Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xvi
... course including Kinetic Foci - Two or more Courses of Minimum Action possible - Case of two mini- mum , and one not minimum , Geodetic Lines between two Points - Difference between two sides and the third of a Kinetic Triangle ...
... course including Kinetic Foci - Two or more Courses of Minimum Action possible - Case of two mini- mum , and one not minimum , Geodetic Lines between two Points - Difference between two sides and the third of a Kinetic Triangle ...
Page xvii
... course - Natural course proved not a course of Minimum Action , beyond a Kinetic Focus -A course which includes no Focus conjugate to either extremity includes no pair of conjugate Foci - How many Kinetic Foci in any case - Theorem ...
... course - Natural course proved not a course of Minimum Action , beyond a Kinetic Focus -A course which includes no Focus conjugate to either extremity includes no pair of conjugate Foci - How many Kinetic Foci in any case - Theorem ...
Page 4
... 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 nature of this will be best understood by consider- ing the curve as a ...
... 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 nature of this will be best understood by consider- ing the curve as a ...
Page 7
... course take the enlarged modern meaning of an angle , including angles greater than two right angles , and also nega- tive angles . Thus the integral curvature of any closed curve , whether everywhere concave to the interior or not , is ...
... course take the enlarged modern meaning of an angle , including angles greater than two right angles , and also nega- tive angles . Thus the integral curvature of any closed curve , whether everywhere concave to the interior or not , is ...
Page 12
... course of an hour , it may not have moved a mile altogether . Indeed , we may imagine , at any instant during the motion , the steam to be so adjusted as to keep the train running for some time at a perfectly uniform velocity . This ...
... course of an hour , it may not have moved a mile altogether . Indeed , we may imagine , at any instant during the motion , the steam to be so adjusted as to keep the train running for some time at a perfectly uniform velocity . This ...
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Common terms and phrases
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.