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 33
... r sina . ( cose cosa - x cota - or y y = = x cota = - 9 9 272 ( r cose ) 2 2√2 sinė sina ) = ( cose ) 2 9 2 V2 sin2a 2 9 9 2√2 x2 ນ ໍ້ າ 2 V2 sin'a the equation to the path of a particle projected with 9-12 . ] PROBLEMS . 33.
... r sina . ( cose cosa - x cota - or y y = = x cota = - 9 9 272 ( r cose ) 2 2√2 sinė sina ) = ( cose ) 2 9 2 V2 sin2a 2 9 9 2√2 x2 ນ ໍ້ າ 2 V2 sin'a the equation to the path of a particle projected with 9-12 . ] PROBLEMS . 33.
Página 38
... sin2a.cote - sin 2a ' . cote ' cos 2a cos 2a ' - By spherical trigonometry we have cot a .sina cota ' . sine = sinλ ... sin2a ' . cote ' cos 2a ― cos 2a ' 20. A thin hollow ring , of which the plane 38 [ Jan. 17 , SENATE - HOUSE PROBLEMS ...
... sin2a.cote - sin 2a ' . cote ' cos 2a cos 2a ' - By spherical trigonometry we have cot a .sina cota ' . sine = sinλ ... sin2a ' . cote ' cos 2a ― cos 2a ' 20. A thin hollow ring , of which the plane 38 [ Jan. 17 , SENATE - HOUSE PROBLEMS ...
Página 68
... sin 2a ) z + h2 cot2 a - = 0 ... ( 1 ) : and , differentiating with respect to h , in order to find the maximum value of z , { z- ( h cota cos 2a + c sin2a ) } therefore dz - cota cos2a.z + h cot2 a 0 = dh ...... ( 2 ) , dz = 0 , if z ...
... sin 2a ) z + h2 cot2 a - = 0 ... ( 1 ) : and , differentiating with respect to h , in order to find the maximum value of z , { z- ( h cota cos 2a + c sin2a ) } therefore dz - cota cos2a.z + h cot2 a 0 = dh ...... ( 2 ) , dz = 0 , if z ...
Página 81
... sin 2 a + B 2 + cos2 a result which establishes the proposition . a + ß 2 4. Tangents PP ' , PP " , are drawn from a point P to touch the ellipse y2 + = b2 1 , at points P ' , P " . Supposing the harmonic mean between the abscissæ of ...
... sin 2 a + B 2 + cos2 a result which establishes the proposition . a + ß 2 4. Tangents PP ' , PP " , are drawn from a point P to touch the ellipse y2 + = b2 1 , at points P ' , P " . Supposing the harmonic mean between the abscissæ of ...
Página 107
... β = COS = COS α + β 2 COS 0 — 2 0 $ sin sin 2 · sin ( 0 + a ) $ - 2 COS θ + Φ 2 sin ( 0+ a ) 2 sin 2 a + B 2 a + B + 0 ) - sin ( 0+ a ) sin α + β 2 This is a positive quantity , because Va + B 9-12 . ] 107 PROBLEMS .
... β = COS = COS α + β 2 COS 0 — 2 0 $ sin sin 2 · sin ( 0 + a ) $ - 2 COS θ + Φ 2 sin ( 0+ a ) 2 sin 2 a + B 2 a + B + 0 ) - sin ( 0+ a ) sin α + β 2 This is a positive quantity , because Va + B 9-12 . ] 107 PROBLEMS .
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
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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.
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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 |