Mathematical and Physical Papers, Volume 1University Press, 1880 - Hydrodynamics |
From inside the book
Results 1-5 of 65
Page x
... obtaining the developments of the derived functions . SECTION II . - Mode of ascertaining the nature of the discontinuity of the integrals which are analogous to the series considered in Section I. , and of obtaining the developments of ...
... obtaining the developments of the derived functions . SECTION II . - Mode of ascertaining the nature of the discontinuity of the integrals which are analogous to the series considered in Section I. , and of obtaining the developments of ...
Page 1
... ( 1 ) , where dV = Xdx + Ydy + Zdz , which I suppose an exact differ- ential . Now from the way in which this equation is obtained , 7 it appears that C need only be constant for the S. 1 On the Steady Motion of Incompressible Fluids.
... ( 1 ) , where dV = Xdx + Ydy + Zdz , which I suppose an exact differ- ential . Now from the way in which this equation is obtained , 7 it appears that C need only be constant for the S. 1 On the Steady Motion of Incompressible Fluids.
Page 8
... obtain an infinity of examples in which the conditions of the problem are satisfied , any one of the lines of motion being taken as the boundary of the fluid . Thus for Ukr3 cos 30 we have for the lines of motion or -wr2 + kr3 cos 30 C ...
... obtain an infinity of examples in which the conditions of the problem are satisfied , any one of the lines of motion being taken as the boundary of the fluid . Thus for Ukr3 cos 30 we have for the lines of motion or -wr2 + kr3 cos 30 C ...
Page 18
... obtaining the solutions . As the problem to be solved is usually stated at the head of each article , I shall here only mention some of the results . As a parti- cular case of the problem given in Art . 8 , I find that , when a cylinder ...
... obtaining the solutions . As the problem to be solved is usually stated at the head of each article , I shall here only mention some of the results . As a parti- cular case of the problem given in Art . 8 , I find that , when a cylinder ...
Page 23
... of p or q , obtained by integrating equations ( 4 ) or ( F ) , shall not alter abruptly from one point of the fluid to another . · ( d ) . An example will make this clearer . Suppose a mass ON SOME CASES OF FLUID MOTION . 23.
... of p or q , obtained by integrating equations ( 4 ) or ( F ) , shall not alter abruptly from one point of the fluid to another . · ( d ) . An example will make this clearer . Suppose a mass ON SOME CASES OF FLUID MOTION . 23.
Other editions - View all
Common terms and phrases
according angle apply approximation arbitrary axes axis become infinite Cambridge Philosophical Society canal centre co-ordinates condition Consequently considered constant convergent series corresponding cosines cylinder Demy Octavo denote depth determined direction discontinuous divergent series dx dy elastic equal equation essentially convergent ether exact differential expansion expression finite force formula friction function given h vanishes Hence homogeneous function horizontal increases inertia integral length limit molecules moment of inertia observed obtained Octavo order of approximation oscillation oscillatory waves paper parallel parallelepiped particles perpendicular plane Poisson positive pressure quantities ratio rectangular refracting respect result satisfied shew shewn sines solid solitary wave sphere St John's College suppose surface tangential theorem theory tion variables velocity of propagation wave motion whence zero ηπα аф
Popular passages
Page 4 - The Missing Fragment of the Latin Translation of the Fourth Book of Ezra, discovered, and edited with an Introduction and Notes, and a facsimile of the MS., by ROBERT L. BENSLY, MA, Sub-Librarian of the University Library, and Reader in Hebrew, Gonville and Caius College, Cambridge.
Page 9 - NALOPAKHYANAM, OR, THE TALE OF NALA ; containing the Sanskrit Text in Roman Characters, followed by a Vocabulary in which each word is placed under its root, with references to derived words in Cognate Languages, and a sketch of Sanskrit Grammar. By the Rev. THOMAS JARRETT, MA Trinity College, Regius Professor of Hebrew, late Professor of Arabic, and formerly Fellow of St Catharine's College, Cambridge.
Page 4 - The Pointed Prayer Book, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches.
Page 12 - The Electrical Researches of the Honourable Henry Cavendish, FRS Written between 1771 and 1781, Edited from the original manuscripts in the possession of the Duke of Devonshire, KG, by J. CLERK MAXWELL, FRS Demy 8vo. cloth, iSs. Hydrodynamics, a Treatise on the Mathematical Theory of Fluid Motion, by HORACE LAMB, MA, Professor of Mathematics in the University of Adelaide.
Page 6 - M. Minucii Felicis Octavius. The text newly revised from the original MS. with an English Commentary, Analysis, Introduction, and Copious Indices. Edited by HA HOLDEN, LL.D.. Head Master of Ipswich School, late Fellow of Trinity College, Cambridge, Classical Examiner to the University of London. Crown Octavo. 7^. 6d. Theophili Episcopi Antiochensis Libri Tres ad Autolycum. Edidit, Prolegomenis Versione Notulis Indicibus instruxit GuLIELMUs GILsON HUMPHRY, STB Collegii Sanctiss.
Page 12 - MT Ciceronis de Natura Deorum Libri Tres, with Introduction and Commentary by JOSEPH B. MAYOR, MA, Professor of Moral Philosophy at King's College, London, together with a new collation of several of the English MSS.
Page 14 - A CATALOGUE OF THE COLLECTION OF CAMBRIAN AND SILURIAN FOSSILS contained in the Geological Museum of the University of Cambridge, by JW SALTER, FGS With a Portrait of PROFESSOR SEDGWICK.
Page 12 - Mathematical and Physical Papers. By Sir W. THOMSON, LL.D., DCL, FRS, Professor of Natural Philosophy, in the University of Glasgow. Collected from different Scientific Periodicals from May, 1841, to the present time.
Page 8 - The Poems of Beha ed din Zoheir of Egypt. With a Metrical Translation, Notes and Introduction, by EH PALMER, MA, late Lord Almoner's Professor of Arabic in the University of Cambridge. 3 vols. Crown Quarto. Vol. II. The ENGLISH TRANSLATION.
Page 31 - This edition of a play that is well worth study, for more reasons than one, by so careful a scholar as Mr Skeat, deserves a hearty welcome.