6410 



Principles of Geometry ; Hyperspace 



6410 



Poincart, H. Par. S. Mth. Bll. 15 (1887) 203-. 



Broden, T. Fschr. Mth. (1890) 540-. 



Lie, S. Leip. Mth. Ps. B. 42 (1890) 284-, 



355-; 44 (1892) 106- ; C. E. 114 (1892) 461-. 

 Mansion, P. Brux. S. Sc. A. 14 (1890) (Pt. 2) 



35-. 



Killing, W. Crelle J. Mth. 109 (1892) 121-. 

 Wiener, H. D. Mth. Vr. Jbr. 1 (1892) 45-; 3 



(1894) 70-. 

 Schmidt, H. Crelle J. Mth. 112 (1893) 112-, 



319-. 



Peano, G. Ev. Mt. 4 (1894) 51-. 

 Bonnel, J. Lyon Ac. Sc. Mm. 3 (1895) 241-, 



351- ; 4 (1896) 129-, 373-, 433-; 5 (1898) 



401-. 



Burkhardt, H. Gott. Nr. (1895) 114-. 

 Cassani, P. Yen. I. At. (1898) 42-. 

 Hilbert, D. Par. EC. Norm. A. 17 (1900) 103-. 



General geometry. Tarry, G. As. Fr. C. E. 

 (1889) (Pt. 2) 60-; (1890) (Pt. 2) 152- ; 

 (1891) (Pt. 2) 90-; (1892) (Pt. 2) 132- ; 

 (1893) (Pt. 2) 217- ; (1894) (Pt. 2) 184-. 

 or metageometry, Schering's researches. 

 Mansion, P. Brux. S. Sc. A. 16 (1892) 

 (Pt. 1) 51-. 



, and its three subdivisions. Man- 

 sion, P. [1895] Brux. Ac. Bll. 29 (1895) 

 495-; Wiad. Mt. 1 (1897) 1-, 68-. 



Geometrical reasoning, facts in. Hennessy, 

 J. P. Ph. Mg. 5 (1853) 127-. 



Geometry, linear, superficial and solid. Heatly, 

 S. G. T. I. Ev. 1 (1837) 755-; 2 (1838) 38-, 

 82-, 151-, 205-. 



, new elements, and proofs of laws of opera- 

 tion. Smith, S. Am. I. T. (1850) 207-. 



, , founded on principle of analogues. 

 Valat, . Bordeaux Act. Ac. Sc. 27 (1865) 

 61-; 28 (1866) 35-. 



as purely logical system. Fieri, M. [1900] 

 N. Y. Am. Mth. S. Bll. 7 (1901) 158, 171-, 

 234. 



, system derived from ideas of direction and 

 position. Wedgwood, H. (vi Adds.) Ph. 

 Mg. 10 (1856) 459-. 



without axioms (Perronet Thompson). 

 Newman, F. W. W. Eng. J. 1 (1836) 68-. 



Gravity in Gaussian space. Schering, E. Gott. 



Nr. (1870) 311-. 

 multiply extended Gaussian and Eie- 



mann .spaces. Schering, E. Gott. Nr. 



(1873) 149-. 

 Higher geometry, laws. Boklen, 0. Grunert 



Arch. 33 (1859) 111-. 

 Imaginaries in pure geometry. Scott, C. A. 



N. Y._Am. Mth. S. Bll. 6 (1900) 163-. 

 , \/ - 1 in geometry. Shadow. (Pseudon.) 



Ph. Mg. 29 (1846) 171-. 

 Imaginary elements in geometry. McMahon, 



J. Am. As. P. (1888) 62. 



forms in geometry. Mouchot, A. C. E. 

 103 (1886) 1110-. 



, realisation and use. Marie, M. 



N. A. Mth. 9 (1890) 60-, 161-, 375-, 435-, 

 508- ; 10 (1891) 172-, 276-, 329-, 373-, 

 417-, 459-. 



Imaginary forms in geometry, realisation and 

 use (Marie). Boguslavsky, A. J. Fschr. 

 Mth. (1891) 726-. 



points in space, geometrical representation. 

 Molenbroek, P. [1890-91] N. Arch. Wisk. 



18 (1891) 132- ; Arch. Mth. Ps. 10 (1891) 

 261- ; N. A. Mth. 10 (1891) 434-. 



Indirect proof, admissibility. Sylvester, J. J. 



Ph. Mg. 4 (1852) 366-. 

 , (Sylvester). Adamson, Jas. Ph. Mg. 



5 (1853) 297-, 332-, 405-. 

 Infinity, concept, in elementary geometry. 



Ripert, L. Ens. Mth. 2 (1900) 370-. 

 , , (Eipert). Appell, P. Ens. 



Mth. 2 (1900) 205-. 



Length of arc, concept, as depending on con- 

 tinuity. Ascoli, G. Mil. I. Lomb. Ed. 17 



(1884) 564-. 

 , concept, and the straight line. Bettazzi, R. 



A. Mt. 20 (1892-93) 19-. 



of curve, concept. DM Bois-Reymond, P. 

 Acta Mth. 6 (1885) 167-. 



and space, concept. Wilkie, D. Queb. T. 

 Lt. S. 2 (1831) 64-. 



LobaSevskij's imaginary or pan-geometry. Lo- 



batschewsky, N. (vi Adds.) Kazan Mm. Un. 



(1835) cafe. 1, 3-; (1836) cah. 1,3-; Crelle 



J. 17 (1837) 295-; (xn) Kazan Un. Mm. 



(1835, Bk. 3) 3-; (1836, Bk. 2) 3-; (1836, 



Bk. 3) 3-; (1837, Bk. 1) 3-; (1838, Bk. 1) 



3-; (1838, Bk. 3) 3-; Liege S. Sc. Mm. 



2 (1900) No. 5, 101 pp. ; (xn) Kazan Un. Mm. 



(1855, Bk. 1) 1-; (iv) Erman Arch. Es. 17 



(1858) 397-. 

 . Cayley, A. Ph. Mg. 29 (1865) 



231-. 

 . Bonnel, J. Lyon Ac. Mm. (Sc.) 



29 (1888) 291-. 

 . Kagan, W. Fschr. Mth. (1896) 



373. 

 , additions. Varisco, D. G. Mt. 



28 (1890) 181-, 240. 

 , construction of tangents to circles, 



and doubly infinite manifoldness of spheres. 



Simon, M. D. Mth. Vr. Jbr. 3 (1894) 



80-. 

 , equation of horicycles and hori- 



spheres. Mansion, P. Brux. S. Sc. A. 23 



(1899) (Pt. 1) 32-. 



, intermediate planes (Zwischen- 



ebene) and limit surfaces (Grenzfliiche). 



Simon, M. [1898] D. Mth. Vr. Jbr. 7 



(1899) (Heft 1) 67-. 



, limit of a triangle. Dauge, F. 

 Mathesis 18 (1898) 267-. 



, parallels, construction. Engel, F. 



Kazan S. Ps.-Mth. Bll. 7 (1898) 118-. 



, , theory, and nature of space. 



Levett, R. [1877] Binn. Ph. S. P. 1 (1879) 

 (Pt. 2) 18-. 



and real linear transformations. 



Schwarz, A. Wien Ak. Sb. 99 (1891) (Ab. 2a) 



153-. 

 , series. Efimov, M. N. A. Mth. 



19 (1900) 28-. 



, space of five dimensions, properties. 



Mansion, P. Brux. S. Sc. A. 23 (1899) (Pt. 

 1) 5. 



416 



