Cambridge Senate-house Problems and Riders for the Year 1860: With SolutionsMacmillan, 1860 - 198 páginas |
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... point A of a circle , and be produced to D and E , so that the rectangle AC ... fixed while C moves round the circle , the angle ADE will be constant and ... point . Let the exterior angles A and C of the triangle ABC be bisected by AD ...
... point A of a circle , and be produced to D and E , so that the rectangle AC ... fixed while C moves round the circle , the angle ADE will be constant and ... point . Let the exterior angles A and C of the triangle ABC be bisected by AD ...
Página 11
... point of the hypothenuse with that line horizontal the lines of construction having no weight . Let D be the middle ... fixed point , about which it is free to move in all direc- tions , passes over the circumference of a rough ring ...
... point of the hypothenuse with that line horizontal the lines of construction having no weight . Let D be the middle ... fixed point , about which it is free to move in all direc- tions , passes over the circumference of a rough ring ...
Página 12
With Solutions Henry William Watson, Edward John Routh. centre is at the fixed point and whose plane is inclined at a given angle to the horizon ; find the limiting position of equi- librium . Let O be the centre of the ring , fig . 7 ...
With Solutions Henry William Watson, Edward John Routh. centre is at the fixed point and whose plane is inclined at a given angle to the horizon ; find the limiting position of equi- librium . Let O be the centre of the ring , fig . 7 ...
Página 23
... fixed cannot alter the area of the polygon . Let AB be displaced to A'B ' . The point of intersection of these lines will ultimately coincide with the point of contact P , and we have △ APA ' = △ BPB ' ultimately ; .. AP . A'P sin APA ...
... fixed cannot alter the area of the polygon . Let AB be displaced to A'B ' . The point of intersection of these lines will ultimately coincide with the point of contact P , and we have △ APA ' = △ BPB ' ultimately ; .. AP . A'P sin APA ...
Página 27
... point of slipping at both A and B , and let F , F " be the frictions at the two points . Then F , F " are both known ... fixed point . Thus the friction acts along QA , and the locus of P is the fixed straight line QA . But P cannot lie ...
... point of slipping at both A and B , and let F , F " be the frictions at the two points . Then F , F " are both known ... fixed point . Thus the friction acts along QA , and the locus of P is the fixed straight line QA . But P cannot lie ...
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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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