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 2
... touching the fixed circle at P and Q. Prove that the two circles so described will inter- sect on another fixed circle . If C ( fig . 3 ) be the centre of the fixed circle and OM , ON be drawn parallel to CQ and CP , forming the ...
... touching the fixed circle at P and Q. Prove that the two circles so described will inter- sect on another fixed circle . If C ( fig . 3 ) be the centre of the fixed circle and OM , ON be drawn parallel to CQ and CP , forming the ...
Página 6
... touch the parabolas . 11. The tangents to a conic section drawn from a point subtend equal angles at either focus . If PP ' be a chord of a conic parallel to the transverse axis and the two circles be drawn through a focus S touching ...
... touch the parabolas . 11. The tangents to a conic section drawn from a point subtend equal angles at either focus . If PP ' be a chord of a conic parallel to the transverse axis and the two circles be drawn through a focus S touching ...
Página 7
... touching PT at P passes through F. Similarly the circle described on SP ' touching P'T at P ' passes through F. Also if FM , FN be drawn perpendicular to the transverse and conjugate axes to meet them in M , N respectively , CT.CN = CB ...
... touching PT at P passes through F. Similarly the circle described on SP ' touching P'T at P ' passes through F. Also if FM , FN be drawn perpendicular to the transverse and conjugate axes to meet them in M , N respectively , CT.CN = CB ...
Página 22
... touch at their middle points the chord and arc of oscillation of a particle which is moving on a vertical circle under the action of gravity . Prove that a point on the first circle in the same horizontal line with the α Ꮎ particle ...
... touch at their middle points the chord and arc of oscillation of a particle which is moving on a vertical circle under the action of gravity . Prove that a point on the first circle in the same horizontal line with the α Ꮎ particle ...
Página 27
... touch a similar ellipse , and the centres of inertia of the segments cut off by the lines of floatation will also lie on a similar ellipse , the tangent to which at any point will be parallel to the corresponding line of floatation . If ...
... touch a similar ellipse , and the centres of inertia of the segments cut off by the lines of floatation will also lie on a similar ellipse , the tangent to which at any point will be parallel to the corresponding line of floatation . If ...
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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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