The Messenger of Mathematics, Volumes 6-7Macmillan and Company, 1877 - Mathematics |
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... ALGEBRA , AND TRIGONOMETRY . Note on Continued Fractions . By Professor H. J. S. Smith Expressions for Laplace's Coefficients , Bernoullian and Eulerian Numbers , & c . , as Determinants . By J. W. L. Glaisher • On a Numerical Continued ...
... ALGEBRA , AND TRIGONOMETRY . Note on Continued Fractions . By Professor H. J. S. Smith Expressions for Laplace's Coefficients , Bernoullian and Eulerian Numbers , & c . , as Determinants . By J. W. L. Glaisher • On a Numerical Continued ...
Page 3
... Algebra . But as this theorem is no longer included in elementary treatises , we shall here place Lagrange's demonstration of it . i If 4 is the complete quotient of order i NOTE ON CONTINUED FRACTIONS . 7 NOTICE TO SUBSCRIBER.
... Algebra . But as this theorem is no longer included in elementary treatises , we shall here place Lagrange's demonstration of it . i If 4 is the complete quotient of order i NOTE ON CONTINUED FRACTIONS . 7 NOTICE TO SUBSCRIBER.
Page 22
... algebraic polynomial of degree - 1 . It is in fact the differential coefficient of an Laplacian in μ . Having thus determined v , the equation of equilibrium becomes 4rak dZ 3 αμ or α 0 π 2π - a k 2π dZ ' 15 . 0 dz αμ - αμ ' dz ' αμ th ...
... algebraic polynomial of degree - 1 . It is in fact the differential coefficient of an Laplacian in μ . Having thus determined v , the equation of equilibrium becomes 4rak dZ 3 αμ or α 0 π 2π - a k 2π dZ ' 15 . 0 dz αμ - αμ ' dz ' αμ th ...
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... algebraic curves . The theorem just referred to , that the system of algebraic curves U = 0 has always an envelope , is an interesting theorem , which I proceed to prove . Assume that in general , that is , for an arbitrary value of the ...
... algebraic curves . The theorem just referred to , that the system of algebraic curves U = 0 has always an envelope , is an interesting theorem , which I proceed to prove . Assume that in general , that is , for an arbitrary value of the ...
Page 24
... algebraic curve we have m + n = m2 - 28-3K , viz . the number m2 - 28-3 cannot be = 0 , and we have therefore always an envelope the locus of the system of the m2 - 28-3 points . It might be thought that the conclusion extends to ...
... algebraic curve we have m + n = m2 - 28-3K , viz . the number m2 - 28-3 cannot be = 0 , and we have therefore always an envelope the locus of the system of the m2 - 28-3 points . It might be thought that the conclusion extends to ...
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a₁ Algebra ALLEN WHITWORTH angle axis B₁ calculation CAMBRIDGE centre circle cloth conics continued fraction cose Crown 8vo cube root curve cylinder denote determine dx dx dx dy dy dz Edition ÉDOUARD LUCAS Elliptic Functions equal expression FELLOW OF ST formula fourth number geometrical given whenever sufficient H. J. S. Smith harmonic Hence infinite integral J. W. L. GLAISHER JOHN'S COLLEGE Laplace's MESSENGER OF MATHEMATICS Metcalfe Metcalfe and Son method motion obtained parallel partial differential equation PENDLEBURY plane plate Price-One Shilling prime Prof Professor Cayley radius respectively result ruled surfaces satisfied sequence sewed solution sphere spherical Spherical Harmonics square sufficient diagrams suppose surface tangent theorem Theory Treatise triangle variable vols whence zero
Popular passages
Page 145 - Aperçu historique sur l'origine et le développement des méthodes en Géométrie, particulièrement de celles qui se rapportent à la Géométrie moderne, suivi d'un Mémoire de Géométrie sur deux principes généraux de la Science, la Dualité et l'Homographie.
Page 151 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Page 143 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 152 - A Treatise of Fluxions ; or, an Introduction to Mathematical Philosophy. Containing A full Explication of that Method by which the Most Celebrated Geometers of the present Age have made such vast Advances in Mechanical Philosophy. A Work very Useful for those that would know how to apply Mathematicks to Nature. By Charles Hayes, Gent.
Page 112 - Coll (communicated by Prof. Crofton, FRS) entitled "The Calculus of Equivalent Statements." A short account of this analytical method has been given in the July and November numbers (1877) of the Educational Times, under the name of Symbolical Language. The chief use at present made of it is to determine the new limits of integration •when we change the order of integration or the variables in a multiple integral, and also to determine the limits of integration in questions relating to probability.
Page 149 - Ferrers. — AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.
Page 112 - IT has often been remarked that, when a group of waves advances into still water, the velocity of the group is less than that of the individual waves of which it is composed ; the waves appear to advance through the group, dying away as they approach its anterior limit.
Page 152 - Rara Mathematica ; or a Collection of Treatises on the Mathematics and Subjects connected with them, from ancient inedited MSS. by JO HALLIWELL, 8vo.
Page 160 - The History of the Heavens, considered according to the notions of the Poets and Philosophers, compared with the Doctrines of Moses.
Page 160 - A letter to the Board of Visitors of the Greenwich Royal Observatory in reply to the calumnies of Mr. Babbage at their meeting in June 1853, and in his book entitled The Exposition of 1851.