Cambridge Senate-house Problems and Riders for the Year 1860: With SolutionsMacmillan, 1860 - 198 sider |
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Side 33
... curvature is p will be m V2 - V12 • The pressure will there- ρ fore vary as the curvature . For divide the arc into small elements 8 , s , Sn and let v , v ... v be the velocities acquired at the end of those arcs ; let F , F ... F be ...
... curvature is p will be m V2 - V12 • The pressure will there- ρ fore vary as the curvature . For divide the arc into small elements 8 , s , Sn and let v , v ... v be the velocities acquired at the end of those arcs ; let F , F ... F be ...
Side 55
... curvature is proportional to the re- ciprocal of the radius of curvature at the corresponding point of the reciprocal polar . Let PY be the tangent to one curve , QZ the tangent to the corresponding point of the reciprocal polar . See ...
... curvature is proportional to the re- ciprocal of the radius of curvature at the corresponding point of the reciprocal polar . Let PY be the tangent to one curve , QZ the tangent to the corresponding point of the reciprocal polar . See ...
Side 59
... curvature , and c is an arbitrary constant . If the curve be an equiangular spiral with the centre of force in the pole , and if one end of the string rest freely on the spiral at a distance a from the pole , then the pressure is equal ...
... curvature , and c is an arbitrary constant . If the curve be an equiangular spiral with the centre of force in the pole , and if one end of the string rest freely on the spiral at a distance a from the pole , then the pressure is equal ...
Side 61
... curvature . The law of attraction being as the distance , the attraction of the whole arc on any particle is the same as if the whole mass was collected at its centre of gravity . Take this point for origin , and let T be the tension at ...
... curvature . The law of attraction being as the distance , the attraction of the whole arc on any particle is the same as if the whole mass was collected at its centre of gravity . Take this point for origin , and let T be the tension at ...
Side 107
... curvature at any point P of an ellipse which is common to the ellipse and circle , and if it be produced to cut the ellipse in Q and the tangent in T , that CP CQ , and that each is a mean proportional prove between CN and CT . = If two ...
... curvature at any point P of an ellipse which is common to the ellipse and circle , and if it be produced to cut the ellipse in Q and the tangent in T , that CP CQ , and that each is a mean proportional prove between CN and CT . = If two ...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions Henry William Watson,Edward John Routh Uten tilgangsbegrensning - 1860 |
Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions Henry William Watson,Edward John Routh Uten tilgangsbegrensning - 1860 |
Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions Henry William Watson,Edward John Routh Uten tilgangsbegrensning - 1860 |
Vanlige uttrykk og setninger
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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