The Artizan . space S which the body passes through in the time Ti is onthe figure represented by the rectangular area V Th constituting the ele-ments of space. The body will come to rest when the work of the opposing force F isequal to the work accomplished by the force F, or when J F V T =L^mT T Lefc tile common factor i V be eliminated, and the momentumsi T = F T when the bodv comes to rest. It has before been proved that 2W = FVT=MV2and the momentum F T = M V. Now let the parallelopipedon ah To,Fig 4, represent F V T, which, as be-fore shown, is double the work, whenV = final velocity; the
The Artizan . space S which the body passes through in the time Ti is onthe figure represented by the rectangular area V Th constituting the ele-ments of space. The body will come to rest when the work of the opposing force F isequal to the work accomplished by the force F, or when J F V T =L^mT T Lefc tile common factor i V be eliminated, and the momentumsi T = F T when the bodv comes to rest. It has before been proved that 2W = FVT=MV2and the momentum F T = M V. Now let the parallelopipedon ah To,Fig 4, represent F V T, which, as be-fore shown, is double the work, whenV = final velocity; then the base willrepresent the momentum F T. Con-tinue the line F from o to e; make o e=?? V; complete the rectangle T dedraw the diagonal d o continued toM, eand M being in a straight line;then M represents the magnitude of amass in which is accumulated the work$h V T. Complete the square V2 anddraw on it the figures me pYMwinch then represent the so-called vis-viva M V2, in a moving mass, of which £<-. The Aeiizas, IJuly l, 1365. J Worh and Vis-viva. 151 Vis-viva is the most unfortunate term in dynamics, inasmuch as it doesnot express what it means, neither in substance nor in quantity. There isno more vis-viva in a moving mass than in one at rest. It requires F v tand nothing- else to set a mass in motion; it requires F v t and nothingelse to bring a moving body to rest; and it is Fv t, and nothing else, thatcan change the motion of a body. The sooner the term vis-viva is rejected in its present acceptation, thesooner will the science of dynamics be cleared up. Whatever name maybe selected for the work concentrated in a moving mass, it ought to ex-press the fundamental elementsP V and T. I would propose tocall it energy, but even if the termvis-viva is maintained, it oughtto mean the true work -J- M V-and not M V2. A parallelopipedon constructedon the mean velocity will repre-sent the true work P v t. When the force P is variable,as represented by Fig. 5, the hy-pothenuse
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