Elements of Natural Philosophy, Volume 1 |
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Page 5
... section or two to this application of Kinematics . Def . If a flexible and inextensible string be fixed at one point ... normal ( or per- pendicular to the tangent ) to the curve PQ . And thus the evolute of PQ is a definite curve , viz . the ...
... section or two to this application of Kinematics . Def . If a flexible and inextensible string be fixed at one point ... normal ( or per- pendicular to the tangent ) to the curve PQ . And thus the evolute of PQ is a definite curve , viz . the ...
Page 41
... normal sections , curvatures oppositely directed to those in others . In the latter case , the sur- face on every ... section of a surface is equal to that of the normal section through the same tangent line multiplied by the secant of ...
... normal sections , curvatures oppositely directed to those in others . In the latter case , the sur- face on every ... section of a surface is equal to that of the normal section through the same tangent line multiplied by the secant of ...
Page 42
... normal section making an angle ✪ with the normal section of maximum curvature is + cos * 0 + sin " 0 , which includes the above statements as particular cases . 123. Let P , p be two points of a surface indefinitely near to each other ...
... normal section making an angle ✪ with the normal section of maximum curvature is + cos * 0 + sin " 0 , which includes the above statements as particular cases . 123. Let P , p be two points of a surface indefinitely near to each other ...
Page 183
... normal . For in no direction along the surface does the potential change in value , and therefore there is no force ... section . The resultant force , being at every point tangential to the direction of the tube , is inversely as its normal ...
... normal . For in no direction along the surface does the potential change in value , and therefore there is no force ... section . The resultant force , being at every point tangential to the direction of the tube , is inversely as its normal ...
Page 227
... section be taken . point , which in the case of a wire of substance uniform ... normal axes of torsion and flexure coincides with the length of the wire ... section . It can be shown to be the case for a rod of isotropic material and of ...
... section be taken . point , which in the case of a wire of substance uniform ... normal axes of torsion and flexure coincides with the length of the wire ... section . It can be shown to be the case for a rod of isotropic material and of ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord corresponding 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 formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire