Elements of Natural Philosophy, Volume 1 |
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Page 38
... 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 39
... 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 ...
Page 40
... surface there is maximum curvature ( but in opposite directions ) in the two normal sections whose planes bisect the angles between the lines in which the surface cuts its tangent plane . On account of the difference of sign , these may ...
... surface there is maximum curvature ( but in opposite directions ) in the two normal sections whose planes bisect the angles between the lines in which the surface cuts its tangent plane . On account of the difference of sign , these may ...
Page 41
... surface which can be plane , is a subject which has been well worked by geometrical investigators and writers , and , in its elements at least , presents little difficulty . The first elementary conception to be formed is , that such a ...
... surface which can be plane , is a subject which has been well worked by geometrical investigators and writers , and , in its elements at least , presents little difficulty . The first elementary conception to be formed is , that such a ...
Page 42
... surface when bent as explained above , provided it does not include any of these points of intersection . When the number is infinite , and the surface finitely curved , the developable lines will , in general , be tangents to a curve ...
... surface when bent as explained above , provided it does not include any of these points of intersection . When the number is infinite , and the surface finitely curved , the developable lines will , in general , be tangents to a curve ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem theory tion torsion uniform unit vertical whole wire