An Introduction to Natural Philosophy: Designed as a Text-book for the Use of Students in College

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Collins & Brother, 1870 - 437 pages
 

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Page 25 - The sides of a triangle are proportional to the sines of the opposite angles.
Page 429 - The moment of inertia of an area with respect to any axis is equal to the moment of inertia with respect to a parallel axis through the...
Page 128 - Two equal circular disks with smooth edges, placed on their flat sides in the corner between two smooth vertical planes inclined at a given angle, touch each other in the line bisecting the angle. Find the radius of the least disk which may be pressed between them without causing them to separate. LXXIV. If two scales, one containing a weight P and the other a weight Q, be suspended by a string over a rough sphere, Q2...
Page 108 - ... upward, will rise to the same height from which it must have fallen to acquire the velocity of projection (Art.
Page 317 - More heat is required to raise the temperature of a pound of water one degree...
Page 17 - ... line drawn through a point, or a cubic, will generally meet the curve in two other points. Let the investigation therefore be limited to that class of symmetrical cubics which are represented by the equation 2 _ j Ax+B m y Cx~+D' ( ; the point through which the chords are to be drawn being the origin.
Page 19 - D ; how far will the latter body fall before it is overtaken by the former? Let C be the point where one body overtakes the other, and let AB = a, BD =b, DC = x; then AC = a + b + x. (2a;\ — ) , and time down BC = time 9
Page 139 - Therefore the specific gravity of a solid or a liquid body, is the ratio of its weight to the weight of an equal volume of water...
Page 126 - If three uniform rods be rigidly united so as to form half of a regular hexagon, prove that if suspended from one of the angles, one of the rods will be horizontal.
Page 127 - A frustum is cut from a right cone by a plane bisecting the axis, and parallel to the base; show that it will rest with its slant side on a horizontal...

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