Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xi
... 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 - Distortion in Parallel ...
... 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 - Distortion in Parallel ...
Page 38
... elongation in the direction reckoned as positive , from its mean position or the middle of its range . Epoch in angular measure is the angle described on the circle of reference in the period of time defined as the epoch . harmonic The ...
... elongation in the direction reckoned as positive , from its mean position or the middle of its range . Epoch in angular measure is the angle described on the circle of reference in the period of time defined as the epoch . harmonic The ...
Page 112
... elongation , which will be contraction in the case in which e or e ' is < 1 ) in the other . " Elastic finish " of muslin goods . 143. The flexure of a surface fulfilling any case of the geometrical condition just stated , presents an ...
... elongation , which will be contraction in the case in which e or e ' is < 1 ) in the other . " Elastic finish " of muslin goods . 143. The flexure of a surface fulfilling any case of the geometrical condition just stated , presents an ...
Page 117
... elongation of the body along any line is the proportion which the addition to the distance between any two points in that line bears to their primitive distance . 159. Every orthogonal projection of an ellipse is an ellipse ( the case ...
... elongation of the body along any line is the proportion which the addition to the distance between any two points in that line bears to their primitive distance . 159. Every orthogonal projection of an ellipse is an ellipse ( the case ...
Page 118
... elongation is greater , and along another less , than along any other direction in the body . Along the remaining one , the elongation is less than in any other line in the plane of itself and the first mentioned , and greater than ...
... elongation is greater , and along another less , than along any other direction in the body . Along the remaining one , the elongation is less than in any other line in the plane of itself and the first mentioned , and greater than ...
Contents
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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.