The Messenger of Mathematics, Volumes 6-7Macmillan and Company, 1877 - Mathematics |
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Page 10
... axes in a plane we construct a system of unit points ( i .. a system of points of which the coordinates are integral numbers ) , and draw the line y = 0x , we learn from that theorem that if ( x , y ) be an unit point lying nearer to ...
... axes in a plane we construct a system of unit points ( i .. a system of points of which the coordinates are integral numbers ) , and draw the line y = 0x , we learn from that theorem that if ( x , y ) be an unit point lying nearer to ...
Page 81
... once without any difficulty , and it answers to the optical construction , according to which if UPV represents the path of a ray through a convex lens VOL . VI . G AP , then the thin pencil axis U'P and centre MATHEMATICAL NOTES . 81.
... once without any difficulty , and it answers to the optical construction , according to which if UPV represents the path of a ray through a convex lens VOL . VI . G AP , then the thin pencil axis U'P and centre MATHEMATICAL NOTES . 81.
Page 82
AP , then the thin pencil axis U'P and centre U ' converges after refraction to the point V ' , where U'V ' are in linea with A the centre of the lens ; considering as usual the inclina- tions to the axis as small , we have ...
AP , then the thin pencil axis U'P and centre U ' converges after refraction to the point V ' , where U'V ' are in linea with A the centre of the lens ; considering as usual the inclina- tions to the axis as small , we have ...
Page 98
... axis of the couple is a tangent to the line in question . Also P tends to move from places of higher to places of lower potential . Hence , taking the ordinary con- vention , when P is at any point the axis of the couple must be ...
... axis of the couple is a tangent to the line in question . Also P tends to move from places of higher to places of lower potential . Hence , taking the ordinary con- vention , when P is at any point the axis of the couple must be ...
Page 113
... axis is given in direction is lp + mq − n = 0 ....... ( 1 ) . Thus the coordinates of every cylinder satisfy the equations d3z a : B = B : y = y : d = r : s = s ; t ... ( 2 ) , where a = & c . ) , for the common value of these ratios ...
... axis is given in direction is lp + mq − n = 0 ....... ( 1 ) . Thus the coordinates of every cylinder satisfy the equations d3z a : B = B : y = y : d = r : s = s ; t ... ( 2 ) , where a = & c . ) , for the common value of these ratios ...
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a₁ Algebra ALLEN WHITWORTH angle axis B₁ calculation Camb CAMBRIDGE centre circle cloth Conic continued fraction corresponding cose Crown 8vo cube root curve cylinder denote determinant dx dx dx dy Edition ÉDOUARD LUCAS Elliptic Functions expression FELLOW OF ST formula fraction geometrical H. J. S. Smith half calf harmonic Hence infinite integral J. W. L. Glaisher JOHN'S COLLEGE Laplace's MESSENGER OF MATHEMATICS Metcalfe Metcalfe and Son method motion obtained paper parallel Paris partial differential equation plane plate prime Prof Professor Cayley radius respectively result ruled surfaces satisfied sequence sewed solution sphere spherical Spherical Harmonics square suppose surface tangent theorem Theory tion Treatise triangle variable vols whence zero аф
Popular passages
Page 155 - 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 160 - 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 149 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 160 - 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 118 - 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 159 - 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 118 - 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 160 - 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.