Elements of Natural Philosophy, Volume 1 |
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Page 36
... surface within the body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 91 may be made , only with great circles instead of ...
... surface within the body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 91 may be made , only with great circles instead of ...
Page 37
... surface . Thus we see that if a spherical polygon turns about its angular points in succession , always keeping on the spherical surface , and if the angle through which it turns about each point is twice the supplement of the angle of ...
... surface . Thus we see that if a spherical polygon turns about its angular points in succession , always keeping on the spherical surface , and if the angle through which it turns about each point is twice the supplement of the angle of ...
Page 39
... surface of a vertical right cylinder , the motion of DF parallel to AC will become a rotation about the axis of the cylinder , and the necessary accompaniment of vertical motion will remain un- changed . As it is evident that all ...
... surface of a vertical right cylinder , the motion of DF parallel to AC will become a rotation about the axis of the cylinder , and the necessary accompaniment of vertical motion will remain un- changed . As it is evident that all ...
Page 40
... surface to be touched at any point by another such body . Any motion of one on the other must be of one or more of the forms sliding , rolling , or spinning . The consideration of the first is so simple as to require no comment . Any ...
... surface to be touched at any point by another such body . Any motion of one on the other must be of one or more of the forms sliding , rolling , or spinning . The consideration of the first is so simple as to require no comment . Any ...
Page 41
... surfaces , which are useful in various parts of our subject . The tangent plane at any point of a surface may or may not cut it at that point . In the former case , the surface bends away from the tangent plane partly towards one side ...
... surfaces , which are useful in various parts of our subject . The tangent plane at any point of a surface may or may not cut it at that point . In the former case , the surface bends away from the tangent plane partly towards one side ...
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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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