Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page x
... Trace prescribed and no Spinning permitted ; two degrees of freedom - Angular Velocity of direct Rolling — Angular Velocity round Tangent - Surface on Surface - Both traces prescribed ; one degree of freedom Twist - Estimation of ...
... Trace prescribed and no Spinning permitted ; two degrees of freedom - Angular Velocity of direct Rolling — Angular Velocity round Tangent - Surface on Surface - Both traces prescribed ; one degree of freedom Twist - Estimation of ...
Page 8
... trace of the rolling on the plane , is a proper measure of the whole torsion , or integral of tortuosity . From this and § 12 it follows that the curvature of this plane curve at any point , or , which is the same , the projection of ...
... trace of the rolling on the plane , is a proper measure of the whole torsion , or integral of tortuosity . From this and § 12 it follows that the curvature of this plane curve at any point , or , which is the same , the projection of ...
Page 10
... tracing of curves , a flexible and inextensible cord is often supposed . Thus , in drawing an ellipse , the focal ... trace the curve . By a ruler moveable about one focus , and a string attached to a point in the ruler and to the ...
... tracing of curves , a flexible and inextensible cord is often supposed . Thus , in drawing an ellipse , the focal ... trace the curve . By a ruler moveable about one focus , and a string attached to a point in the ruler and to the ...
Page 11
... tracing , that the arc pq is equal to the difference of qQ and pP , or that the arc pA is equal to pP . 20. The rate of motion of a point , or its rate of change of Velocity . position , is called its Velocity . It is greater or less as ...
... tracing , that the arc pq is equal to the difference of qQ and pP , or that the arc pA is equal to pP . 20. The rate of motion of a point , or its rate of change of Velocity . position , is called its Velocity . It is greater or less as ...
Page 50
... tracing equal areas in equal times ; and of period 2π ய . 67. We must next take the case of the composition of simple kinds and harmonic motions of different periods and in different lines . In general , whether these lines be in one ...
... tracing equal areas in equal times ; and of period 2π ய . 67. We must next take the case of the composition of simple kinds and harmonic motions of different periods and in different lines . In general , whether these lines be in one ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder degrees of freedom denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz dynamical ellipsoid equal equations of motion equilibrium expression finite fluid force formula function give given gyrostatic Hence impulse infinitely small instant integral kinetic energy length linear mass measured momentum moving negative notation osculating plane P₁ parallel particle path perpendicular polygon position principal axes principle quadratic quadratic function quantity radius rectangular resultant rigid body rolling roots rotation round simple harmonic motions solution space spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole zero αξ
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.