Elements of Natural Philosophy, Part 1 |
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Page 1
... produce or to change motion . Dynamics , therefore , is divided into two parts , which are conveniently called ... producing or in changing motion . 4. In Kinetics it is not mere motion which is investigated , but the relation of forces ...
... produce or to change motion . Dynamics , therefore , is divided into two parts , which are conveniently called ... producing or in changing motion . 4. In Kinetics it is not mere motion which is investigated , but the relation of forces ...
Page 3
... a plane polygon , and the integral change of direction , or the angle between the first and last sides , is then the sum of its exterior angles , all the sides being produced each in the direction in B 2 KINEMATICS . 3.
... a plane polygon , and the integral change of direction , or the angle between the first and last sides , is then the sum of its exterior angles , all the sides being produced each in the direction in B 2 KINEMATICS . 3.
Page 4
William Thomson Baron Kelvin, Peter Guthrie Tait. all the sides being produced each in the direction in which the moving point describes it while passing round the figure . This is true whether the polygon be closed or not . If closed ...
William Thomson Baron Kelvin, Peter Guthrie Tait. all the sides being produced each in the direction in which the moving point describes it while passing round the figure . This is true whether the polygon be closed or not . If closed ...
Page 14
... Produce YS to cut the circle again in Z. Then YS SZ is constant , and therefore SZ is inversely as SP , that is , SZ is proportional to the velocity at P. Also 1 Proc . R. S. 1865 . S U -B SZ is perpendicular to the direction of motion ...
... Produce YS to cut the circle again in Z. Then YS SZ is constant , and therefore SZ is inversely as SP , that is , SZ is proportional to the velocity at P. Also 1 Proc . R. S. 1865 . S U -B SZ is perpendicular to the direction of motion ...
Page 15
... produced , so that YSSU is constant , the locus of U is easily seen to be a circle . Hence the proposition is generally true for all conic sections . The hodograph surrounds its origin if the orbit be an ellipse , passes through it when ...
... produced , so that YSSU is constant , the locus of U is easily seen to be a circle . Hence the proposition is generally true for all conic sections . The hodograph surrounds its origin if the orbit be an ellipse , passes through it when ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called Cambridge centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipsoid elongation equal equations equilibrium external finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section Octavo P. G. TAIT P₁ P₂ parallel particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem theory tion torsion uniform unit vertical whole wire
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