0400 Arithmetic 



Practical conformal representation by current 



sheets. Kelvin (Lord). Elect. 29 (1892) 



553, 634. 

 Probable values of constants in u=a + by. 



Anon, 's Gravenh. I. Ing. Ts. (1884-95) 



(Verg.) 68-. 

 Problems, solution by cycloid. Guimaraes, E. 



G. Teix. J. Sc. 6 (1885) 85-; Fschr. Mth. 



(1884) 492. 

 of third and fourth degrees, solution. 



Lame, G. J. Gen. Civ. 1 (1828) 435-. 

 Quadrature, graphical method. Collignon, E. 



Par. S. Mth. Bll. 15 (1887) 145-. 

 Eepresentation of physical properties of sub- 

 stances by surfaces. Peddie, W. Edinb.Mth. 



S. P. 2 (1884) 33-. 

 z=f(x, y). Lalanm, L. Par. S. Phlm. 



P.-V. (1843) 71-. 

 Saturated carbides (C n H' 2n + 2 ), representation. 



Brunei, . Bordeaux S. Sc. Mm. 5 (1895) 



xxxix-. 

 Series of experiments, graphic representation. 



Sebelien,J. (xn) Ts. Mth. 1 (1883) 186- ; 



Fschr. Mth. 16 (1887) 182-. 

 Solutions by construction. Hill, T. Am. As. 



P. (1855) 62-. 

 Spherical triangles, graphic method of solution. 



Smith, C. H. Am. J. Mth. 6 (1884) 175-. 

 " Spiraligrafico meccanico," instrument for 



graphical calculations. Sayno, A. Mil. I. 



Lomb. Ed. 7 (1874) 499-. 

 Statistical science, new step. Galton, F. Nt. 



51 (1894-95) 319. 

 Statistics, graphical presentation. Haupt, 



L. M. Franklin I. J. 148 (1899) 384-. 

 , mathematical representation. Edgeworth, 



F. Y. B. A. Ep. (1898) 791. 

 Terms of imprisonment, statistics and curves. 



Galton, F. Nt. 52 (1895) 174-. 

 Theory of contours and its applications in 



physical science. Peddie, W. Edinb. Mth. 



S. P. 4 (1886) 25-, 61-. 

 Transcendent numbers, graphic construction. 



Laisant, C. A. Par. S. Phlm. Mm. Cent. 



(1888) 63-. 

 Triangle for calculation purposes. Chenevier, 



. As. Fr. C. E. (1886) (Pt. 1) 85. 

 , graphical solution. Weisz, J. A. (xn) 



Mag. Ak. Ets. (1858) 73-. 

 Vector diagrams, use, for representation of 



diurnal variation of earth's magnetism. 



Chree, C. Nt. 61 (1899-1900) 490. 

 N.B. For references to other papers belonging 

 to 0000-0090 see Special Sections. 



ARITHMETIC AND ALGEBRA. 



Foundations of Arithmetic. 

 0400 General. 



Additive theory of numbers. Vahlen, K. T. 



Crelle J. Mth. 112 (1893) 1-. 

 Arithmetic, foundation of modern. Montessus, 



E. de. Ens. Mth. 1 (1899) 185-. 

 , principles. Volkov, M. S. Kazan S Nt 



(Ps.-Mth.) P. 4 (1886) 5-. 

 , theories. Frege, . Jena. Sb. (1885) 94-. 



Arithmetic 0400 



Arithmetic, two problems. Schlegel, M. Arch. 



Mth. Ps. 11 (1892) 93-. 

 Arithmetical puzzle. Gopel, A. GrunertArch. 



6 (1845) 34-. 

 Arithmology. Terquem, 0. N. A. Mth. 9 



(1850) 174-. 

 , elementary. Lalanne, L. C. E. 11 (1840) 



903-. 

 , application to algebra. Lebesgue, V. A. 



N. A. Mth. 1 (1862) 219-, 254-, 405-. 

 Axiom of Archimedes. Stolz, 0. Mth. A. 39 



(1891) 107-. 

 Axioms of arithmetic. Milhaud, G. Ev. Sc. 



40 (1887) 46-. 

 Cipher, value. Vencat-Juggarow , G. Madras 



J. 2 (1835) 369-. 

 Code, arithmetical. Claudel, . (viz) A. 



Cond. Pon. Chauss. 4 (1860) 92-. 

 Decimals. Peacock, A. B. A. Ep. (1842) 



(pt. 2) 10-. 



. Spitzer, S. Grunert Arch. 9 (1847) 117-. 

 "Dual arithmetic," new, applied to military 



calculations. Byrne, O. (ix) [1866] Un. 



Serv. I. J. 10 (1867) 37-. 

 Equivalence, arithmetic conception. Min- 



kowski, H. Crelle J. Mth. 100 (1887) 449-. 

 Euclid's books VII, VIII, IX, summary. 



Peano, G. Ev. Mt. 1 (1891) 10-. 

 Fractions, certain. Tucker, E. L. Mth. S. 



P. 10 (1878-79) 123, 225-. 

 , vulgar. A., S. (vr Adds.) Tilloch Ph. 



Mg. 48 (1816) 204. 

 , , a set. Stouvenel, V. Liouv. J. Mth. 5 



(1840) 265-. 

 Geometry, application to arithmetic. Ricour, 



A. Douai Mm. S. Ag. 11 (1873) 279-. 

 Infinite quantities. Oltramare, G. Gen. I. 



Nt. Mm. 4 (1856) 1-. 



real integers, and their relation to each 

 other. Cantor, . D. Nf. B. (*1883) 57. 



Lagrange's "Solution d'un probleme d'arith- 

 m^tique," remarks on preface. Plana, G. 

 Tor. Mm. Ac. 20 (1863) 87-, 109-. 



Magnitude : fundamental notions. Calinon, A . 

 Nancy S. Sc. Bll. (1897) 39-. 



and its measure. Zaremba, S. Wiad. Mt. 

 1 (1897) 58-. 



New mathematics, interpretation of old by. 

 Halsted, G. B. Texas Ac. Sc. T. 1 (No. 2) 



Number and allied conceptions, definition. 



Thiele, T. N. Kjrfb. Dn. Vd. Selsk. Skr. 2 



(* 1881-86) 451- ; Fschr. Mth. (1887) 64-. 

 , conception. Kronecker, L. Crelle J. Mth. 



101 (1887) 337-. 

 _, _. Keferstein, H. Hamb. Mth. Gs. Mt. 



2 (1890) (Festschr. Tl. 2) 119-. 

 , . Peano, G. Ev. Mt. 1 (1891) 87-, 256-. 

 , . Hilbert, D. [1899] D. Mth. Vr. Jbr. 



8 (1900) (Heft 1) 180-. 

 , definition. Laurent, H. N. A. Mth. 17 



(1898) 277-. 

 Numeral and metral systems. Garbett, E. L. 



Glasg. Ph. S. P. 8 (1873) 329-. 

 Numeration. Gergonne, J. D. Gergonne A. 



Mth. 21 (1830-31) 329-. 

 . Eocquigny, F. [G.] de. Les Mondes 1 



(1881) 266-. 



42 



