2400 



Theory of Equations. General 



Differential operators, use in theory of equa- 

 tions. Hammond, J. L. Mth. S. P. 14 

 (1882-83) 119-. 



Equation whose roots are functions of roots of 



2 equations. Mackenzie, J. L. Edinb. Mth. 

 S. P. 5 (1887) 59-. 



2 roots of given equation. 



Amigues, E, N. A. Mth. 11 (1892) 245-. 

 Equations. Adder, . Bordeaux Ac. Se. Pbl. 



(1834) 50-. 

 , algebraic theory. Pellet, A. E. Par. S. 



Mth. Bll. 15 (1887) 61-. 

 , clearing surds from. All-man, W. [1813] 



Phil. Trans. (1814) 23-. 

 , congeneric surd. Horner, W. G. Ph. Mg. 



8 (1836) 43-. 

 , identities in theory. Brioschi, F. Tortolini 



A. 5 (1854) 301-. 

 , impossible. Cockle, Jas. Ph. Mg. 36 (1850) 



281-. 

 , . Finlay, R. Manch. Ph. S. Mm. 9 



(1851) 236-. 

 , and surd. Harley, R. Manch. Ph. S. 



Mm. 9 (1851) 207-. 



, infinitesimal theory of, and implicit func- 

 tions. Pellet, A. Par. S. Mth. Bll. 23 (1895) 



7-. 



with integral coefficients. Kronecker, L. 

 Crelle J. 53 (1857) 173-. 



. Runge, C. Gott. Nr. (1899) 



89-. 

 , metaphysics of. Cossali, P. Padova N. 



Sag. 1 (1817) 159-. 



with rational coefficients. Dedekind, R. 

 D. Mth. Vr. Jbr. 1 (1892) 33-. 



, rationalisation, direct method. Scheffler, H. 

 Grunert Arch. 13 (1849) 389-. 



in tenth book of Euclid's elements. Christen- 

 sen, S. A. Ts. Mth. 6 (1889) 161- ; Fschr. 

 Mth. (1888) 5. 



, theory. Abbati, P. Mod. Mm. S. It. 10 



(1803) 385-. 

 , . Cockle, Jas. Ph. Mg. 27 (1845) 



292-. 

 _ t _. Catalan, E. C. C. B. 47 (1858) 



797-. 

 , . Becker, J. K. Grunert Arch. 34 (1860) 



288-. 

 , . Buys-Ballot, C. H. D. Amst. Vs. Ak. 



13 (1862) 430-. 

 , . Cockle, (Sir) J. [1863] Manch. Lt. 



Ph. S. P. 3 (1864) 171-. 

 , . Brassinne, E. [1864] Toul. Mm. Ac. 



Sc. 3 (1865) 190-. 

 , . Petersen, J. P. C. (xn) Ts. Mth. 1 



(1865) 57-; 3 (1867) 46; 5 (1869) 174- ; 



3 (1879) 170- ; 6 (1882) 3-. 



, . Laurent, H. [Herm.] C. R. 62 (1866) 

 140-. 



, , algebraic transformation, and quad- 

 ruple algebra. Cockle, Jas. Ph. Mg. 3 (1852) 

 436-. 



, , analysis. Cockle, Jas., & Davies, . 

 Ph. Mg. 32 (1848) 351-. 



_, _, _. Cockle, Jas. Ph. Mg. 37 (1850) 

 493-. 



t ; application of rational mechanics to. 

 Lucas, F. C. B. 89 (1879) 224-. 



2400 



QJ. 



Equations, theory, formulae. Hudson, C. 



Mth. 18 (1882) 74-. 

 , , general, note. Vieille, J. N. A. Mth. 6 



(1847) 174-. 

 , , historical note. Bertrand, J. N. A. 



Mth. 14 (1855) 30-. 

 , , . Tortolini, B. C. E. 47 (1858) 



598-. 

 , , illustration of theorem. Cayley, A- 



Mess. Mth. 11 (1882) 111-. 

 , , synopsis. Cayley, A. Mess. Mth. 5 



(1876) 39-. 

 whose roots have their real parts negative. 



Hurwitz, A. Mth. A. 46 (1895) 273-. 

 Equivalent equations, some. Taylor, C. QJ. 



Mth. 10 (1870) 93-. 

 Fourier's "Analysis," error in. Murphy, R. 



Ph. Mg. 11 (1837) 38-. 

 Homogeneous functions of 2 polynomials of the 



same degree. Mirman, L. N. A. Mth. 4 



(1885) 173-. 



"Invention nouvelle en Palgebre " (reproduc- 

 tion of 16th century work by Albert Girard). 



Bierens de Haan, D. N. Arch. Wisk. 11 



(1884) 83-. 

 Irrationality in solution of f(xyz) = 0.j Enriques > 



F. Em. E. Ac. Line. Ed. 4 (1895) (Sem. 2) 

 311- ; Mth. A. 49 (1897) 1-. 



Irrationals, algebraic, theory. Capelli, A . Nap. 



Ed. 30 (1891) 61-. 

 Isobaric calculus. Cesdro, E. N. A. Mth. 3 



(1884) 561- ; 4 (1885) 59-, 578. 

 Logic of characteristics. Cayley, A. QJ. Mth. 



I (1857) 257-. 



Number of variations of a polynomial whose 



coefficients depend on a parameter. Andre", D. 



Par. EC. Norm. A. 2 (1885) 75-. 

 Progressions, geometrical, Euler-Pfaff theorem. 



Grunert, J. A. Grunert Arch. 2 (1842) 



220-. 

 , , . Luchterhandt, A. R. Grunert 



Arch. 3 (1843) 305-. 

 , , . Gopel, A. Grunert Arch. 



3 (1843) 394-. 



Quadri-quadric porism. Mathews, G. B. QJ. 



Mth. 30 (1899) 16-. 

 Quintic surds, 2, rationalisation of expression. 



Tortolini, B. (vm) A. Mt. 4 (1861) 



285-. 

 Badicals, removal from equations. Mooney, D. 



[1796] Ir. Ac. T. 6 (1797) 221-. 

 , . Hultman, F. W. Ts. Mt. Fys. 



4 (1871) 1-. 



Eational functions of n elements, and general 

 theory of equations. Konig, J. [1878] Mth. 

 A. 14 (1879) 212-. 



Eeviews of books by Fourier and Drobisch. 

 Gartz, . Grunert Arch. 1 (1841) 225-. 



Boots of derived equation, property. Legebeke, 



G. J. [1881] N. Arch. Wisk. 8 (*1882) 75-; 

 Arch. Neerl. 16 (1881) 273-. 



System of trigonometrical equations, with 

 applications to porisms of coaxal conies. 

 Wolstenholme, J. QJ. Mth. 10 (1870) 356-; 



II (1871) 66-. 



Systems of equations with peculiarities. Krey,H. 

 [1881] Mth. A. 19 (1882) 497-. 



157 



