1600 Algebra. General 



Nomography, problem of algebra relating to. 



Ocagne, M. d'. N. A. Mth. 12 (1893) 469-. 

 Notation, algebraic. Collins, J. V. Science 



20 (1892) 359. 

 , and fluxional, principles. Young, Dr T. 



QJ. Sc. 20 (1826) 321-. 



for printing complicated exponents. Glaisher, 

 J. W. L. [1872] Mess. Mth. 2 (1873) 107-. 



Order of factors immaterial. Gergonne, J. D. 



Gergonne A. Mth. 1 (1810-11) 52-. 

 Principles, doubtful points. Gyory, S. (xn) 



Mag. Ak. fits. (Mth. Term.) 1 (1860) 287-. 

 , three which connect algebra with other 



mathematics. Chelini, D. Palomba Eac. 



2 (1846) 57-, 73-. 

 Problem on a cask of brandy, a given quantity 



being withdrawn daily, and lighter spirit 



added. Niirnberger, . Baumgartner Z. 



4 (1828) 76-. 

 . Persons in a circle passing money to one 



another. Allegret, A. N. A. Mth. 16 (1857) 



136-. 



. Smallest number of weights needed. Ger- 

 gonne, J. D. Gergonne A. Mth. 8 (1817-18) 



305-. 

 Problems in Nouv. Ann. Mth. Bellavitis, G. 



Yen. At. 4 (1853) 79- ; (1860) 165-. 



for schools. Dienger, J. Grunert Arch. 9 

 (1847) 113-. 



Product of n factors, transformation. Tardy, P. 

 Tortolini A. 2 (1851) 287-. 



two algebraic expressions. Elliott, J. 

 Mth. Gz. 1 (1900) 187-. 



Proportions and progressions. Vecchio, A. G. 



Mt. 7 (1869) 43-. 

 Quadratic expressions, theorem. Lamb, H. 



[1880J Mess. Mth. 10 (1881) 35-. 

 Radicals, extraction by binomial theorem and 



Lambert's formula, accuracy. Schulz von 



Strasnzitzki, L. C. Baumgartner Z. 6 (1829) 



31-. 

 Rationalisation. Herth, G. (vi. Adds.) D. 



Nf. Vsm. B. 34 (1858) 105. 

 , case. Ward, P. C. Mess. Mth. 15 (1886) 



42-. 



of denominators. Grebe, E. W. Grunert 

 Arch. 13 (1849) 68-. 



. Zehfuss, G. Grunert Arch. 35 (1860) 



117-. 



. Janisch, E. Arch. Mth. Ps. 10 



(1891) 420-. 



, note. MacMahon, (Capt.) P. A. Mess. 

 Mth. 15 (1886) 65-. 



Ratios of k quantities, approximate representa- 

 tion by ratios of simple integers. Oliver, J. E. 

 [1864] Am. Ac. P. 6 (1866) 288-. 



Reduction of Fahrenheit to centigrade. Tiberi, 

 E. Ev. Sc.-Ind. 30 (1898) 216-. 



Va + N/6 to the sum of two squares. 

 Schmidt, E. Ts. Mth. 2 (1884) 154-; Fschr. 

 Mth. (1884) 146. 



Roots, elementary theory. Baltzer, E. Grunert 

 Arch. 18 (1852) 405-. 



of higher degree analogous to B + A \/a. 

 Grebe, E. W. Grunert Arch. 13 (1849) 400-. 



Rule of three, theory. Gergonne, J. D. Ger- 

 gonne A. Mth. 7 (1816-17) 117-. 



Rational polynomials 1610 



Sign, doubtful, in algebraic formulae, meaning. 

 Stevelly, J. B. A. Rp. (1836) (pt. 2) 5-. 



-symbols, theorems relating to. Cayley, A. 

 Mess. Mth. 2 (1873) 17-. 



Signs. Schellbach, C. H. Crelle J. 12 (1834) 

 70-, 148-. 



. Transon, A. N. A. Mth. 6 (1867) 289-. 



, influence in mathematics. Babbage, C. 

 [1821] Camb. Ph. S. T. 2 (1827) 325-. 



, + and - , significance. Purgotti, S. Pal- 

 omba Rac. 3 (1847) 265-, 285-, 324-. 



, , , algebraic. Massini, L. Pal- 

 omba Rac. 1 (1845) 73-. 



, , before radical ,J . Judson, C. H. 



Des Moines Anal. 2 (1875) 70-. 



Simplification of an algebraic expression. 

 Langley, E. M. Mth. Gz. 1 (1900) 129. 



Square root of A+*JB. Gopel, A. Grunert 

 Arch. 3 (1843) 249 



quadrinomial surd. Bierens de Haan, 



D. N. Arch. Wisk. 3 (*1877) 208-. 



, test for recognizing whether operations 



va*Jvb>Jwi etc. can be effected under 



form a\/v/3\/wi. Weichold, G. C. R. 96 



(1883) 835-. 

 Surd Va <Jb, explanation of Euler's objection 



to Newton's rule for extraction of root. 



Plana, G. Crelle J. 17 (1837) 331- ; 20 (1840) 



283-. 

 , extraction of root. Plana, G. N. A. 



Mth. 7 (1848) 271-. 



Surds. Reduction of \/a + Wc to m + nVc. 



Kausler, C. F. [1806] St Pet. Ac. Sc. Mm. 



2 (1810) 64-. 

 , theorems. Treuil, . Gergonne A. Mth. 



12 (1821-22) 104-. 

 Symbol, new. Whitworth, W. A. Mess. Mth. 



5 (1871) 121. 

 Symbols, algebraic. Baker, A. L. Am. J. 



Mth. 18 (1896) 62-. 

 , new algebraic, in Phil. Trans. 1862. Drach, 



S. M. (vn) Ph. Mg. 26 (1863) 406-. 

 Theory of algebra, from arithmetical principles, 



and nature of signs, etc. Glcesener, M. Liege 



A. Ac. (1818-19) 64 pp. 

 Variations and combinations with fixed totals. 



Reich, K. Arch. Mth. Ps. 11 (1892) 225-. 

 Viete, Francois, new algebra of. Eitter, F. 



As. Fr. C. R. (1892) (Pt. 2) 177-. 



1610 Rational polynomials; 

 divisibility ; reducibility. 



Algebraic calculation and division. Zmurko, W. 



Krk. Ak. (Mt.-Prz.) Pam. 12 (1886) (1)-; 



Fschr. Mth. (1886) 120. 



Approximate expressions, linear in two poly- 

 nomials. Cebysev, P. St Pet. Ac. Sc. Mm. 



(Es.) 30 (*1877) (Suppl.) No. 4, 24 pp. 

 fractional expression for (l + Ji) n to any odd 



number of terms. Steggall, J.E.A. Edinb. 



Mth. S. P. 10 (1892) 21-. 

 Arithmetic, theorem of Lagrange. Grunert, 



J. A. Arch. Mth. Ps. 47 (1867) 328-. 



77 



