Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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Page viii
... portion of this volume ; as he will thus be forced to think out for himself what he has been too often accustomed to reach by a mere mechanical application of analysis . Nothing can be more fatal to progress than a too confident ...
... portion of this volume ; as he will thus be forced to think out for himself what he has been too often accustomed to reach by a mere mechanical application of analysis . Nothing can be more fatal to progress than a too confident ...
Page x
... portions in different Planes ; in a continuously Tortuous Curve - Dynamics of Twist in Kinks Surface rolling on Surface ; both traces given Surface rolling on Surface without spinning Examples of Tortuosity and Twist Curvature of ...
... portions in different Planes ; in a continuously Tortuous Curve - Dynamics of Twist in Kinks Surface rolling on Surface ; both traces given Surface rolling on Surface without spinning Examples of Tortuosity and Twist Curvature of ...
Page 1
... portions of curved and straight lines meeting each other at any angles . If the motion be that of a material particle , however , there cannot generally be any such abrupt changes of direction , since ( as we shall afterwards see ) this ...
... portions of curved and straight lines meeting each other at any angles . If the motion be that of a material particle , however , there cannot generally be any such abrupt changes of direction , since ( as we shall afterwards see ) this ...
Page 2
... portion of a curve may be approximately taken as a circular arc , the approximation being closer and closer to the truth , as the assumed arc is smaller . The curva- ture is then the reciprocal of the radius of this circle . If 80 be ...
... portion of a curve may be approximately taken as a circular arc , the approximation being closer and closer to the truth , as the assumed arc is smaller . The curva- ture is then the reciprocal of the radius of this circle . If 80 be ...
Page 7
... portion is its whole curvature divided by its length . Suppose a line , drawn from a fixed point , to move so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns ...
... portion is its whole curvature divided by its length . Suppose a line , drawn from a fixed point , to move so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns ...
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Common terms and phrases
acceleration action altered angular velocity anticlastic application B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dy dy dy dz ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy Laplace's equation length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quantity radius ratio rectangular right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane theorem tion twist values whole x₁ y₁ αξ λ² аф