6410 



Principles of Geometry. Parallels 



6410 



Meikle, H. Edinb. N. Ph. J. 36 (1844) 310- ; 



43 (1847) 255-. 



Minarelli, C. N. A. Mth. 8 (1849) 312-. 

 Lionnet, E. N. A. Mth. 9 (1850) 37. 

 Anon, (vi 840) Nap. At. Ac. 6 (1851) 1-. 

 Cabot, . N. A. Mth. 14 (1855) 230-. 

 Hennessy, J. P. Ph. Mg. 12 (1856) 283-, 



371-. 



Osorio, R. G. Coimbra I. 4 (1856) 86-. 

 Schulten, N. G. af (fil.) Helsingf. Acta 4 



(1856) 25-. 

 Stevelly, J. B. A. Ep. (1856) (Ft. 2) 8-; Ph. 



Mg. 12 (1856) 220-. 



Vincent, A. J. H. C. K. 42 (1856) 1107-. 

 Day, A. Ph. Mg. 13 (1857) 156-. 

 Bouche, A. M.-et-L. Mm. S. Ac. 4 (1858) 



162-. 

 Buniakovskij, V. Ja. St Pet. Ac. Sc. Mm. 



(Es.) 2 (*1862) 19-; St Pe"t. Ac. Sc. Bll. 5 

 1863) 387-. 



Thompson, T. P. E. S. P. 12 (1862-63) 268-. 

 Lobatcheu-sky, N. I. Bordeaux Mm. S. Sc. 4 



(cah. 1) (1866) 83-. 



Grunert, J. A. Arch. Mth. Ps. 47 (1867) 307-. 

 Baltzer, E. Leip. B. 22 (1870) 95-. 

 Dillner, G. Ts. Mt. Fys. 3 (1870) 1-. 

 Bunyakovskii, V. Y. [1872] (xn) Eec. Mth. 



(Moscou) 6 (1872-73) (Pt. 1) 77-. 

 Johnson, W. W. Des Moines Anal. 3 (1876) 



103-. 



Budden, E. Nt. 35 (1887) 92-. 

 (Budden's demonstration.) Henrici, 0. Nt. 35 



(1887) 100. 

 Duclout, J. A-rg. S. Ci. A. 30 (1890) 308-, 



351-, 467-; 31 (1891) 5-, 111-, 161-, 213-, 



257- ; 32 (1891) 72-, 132-. 

 Application of algebraic functions to proof of 



properties of parallels. Ivory, J. (vi Adds.) 



Tilloch Ph. Mg. 63 (1824) 161-, 246-. 

 law of logic. Matzka, W. Grunert 



Arch. 8 (1846) 320-. 

 Bolyai, letter of 1823. Szily, K. Mth. Termt. 



Ets. 5 (1887) 187- ; Mth. Nt. B. Ung. 5 



(1886-87) 189-. 

 Catalan's postulate. Breton [de Champ], P. 



N. A. Mth. 7 (1848) 93-, 401-. 

 Definition of parallels. Bonnel, J. [1887] 



Lyon Ac. Mm. (Sc.) 29 (1888) 41-. 

 , importance. Hennessy, J. P. Ph. 



Mg. 12 (1856) 452-. 

 Dodgson's theory. Tucker, E. [1888] Nt. 39 



(1889) 175. 

 Euclid's axiom. Olivier, L. Crelle J. 1 (1826) 



151-. 

 . Flye Sainte-Marie, C. [1870] (ix) Par. 



S. Phlm. Bll. 7 (1871) 9-. 



. Lionnet, E. C. E. 70 (1870) 31-. 

 . Stolz, O. [1885] Innsb. Nt. Md. B. 



15 (1886) 25-. 

 . Simon, M. D. Mth. Vr. Jbr. 1 (1892) 



39, 41. 

 . Mansion, P. Mathesis 16 (1896) 109- ; 



18 (1898) 188-. 



. Frolov,(legen.)M. Mathesis 16 (1896) 



225- ; As. Fr. C. E. (1898) (Pt. 2) 104-. 

 . Brassai, S. Mag. Tud. Ak. Ets. 9 



(1898) 415-. 



Euclid's axiom. Sincov, D. M. Kazan S. Ps.- 



Mth. Bll. 9 (1900) (Prot.) 44. 

 . Tikhomandritzky, M. Ens. Mth. 2 



(1900) 385-. 

 . Mansion, P. Ens. Mth. 2 (1900) 457. 



, consequences. Sikstel, W. Fschr. 

 Mth. (1896) 373-. 



, demonstration. Limrick, P. As. Ee- 



searches 7 (1801) 449-. 

 , . Anon, (vi 548) Gergonne A. Mth. 



14 (1823-24) 269-. 

 , . Bouvier, L. C. Gergonne A. Mth. 



17 (1826-27) 152-. 

 , . Wilkie, D. [1832] Queb. T. Lt. 



S. 3 (1837) 72-. 

 , . Twining, A. C. Silliman J. 1 



(1846) 89-. 

 , . Horlych, H. T. Grunert Arch. 18 



(1852) 455-. 

 , . Lamarle, E. Brux. Ac. Bll. 23 



(1856) (pte. 2) 408-, 637-. 



, . Kulik, J. P. Prag Sb. (1860) 20-. 



, . Murray, B. A. Ph. Mg. 33 (1867) 



264-. 

 , . Twining, A. C. Am. As. P. 18 



(1869) 39- ; Am. J. Sc. 4 (1872) 333-. 

 , . Rossi Re, V. de. Em. N. Line. 



At. 31 (1878) 461-. 



, , Bertrand's. Luroth, J. Z. Mth. 



Ps. 21 (1876) 294-. 



, , . Becker, J. C. [1876] Z. Mth. 



Ps. 22 (1877) 60-. 



, , impossibility of, by plane construc- 

 tion. Hcritel, J. Bordeaux Mm. S. Sc. 8 



(1870) xi-. 



, , possibility of, by stereometry. 

 Gunther, S. G. Mt. 14 (1876) 97-. 



and the foundations of geometry. Coin- 

 mines de Marsilly, (le gen.) de. As. Fr. C. 

 E. (1889) (Pt. 2) 88-. 



Lacroix's. Berolle, . Les Mondes 



11 (1866) 55- ; 12 (1866) 513-. 



, principles of mechanics and geometry in 



relation to. Genocchi, A. [1869] Mod. S. 

 It. Mm. 2 (1876) 153-. 



, Saccheri's researches. Mansion, P. 

 Brux. S. Sc. A. 14 (1890) (Pt. 2) 46-. 



Geometrical theory. LUdicke,M.A.F. Gilbert 



A. 72 (1822) 423-. 

 Lambert's theory. Stackel, P. Bb. Mth. (1899) 



107-. 

 Legendre's proof of properties of lines. Young, 



G. P. On. J. 1 (1856) 519-. 

 LobaSevskij ' s views prior to 1826. Wassiljef, A . 



D. Mth. Vr. Jbr. 4 (1897) 88-. 

 Metternich's theory. Wachter, . Lindenau 



Z. 2 (1816) 64-. 

 Non-Euclidean geometry and theory of parallels, 



opinions of Dutch mathematicians. Janssen 



van Eaay, W. H. L. [1900] Kazan S. Ps.- 



Mth. Bll. 10 (1901) 1-. 

 Plane geometry. Sexe, S. A. N. Mg. Ntvcl. 



19 (1873) 282-. 

 Point and line calculus. Graefe, F. Arch. 



Mth. Ps. 15 (1897) 34-, vn-. 

 Problems, celebrated. Franchini, P. Lucca 



At. Ac. 8 (1835) 91-. 



420 



