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 18
... vertical . When W the greater weight ( fig . 15 ) is raised , the force that must be applied either downwards on the ... vertical side of the tumbler . If a and B are the greatest and least angles which the rod can make with the vertical ...
... vertical . When W the greater weight ( fig . 15 ) is raised , the force that must be applied either downwards on the ... vertical side of the tumbler . If a and B are the greatest and least angles which the rod can make with the vertical ...
Página 19
... vertical through G the middle point of the rod . Therefore a sinß = AE = AD cos = AC = b cos ' o sin 8 sin ( B + 20 ) sin ( 17+ ) cos sin ( π - B - 20 ) Similarly a sina = b cos2 sina sin ( α - 24 ) ; therefore sin'a sin ( a - 24 ) ...
... vertical through G the middle point of the rod . Therefore a sinß = AE = AD cos = AC = b cos ' o sin 8 sin ( B + 20 ) sin ( 17+ ) cos sin ( π - B - 20 ) Similarly a sina = b cos2 sina sin ( α - 24 ) ; therefore sin'a sin ( a - 24 ) ...
Página 20
... one quarter of the latus- rectum of the original path of the first bullet . Refer the motion to two fixed directions , one vertical , the other that of the line which initially joins the two 20 [ Jan. 5 , SENATE - HOUSE PROBLEMS.
... one quarter of the latus- rectum of the original path of the first bullet . Refer the motion to two fixed directions , one vertical , the other that of the line which initially joins the two 20 [ Jan. 5 , SENATE - HOUSE PROBLEMS.
Página 21
... vertical line they are also at the same point , having both been drawn down through the same space from the line which initially joined them . Secondly , the latus rectum of the path of a projectile varies as the square of the ...
... vertical line they are also at the same point , having both been drawn down through the same space from the line which initially joined them . Secondly , the latus rectum of the path of a projectile varies as the square of the ...
Página 22
... vertical at the instant when it is stationary and at the instant considered . Let be the radius of the arc ACB of the vertical circle over which the particle oscillates ( fig . 17 ) ; p the radius of the circle which touches the chord ...
... vertical at the instant when it is stationary and at the instant considered . Let be the radius of the arc ACB of the vertical circle over which the particle oscillates ( fig . 17 ) ; p the radius of the circle which touches the chord ...
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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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