thieme, 



F. E. Arch. Mth. Ps. 59 (1876) 426-. 



geometry (higher). Bey el, C. Zur. Vjschr. 

 31 (1886) 20-. 



of Lobatschewsky. Battaglini, G. Nap. 



Ed. 6 (1867) 157-. 

 , applications of formulae. Suvorov, 



T. M. (xn) [1881] Kazan S. Nt. (Ps.- 



Mth.) P. 1 (1883) [No. 5] 4-. 



or lateral curves, main features of theory. 

 Thieme, F. E. Arch. Mth. Ps. 58 (1876) 

 185-. 



straight lines. Thieme, F. E. Arch. 



Mth. Ps. 58 (1876) 218-. 



values of a variable, geometric interpreta- 

 tion. Moitchot, . C. B. 61 (1865) 113-. 



Line geometry on principles of ' ' Ausdehnungs- 



lehre." Miiller, E. Mh. Mth. Ps. 2 (1891) 



267-. 

 Lineal multiplication of two factors. Collins, 



J. V. Am. As. P. (1899) 69-. 

 Linear vector equation of central pedal of 



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



(1883) 32-. 

 equations, solution in special conditions. 



Elfrinkhof, L. van. N. Arch. Wisk. 19 



(1892) 132- ; Fschr. Mth. 24 (1895) 84. 



and vector function. Tait, P. G. Edinb. 

 E. S. P. 21 (1897) 160-, 310- ; 22 (1900) 547-. 



vector functions, scalar invariants of two. 

 Joly, C. J. [1895] Ir. Ac. T. 30 (1892-96) 

 709-. 



, theory. Joly, C. J. [1894] Ir. Ac. 



Tr. 30 (1892-96) 587-. 

 Lineo-linear vector functions. Hathaway, 



A. S. Am. As. P. (1892) 59-. 

 Loci of the equations p = (f> w e and p = (p v \f/ v e. 



Hyde, E. W. Z. Mth. Ps. 42 (1897) 122-. 

 Magnitudes possessing extension, measurement. 



Study, E. Wien Ak. Sb. 91 (1885) (Ab. 2) 



100-. 

 Mixed products. Mueller, E. Mth. A. 48 



(1897) 589-. 

 Moments of inertia (Grassmann's method). 



Mehmke, R. Mth. A. 23 (1884) 143-. 

 Non-congruent quantities, geometrical division. 



Hyde, E. W. A. Mth. 4 (1888) 9-. 

 Operations on imaginaries considered geometri- 

 cally. Henkle, W. D. Des Moines Anal. 1 



(1874) 5-. 

 Parallelogram of forces, analytical proof. 



Imschenetsky, W. G. Fschr. Ps. (1889) (Ab. 



1) 290-. 

 Plane vectors, linear transformation. Peano, 



G. Tor. Ac. Sc. At. 31 (1895) 113- or 157-. 

 Point pairs, and circles in space, treated by 



Grassmann's method. Miiller, E. Mh. 



Mth. Ps. 7 (1896) 77-. 

 Polar affections of geometrical magnitudes 



in piano. (Direction of lines, etc.) 



" Lanivicensis," (Sylvester, J. J.). [18641 



Mess. Mth. 3 (1866) 11-. 

 Polars, theory, and algebraic configurations, 



application of Ausdehnungslehre. Grass- 



mann, H. G. [1877] Crelle J. Mth. 84 



(1878) 273-. 

 Quadruple algebra ; and equations of 5th order. 



Cockle, Jas. Ph. Mg. 35 (1849) 434-. 



Quaternions and " Ausdehnungslehre." Gibb, 



J. W. Nt. 44 (1891) 79-. 

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



complex variable theory, calculus 

 including. Lipschitz, R. 0. S. C. B. 91 

 (1880) 619-, 660-. 



, Hamilton's, place in Ausdehnungslehre. 

 Grassmann, H. G. Mth. A. 12 (1877) 375-. 



and vector analysis. Gibbs, J. W. Nt. 48 

 (1893) 364-. 



, principles. Peddie, W. Edinb. 



Mth. S. P. 11 (1893) 85-. 

 vectors. Knott, C. G. Nt. 48 (1893) 



516-. 

 Quotients of space directed lines. Elliott, E. B. 



Smiths. Misc. Col. 33 (1888) Art. 4, 106- ; 



(Wash. Ph. S. Bll. 10 (1888).) 

 Beduction of vectors and metric properties. 



Andrade, J. C. B. 125 (1897) 394-. 

 Bigid body, motion of (exercise in Grassmann's 



methods). Liiroth, J. Z. Mth. Ps. 43 (1898) 



243-. 

 Botations. Burali Forti, C. Bll. Sc. Mth. 23 



(1899)82-. 

 Screw as a unit in the Grassmannian system 



of the sixth order. Hyde, E. W. A. Mth. 8 



(1893-94) 38-. 

 Self -con jugate linear and vector functions, 



property. Tait, P. G. [1871] Edinb. B. S. 



P. 7 (1872) 498-. 

 Spherical geometry according to Grassmann. 



Miiller, E. Mh. Mth. Ps. 3 (1892) 365-; 



4 (1893) 1-, 93; 9 (1898) 269-. 

 Symbolic forms. O'Brien, M. [1851] Phil. 



Trans. (1852) 161-. 

 Symbolical geometry and mechanics. O'Brien, 



M. [1847] Camb. Ph. S. T. 8 (1849) 497-. 

 Use of v 1 and alternate numbers i, j, k in 



study of infinitesimal deformations. Perna, 



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

 Vector analysis. Chapman, C. H. J. H. Un. 



Cir. [10 (1890-91)] 46-. 

 . Tait, P. G. Nt. 47 (1892-93) 225-. 



. Donati, L. Bologna Ac. Sc. Mm. 7 



(1897) 11-. 



. Farkas, G. Mth. Termt. Ets. 16 



(1898) 321- ; Mth. Nt. B. Ung. 16 (1899) 

 111-; Orv.-Termt. Ets. (Termt. Szak) (1899) 

 91-; (1900) 1-, (Rv.)l-. 



. Burkliardt, H. D. Mth. Vr. Jbr. 5 



(1901) (Heft 1) 43-. 



, direct and logarithmic, &c. Malcor, 

 (Capt.) . Bv. Mar. et Col. 76 (1883) 735-; 

 77 (1883) 44-; 78 (1883) 416-. 



, a notation. Henrici, 0. B. A. Bp. 

 (1897) 560-. 



, reality of roots of symbolical cubic. 

 Tait, P. G. [1867] Edinb. B. S. P. 6 

 (1869) 92-. 



conditions, integrability. Tait, P. G. 

 [1877] Edinb. E. S. P. 9 (1878) 527-. 



, derivatives of a. Daniels, F. Z. Mth. Ps. 

 45 (1900) 203-. 



differentiation. MacFarlane, A. [1900] 

 Wash. Ph. S. Bll. 14 (1906) 73-. 



fields and fields of force. Broca, A. C. B. 

 130 (1900) 109-. 



61 



