Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill Macmillan and Company, 1876 - 236 páginas |
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Página 6
... of the circles will be at the intersection of PP ' and ST , where T is the point of intersection of the tangents at P and P ' . Prove also that the locus of F for different positions 6 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
... of the circles will be at the intersection of PP ' and ST , where T is the point of intersection of the tangents at P and P ' . Prove also that the locus of F for different positions 6 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
Página 7
Sir George Greenhill. Prove also that the locus of F for different positions of PP ' will be a parabola with its vertex at S. A circle can be described about TPSP ' ( fig . 11 ) and therefore TPP ' = LFSP ; therefore the circle described ...
Sir George Greenhill. Prove also that the locus of F for different positions of PP ' will be a parabola with its vertex at S. A circle can be described about TPSP ' ( fig . 11 ) and therefore TPP ' = LFSP ; therefore the circle described ...
Página 17
... position of the weight if the pressures on the points of support are proportional to 4a + b + c , a + 4h + c , a + b + 4c , where a , b , c are the lengths of the sides of the triangle . The resultant of a + b + c acting at each angular ...
... position of the weight if the pressures on the points of support are proportional to 4a + b + c , a + 4h + c , a + b + 4c , where a , b , c are the lengths of the sides of the triangle . The resultant of a + b + c acting at each angular ...
Página 19
... position of equilibrium the directions of the actions at A and C will intersect on the vertical through G the middle point of the rod . Therefore a sinß = AE = AD cos = AC = b cos ' o sin 8 sin ( B + 20 ) sin ( 17+ ) cos sin ( π - B ...
... position of equilibrium the directions of the actions at A and C will intersect on the vertical through G the middle point of the rod . Therefore a sinß = AE = AD cos = AC = b cos ' o sin 8 sin ( B + 20 ) sin ( 17+ ) cos sin ( π - B ...
Página 22
... positions of the particle and corre- sponding moving point , PQN being always horizontal . u , v velocities of P and Q , PĒC = 0 , ≤ QFD = 0 , LAEC = a . Then since whence CN = CF + FN = 1CD ( 1 + cos 4 ) , - - r ( 1 − cos 0 ) = 1⁄2r ...
... positions of the particle and corre- sponding moving point , PQN being always horizontal . u , v velocities of P and Q , PĒC = 0 , ≤ QFD = 0 , LAEC = a . Then since whence CN = CF + FN = 1CD ( 1 + cos 4 ) , - - r ( 1 − cos 0 ) = 1⁄2r ...
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Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill Sin vista previa disponible - 2016 |
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