the Velocities generating in the two firſt Moments, from the exceſs of the Velocity in the third above that in the ſecond Moment, we obtain the third Fluxion. And after the ſame Analogy we may proceed to fourth, fifth, fixth Fluxions, &c. And if we call the Velocities of the firſt, ſecond, third, fourth Moments a, b, c, d, the Series of Fluxions will be as above, a. b - a. c - 2b + a. d - 3c + 3b - a. ad infinitum, i. e. ad infinitum.
XLIV. Thus Fluxions may be conſidered in ſundry Lights and Shapes, which ſeem all equally difficult to conceive. And indeed, as it is impoſſible to conceive Velocity without time or ſpace, without either finite length or finite Duration[1], it muſt ſeem above the powers of Men to comprehend even the firſt Fluxions. And if the firſt are incomprehenſible, what ſhall we ſay of the ſecond and third Fluxions, &c? He who can conceive the beginning of a beginning, or the end of an end, ſomewhat before the firſt or after
