Elements of Natural Philosophy |
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Page 37
... according to the same law as velocities , and therefore the single angular velocity , equivalent to three co - existent angular velocities about three mutually perpendicular axes , is determined in magnitude , and the direction of its ...
... according to the same law as velocities , and therefore the single angular velocity , equivalent to three co - existent angular velocities about three mutually perpendicular axes , is determined in magnitude , and the direction of its ...
Page 41
... according as the curves are : both convex , or one concave and the other convex . 120. We may now take up a few points connected with the curva- ture of surfaces , which are useful in various parts of our subject , The tangent plane at ...
... according as the curves are : both convex , or one concave and the other convex . 120. We may now take up a few points connected with the curva- ture of surfaces , which are useful in various parts of our subject , The tangent plane at ...
Page 44
... ( according to mathematical ideas ) , consist of two sheets meeting in this edge of regression ( just as a cone consists of two sheets meeting in the vertex ) , because each tangent may be produced beyond the point of contact , instead of ...
... ( according to mathematical ideas ) , consist of two sheets meeting in this edge of regression ( just as a cone consists of two sheets meeting in the vertex ) , because each tangent may be produced beyond the point of contact , instead of ...
Page 45
... according to the altered condition of the body , remain similar and similarly situated among one another . 139. The lengths of parallel lines of the body remain in the same proportion to one another , and hence all are altered in - the ...
... according to the altered condition of the body , remain similar and similarly situated among one another . 139. The lengths of parallel lines of the body remain in the same proportion to one another , and hence all are altered in - the ...
Page 54
... according to a principle first we believe given by Sir Edward Sabine , to discover the ' semicircular ' error produced by the ship's iron . The movement may be made very frictionless when the plane is horizontal , by weighting the move ...
... according to a principle first we believe given by Sir Edward Sabine , to discover the ' semicircular ' error produced by the ship's iron . The movement may be made very frictionless when the plane is horizontal , by weighting the move ...
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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 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 parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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