Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page xvi
... course including Kinetic Foci - Two or more Courses of Minimum Action possible - Case of two mini- mum , and one not minimum , Geodetic Lines between two Points - Difference between two sides and the third of a Kinetic Triangle ...
... course including Kinetic Foci - Two or more Courses of Minimum Action possible - Case of two mini- mum , and one not minimum , Geodetic Lines between two Points - Difference between two sides and the third of a Kinetic Triangle ...
Page xvii
... course - Natural course proved not a course of Minimum Action , beyond a Kinetic Focus -A course which includes no Focus conjugate to either extremity includes no pair of conjugate Foci - How many Kinetic Foci in any case - Theorem of ...
... course - Natural course proved not a course of Minimum Action , beyond a Kinetic Focus -A course which includes no Focus conjugate to either extremity includes no pair of conjugate Foci - How many Kinetic Foci in any case - Theorem of ...
Page 4
... course of such a curve is , in common language , well called ' tortuous ; ' and the measure of the corresponding property is conveniently called Tortuosity . 8. The nature of this will be best understood by consider- ing the curve as a ...
... course of such a curve is , in common language , well called ' tortuous ; ' and the measure of the corresponding property is conveniently called Tortuosity . 8. The nature of this will be best understood by consider- ing the curve as a ...
Page 7
... course take the enlarged modern meaning of an angle , including angles greater than two right angles , and also nega- tive angles . Thus the integral curvature of any closed curve , whether everywhere concave to the interior or not , is ...
... course take the enlarged modern meaning of an angle , including angles greater than two right angles , and also nega- tive angles . Thus the integral curvature of any closed curve , whether everywhere concave to the interior or not , is ...
Page 9
... course , · The tortuosity is or T ( compa § 156 ) . tan a curvature . Hence , if a = are equal . π 4 the curvature and tortuosity Let the curvature be denoted by so that cos a = . Let p " Ρ remain finite , and let r diminish without ...
... course , · The tortuosity is or T ( compa § 156 ) . tan a curvature . Hence , if a = are equal . π 4 the curvature and tortuosity Let the curvature be denoted by so that cos a = . Let p " Ρ remain finite , and let r diminish without ...
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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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