Elements of Natural Philosophy, Volume 1 |
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Page 5
... normal ( or per- pendicular to the tangent ) to the curve PQ . And thus the evolute of PQ is a definite curve , viz . the envelop of ( or line which is touched by ) the normals drawn at every point of PQ , or , which is the same thing ...
... normal ( or per- pendicular to the tangent ) to the curve PQ . And thus the evolute of PQ is a definite curve , viz . the envelop of ( or line which is touched by ) the normals drawn at every point of PQ , or , which is the same thing ...
Page 40
... normal at the point of contact . This is pure spin- ning , and does not change the point of contact . Let it move , so that the instantaneous axis , still passing through the point of contact , is neither in , nor perpendicular to , the ...
... normal at the point of contact . This is pure spin- ning , and does not change the point of contact . Let it move , so that the instantaneous axis , still passing through the point of contact , is neither in , nor perpendicular to , the ...
Page 41
... normal sections , curvatures oppositely directed to those in others . In the latter case , the sur- face on every side of the point bends away from the same side of its tangent plane , and the curvatures of all normal sections are ...
... normal sections , curvatures oppositely directed to those in others . In the latter case , the sur- face on every side of the point bends away from the same side of its tangent plane , and the curvatures of all normal sections are ...
Page 42
... normal planes at right angles to each other , is independent of the position of these planes . ' I If and be the maximum and minimum curvatures at any P σ point , the curvature of a normal section making an angle ✪ with the normal ...
... normal planes at right angles to each other , is independent of the position of these planes . ' I If and be the maximum and minimum curvatures at any P σ point , the curvature of a normal section making an angle ✪ with the normal ...
Page 52
... normal to the surface as one of three rectangular directions of resolution . No displacement can be effected parallel to it : and the other two displacements , at right angles to each other , in the tangent plane to the surface , are ...
... normal to the surface as one of three rectangular directions of resolution . No displacement can be effected parallel to it : and the other two displacements , at right angles to each other , in the tangent plane to the surface , are ...
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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