A Treatise on the Mathematical Theory of the Motion of FluidsThe University Press, 1879 - 258 pagina's |
Vanuit het boek
Resultaten 1-5 van 36
Pagina 2
... , PC mutually at right angles , and let a plane whose direction - cosines relatively to these lines are l , m , n , passing infinitely close to P , meet them in A , B , C. * Let p , P1 , P2 , P , 2 [ CHAP . I. THE EQUATIONS OF MOTION .
... , PC mutually at right angles , and let a plane whose direction - cosines relatively to these lines are l , m , n , passing infinitely close to P , meet them in A , B , C. * Let p , P1 , P2 , P , 2 [ CHAP . I. THE EQUATIONS OF MOTION .
Pagina 40
... angle subtended at the centre by an element dS of the surface , we have do do dn dr == and dS = r2da . Omitting the constant factor r2 , ( 11 ) becomes or do da = 0 , dr d dr [ ] φάσ = 0 ....... 1 4.π Since Jøda , 1 or 4.777.2 .. ( 12 ) ...
... angle subtended at the centre by an element dS of the surface , we have do do dn dr == and dS = r2da . Omitting the constant factor r2 , ( 11 ) becomes or do da = 0 , dr d dr [ ] φάσ = 0 ....... 1 4.π Since Jøda , 1 or 4.777.2 .. ( 12 ) ...
Pagina 46
... angle which Σ subtends at it is infinitely small ; and with P as centre describe two spheres , one just excluding , the other just including S. We shall prove that the mean value of over each of these spheres is , within an infinitely ...
... angle which Σ subtends at it is infinitely small ; and with P as centre describe two spheres , one just excluding , the other just including S. We shall prove that the mean value of over each of these spheres is , within an infinitely ...
Pagina 71
... angles , as we have already proved . See Art . 27. Since the rela- tions ( 11 ) are unaltered when we write for 4 , and 6 for y , we may , if we choose , look upon the curves const . as the equi- potential curves , and the curves const ...
... angles , as we have already proved . See Art . 27. Since the rela- tions ( 11 ) are unaltered when we write for 4 , and 6 for y , we may , if we choose , look upon the curves const . as the equi- potential curves , and the curves const ...
Pagina 73
... angle 0 , where b r = √ ( a2 + b2 ) , and 0 is the least positive value of arc tan With respect to the expression a + ib , r is called the ' modulus , ' and the ' amplitude . ' The meanings of subtraction and division of vectors follow ...
... angle 0 , where b r = √ ( a2 + b2 ) , and 0 is the least positive value of arc tan With respect to the expression a + ib , r is called the ' modulus , ' and the ' amplitude . ' The meanings of subtraction and division of vectors follow ...
Overige edities - Alles bekijken
A Treatise on the Mathematical Theory of the Motion of Fluids Sir Horace Lamb Volledige weergave - 1879 |
A Treatise on the Mathematical Theory of the Motion of Fluids Sir Horace Lamb Volledige weergave - 1879 |
A Treatise on the Mathematical Theory of the Motion of Fluids Sir Horace Lamb Volledige weergave - 1879 |
Veelvoorkomende woorden en zinsdelen
angle angular velocity Ave Maria Lane axes axis C. J. CLAY Cambridge University Press centre Christ's College circle circuit CLAY & SONS co-ordinates constant corresponding Crown 8vo curves const cyclic Demy 8vo denote direction dt dt dx dx dx dy dz dy dy Edited element equation of continuity Fellow finite fluid forces formulæ given Green's Theorem Hence impulse infinitely small infinity integral internal boundary irrotational irrotational motion J. E. SANDYS liquid LL.D mass moving Notes obtain origin P. G. TAIT P₁ parallel particle plane xy portion pressure Professor quantities radius RENDEL HARRIS satisfied shews simply-connected solid sphere St John's College stream-lines surface theorem Thomson Trinity College University of Cambridge University Press Warehouse velocity-potential vertical vortex waves zero аф
Populaire passages
Pagina 7 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Pagina 4 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIVENER.
Pagina 15 - Pindar. Olympian and Pythian Odes. With Notes Explanatory and Critical, Introductions and Introductory Essays. Edited by CAM FENNELL, MA, late Fellow of Jesus College. Crown 8vo. cloth. gs. The Isthmian and Nemean Odes by the same Editor. 9*.
Pagina 20 - A Treatise on the Theory of Determinants and their Applications in Analysis and Geometry. By ROBERT FORSYTH SCOTT, MA, Fellow of St John's College. Demy 8vo.
Pagina 6 - SCRIPTURES, &c. The Cambridge Paragraph Bible of the Authorized English Version, with the Text revised by a Collation of its Early and other Principal Editions...
Pagina 32 - Vols. Super Royal 8vo. £6. 6s. Also a limited Edition of the same, consisting of 120 numbered Copies only, large paper Quarto ; the woodcuts and steel engravings mounted on India paper ; price Twenty-five Guineas net each set.
Pagina 5 - 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.
Pagina 8 - 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.
Pagina 12 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled...