6410 



Principles of Geometry ; Hyperspace 



XII) 



6410 



Geometry, proofs. Forchhammer, G. 



Ts. Mth. 5 (1881) 157-. 

 , theorem. Schlegel, S. F. V. As. Fr. C. E. 



(1887) (Ft. 2) 264-. 

 History. Haft, F. Arg. S. Ci. A. 30 (1890) 



337-. 

 Intersection of straight lines and planes. 



Segre, C. Palermo Cir. Mt. Bd. 2 (1888) 



45-. 



Kinematics, 4-dimensional, applied to 3 di- 

 mensions. Oss, S. L. van. N. Arch. Wisk. 



3 (1898) 165- ; Fschr. Mth. (1897) 492. 

 Plane, place in. Hoppe, E. Arch. Mth. Ps. 



68 (1882) 378-. 

 Prismoid. Schoute, P. H. Amst. Ak. Vh. 



(Sect. 1) 5 (1897) No. 2, 20 pp. 

 Projection of general locus into space of 3 



dimensions. Craig, T. Am. J. Mth. 2 (1879) 



252-. 

 Projections, 3-dimensional, of 4-dimensional 



regular bodies or cells. Schlegel . D. Nf . 



Tbl. (1884) 68-. 

 Quadratic spaces, special cluster. Schoute, P. 



H. D. Nf. Vh. (1900) (Th. 2, Hdlfte 1) 



Realisation. Hall, T. P. Science 19 (1892) 



272-. 



. Sanford, E. C. Science 19 (1892) 332. 

 Eotation of rigid system. Stringham, I. Am. 



As. P. (1884) 55-. 

 Sections of regular hypersolids. Stott, A. N. 



[1900] Amst. Ak. Vh. (Sect. 1) 7 (1901) 



No. 3, 21 pp. 

 Solids. Durege, H. Wien Ak. Sb. 83 (1881) 



(Ab. 2) 1110-. 

 Systems of "spheres." Le Vavasseur, . 



Toul. Ac. Sc. fill. 2 (1899) 71-. 

 Volume of pentahedron. Liers, E. Arch. Mth. 



Ps. 12 (1894) 344-. 



6-dimensional space, homogeneous coordi- 

 nates, etc. Aschieri, F. G. Mt. 12 (1874) 

 368-. 



n-Dimensional Space. 



Betti, E. A. Mt. 4 (1870-71) 140-. 



Lunde, J. L. Arch. Mth. Ntvd. 12 (1888) 



364-. 



Badoureau, A. Rv. Sc. 46 (1890) 586-. 

 Mansion, P. Brux. S. Sc. A. 17 (1893) (Pt. 1) 



12-. ' 

 Chandler, C. H. Wise. Ac. T. 11 (1898) 



239-. 

 Analogue to maximum tetrahedron of given 



surface. Borchardt, C. W. Berl. Ab. (1866) 



(Mth.) 121-. 

 Angles. Hoppe, E. Arch. Mth. Ps. 66 (1881) 



448; D. Nf. B. (*1883) 55-. 

 . Cassani, P. Rm. R. Ac. Line. Rd. 1 



(1885) 133- ; Ven. I. At. (1894-95) 388-. 

 between 2 spaces. Castelnuovo, G. Ven. I. 



At. (1884-85) 1331-. 

 Complex variables. Volterra, V. Rm. R. Ac. 



Line. Rd. 5 (1889) (Sem. 1) 158-. 

 Concept. Cassani, P. [1869] (rx) Ven. Aten. 



At. 6 (1870) 63-. 



Coordinates, hypotheses permitting introduc- 

 tion. Enriques, F. Palermo Cir. Mt. Rd. 12 

 (1898) 222-. 



Curvature. Folie, F. Leip. As. Gs. Vjschr. 

 35 (1900) 332-. 



Curve, number of independent equations repre- 

 senting. Veronese, G. Mth. A. 18 (1881) 

 448. 



Curves, class. Lasker, E. Nt. 52 (1895) 

 596. 



Definition, and hypothesis of continuity in our 

 space. Loria, G. G. Mt. 25 (1887) 97-. 



Distance relations. Study, E. Z. Mth. Ps. 

 27 (1882) 140-. 



Figures, regular, linearly bounded. Hoppe, E. 

 Arch. Mth. Ps. 68 (1882) 151-. 



Geometry. Cayley, A. Camb. Mth. J. 4 (1845) 

 119-. 



. Halphen, G. H. [1873] Par. S. Mth. 

 Bll. 2 (1874) 34-. 



. Jordan, C. Par. S. Mth. Bll. 3 (1875) 

 103-. 



. Veronese, G. Rm. R. Ac. Line. T. 5 



(1881) 303-, 333-. 



. Schlegel, S. F. V. Par. S. Mth. Bll. 10 



(1882) 172-. 



. Cassani, P. G. Mt. 23 (1885) 1-. 



. Dickstein, S. Prace Mt.-Fiz. 1 (1888) 



129- ; Fschr. Mth. (1888) 656. 

 . Veronese, G. Palermo Cir. Mt. Rd. 6 



(1892) 42-. 

 . Caisani, P. Ven. I. At. (1893-94) 



820-. 

 . Vasiljev, A. V. Kazan S. Ps.-Mth. Bll. 



4 (1895) (Pro*.) 16-. 

 . Dupuis, N. F. Cn. R. S. P. & T. 3 (1897) 



(Sect. 3) 3-. 

 . Barbarin, P. As. Fr. C. R. (1898) (Pt. 2) 



, history and state. Schlegel, V. Lpldina. 



22 (1886) 92-, 108-, 133-, 149-, 160- ; Ens. 



Mth. 2 (1900) 77-. 

 Lines, property. Lovett, E. 0. Am. J. Mth. 



22 (1900) 226-. 

 Manifoldness. Mlodzeevskij, B. K. Mosc. Un. 



Mm. (Ps.-Mth.) 8 (1889) xn-t- 155 pp. ; Fschr. 



Mth. (1891) 863-. 

 Maximum, geometrical question, extension. 



Geiser, C. F. Mil. I. Lomb. Rd. 1 (1868) 



778-. 

 Means of arriving at conception of hyperspace. 



Farjon, F. N. A. Mth. 14 (1895) 101-. 

 Measures. Cesdro, E. G. Mt. 24 (1886) 



49-. 

 Metric functions, fundamental, in spaces of 



n dimensions and constant curvature. Ovidio, 



E. d'. Rm. R. Ac. Line. Mm. 1 (1877) 



929-. 

 Philosophy of hyperspace. New comb, S. [1897] 



N.Y. Am. Mth. S. Bll. 4 (1898) 187-. 

 (Newcomb). Halsted, G. B. Science 



7 (1898) 212. 

 Plane spaces, metrical relations. Lasker, E. 



Nt. 52 (1895) 340-. 

 Planet problem in curved space. Lipschitz, E. 



[1872] QJ. Mth. 12 (1873) 349-. 

 Points, associated groups. Castelnuovo, G. 



Palermo Cir. Mt. Rd. 3 (1889) 179-. 



414 



