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 16
... represented , three by the sides of a triangle taken in order , and three by the sides of the triangle formed by joining the middle points of the sides of the original triangle , prove that they will be in equilibrium if the parallel ...
... represented , three by the sides of a triangle taken in order , and three by the sides of the triangle formed by joining the middle points of the sides of the original triangle , prove that they will be in equilibrium if the parallel ...
Página 17
... represented . Each set of three forces will be equivalent to a couple , and the two couples will balance . 3. If a system of parallel forces act at given points in a plane , find the distance of the centre of the system from a given ...
... represented . Each set of three forces will be equivalent to a couple , and the two couples will balance . 3. If a system of parallel forces act at given points in a plane , find the distance of the centre of the system from a given ...
Página 46
... represents the velocity generated by the blow , and therefore QR LR , and QR is parallel to LS . The blow is therefore towards the centre of force and the latus - rectum is unaltered in magnitude . Hence SL being a radius vector of the ...
... represents the velocity generated by the blow , and therefore QR LR , and QR is parallel to LS . The blow is therefore towards the centre of force and the latus - rectum is unaltered in magnitude . Hence SL being a radius vector of the ...
Página 77
... represents the velocity of the particles which at rest were at distance OP from the initial plane x = 0 ; then dilatation . PV a represents the After a time dt , taking PP'adt , the increment 11-4 ] 77 AND RIDERS .
... represents the velocity of the particles which at rest were at distance OP from the initial plane x = 0 ; then dilatation . PV a represents the After a time dt , taking PP'adt , the increment 11-4 ] 77 AND RIDERS .
Página 78
... represented by P'V ' , and therefore the motion will be represented by sliding the curve OVL with velocity a in the positive direction . Therefore the initial state of motion in which u -as1 gives rise to a wave propagated without ...
... represented by P'V ' , and therefore the motion will be represented by sliding the curve OVL with velocity a in the positive direction . Therefore the initial state of motion in which u -as1 gives rise to a wave propagated without ...
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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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