Elements of Natural Philosophy |
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Page 24
... placed that a cord passing from a fixed point half round each of them has its free parts all in parallel lines , and if their centres be moved with simple harmonio motions of any ranges and any periods in lines parallel PRELIMINARY .
... placed that a cord passing from a fixed point half round each of them has its free parts all in parallel lines , and if their centres be moved with simple harmonio motions of any ranges and any periods in lines parallel PRELIMINARY .
Page 26
... round the circumference of this circle ; and the same point , if moving in the direction indicated by the arrow , will give a simple harmonic motion of P , in B'A ' , a quarter of a period behind that of the motion of P in BA . But ...
... round the circumference of this circle ; and the same point , if moving in the direction indicated by the arrow , will give a simple harmonic motion of P , in B'A ' , a quarter of a period behind that of the motion of P in BA . But ...
Page 30
... round the point to bring it from the first to the second position . The preceding simple construction therefore enables us not only to demonstrate the general proposition ( § 91 ) , but also to determine from the two positions of one ...
... round the point to bring it from the first to the second position . The preceding simple construction therefore enables us not only to demonstrate the general proposition ( § 91 ) , but also to determine from the two positions of one ...
Page 37
... round , it clearly comes back to its primitive position . This ( as all rolling of cones ) is exhibited best by taking the intersection of each with a spherical surface . Thus we see that if a spherical polygon turns about its angular ...
... round , it clearly comes back to its primitive position . This ( as all rolling of cones ) is exhibited best by taking the intersection of each with a spherical surface . Thus we see that if a spherical polygon turns about its angular ...
Page 39
... round the axis of the fixed cone with an angular velocity , which must clearly bear a constant ratio to the angular velocity w of the rigid body about its instantaneous axis . 117. The motion of the plane containing these axes is called ...
... round the axis of the fixed cone with an angular velocity , which must clearly bear a constant ratio to the angular velocity w of the rigid body about its instantaneous axis . 117. The motion of the plane containing these axes is called ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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 tion torsion uniform unit vertical vibrations weight whole wire