Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xiv
... side by side in the same direction - Quadrantal Pendulum defined - Motion of a Solid of Revolution with its axis always in one plane through a Liquid ― Observed phenomena - Applications to Nautical Dynamics and Gunnery- Action Time ...
... side by side in the same direction - Quadrantal Pendulum defined - Motion of a Solid of Revolution with its axis always in one plane through a Liquid ― Observed phenomena - Applications to Nautical Dynamics and Gunnery- Action Time ...
Page xvi
... , Geodetic Lines between two Points - Difference between two sides and the third of a Kinetic Triangle - Actions on different courses infinitely 346-355 near one another between two conjugate Kinetic Foci , proved xvi CONTENTS .
... , Geodetic Lines between two Points - Difference between two sides and the third of a Kinetic Triangle - Actions on different courses infinitely 346-355 near one another between two conjugate Kinetic Foci , proved xvi CONTENTS .
Page xvii
... sides , deviating infinitely little from the third , are together equal to it , they con- stitute an unbroken natural course - Natural course proved not a course of Minimum Action , beyond a Kinetic Focus -A course which includes no ...
... sides , deviating infinitely little from the third , are together equal to it , they con- stitute an unbroken natural course - Natural course proved not a course of Minimum Action , beyond a Kinetic Focus -A course which includes no ...
Page 4
... side of the polygon will not be in the same plane with the first two , and , therefore , the new plane in which the curvature is to be measured is different from the old one . The plane of the curvature on each side of any point of a ...
... side of the polygon will not be in the same plane with the first two , and , therefore , the new plane in which the curvature is to be measured is different from the old one . The plane of the curvature on each side of any point of a ...
Page 15
... sides are OA , OB . Hence the resultant of velocities represented by the sides of any closed polygon whatever , whether in one plane or not , taken all in the same order , is zero . Hence also the resultant of velocities represented by ...
... sides are OA , OB . Hence the resultant of velocities represented by the sides of any closed polygon whatever , whether in one plane or not , taken all in the same order , is zero . Hence also the resultant of velocities represented by ...
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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.