Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page x
... Finite Rotations - Rolling Cones - Position of the Body due to given Rotations Most general Motion of a Rigid Body Precessional Rotation - Model illustrating Precession of Equi- noxes . • SECTIONS 78-94 95-101 102 , 103 • 104-107 · Free ...
... Finite Rotations - Rolling Cones - Position of the Body due to given Rotations Most general Motion of a Rigid Body Precessional Rotation - Model illustrating Precession of Equi- noxes . • SECTIONS 78-94 95-101 102 , 103 • 104-107 · Free ...
Page 9
... finite , and let r diminish without limit . The step of the helix being 2πr tan a = 2π √pr ( 1 ( 1–2 ) * , is , in ... finite curvature The tortuosity , being tan a or 1 P ρ 1 1 - will in the limit be a N mean proportional between the ...
... finite , and let r diminish without limit . The step of the helix being 2πr tan a = 2π √pr ( 1 ( 1–2 ) * , is , in ... finite curvature The tortuosity , being tan a or 1 P ρ 1 1 - will in the limit be a N mean proportional between the ...
Page 22
... finite , r indefinitely small , and therefore indefinitely great . Curvature ( in the limit ) Α = W Tortuosity ( " " ) = 1 / 1 / ⋅ Thus , if we have a material particle moving in the manner speci- fied , and if we consider the force ...
... finite , r indefinitely small , and therefore indefinitely great . Curvature ( in the limit ) Α = W Tortuosity ( " " ) = 1 / 1 / ⋅ Thus , if we have a material particle moving in the manner speci- fied , and if we consider the force ...
Page 23
... finite curvature , and infinite tortuosity . e . When the acceleration is perpendicular to a given plane and proportional to the distance from it , the path is a plane curve , which is the harmonic curve if the acceleration be towards ...
... finite curvature , and infinite tortuosity . e . When the acceleration is perpendicular to a given plane and proportional to the distance from it , the path is a plane curve , which is the harmonic curve if the acceleration be towards ...
Page 35
... . The time of crossing is a u ( 1 - e ) ' which is finite only for e < 1 , because of course a negative value is inadmissible . Relative motion . 49. Another excellent example of the transformation 3-2 48. ] 35 KINEMATICS .
... . The time of crossing is a u ( 1 - e ) ' which is finite only for e < 1 , because of course a negative value is inadmissible . Relative motion . 49. Another excellent example of the transformation 3-2 48. ] 35 KINEMATICS .
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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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