Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page vi
... relative rest , or pro- duces acceleration of relative motion . The two corresponding divisions of Dynamics are thus conveniently entitled Statics and Kinetics . One object which we have constantly kept in view is the grand principle of ...
... relative rest , or pro- duces acceleration of relative motion . The two corresponding divisions of Dynamics are thus conveniently entitled Statics and Kinetics . One object which we have constantly kept in view is the grand principle of ...
Page ix
... Relative Motion Resultant Motion 45-49 50 , 51 Harmonic Motion 52-57 Composition of Simple Harmonic Motions in one Line Mechanism for compounding , and Graphical Representation of , 58-61 Harmonic Motions in one Line 62 Composition of ...
... Relative Motion Resultant Motion 45-49 50 , 51 Harmonic Motion 52-57 Composition of Simple Harmonic Motions in one Line Mechanism for compounding , and Graphical Representation of , 58-61 Harmonic Motions in one Line 62 Composition of ...
Page 5
... relative order in space as the positive axes of co - ordinates , OX , OY , OZ . Let OQ bisect LOL ' , and let OR bisect the angle between OL and LO produced through 0 . Let the direction cosines of OL be a , b , c ; OL ' 99 a ' , b ...
... relative order in space as the positive axes of co - ordinates , OX , OY , OZ . Let OQ bisect LOL ' , and let OR bisect the angle between OL and LO produced through 0 . Let the direction cosines of OL be a , b , c ; OL ' 99 a ' , b ...
Page 32
... Relative motion . angle contained by them - but unless their line of intersection remain fixed , or at all events parallel to itself , a somewhat more laboured statement is required to ... relative 32 [ 43 . PRELIMINARY . Relative Motion.
... Relative motion . angle contained by them - but unless their line of intersection remain fixed , or at all events parallel to itself , a somewhat more laboured statement is required to ... relative 32 [ 43 . PRELIMINARY . Relative Motion.
Page 33
... relative motions of all but one with Relative regard to the latter , and the actual motion of the latter , we may find the actual motions of all . The question is very easily answered . Consider for a moment a number of pas- sengers ...
... relative motions of all but one with Relative regard to the latter , and the actual motion of the latter , we may find the actual motions of all . The question is very easily answered . Consider for a moment a number of pas- sengers ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application arbitrary axis Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz ellipsoid equal equations of motion equilibrium expression finite fixed force formula function give given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy Lagrange's linear mass measured momentum moving negative P₁ parallel particle path perpendicular polygon position principal axes principle quadratic quadratic function quantity radius rectangular resultant rigid body rolling roots rotation round simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values variable whole Y₁ αξ λ² аф
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