Cambridge Senate-house Problems and Riders for the Year 1860: With SolutionsMacmillan, 1860 - 198 sider |
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Side 41
... referred to the principal axes of the ellipsoid . The ellipsoid is acted on by its weight vertically down- wards , through the centre , and the normal action of the horizontal plane vertically upwards , through the point of contact ...
... referred to the principal axes of the ellipsoid . The ellipsoid is acted on by its weight vertically down- wards , through the centre , and the normal action of the horizontal plane vertically upwards , through the point of contact ...
Side 42
... referred to AB and AD as axes , being x and y . 2 3 Let P P P P be the pressures at the angular points , and let 2 , 2 , 2 , 2 , be the altered lengths of the legs . Then 1 C - 2 - 21 c — 1 = XP , or z1 = c - McP , C and so forth , also ...
... referred to AB and AD as axes , being x and y . 2 3 Let P P P P be the pressures at the angular points , and let 2 , 2 , 2 , 2 , be the altered lengths of the legs . Then 1 C - 2 - 21 c — 1 = XP , or z1 = c - McP , C and so forth , also ...
Side 59
... referred to a unit of length will be Fsin o 2 C + , where is the angle which the radius vector from the centre of force makes with the tangent , p is the radius of curvature , and c is an arbitrary constant . If the curve be an ...
... referred to a unit of length will be Fsin o 2 C + , where is the angle which the radius vector from the centre of force makes with the tangent , p is the radius of curvature , and c is an arbitrary constant . If the curve be an ...
Side 60
... referred to a unit of area , then by the ordinary equations for the equi- librium of a string T P dT ds = F cos 4 , + F sin & = R ; • . R = F'sin & + √Fcos øds .. P ... ( 1 ) . Letv velocity of the particle freely describing the curve ...
... referred to a unit of area , then by the ordinary equations for the equi- librium of a string T P dT ds = F cos 4 , + F sin & = R ; • . R = F'sin & + √Fcos øds .. P ... ( 1 ) . Letv velocity of the particle freely describing the curve ...
Side 76
... referred to AE and AD as axes is х y √ ( 1 ) + √ ( 2 ) = 1 , 26 2c and the equation to the tangent at any point x'y ' is x √ ( 2bx ' ) + y √ ( 2bx ' ) √ ( 2cy ' ) = 1 . The perpendiculars upon this tangent from the points A , B , C ...
... referred to AE and AD as axes is х y √ ( 1 ) + √ ( 2 ) = 1 , 26 2c and the equation to the tangent at any point x'y ' is x √ ( 2bx ' ) + y √ ( 2bx ' ) √ ( 2cy ' ) = 1 . The perpendiculars upon this tangent from the points A , B , C ...
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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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