This vibration was indefinitely extended, till it gave impulse to every particle of the earth's air, which thenceforward, and for ever, was actuated by the one movement of the hand. This fact the mathematicians of our globe well knew. They made the special effects, indeed, wrought in the fluid by special impulses, the subject of exact calculation—so that it became easy to determine in what precise period an impulse of given extent would engirdle the orb, and impress (for ever) every atom of the atmosphere circumambient. Retrograding, they found no difficulty, from a given effect, under given conditions, in determining the value of the original impulse. Now the mathematicians who saw that the results of any given impulse were absolutely endless—and who saw that a portion of these results were accurately traceable through the agency of algebraic analysis—who saw, too, the facility of the retrogradation—these men saw, at the same time, that this species of analysis itself, had within itself a capacity for indefinite progress—that there were no bounds conceivable to its advancement and applicability, except within the intellect of him who advanced or applied it. But at this point our mathematicians paused.

OINOS. And why, Agathos, should they have proceeded?

AGATHOS. Because there were some considerations of deep interest beyond. It was deducible from what they knew, that to a being of infinite understanding—one to whom the perfection of the algebraic analysis lay unfolded—there could be no difficulty in tracing every impulse given the air—and the ether through the air—to the remotest consequences at any even infinitely remote epoch of time. It is indeed demonstrable that every such impulse given the air, must, in the end, impress every individual thing that exists within the universe;—and the being of infinite understanding—the being whom we have imagined—might trace the remote undulations of the impulse—trace them upward and onward in their influences upon all particles of an matter—upward and onward for ever in their modifications of old forms—or, in other words, in their creation of new—until he found them reflected—unimpressive at last—back from the throne of the Godhead.