Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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Page xiv
... Infinitely small Disturbance from Unstable Equilibrium - Potential and Kinetic Energies expressed as Functions of Time- Example of Fundamental Modes SECTIONS 318 , 319 320-330 331-336 337 General Theorem of Fundamental Modes of ...
... Infinitely small Disturbance from Unstable Equilibrium - Potential and Kinetic Energies expressed as Functions of Time- Example of Fundamental Modes SECTIONS 318 , 319 320-330 331-336 337 General Theorem of Fundamental Modes of ...
Page xv
... Infinitely small Motion of a Dissipative System - Cycloidal System defined - Positional and Motional Forces - Differ- ential Equations of Complex Cycloidal Motion - Their Solution - Algebra of Linear Equations - Minors of a De ...
... Infinitely small Motion of a Dissipative System - Cycloidal System defined - Positional and Motional Forces - Differ- ential Equations of Complex Cycloidal Motion - Their Solution - Algebra of Linear Equations - Minors of a De ...
Page xvi
... not minimum , Geodetic Lines between two Points - Difference between two sides and the third of a Kinetic Triangle - Actions on different courses infinitely 346-355 near one another between two conjugate Kinetic Foci , proved xvi CONTENTS .
... not minimum , Geodetic Lines between two Points - Difference between two sides and the third of a Kinetic Triangle - Actions on different courses infinitely 346-355 near one another between two conjugate Kinetic Foci , proved xvi CONTENTS .
Page xvii
... infinitely little from the third , are together equal to it , they con- stitute an unbroken natural course - Natural course proved not a course of Minimum Action , beyond a Kinetic Focus -A course which includes no Focus conjugate to ...
... infinitely little from the third , are together equal to it , they con- stitute an unbroken natural course - Natural course proved not a course of Minimum Action , beyond a Kinetic Focus -A course which includes no Focus conjugate to ...
Page 5
... infinitely small ; and in the same limit . ( 7 ) dz n = ; ds dz c ' - c = d . ( 8 ) ; ds & c . .... ( 9 ) ; dx 1 = m = ds ' dy ds " dx a ' - a = d ds " bc ' - b'c = b ' - b - d dy , dz d ds ds ds " dz dy d dsds " dy Curvature and tortu ...
... infinitely small ; and in the same limit . ( 7 ) dz n = ; ds dz c ' - c = d . ( 8 ) ; ds & c . .... ( 9 ) ; dx 1 = m = ds ' dy ds " dx a ' - a = d ds " bc ' - b'c = b ' - b - d dy , dz d ds ds ds " dz dy d dsds " dy Curvature and tortu ...
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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