Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page x
... Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of Curve on Curve - Cycloids and Trochoids - Properties of the Cycloid - Epicycloid , Hy- pocycloids , etc. Motion of a Rigid ...
... Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of Curve on Curve - Cycloids and Trochoids - Properties of the Cycloid - Epicycloid , Hy- pocycloids , etc. Motion of a Rigid ...
Page xi
... Axes of a Strain - Elongation and Change of Direction of any Line of the Body - Change of Plane in the Body- Conical Surface of equal elongation - Two Planes of no distortion , being the Circular Sections of the Strain Ellip- soid ...
... Axes of a Strain - Elongation and Change of Direction of any Line of the Body - Change of Plane in the Body- Conical Surface of equal elongation - Two Planes of no distortion , being the Circular Sections of the Strain Ellip- soid ...
Page xiii
... Axes of Inertia - Principal Axes- Binet's Theorem - Central Ellipsoid - Kinetic Symmetry round a Point ; round an Axis Energy in Abstract Dynamics Equilibrium - Principle of Virtual Velocities Neutral Equi- librium - Stable Equilibrium ...
... Axes of Inertia - Principal Axes- Binet's Theorem - Central Ellipsoid - Kinetic Symmetry round a Point ; round an Axis Energy in Abstract Dynamics Equilibrium - Principle of Virtual Velocities Neutral Equi- librium - Stable Equilibrium ...
Page 2
... the differential calculus , But we have do ds ' tan @ = dy dx ' if , the curve being a plane curve , we refer it to two rectangular of a plane axes OX , OY , according to 2 [ 3 . PRELIMINARY . Curvature of a Plane Curve.
... the differential calculus , But we have do ds ' tan @ = dy dx ' if , the curve being a plane curve , we refer it to two rectangular of a plane axes OX , OY , according to 2 [ 3 . PRELIMINARY . Curvature of a Plane Curve.
Page 3
William Thomson Baron Kelvin, Peter Guthrie Tait. of a plane axes OX , OY , according to the Cartesian method , and if 0 denote Curvature the inclination of its tangent , at any point x , y , to OX . Hence curve . 0 = tan- dy ; dx and ...
William Thomson Baron Kelvin, Peter Guthrie Tait. of a plane axes OX , OY , according to the Cartesian method , and if 0 denote Curvature the inclination of its tangent , at any point x , y , to OX . Hence curve . 0 = tan- dy ; dx and ...
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Common terms and phrases
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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