Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page 9
... condition to be expressed in any case of it is simply that the distance measured along the line from any one point to any other , remains constant , however the line be bent . 15. The use of a cord in mechanism presents us with many ...
... condition to be expressed in any case of it is simply that the distance measured along the line from any one point to any other , remains constant , however the line be bent . 15. The use of a cord in mechanism presents us with many ...
Page 39
... condition when the wheel moves uniformly ; the approximation being the closer , the smaller is the angular motion of the treadle and of the connecting string . imated to more or less closely in the motion steam - engine connected , by ...
... condition when the wheel moves uniformly ; the approximation being the closer , the smaller is the angular motion of the treadle and of the connecting string . imated to more or less closely in the motion steam - engine connected , by ...
Page 48
... condition of having the projections of the ranges coincident with any two given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique or at right angles to one another in ...
... condition of having the projections of the ranges coincident with any two given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique or at right angles to one another in ...
Page 55
... conditions . For description of an integrating machine by which the coefficients A , B , in the Fourier expression ... condition F ( x + ip ) = F ( x ) ....... ( 1 ) , where i denotes any positive or negative integer . Consider the ...
... conditions . For description of an integrating machine by which the coefficients A , B , in the Fourier expression ... condition F ( x + ip ) = F ( x ) ....... ( 1 ) , where i denotes any positive or negative integer . Consider the ...
Page 61
... condition that the points of any one plane in it remain always in a fixed plane in space . 83. There is yet a case in which the construction in § 79 is nugatory - that is when AA ' is paral- lel to BB , but the lines of AB and A ' A'B ...
... condition that the points of any one plane in it remain always in a fixed plane in space . 83. There is yet a case in which the construction in § 79 is nugatory - that is when AA ' is paral- lel to BB , but the lines of AB and A ' A'B ...
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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.