A Treatise of Mechanics, Volume 1Longman and Company, 1842 |
Table des matières
| 1 | |
| 2 | |
| 3 | |
| 9 | |
| 16 | |
| 22 | |
| 30 | |
| 35 | |
| 260 | |
| 264 | |
| 265 | |
| 266 | |
| 272 | |
| 278 | |
| 286 | |
| 288 | |
| 36 | |
| 42 | |
| 58 | |
| 66 | |
| 72 | |
| 79 | |
| 85 | |
| 90 | |
| 96 | |
| 104 | |
| 118 | |
| 121 | |
| 124 | |
| 128 | |
| 132 | |
| 147 | |
| 149 | |
| 154 | |
| 157 | |
| 163 | |
| 172 | |
| 179 | |
| 190 | |
| 191 | |
| 197 | |
| 207 | |
| 213 | |
| 242 | |
| 252 | |
| 253 | |
| 256 | |
| 298 | |
| 306 | |
| 312 | |
| 313 | |
| 317 | |
| 319 | |
| 321 | |
| 325 | |
| 337 | |
| 347 | |
| 354 | |
| 361 | |
| 362 | |
| 376 | |
| 377 | |
| 385 | |
| 393 | |
| 413 | |
| 428 | |
| 438 | |
| 458 | |
| 466 | |
| 475 | |
| 478 | |
| 483 | |
| 484 | |
| 514 | |
| 521 | |
| 533 | |
| 549 | |
| 558 | |
Autres éditions - Tout afficher
Expressions et termes fréquents
accelerating force angle applied assumed attraction axes axis centre of gravity centre of parallel centrifugal force circle circular sector components consequently considered constant arbitrary cos² cycloid cypher deduced denote density determined differential distance drawn earth element ellipse ellipsoid entire equal equilibrium expression finite fixed point formula function given curve given forces given surface hence infinitely small quantities instant dt integral let fall lever likewise magnitude and direction manner mass material point means medium motion moveable obtain oscillations osculating circle osculating plane parallel forces parallelopiped pendulum perpendicular plane plane curve point of application positive preceding equations production proportional radius vector rection respect resultant right line sin² solid of revolution stratum substituted supposed tangent theorem three forces tion trajectory triangle vanish velocity vertical volume weight x₁ y₁
Fréquemment cités
Page 253 - This amounts to the same with saying, that, in the case before us, the sine of the angle of incidence is to the sine of the angle of refraction in a given ratio.
Page 36 - ... opposite direction, and it will act in the direction of the greater of these sums. This is the case in which several forces are exerted in the direction of the same cord. The tension of the cord will be the same throughout, and it is not possible to draw its two ends with different efforts. The tension of a cord is the effort by which any two of tension of a cord...
Page 575 - The area of the surface of a sphere is equal to four times the area of a great circle of the sphere.
Page 217 - Newton's second law of motion, and may be enunciated thus:— magnitude and direction by the sides of a parallelogram, the resultant of these two forces will be represented in magnitude and direction by the diagonal of the parallelogram passing through this point.
Page 66 - ... directions of the forces sensibly parallel : whence we must conclude, that the line of direction of the resultant of two parallel forces is in the plane of the forces, is parallel to the direction of the forces, and that the moment of the resultant, taken in reference to any point in the plane of the forces, is equal to the sum or difference of the moments of the components, according as they tend to turn the system in the same or opposite directions about the centre of moments.
Page 387 - Mariners 6 and 7 have been used to obtain values for the ratio of the mass of the earth to that of the moon which are in substantial agreement with those determined from other Mariner and Pioneer spacecraft.
Page 203 - Newton, that the density of this ether diminishes in the inverse ratio of the square of the distance from the sun...
Page 108 - ... we can shew that CG is equal to AG ; therefore BG is equal to AG. Then if we draw a straight line from G to the middle point of AB we can shew that this straight line is at right angles to AB : that is, the line which bisects AB at right angles passes through G. 25.
Page 247 - ... that the angle of incidence is always equal to the angle of reflection. Plato terms colours " the effect of light transmitted from bodies, the small particles of which were adapted to the organ of sight" This seems precisely what sir Isaac Newton teaches in his " Optics,
Page 165 - ... side by side with the ecclesiastical system. A decisive step was taken in 1370 by Charles V of France when he ordered all churches in Paris to ring the hours and quarters according to time by de Vick's clock, and from that time the equal hours became more common. The division of the hour into 60 minutes and of the minute into 60 seconds also came into general use in the 14th century and was fairly common as early as 1345.