A Book of Mathematical Problems on Subjects Included in the Cambridge Course

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Macmillan, 1867 - 344 pàgines
 

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Pàgina 1 - If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...
Pàgina 251 - E, act along the sides of a triangle, ABC, and their resultant passes through the centres of the inscribed and circumscribed circles : prove that P _ Q _ R cos B — cos C ~~ cos C — cos A cos A — cos B ("Wolstenholme's Book of Mathematical Problems).
Pàgina 260 - Q of similar material, resting on a double inclined plane, are connected by a fine string passing over the common vertex, and Q is on the point of motion down the plane. Prove that the...
Pàgina 56 - T' formulae. 2 sin A . cos B = sin (A + B) + sin (A -B), ' 2 cos A . sin B = sin (A + B) — sin (A - B), h 1v.
Pàgina 257 - A uniform rod of length c rests with one end on a smooth elliptic arc whose major axis is horizontal and with the other on a smooth vertical plane at a distance h from the centre of the ellipse ; the ellipse and the rod being in a vertical plane.
Pàgina 62 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...

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