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action appears applied axes axis beam body calculated Cauchy chapter coefficients compression conclusions consideration considered constant contains corps curve d'une dans deflection denote determined direction discussion distance elastic élastiques entitled equal equations equilibrium Euler experimental experiments expression fact flexure force formulae function given gives Hence hold hypothesis important integrals interesting iron Lamé later length limit load material means memoir method motion namely nature Navier notice obtained occupies original plane plate Poisson position practical present principal problem produced published refers relation remarks respect Saint-Venant says seems shews solid strain strength stress stretch suppose surface theory torsion traction treated vibrations volume weight
Page 7 - Now the smallest Particles of Matter may cohere by the strongest Attractions, and compose bigger Particles of weaker Virtue; and many of these may cohere and compose bigger Particles whose Virtue is still weaker, and so on for divers Successions, until the Progression end in the biggest Particles on which the Operations in Chymistry, and the Colours of natural Bodies depend, and which by cohering compose Bodies of a sensible Magnitude.
Page 591 - ... ses particules nagent en quelque sorte au milieu d'un fluide. Si ce fluide n'est pas la cause unique de tous les faits observables, il doit au moins les modifier, les propager, compliquer leurs lois. Il n'est donc plus possible d.arriver à une explication rationnelle et complète des phénomènes de la nature physique sans faire intervenir cet agent dont la présence est inévitable. On n'en saurait douter, cette intervention, sagement conduite, trouvera le secret ou la véritable cause des...
Page 6 - The parts of all homogeneal hard bodies which fully touch one another stick together very strongly. And for explaining how this may be, some have invented hooked atoms/ which is begging the question...
Page 6 - For it is well known that bodies act one upon another by the attractions of gravity, magnetism, and electricity; and these instances show the tenor and course of nature, and make it not improbable but that there may be more attractive powers than these. For Nature is very consonant and conformable to herself.
Page 7 - And thus Nature will be very conformable to her self and very simple, performing all the great Motions of the heavenly Bodies by the Attraction of Gravity which intercedes those Bodies, and almost all the small ones of their Particles by some other attractive and repelling Powers which intercede the Particles.
Page 770 - ... and the crushing weight was applied in the direction of the strata. From the experiments on the two series of pillars it appears that there is a falling off in strength in all columns from the shortest to the longest; but that the diminution is so small, when the height of the column is not greater than about...
Page 8 - Fermentation, and the Cohesion of Bodies. These Principles I consider not as occult Qualities, supposed to result from the specifick Forms of Things, but as general Laws of Nature by which the Things themselves are formed; their Truth appearing to us by Phenomena, though their Causes be not yet discovered. For these are manifest qualities and their Causes only are occult.
Page 75 - The modulus of the elasticity of any substance is a column of the same substance, capable of producing a pressure on its base which is to the weight causing a certain degree of compression, as the length of the substance is to the diminution of its length.
Page 7 - And how such very hard Particles which are only laid together and touch only in a few Points, can stick together, and that so firmly as they do, without the assistance of something which causes them to be attracted or press'd towards one another, is very difficult to conceive.
Page 619 - Mais quand il aura transformé et complété toutes lea solutions de la Mécanique céleste, il faudra s'occuper sérieusement de la Physique mathématique, ou de la Mécanique terrestre. Alors viendra nécessairement le règne des coordonnées curvilignes quelconques, qui pourront seules aborder les nouvelles questions dans toute leur généralité. Oui, cette époque définitive arrivera, mais bien tard : ceux qui les premiers, ont signalé ces nouveaux instruments, n'existeront plus et seront...