Solutions of the Problems and Riders Proposed in the Senate-house Examination for 1854Macmillan, 1854 - 225 páginas This Elibron Classics title is a reprint of the original edition published by Macmillan and Co. in Cambridge, 1854. |
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Página 14
... cone is totally immersed in a fluid , the depth of the centre of its base being given . Prove that , P , P ' , P ... cone , the base included ; P = the resultant pressure on the convex surface , when the axis is inclined at an angle a to ...
... cone is totally immersed in a fluid , the depth of the centre of its base being given . Prove that , P , P ' , P ... cone , the base included ; P = the resultant pressure on the convex surface , when the axis is inclined at an angle a to ...
Página 96
... cone , while the two straight lines envelope an ellipse . Let the hyperboloid be denoted by x2 y2 + a2 b2 - = 1 c2 ( 1 ) . Let the equation to a centric section be z = mx + ny At the intersection of ( 1 ) and ( 2 ) , x2 ( m2 ) a . ( 2 ) ...
... cone , while the two straight lines envelope an ellipse . Let the hyperboloid be denoted by x2 y2 + a2 b2 - = 1 c2 ( 1 ) . Let the equation to a centric section be z = mx + ny At the intersection of ( 1 ) and ( 2 ) , x2 ( m2 ) a . ( 2 ) ...
Página 97
... cone , a * b29 and the envelop of ( 6 ) , under the same condition , by a2x22 b2y " + ( a2 + c2 ) 2 + ( b2 + c2 ) 2 = 1 , an ellipse . 16. Prove that the envelope of a sphere , of which any one of one series of circular sections of an ...
... cone , a * b29 and the envelop of ( 6 ) , under the same condition , by a2x22 b2y " + ( a2 + c2 ) 2 + ( b2 + c2 ) 2 = 1 , an ellipse . 16. Prove that the envelope of a sphere , of which any one of one series of circular sections of an ...
Página 149
... cones , whose vertices are A , B , and bases BC , AC respectively : shew that they have a common tangent plane , and a common parabolic section , the plane of the parabola and the tangent plane intersecting the ellipsoid in ellipses the ...
... cones , whose vertices are A , B , and bases BC , AC respectively : shew that they have a common tangent plane , and a common parabolic section , the plane of the parabola and the tangent plane intersecting the ellipsoid in ellipses the ...
Página 150
... cone , vertex A , is y * z2 ( x − a ) * b2 + = a2 Similarly , the equation of the cone , vertex B , is x2 a z * ( y - b ) * + = c2 These surfaces intersect where ” | " a2 therefore , where or where - y2 b2 = - - ( x - a ) y b2 + 2 ...
... cone , vertex A , is y * z2 ( x − a ) * b2 + = a2 Similarly , the equation of the cone , vertex B , is x2 a z * ( y - b ) * + = c2 These surfaces intersect where ” | " a2 therefore , where or where - y2 b2 = - - ( x - a ) y b2 + 2 ...
Outras edições - Ver tudo
Solutions of the Problems and Riders Proposed in the Senate-House ... William Walton,Charles Frederick MacKenzie Pré-visualização indisponível - 2016 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie Pré-visualização indisponível - 2018 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie Pré-visualização indisponível - 2015 |
Palavras e frases frequentes
angular velocity asymptotes axes Cambridge catenary centre of force centre of gravity chord circle circular cloth College conic section constant coordinates cos² cose cosẞ cota cotß Crown 8vo curvature curve cylinder denoting described diameter distance dx dy dy dx ecliptic ellipse equal equation equilibrium Fcap fixed point fluid geometrical progression given Hence horizontal hyperbola inclined intersection lamina latus rectum length locus longitude major axis middle point motion orbit parabola parallel particle passing perpendicular plane plate position pressure prove radius refraction right angles ring Second Edition shew sides Similarly sine sino sinẞ straight line string Supposing surface tana tangent tanß triangle Trinity College tube University of Cambridge vertical
Passagens conhecidas
Página 5 - Christ and other Masters. A Historical Inquiry into some of the Chief Parallelisms and Contrasts between Christianity and the Religious Systems of the Ancient World.
Página 15 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Página 12 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Página 4 - 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.
Página 6 - Crown 8vo. 7s. 6d. HOWARD. — The Pentateuch ; Or, the Five Books of Moses. Translated into English from the Version of the LXX. With Notes on its Omissions and Insertions, and also on the Passages in which it differs from the Authorized Version. By the Hon. HENRY HOWARD, DD Crown 8vo. GENESIS, One Volume, 8s. 6d. ; EXODUS AND LEVITICUS, One Volume, 10s. 6d. ; NUMBERS AND DEUTERONOMY, One Volume, 10s. 6d. HOZIER. — The Seven Weeks' War ; Its Antecedents and its Incidents.
Página 8 - M'COY.— Contributions to British Palaeontology; or, First Descriptions of several hundred Fossil Radiata, Articulata, Mollusca, and Pisces, from the Tertiary, Cretaceous, Oolitic, and Palaeozoic Strata of Great Britain. With numerous Woodcuts. 8vo. cloth, 9s. *#* This forms a complete Series of the Author's Papers from the
Página 15 - The fitness of Holy Scripture for Unfolding the Spiritual Life of Man : Christ the Desire of all Nations ; or, the Unconscious Prophecies of Heathendom.
Página 2 - Archer).— Works by the Rev. WILLIAM ARCHER BUTLER, MA, late Professor of Moral Philosophy in the University of Dublin : SERMONS, DOCTRINAL AND PRACTICAL. Edited, with a Memoir of the Author's Life, by THOMAS WOODWARD, Dean of Down.
Página 9 - This volume contains Discourses on Samuel I. and II. ; Kings I. and II. ; Amos, Joel, Hosea, Isaiah, Micah, Nahum, Habakkuk, Jeremiah, and Ezekiel.
Página 16 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Referências a este livro
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick Pré-visualização limitada - 2003 |
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick Pré-visualização indisponível - 2003 |