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acted axes axis base body Calculate centre centre of gravity circle co-ordinates coefficient common condition constant curvature curve Define described determine developable surface diameters differential directions distance divided effect elastic ellipse equal equilibrium explain Find the equation fixed fluid force formula fraction function given point greater horizontal inclined integer Integrate January least length less light limits maximum mean measured method motion moves NATURAL PHILOSOPHY normal orbit origin oscillations parallel particle passing period perpendicular plane polar pole portion position powers pressure prime principle projection proportional prove PURE MATHEMATICS QUESTIONS IN PURE radii radius rays referred respectively rest result revolving right angle roots round semi-circle shew smooth solid sphere square straight line string surface tangents temperature touch transit vertical weight
Page 3 - The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
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.