Elements of Natural Philosophy, Part 1 |
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Page 32
... internal rolling on a circle of double its diameter . Hence if a circle roll internally on another of twice its diameter any point in its circumference describes a diameter of the fixed circle , any other point in its plane an ellipse ...
... internal rolling on a circle of double its diameter . Hence if a circle roll internally on another of twice its diameter any point in its circumference describes a diameter of the fixed circle , any other point in its plane an ellipse ...
Page 34
... internally on another of four times its radius . The curve of § 87 is a hypotrochoid described by a point in the plane of a circle which rolls internally on another of rather more than twice its diameter , the tracing - point passing ...
... internally on another of four times its radius . The curve of § 87 is a hypotrochoid described by a point in the plane of a circle which rolls internally on another of rather more than twice its diameter , the tracing - point passing ...
Page 78
... internal , altogether do or resist . Now , by the principle of superposition of forces in equilibrium , we might , without altering their effect , apply to any one point of the system such a force as we have just seen would hold the ...
... internal , altogether do or resist . Now , by the principle of superposition of forces in equilibrium , we might , without altering their effect , apply to any one point of the system such a force as we have just seen would hold the ...
Page 79
... internal and applied forces , varying according to some definite law , is balanced by them in any position in which it may be placed , its equilibrium is said to be neutral . This is the case with any spherical body of uniform material ...
... internal and applied forces , varying according to some definite law , is balanced by them in any position in which it may be placed , its equilibrium is said to be neutral . This is the case with any spherical body of uniform material ...
Page 80
... internal forces in any possible displacement , the equilibrium is neutral , but not unless . If in every possible infinitely small displacement from a position of equilibrium there is more potential energy stored up than work done , the ...
... internal forces in any possible displacement , the equilibrium is neutral , but not unless . If in every possible infinitely small displacement from a position of equilibrium there is more potential energy stored up than work done , the ...
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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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Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.