Elements of Natural Philosophy, Volume 1 |
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Page 4
... condition to be expressed in any case of it is simply that the distance measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many ...
... condition to be expressed in any case of it is simply that the distance measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many ...
Page 21
... condition when the wheel moves uniformly ; the approxi- mation being the closer , the smaller is the angular motion of the treadle and of the connecting string . It is also approximated to more or less closely in the motion of the ...
... condition when the wheel moves uniformly ; the approxi- mation being the closer , the smaller is the angular motion of the treadle and of the connecting string . It is also approximated to more or less closely in the motion of the ...
Page 27
... condition of having the projections of the ranges coincident with any two given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique or at right angles to one another in ...
... condition of having the projections of the ranges coincident with any two given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique or at right angles to one another in ...
Page 30
... conditions . ] 90. We now pass to the consideration of the displacement of a rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own ...
... conditions . ] 90. We now pass to the consideration of the displacement of a rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own ...
Page 31
... condition that the points of any one plane in it remain always in a fixed plane in space . 95. There is yet a case in which the construction in § 91 is nugatory - that is when AA ' is parallel to BB ' , but AB intersects A'B ' . In A ...
... condition that the points of any one plane in it remain always in a fixed plane in space . 95. There is yet a case in which the construction in § 91 is nugatory - that is when AA ' is parallel to BB ' , but AB intersects A'B ' . In A ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic applied attraction axes axis called Cambridge centre of gravity centre of inertia circle co-ordinates component configuration consider constant corresponding cosine couple curvature curve Demy 8vo denote density described diagram direction of motion displacement distance Edited elastic ellipse ellipsoid elongation equal equations equilibrium external point fixed point fluid forces acting friction geometrical given force Hence hodograph inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal P₁ parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square St John's College straight line strain suppose tangent tion torsion uniform unit University of Cambridge vertical whole wire
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