Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill Macmillan and Company, 1876 - 236 páginas |
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Página 27
... normals can be drawn according as the centre of inertia lies outside or inside the evolute of this ellipse . The points of contact of the normals with the evolute will be the metacentres , and when a normal is vertical the equi- librium ...
... normals can be drawn according as the centre of inertia lies outside or inside the evolute of this ellipse . The points of contact of the normals with the evolute will be the metacentres , and when a normal is vertical the equi- librium ...
Página 51
... normal at Q is an ordinate of the diameter PP ' , and therefore bisects the angle PQP ' . Therefore PQ + QP ' = 2CY , and therefore the locus of Q is an ellipse with foci P , P ' , and all the orbits will touch this ellipse . Compare ...
... normal at Q is an ordinate of the diameter PP ' , and therefore bisects the angle PQP ' . Therefore PQ + QP ' = 2CY , and therefore the locus of Q is an ellipse with foci P , P ' , and all the orbits will touch this ellipse . Compare ...
Página 52
... normal at P ( fig . 42 ) meet the apse line in G , and let GL be drawn perpendicular to SP . The radial velocity being unaltered by the impulse , if PHg be the new normal and GH be drawn parallel to PĹ to meet PHg in H , then GH PL T T ...
... normal at P ( fig . 42 ) meet the apse line in G , and let GL be drawn perpendicular to SP . The radial velocity being unaltered by the impulse , if PHg be the new normal and GH be drawn parallel to PĹ to meet PHg in H , then GH PL T T ...
Página 74
... normal to the surface - element ds . Shew that this equation expresses that no points come into or go out of existence during the motion . Does it matter whether S is simply - connected or no ? Give your reasons . " • If x , y , z ' be ...
... normal to the surface - element ds . Shew that this equation expresses that no points come into or go out of existence during the motion . Does it matter whether S is simply - connected or no ? Give your reasons . " • If x , y , z ' be ...
Página 85
... normal . If a curve be described under a force P tending to the pole and a normal force N , prove that d p2 2 Nr dr d 3 dr • 2 ( N 4 ) + % ( 1 ) = 0 . dr Resolving along the normal N + PP resolving along the tangent pdr ds 1 dv2 ...
... normal . If a curve be described under a force P tending to the pole and a normal force N , prove that d p2 2 Nr dr d 3 dr • 2 ( N 4 ) + % ( 1 ) = 0 . dr Resolving along the normal N + PP resolving along the tangent pdr ds 1 dv2 ...
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Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill Sin vista previa disponible - 2016 |
Términos y frases comunes
apse line Arabic numbers axes axis Cambridge centre of inertia circle coefficient conic section coordinates cos² cose cosec Crown 8vo curvature curve density diameter differential equation distance dx dy dz dx² Edition electricity ELEMENTARY TREATISE ellipse ellipsoid equal equations of motion equilibrium Extra fcap Fellow of St fixed fluid force given GREEK harmonic Hence hyperbola hypocycloid integral intersect J. P. MAHAFFY John's College late Fellow LATIN length lines of curvature liquid lunar precession magnets middle points normal numerous Illustrations orbit Owens College parabola parallel particle perpendicular plane polar pressure prism Professor prove radius ratio refracting right angles Roman numbers School shew sin sin sin sin² sphere straight line surface tangent triangle ABC Trinity College velocity vertical
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