...diffufive form. no. FOR this purpofe, we fhall in the firft place define an ultimate magnitude to be the limit, to which a varying magnitude can approach within any degree of nearnefs whatever, though it can never be made abfolutely equal to it. > . in. THUS the circle difcourfed...

...parva'V Tacquet Eiem. Geom.*} Lib. XII , nobis VIII. -_ — \Ve shall define an vltimate magnitude to be ,,the limit, to which a varying magnitude can approach ,,within any degree of nearness wbatever, though it can ,,never be made absolutely eqnal toit." RobinsUiscour»se of Fluxions &c. **)...

...lays the foundation of the calculus upon the concept of a limit. He speaks of a limit as a magnitude "to which a varying magnitude can approach within...though it can never be made absolutely equal to it." Here for the first time is the stand taken openly, clearly, explicitly, that a variable can never reach...

...general propositions annexed to them : 1. Definition : "... we ... define an ultimate magnitude to be the limit, to which a varying magnitude can approach...though it can never be made absolutely equal to it." Here for the first time is the stand taken openly, clearly, explicitly, that a variable (say the perimeter...

...53) den Begriff der .letzten Größe'. II <• . . . deßne an ultimate magnitude to be the li1nit. to which a varying magnitude can approach within any degree of nearness u'hatever, though it can never be made absolutely equal to it.1 1 Auch diese für ihre Zeit erhebliche...

...fluxions and prime and ultimate ratios. He defined a limit thus: "We define an ultimate magnitude to be a limit, to which a varying magnitude can approach within...though it can never be made absolutely equal to it." Fluxions he considered to be the right iden, and prime and ultimate ratios as only an explanation....

...term "ultimate magnitude." It reads: We shall in the first place define an ultimate magnitude to be the limit, to which a varying magnitude can approach...though it can never be made absolutely equal to it. (Robins I735a, 53) We can write x - * B when B is the ultimate magnitude of the varying quantity x....

...never achieved ; his definition was : we shall in the first place define an ultimate magnitude to be the limit, to which a varying magnitude can approach...though it can never be made absolutely equal to it. (Robins (1735), p. 53) While Jurin wrote : By arriving at a limit I understand Sir Isaac Newton to...