# A Treatise on Analytical Statics: The parallelogram of forces. Forces acting at a point. Parallel forces. Forces in two dimensions. On friction. The principle of work. Forces in three dimensions. Graphical statics. Centre of gravity. On strings. The machines

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### Contents

 CHAPTER 1 CHAPTER II 19 PARALLEL FORCES 43 CHAPTER IV 61 CHAPTER V 105 179 120 CHAPTER VI 135
 CHAPTER VII 184 CHAPTER VIII 229 CHAPTER IX 251 CHAPTER X 292 CHAPTER XI 348 Note on two theorems in Conics assumed in Arts 126 127 376378 376 Minimum force to move a heavy circular string on a rough 379

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Page 7 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 349 - The efficiency of a machine is the ratio of the useful work done by it to the total work done by the acting force, a.
Page 7 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 205 - If three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the other two.
Page 365 - In the system of pulleys, in which each pulley hangs by a separate string with one end attached to a fixed beam, there are n moveable pulleys of equal weight w.
Page 271 - ... is the length of the path described by the centre of gravity of the area.
Page 352 - The limbs of animals are generally levers of this description. The socket of the bone, a, Fig.
Page 59 - Show that the area of the triangle whose vertices are (4, 6), (2, —4), (—4, 2) is four times the area of the triangle formed by joining the middle points of the sides.
Page 289 - The two straight lines which join the middle points of the opposite sides of a quadrilateral...
Page 146 - A flat semicircular board with its plane vertical and curved edge upwards rests on a smooth horizontal plane, and is pressed at two given points of its circumference by two beams which slide in smooth vertical tubes; find the ratio of the weights of the beams that the board may be in equilibrium.