But, inasmuch as astronomy forms a part of mathematical science, more especially of those branches of it, which, under the denomination of mixed and practical mathematics, are intimately and inseparably interwoven, every where, with physical considerations, the reader will, it is presumed, be gratified by a perusal of the following admirable description of the Uses of Mathematics, extracted from the great Dr. Barrow’s _Prefatory Oration_,[46] upon his admission into the Professorship, at Cambridge. Indeed, in writing the Life of a man so eminently skilled as Dr. Rittenhouse was, in the several departments or various branches of natural philosophy, it seems proper and useful to exhibit to the reader such views as have been furnished by men of renowned erudition, of the nature and importance of that complicated, that widely-extended science, in the cultivation of which our philosopher held so exalted a rank. ----- Footnote 46: Translated from the Latin. ----- Dr. Barrow[47] thus eulogizes the Mathematics—a science “which depends upon principles clear to the mind, and agreeable to experience; which draws certain conclusions, instructs by profitable rules, unfolds pleasant questions, and produces wonderful effects: which is the fruitful parent of—I had almost said—all arts, the unshaken foundation of sciences, and the plentiful fountain of advantage to human affairs: In which last respect we may be said to receive from mathematics the principal delights of life, securities of health, increase of fortune and conveniences of labour: That we dwell elegantly and commodiously, build decent houses for ourselves, erect stately temples to God, and leave wonderful monuments to posterity: That we are protected by those rampires from the incursions of an enemy, rightly use arms, artfully manage war, and skilfully range an army: That we have safe traffic through the deceitful billows, pass in a direct road through the trackless ways of the sea, and arrive at the designed ports by the uncertain impulse of the winds: That we rightly cast up our accounts, do business expeditiously, dispose, tabulate, and calculate scattered ranks of numbers, and easily compute them, though expressive of huge heaps of sand, nay immense hills of atoms: That we make pacific separations of the bounds of lands, examine the momentums of weights in an equal balance, and are enabled to distribute to every one his own by a just measure: That, with a light touch, we thrust forward bodies, which way we will, and step a huge resistance with a very small force: That we accurately delineate the face of this earthly orb, and subject the economy of the universe to our sight: That we aptly digest the flowing series of time; distinguish what is acted, by due intervals; rightly account and discern the various returns of the seasons; the stated periods of the years and months, the alternate increasements of days and nights, the doubtful limits of light and shadow, and the exact