6410 



Principles of Geometry ; Hyperspace 



6410 



6410 Principles of geometry ; non- 

 Euclidean geometries; hyper - 



Absolute conic, Cayley's theory. Scott, C. A. 

 N. Y. Am. Mth. S. Bll. 3 (1897) 235-. 



geometry. Bolyai de Bolya, J. Bordeaux 

 Mm. S. Sc. 5 (1867) 206-. 



(Bolyai). Schmidt, F. D. Mth. Vr. 



Jbr. 4 (1897) 107-. 

 ( ). Macaulay, F. S. Mth. Gz. 1 



(1900) 25-, 49-. 

 (_). sttickel, P. Mth. Termt. Ets. 18 



(1900) 241- ; Mth. Nt. B. Ung. 17 (1901) 



'-. Time, A. Arch. Mth. Ntvd. 10 (1886) 



304-. 

 , dualism. Thue, A. Ts. Mth. 3 (1885) 



129- ; Fschr. Mth. (1885) 507-. 

 , parallel construction. Simon, M. Crelle 



J. Mth. 107 (1891) 84-. 

 Abstract geometry. Cayley, A. [1869] Phil. 



Trans. 160 (1870) 51-. 

 Analytical non-Euclidean geometry. Haus 



dor/, F. Leip. Mth. Ps. B. 51 (1899) (Mth.) 



161-. 



. Barbarin, P. Brux. Mm. Cour. 

 8, 60 (1900-01) No. 1, 167 pp. 



Angles in a triangle, Legendre's principle. 

 Knight, T. Nicholson J. 27 (1810) 285-. 



, second theorem, demonstra- 

 tion. Tilly, de. Mathesis 19 (1899) 5-. 



, theorems on sum. Dehn, 

 M. Mth. A. 53 (1900) 404-. 



, sum. Tilly, de. Mathesis 



19 (1899) 265-. 



. , , Thibaut's demonstration. 

 Germar, F. H. Grunert Arch. 15 (1850) 

 361-. 



Angular geometry. Heatly, S. G. T. Beng. 



J. As. S. 11 (1842) 230-, 782-. 

 Anharmonics. Lovett, E. 0. L. Mth. S. P. 



29 (1898) 566-. 

 Aninvolutive metrics. Fontene, G. Par. S. 



Mth. Bll. 26 (1898) 176-. 

 Area of spherical triangle, generalisation. 



Stouff, X. C. E. 122 (1896) 303-. 

 and volume, concept. Hadamard, . 



Bordeaux S. Sc. PV. (1896-97) 25-. 

 , (Euclid's assumption). Thue, A. 



Arch. Mth. Ntvd. 10 (1886) 181- ; Fschr. 



Mth. (1885) 507. 

 Asymptotes. Laurent, H. N. A. Mth. 7 (1868) 



413-. 

 Bipolar geometry, principles. Leonardt, G. 



Z. Mth. Ps. 27 (1882) 346-. 

 Calculus of distances, areas, etc., and its rela- 

 tions to other forms of space. Cotterill, T. 



Camb. and Dubl. Mth. J. 7 (1852) 275-. 

 Circular points at infinity. Mannheim, A. 



As. Fr. C. B. 2 (1873) 82-. 

 Coincidence axiom and Euclid i. 4. Bogoro- 



dickij, V. Kazan Un. Mm. (1892) (Pt. 2) 



129-. 

 Commensurables, theory. Sang, E. Edinb. 



B. S. T. 23 (1864) 721-. 



Compasses, Euclid's use of. Zeuthen, H. G. 



(xn) Ts. Mth. 6 (1882) 75-. 

 Content, theory. Ball, (Sir) E. S. 118871 Ir. 



Ac. T. 29 (1887-92) 123-. 

 Continuity, geometrical, history. Taylor, C. 



[1880] Camb. Ph. S. P. 4 (1883) 14-. 

 , postulate. Veronese, G. Bm. E. Ac. Line. 



Ed. 6 (1897) (Sem. 2) 161-. 



of space. Strong, W. M. N. Y. Am. Mth. 

 S. Bll. 4 (1898) 443-. 



Continuum, rectilinear, and axiom V of 

 Archimedes. Veronese, G. Em. E. Ac. 

 Line. Mm. 6 (1889) 603-. 



Definitions. Olivier, L. Crelle J. 1 (1826) 

 241-. 



and axioms in Barrow's Euclid. Saint, W. 

 Nicholson J. 23 (1809) 377-. 



propositions, fundamental, with reference 



to teaching. Newcomb, S. Nt. 21 (1880) 



293-. 

 Differential equations of geometry. Stringham, 



I. B. A. Ep. (1899) 646-. 

 3-dimensional space of constant curvature, 



problems of mechanics. Francesco, D, de. 



[1900] Nap. Ac. At. 10 (1901) No. 4, 38 pp., 



No. 9, 33 pp. 

 , elementary remarks. DroUsch, M. W. 



Leip. Mth. Ps. B. 28 (1876) 268-. 

 , geometry. Calinon, A. Nancy S. Sc. 



Bll. (1891) 35-. 

 , . Newcomb, S. Crelle J. Mth. 83 



(1877) 293-. 



4:-Diinensional Space. 



Eodivell, G. F. Nt. 8 (1873) 8-. 

 Durege, . D. Nf. Tbl. (*1880) 175-. 

 Billson, C. J. Leic. S. T. 1 (1889) (Pt. 2) 



Preble, W. P. Science 19 (1892) 304-. 

 De la Rive, . C. E. 120 (1895) 983-. 

 Analogue to quaternions. Wijthoff, W. A. 



Amst. Ak. Vs. 6 (1898) 520-. 

 Angles, calculation. Hoppe, E. Arch. Mth. 



Ps. 67 (1882) 269- ; 69 (1883) 278-. 



between 2 planes. Schoute, P. H. N. 

 Arch. Wisk. 3 (1898) 111-. 



, tetratops. Hoppe, E. Arch. Mth. Ps. 69 



(1883) 287-, 297-, 439-. 

 Complex of first order. Ascione, E. Em. E. 



Ac. Line. Ed. 6 (1897) (Sem. 1) 162-. 

 Concept. Wake, C. S. Science 19 (1892) 331-. 

 Crystals, types of regular system. Schoute, 



P. H. As. Fr. C. E. (1895) (Pt. 2) 278-. 

 Figure of six points. Richmond, H. W. OJ. 



Mth. 31 (1900) 125-. 

 Figures. Stringham, W. I. [1880] (xn) J. 



H. Un. Cir. [1] (1882) 33. 

 . Hoppner, J. D. Edinb. Mth. S. P. 14 



(1896) 121. 

 , regular, linearly bounded. Hoppe, E. 



Arch. Mth. Ps. 67 (1882) 29-. 

 , , , internal angles. Hoppe, E. 



Arch. Mth. Ps. 68 (1882) 110-. 

 Geometry, descriptive. Veronese, G. Yen. I. 



At. 8 (1881-82) 987-. 

 , and non-Euclidean geometry. Bruckner, 



M. Zwick. Vr. Nt. Jbr. (1893) 1-. 



413 



