Cambridge Senate-house Problems and Riders for the Year 1860: With SolutionsMacmillan, 1860 - 198 páginas |
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Página 4
... axes ; and the remainder of the con- struction is obvious . 12. Given a right cone and a point within it , there are but two sections which have this point for focus ; and the planes of these sections make equal angles with the straight ...
... axes ; and the remainder of the con- struction is obvious . 12. Given a right cone and a point within it , there are but two sections which have this point for focus ; and the planes of these sections make equal angles with the straight ...
Página 28
... axes vertical , vertices downwards , and foci coincident , prove that there are three chords down which the time of descent of a particle under the action of gravity from one curve to the other is a minimum , and that one of these is ...
... axes vertical , vertices downwards , and foci coincident , prove that there are three chords down which the time of descent of a particle under the action of gravity from one curve to the other is a minimum , and that one of these is ...
Página 35
... axes of the ellipses according to the magnitude of the initially impressed velocity , and the particles will impinge at a point P in the line PE bisecting AB at right angles . See fig . 28 . ( 1 ) If CD be the direction of the major axes ...
... axes of the ellipses according to the magnitude of the initially impressed velocity , and the particles will impinge at a point P in the line PE bisecting AB at right angles . See fig . 28 . ( 1 ) If CD be the direction of the major axes ...
Página 40
... axes is to their difference as the sum of the old axes to the distance between the foci . 2 μ = μ'SB , SB = a ; SB2 = μ'SB , 2π .. νμ = 2παξ μ ' ( vel . ) 2 at B = = μ'a2 , where a = semi - diameter parallel to the α major axis of the ...
... axes is to their difference as the sum of the old axes to the distance between the foci . 2 μ = μ'SB , SB = a ; SB2 = μ'SB , 2π .. νμ = 2παξ μ ' ( vel . ) 2 at B = = μ'a2 , where a = semi - diameter parallel to the α major axis of the ...
Página 41
... 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 . The plane of the required ...
... 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 . The plane of the required ...
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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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