Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
From inside the book
Results 1-5 of 86
Page xv
... Equal Roots - Case of Equal Roots and Evanescent Minors - Routh's Theorem - Case of no Motional Forces - Conservative Positional , and no Mo- tional , Forces - Equation of Energy in Realized General Solution Artificial or Ideal ...
... Equal Roots - Case of Equal Roots and Evanescent Minors - Routh's Theorem - Case of no Motional Forces - Conservative Positional , and no Mo- tional , Forces - Equation of Energy in Realized General Solution Artificial or Ideal ...
Page xvi
... equal two and two - Orthogonalities proved between two components of one fundamental oscillation ; and equality of their Energies - Orthogonalities proved be- tween different fundamental oscillations - Case of Equal Periods Completed ...
... equal two and two - Orthogonalities proved between two components of one fundamental oscillation ; and equality of their Energies - Orthogonalities proved be- tween different fundamental oscillations - Case of Equal Periods Completed ...
Page xvii
... equal - If two sides , deviating 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 ...
... equal - If two sides , deviating 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 ...
Page 16
... equal increments in equal times , and is then measured by the actual increase of velocity per unit of time . If we choose as the unit of acceleration that which adds a unit of velocity per unit of time to the velocity of a point , an ...
... equal increments in equal times , and is then measured by the actual increase of velocity per unit of time . If we choose as the unit of acceleration that which adds a unit of velocity per unit of time to the velocity of a point , an ...
Page 18
... equal to the acceleration of the velocity - the other towards the centre of curvature ( perpendicular therefore to the direction of motion ) , whose magnitude is proportional to the square of the velocity and also to the curvature of ...
... equal to the acceleration of the velocity - the other towards the centre of curvature ( perpendicular therefore to the direction of motion ) , whose magnitude is proportional to the square of the velocity and also to the curvature of ...
Contents
| 231 | |
| 250 | |
| 251 | |
| 264 | |
| 271 | |
| 282 | |
| 303 | |
| 340 | |
| 102 | |
| 108 | |
| 114 | |
| 119 | |
| 125 | |
| 128 | |
| 136 | |
| 148 | |
| 154 | |
| 160 | |
| 167 | |
| 219 | |
| 354 | |
| 361 | |
| 366 | |
| 384 | |
| 392 | |
| 428 | |
| 440 | |
| 454 | |
| 479 | |
| 490 | |
| 498 | |
Other editions - View all
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.