Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
From inside the book
Results 1-5 of 81
Page 1
... becomes zero at the angle . It is useful to consider at the outset various theorems connected VOL . I. 1 point . Motion of a with the geometrical notion of Velocity Resolution of Velocity Composition of Velocities Acceleration ...
... becomes zero at the angle . It is useful to consider at the outset various theorems connected VOL . I. 1 point . Motion of a with the geometrical notion of Velocity Resolution of Velocity Composition of Velocities Acceleration ...
Page 6
... become the direction cosines of the normal , PC , drawn towards the centre of curvature , C ; and λ , μ , v those of ... becomes 1 = P ds d's dxdx + dyd3y + dzdz = √ { ( d3x ) 2 + ( d3y ) 2 + ( d3z ) 3 — ( d3s ) ' } ds ......... ( 13 ) ...
... become the direction cosines of the normal , PC , drawn towards the centre of curvature , C ; and λ , μ , v those of ... becomes 1 = P ds d's dxdx + dyd3y + dzdz = √ { ( d3x ) 2 + ( d3y ) 2 + ( d3z ) 3 — ( d3s ) ' } ds ......... ( 13 ) ...
Page 13
... become more and more nearly equal , and in the limit , each is equal to the velocity at time t . Hence v = ds dt ' of velocity . 25. The preceding definition of velocity is equally applica- Resolution ble whether the point move in a ...
... become more and more nearly equal , and in the limit , each is equal to the velocity at time t . Hence v = ds dt ' of velocity . 25. The preceding definition of velocity is equally applica- Resolution ble whether the point move in a ...
Page 34
... the relative position and motion of the pursuer with regard to the pursued , we must impress on both a velocity equal and opposite to that of the latter , we see motion . at once that the problem becomes the same 34 [ 46 . PRELIMINARY .
... the relative position and motion of the pursuer with regard to the pursued , we must impress on both a velocity equal and opposite to that of the latter , we see motion . at once that the problem becomes the same 34 [ 46 . PRELIMINARY .
Page 35
... becomes the same as the following . A Relative boat crossing a stream is impelled by the oars with uniform velocity relatively to the water , and always towards a fixed point in the opposite bank ; but it is also carried down stream at ...
... becomes the same as the following . A Relative boat crossing a stream is impelled by the oars with uniform velocity relatively to the water , and always towards a fixed point in the opposite bank ; but it is also carried down stream at ...
Contents
251 | |
264 | |
271 | |
282 | |
307 | |
338 | |
340 | |
354 | |
98 | |
104 | |
114 | |
128 | |
148 | |
154 | |
160 | |
167 | |
219 | |
233 | |
250 | |
361 | |
366 | |
384 | |
428 | |
440 | |
444 | |
454 | |
479 | |
490 | |
498 | |
Other editions - View all
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
Popular passages
Page 510 - The Missing Fragment of the Latin Translation of the Fourth Book of Ezra, discovered, and edited with an Introduction and Notes, and a facsimile of the MS., by ROBERT L. BENSLY, MA, Sub-Librarian of the University Library, and Reader in Hebrew, Gonville and Caius College, Cambridge.
Page 509 - The Pointed Prayer Book, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches.