Cambridge problems proposed by the moderators to the candidates for mathematical honors at the general examination, 1843, Volume 2

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Page 3 - The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
Page 10 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.
Page 10 - Triangles and parallelograms of the same altitude are to one another as their bases.
Page 6 - ... string passing over a pulley at the top of the inclined plane hangs vertically, supporting a weight (P).
Page 1 - To express the cosine of an angle of a spherical triangle in terms of the sines and cosines of the sides. Let ABC be a spherical triangle, O the centre of the sphere.
Page 8 - A Screw of Archimedes is capable of turning freely round its axis, which is fixed in a vertical position ; a heavy particle is placed at the top of the tube and runs down through it; determine the whole angular velocity communicated to the screw.
Page 11 - B, cot a sin c = cot A sin B + cos c cos B.

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