0840 



Ausdehnungslehre ; vector analysis 



"Ausdehnungslehre," Grassmann's. Schlegel, 

 V. Z. Mth. Ps. 41 (1896) (H.-lt. Ab.) 1-, 



, , applications. Clifford, W. K. Am. 



J. Mth. 1 (1878) 350-. 

 , , to mechanics. Schlegel, V. Giving. 



40 (1894) 59-. 

 , , properties of circles. Cox, H. 



QJ. Mth. 25 (1891) 1-. 

 , , relation to modern geometrical methods. 



Schlegel, S. F. V. Z. Mth. Ps. 24 (1879) 



83-. 

 , mechanics according to principles of. 



Grassmann, H. G. Mth. A. 12 (1877) 222-. 

 , and modern algebra. Grassmann, H. G. 



Mth. A. 7 (1874) 538-. 

 , place in the associative algebra of quaternion 



type. Joly, C. J. Ir. Ac. P. 6 (1900-02) 



13-. 

 Barycentre of curvature of plane curves. 



Steiner, J. G. Arcad. 101 (1844) 257-; 



102 (1845), 1-, 121-. 

 Barycentric calculus, application to problems 



in analytical geometry. Minding, E. F. A. 



Crelle J. 5 (1829) 397-. 

 based on composition of straight lines. 



Mdbius, A. F. Crelle J. 28 (1844) 1-. 

 Complex function, construction, theorem of 



Picard. Stolz, O. [1880] Innsb. Nt. Md. 



B. 11 (1881) 27-. 



functions, geometric representation. 

 Wittstein, T. Grunert Arch. 7 (1846) 411-. 



variables, extension to 3 dimension space. 

 Hall, T. P. Iowa Ac. Sc. P. 6 (1899) 

 202-. 



Composition of simultaneous and successive 

 vectors. MacFarlane, A. Science 4 (1896) 

 346. 



Crystallography, parameters of, and vectors 

 of higher order. Voigt,W. Gott. Nr. (1900) 

 355. 



Curves with branches in several planes, 

 existence. (Geometrical interpretation of 

 J - 1 and fractional powers). Gregory, 



D. F. Camb. Mth. J. 1 (1839) 259-. 

 Directed magnitudes. Baiter, A. L. Rochester 



(N. Y.) Ac. Sc. P. 3 (1900) 162-. 

 Directions and rotations, arithmetic. Berdelle, 



C. As. Fr. C. R. (1887) (Ft. 2) 197-. 

 Directive algebra, application. Neuberg, J. 



(xn) Mathesis 1 (1881) 123-. 



, to geometry. Transon, A. N. A. 



Mth. 7 (1868) 145-, 193-, 241-. 



arithmetic. - Berdelle, C. As. Fr. C. R. 

 (1888) (Pt. 2) 109-. 



Distance, theory. Clifford, W. K. B. A. Rp. 

 39 (1869) (Sect.) 9. 



Diihring's vector conceptions. Wessely, K. 

 Arch. Mth. Ps. 9 (1890) 393-. 



Electromagnetism, application of vector func- 

 tions. Petrini, H. Ups. S. Sc. N. Acta 15 

 (1895) No. 14, 60 pp. 



Equations in linear and vector functions, note 

 on solution. Tait, P. G. Edinb. R. S. P. 

 21 (1897) 497-. 



Equipollences, calculus, origin. Laquiere, 



E. M. As. Fr. C. R. (1881) 76-. 



0840 



Equipollences, graphic solution of geometrical 



problems. Bellavitis, G. [1842] Yen. Mm. 



I. 1 (1843) 225-. 

 , method. Bellavitis, G. A. Sc. Lomb. 



Yen. 7 (1837) 243-; 8 (1838) 17-, 85-; 



Mod. Mm. S. It. 25 (1855) 225-. 



, origin. Bellavitis, G. Ven. I. Mm. 

 19 (1876) 449-. 



, solution by. Bellavitis, G. G. Teix. 



J. Sc. 1 (1878) 145- ; 2 (1880) 3-. 



, proof of theorems by. Bellavitis, G. 

 Ven. At. 6 (1847) 53-. 



, solution of a question. Monteiro, A. S. 

 G. Teix. J. Sc. 2 (1880) 97-. 



External multiplication (i.e. use of alternate 

 numbers) in algebra. Fehr, H. N. A. 

 Mth. 14 (1895) 74-. 



Flat-space coordinates. Young, W. H. L. 

 Mth. S. P. 30 (1899) 54-. 



Forces, composition, deduced from general 

 principles. De Morgan, A. [1859] Camb. 

 Ph. S. T. 10 (1864) 290-. 



Function of complex argument applied to 

 lemniscate geometry, relationship, and kine- 

 matics. Holzmiiller, F. G. Z. Mth. Ps. 

 21 (1876) 325-. 



Functions of vectors, which are themselves vec- 

 tors. Burkhardt, H. Gott. Nr. (1893) 155-. 



Geometric calculus, essay. Peano, G. Tor. 

 Ac. Sc. At. 31 (1895) 552- or 952-. 



, principles. Macfarlane, A. [1900] N. 



Y. Am. Mth. S. Bll. 7 (1901) 158, 178. 



multiplication of surfaces. Chessin, A. S. 

 A. Mth. 9 (1894-95) 70-. 



sums and differences. Barre de Saint- 

 Venant, . C. R. 21 (1845) 620-. 



Geometry of arbitrary magnitudes. Bugaev, 

 N. V. [1888] Rec. Mth. (Moscou) 14 

 (1890) 394-; Fschr. Mth. (1891) 725-. 



Grassmann's geometrical theories. Ziicet, A. 

 A. Mth. 2 (1885-86) 1-, 25-. 



method. Carvallo, E. N. A. Mth. 11 

 (1892) 8-; 12 (1893) 454-. 



applied to prove theorems in deter- 

 minants. Milller, E. Z. Mth. Ps. 44 

 (1899) 28-. 



in projective geometry. Burali-Forti, 

 C. Palermo Cir. Mt. Rd. 10 (1896) 177-, 

 254-; 11 (1897) 64-. 



methods, applications. Mehmke, E. Z. 

 Mth. Ps. 37 (1892) 305-. 



, [centroid of quadrilateral and 

 pentagon]. Caspary, F. N. A. Mth. 17 

 (1898) 389-. 



, to elementary mechanics. Genese, 



R. W. As. Fr. C. R. (1894) (Pt. 2) 211-. 



, quadric curves and surfaces. 

 Miiller, E. Crelle J. Mth. 115 (1895) 234-. 



, vectors in a plane. Caspary, F. N. 

 A. Mth. 18 (1899) 248-. 



numbers in intrinsic geometry. Cesaro, 

 E. Rm. R. Ac. Line. Rd. 3 (1894) (Sem. 1) 

 367-, 621. 



Hertz's and Poynting's equations. Donati, L. 



Bologna Ac. Sc. Mm. 7 (1897) 633-. 

 Images in the representation of functions, 



theory. Harris, R. A. A. Mth. 4 (1888) 



65-, 128. 



60 



