Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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Page ix
... Fixed Centre 33-35 • 36 Hodograph 37-39 • Curves of Pursuit 40 Angular Velocity and Acceleration 41-44 Relative Motion Resultant Motion 45-49 50 , 51 Harmonic Motion 52-57 Composition of Simple Harmonic Motions in one Line 58-61 ...
... Fixed Centre 33-35 • 36 Hodograph 37-39 • Curves of Pursuit 40 Angular Velocity and Acceleration 41-44 Relative Motion Resultant Motion 45-49 50 , 51 Harmonic Motion 52-57 Composition of Simple Harmonic Motions in one Line 58-61 ...
Page x
... Fixed Point - Euler's Theorem -Rodrigues ' Co - ordinates - Composition of Rotations- Composition of Angular Velocities - Composition of suc- cessive Finite Rotations - Rolling Cones - Position of the Body due to given Rotations Most ...
... Fixed Point - Euler's Theorem -Rodrigues ' Co - ordinates - Composition of Rotations- Composition of Angular Velocities - Composition of suc- cessive Finite Rotations - Rolling Cones - Position of the Body due to given Rotations Most ...
Page 7
... fixed point , to move so as always to be parallel to the direction of motion of a point describing the curve : the ... fixed point , parallel to tangents at successive points of the curve . These lines will form a conical surface ...
... fixed point , to move so as always to be parallel to the direction of motion of a point describing the curve : the ... fixed point , parallel to tangents at successive points of the curve . These lines will form a conical surface ...
Page 9
... fixed straight 1 line , the axis of the cylinder ) , will have finite curvature The 1 tortuosity , being tan a or 1 P P √pr ( 1 - 12 ) 4 will in the limit be a mean proportional between the curvature of the circular section of the ...
... fixed straight 1 line , the axis of the cylinder ) , will have finite curvature The 1 tortuosity , being tan a or 1 P P √pr ( 1 - 12 ) 4 will in the limit be a mean proportional between the curvature of the circular section of the ...
Page 10
... fixed at one point of a plane curve , and stretched along the curve , and be then unwound in the plane of the curve , its extremity will describe an Involute of the curve . The original curve , con- sidered with reference to the other ...
... fixed at one point of a plane curve , and stretched along the curve , and be then unwound in the plane of the curve , its extremity will describe an Involute of the curve . The original curve , con- sidered with reference to the other ...
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Common terms and phrases
acceleration action altered angular velocity anticlastic application B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dy dy dy dz ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy Laplace's equation length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quantity radius ratio rectangular right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane theorem tion twist values whole x₁ y₁ αξ λ² аф