Cambridge Senate-house Problems and Riders for the Year 1860: With SolutionsMacmillan, 1860 - 198 páginas |
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Página 10
... heavy particles are situated at the extremi- ties of the latus rectum of a parabolic arc without weight , which is placed with its vertex in contact with that of an equal parabola , whose axis is vertical and concavity down- wards ...
... heavy particles are situated at the extremi- ties of the latus rectum of a parabolic arc without weight , which is placed with its vertex in contact with that of an equal parabola , whose axis is vertical and concavity down- wards ...
Página 11
... heavy rod , having one extremity attached to a fixed point , about which it is free to move in all direc- tions , passes over the circumference of a rough ring whose centre is at the fixed point and whose plane is 9-12 . ] 11 AND RIDERS .
... heavy rod , having one extremity attached to a fixed point , about which it is free to move in all direc- tions , passes over the circumference of a rough ring whose centre is at the fixed point and whose plane is 9-12 . ] 11 AND RIDERS .
Página 12
... heavy particle ; and give its numerical measure , taking a minute as the unit of time , and a mile as that of space . Let a be the numerical measure of the acceleration of the point , taking a foot as the unit of space , and half - a ...
... heavy particle ; and give its numerical measure , taking a minute as the unit of time , and a mile as that of space . Let a be the numerical measure of the acceleration of the point , taking a foot as the unit of space , and half - a ...
Página 13
... heavy particle slides down a smooth inclined plane of given height ; prove that the time of its descent varies as the secant of the inclination of the plane to the vertical . Let h be the height of the plane , a its inclination to the ...
... heavy particle slides down a smooth inclined plane of given height ; prove that the time of its descent varies as the secant of the inclination of the plane to the vertical . Let h be the height of the plane , a its inclination to the ...
Página 14
With Solutions Henry William Watson, Edward John Routh. x . A heavy particle is projected from a given point with a given velocity , so as to pass through another given point ; prove that , in general , there will be two parabolic paths ...
With Solutions Henry William Watson, Edward John Routh. x . A heavy particle is projected from a given point with a given velocity , so as to pass through another given point ; prove that , in general , there will be two parabolic paths ...
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Términos y frases comunes
acceleration angular velocity Arabic numbers asymptotes attraction axes axis bisects Cambridge centre of force centre of gravity chord circle circular cloth co-ordinates cone conic conic section constant cos² Crown 8vo curvature cylinder described diameter differential equation direction directrix distance drawn dt dt ellipse ellipsoid equal angles equiangular spiral equilibrium extremity Fcap fixed point fluid foci focus given point Hence horizontal hyperbola inclined intersection latus rectum length locus MACMILLAN & CO.'S meridian motion normal parabola parallel particle perpendicular point of contact position pressure prove ratio respectively right angles Roman numbers SENIOR MODERATOR shew sides sin² singular solution smooth sphere spherical straight line string subtend surface tangent tension triangle Trinity College uniform vertex vertical Vis Viva weight аф
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