Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page x
... Anticlastic Surfaces- Meunier's Theorem - Euler's Theorem - Definition of Line of Curvature - Shortest Line between two points on a Surface Spherical Excess - Area of Spherical Polygon - Reciprocal Polars on a Sphere - Integral change ...
... Anticlastic Surfaces- Meunier's Theorem - Euler's Theorem - Definition of Line of Curvature - Shortest Line between two points on a Surface Spherical Excess - Area of Spherical Polygon - Reciprocal Polars on a Sphere - Integral change ...
Page xvi
... anticlastic Surface , unstable ; -on a synclastic Surface , stable - Differential Equation of Disturbed Path • General investigation of Disturbed Path - Differential Equa- tion of Disturbed Path of Single Particle in a Plane - Ki- netic ...
... anticlastic Surface , unstable ; -on a synclastic Surface , stable - Differential Equation of Disturbed Path • General investigation of Disturbed Path - Differential Equa- tion of Disturbed Path of Single Particle in a Plane - Ki- netic ...
Page 101
... Anticlastic and Synclastic . A saddle gives Synclastic a good example of the former class ; a ball of the latter . Cur - clastic sur- vatures in opposite directions , with reference to the tangent plane , have of course different signs ...
... Anticlastic and Synclastic . A saddle gives Synclastic a good example of the former class ; a ball of the latter . Cur - clastic sur- vatures in opposite directions , with reference to the tangent plane , have of course different signs ...
Page 102
... anti- clastic , surface . If it be zero we have one curvature only , and the surface is cylindrical at the point considered . It is demonstrated ( § 152 , below ) that if this condition 102 [ 130 . PRELIMINARY . Most general Motion of a ...
... anti- clastic , surface . If it be zero we have one curvature only , and the surface is cylindrical at the point considered . It is demonstrated ( § 152 , below ) that if this condition 102 [ 130 . PRELIMINARY . Most general Motion of a ...
Page 103
... anticlastic , or cylindrical , at any point , was called by Dupin the Indicatrix . normal sections . of Line of A line of curvature of a surface is a line which at every point Definition is cotangential with normal section of maximum or ...
... anticlastic , or cylindrical , at any point , was called by Dupin the Indicatrix . normal sections . of Line of A line of curvature of a surface is a line which at every point Definition is cotangential with normal section of maximum or ...
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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.