Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page x
... Twist - Estimation of Integral Twist in a Plane Curve ; in a Curve consisting of plane portions in different Planes ; in a continuously Tortuous Curve - Dynamics of Twist in Kinks Surface rolling on Surface ; both traces given Surface ...
... Twist - Estimation of Integral Twist in a Plane Curve ; in a Curve consisting of plane portions in different Planes ; in a continuously Tortuous Curve - Dynamics of Twist in Kinks Surface rolling on Surface ; both traces given Surface ...
Page 4
... twisting , round the tangent line ; thus exhibiting a torsion . The course of such a curve is , in common language , well called ' tortuous ; ' and the measure of the corresponding property is conveniently called Tortuosity . 8. The ...
... twisting , round the tangent line ; thus exhibiting a torsion . The course of such a curve is , in common language , well called ' tortuous ; ' and the measure of the corresponding property is conveniently called Tortuosity . 8. The ...
Page 87
... twisting round the tangent line to the traces . When there is no spinning the projections of the two traces on the common tangent plane at the point of contact of the two surfaces have equal and same - way directed curvature : or they ...
... twisting round the tangent line to the traces . When there is no spinning the projections of the two traces on the common tangent plane at the point of contact of the two surfaces have equal and same - way directed curvature : or they ...
Page 88
... in the common tangent plane of the two surfaces , thus : * Ў ( twisting component ) .. w + Ρ q q = ( C ' ' — C ' ) - + [ ( B ' — B ) − ( A ' — 4 ) ] ' 1 — ... ( 6 ) , 9 q and ( direct - rolling component ) .. = ÿ 88 [ 111 . PRELIMINARY .
... in the common tangent plane of the two surfaces , thus : * Ў ( twisting component ) .. w + Ρ q q = ( C ' ' — C ' ) - + [ ( B ' — B ) − ( A ' — 4 ) ] ' 1 — ... ( 6 ) , 9 q and ( direct - rolling component ) .. = ÿ 88 [ 111 . PRELIMINARY .
Page 89
... ( twisting component ) ( direct - rolling component ) ...... i ý + ♡ q P = ( B - a ) xi ( 8 ) , ÿ * w q P q = ( ax2 + ... twists of infinitely narrow bands ( § 120 ) of the two surfaces , along the traces , are equal and in the same ...
... ( twisting component ) ( direct - rolling component ) ...... i ý + ♡ q P = ( B - a ) xi ( 8 ) , ÿ * w q P q = ( ax2 + ... twists of infinitely narrow bands ( § 120 ) of the two surfaces , along the traces , are equal and in the same ...
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acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.