Part 13

Here, perhaps, might be rested the evidence of the all-important usefulness of that branch of knowledge, in which our American Philosopher was pre-eminently distinguished.

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, 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.

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Footnote 46:

Translated from the Latin.

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Dr. Barrow 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 difference of hours and minutes: That we derive the solar virtue of the sun’s rays to our uses, infinitely extend the sphere of light, enlarge the near appearances of objects, bring remote objects near, discover hidden things, trace nature out of her concealments, and unfold her dark mysteries: That we delight our eyes with beautiful images, cunningly imitate the devices and portray the works of nature; imitate, did I say? nay excel; while we form to ourselves things not in being, exhibit things absent, and represent things past: That we recreate our minds, and delight our ears, with melodious sounds; attemperate the inconstant undulations of the air to musical tones; add a pleasant voice to a sapless log; and draw a sweet eloquence from a rigid metal; celebrate our Maker with an harmonious praise, and not unaptly imitate the blessed choirs of heaven: That we approach and examine the inaccessible seats of the clouds, distant tracts of land, unfrequented paths of the sea; lofty tops of mountains, low bottoms of vallies, and deep gulphs of the ocean: That we scale the ethereal towers; freely range through the celestial fields; measure the magnitudes and determine the interstices of the stars; prescribe inviolable laws to the heavens themselves, and contain the wandering circuit of the stars within strict bounds: Lastly, that we comprehend the huge fabric of the universe; admire and contemplate the wonderful beauty of the divine workmanship, and so learn the incredible force and sagacity of our own minds by certain experiments, as to acknowledge the blessings of heaven with a pious affection.”

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Footnote 47:

This very eminent mathematician, as well as learned and pious divine, died in the year 1677, aged only forty-seven years. See the life of this extraordinary man, written in 1683, by the learned Abraham Hill; prefixed to the first volume of the doctor’s theological works; a fifth edition of which, in three folio volumes, was published by archbishop Tillotson, in 1741. He also wrote and published many geometrical and mathematical works, all in Latin.

“The name of Dr. Barrow,” says Mr. Granger, one of his biographers, “will ever be illustrious, for a strength of mind and a compass of knowledge that did honour to his country. He was unrivalled in mathematical learning, and especially in the sublime geometry, in which he was excelled only by one man; and that man was his pupil, the great Sir Isaac Newton. The same genius that seemed to be born only to bring hidden things to light, to rise to the heights or descend to the depths of science, would sometimes amuse itself in the flowery paths of poetry, and he composed verses both in Greek and Latin.”

This “prodigy of learning,” as he is called by Mr. Granger, was interred in Westminster Abbey, where a monument, adorned with his bust, is erected to his memory.

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The honours that have been rendered to celebrated men in almost every age of the world, and by all nations concerning which we have any historical memorials, are noticed by numberless writers, both ancient and modern. The cultivation of astronomical science had, doubtless, its origin in the remotest ages of antiquity, through the Chaldeans, the Egyptians, the Phœnicians and Greeks, the Arabs, and the Chinese. But the Indians of the western hemisphere appear to have had little knowledge of astronomy, at the time of Columbus’s discovery, yet they were not inattentive to its objects: for Acosta tells us, that the Peruvians observed the equinoxes, by means of columns erected before the temple of the sun at Cusco, and by a circle traced around it. Condamine likewise relates, that the Indians on the river of the Amazons gave to the Hyades, as we do, the name of the Bull’s-head; and Father Lasitau says, that the Iroquois called the same stars the Bear, to which we give that name; and designated the Polar star by the appellation of the immoveable star. Captain Cook informs us, that the inhabitants of Taiti, in like manner, distinguish the different stars; and know in what part of the heavens they will appear, for each month in the year; their year consisting of thirteen lunar months, each being twenty-nine days.

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Footnote 48:

Flavius Josephus informs us, (in his Jewish Antiquities, b. i. chap. 7. 8.) that the sons of Seth employed themselves in astronomical contemplations. According to the same historian, Abraham inferred the unity and power of God, from the orderly course of things both at sea and land, in their times and seasons, and from his observations upon the motions and influences of the sun, moon and stars. He further relates, that this patriarch delivered lectures on geometry and arithmetic to the Egyptians, of which they understood nothing, until Abraham introduced those sciences from Chaldea into Egypt, from whence they passed into Greece: and, according to Eupolemus and Artapan, he instructed the Phœnicians, as well as the Egyptians, in astronomy.

Footnote 49:

We are informed by some ancient writers, that when Babylon was taken, Calisthenes, one of Aristotle’s scholars, carried from thence, by the desire of his master, celestial observations made by the Chaldeans, nearly two thousand years old; which carried them back to about the time of the dispersion of mankind by the confusion of tongues: and those observations are supposed to have been made in the famous temple of Belus, at Babylon. But these accounts are not to be depended on: because Hipparchus and Ptolemy could find no traces of any observations made at Babylon before the time of Nabonassar, who began his reign 747 years before the birth of Christ; and various writers, among the ancients, agree in referring the earliest Babylonian observations to about the same period. In all probability, the Chaldean observations were then little more than matters of curiosity; for, even in the three or four centuries immediately preceding the Christian era, the celestial observations which were made by the Greeks were, for the most part, far from being of any importance, in relation to astronomical science.

Indeed, the knowledge of astronomy at much later periods than those in which the most celebrated philosophers of Greece flourished, must have been very limited and erroneous, on account of the defectiveness of their instruments. And, added to the great disadvantages arising from this cause, the ancients laboured under the want of a knowledge of the telescope and the clock; and also maintained a false notion of the system of the world; which was almost universally adhered to, until the revival and improvement of the Pythagorean system by Copernicus, who died in 1543. Within the last two hundred years, but, particularly, since the laws of nature have been made manifest by the labours and discoveries of the immortal NEWTON, the science of astronomy has made astonishing advances towards perfection.

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Astronomy has been patronised by many great princes and sovereign states. Lalande observes, that, about the year 1230, the Emperor Frederick II. prepared the way for the renewal of the sciences among the moderns, and professed himself to be their protector. His reign, according to the great French astronomer just mentioned, forms the first epocha of the revival of astronomy in Europe.

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Footnote 50:

This sovereign re-established the university of Naples, founded that of Vienna in Austria, in the year 1237, and imparted new vigour to the schools of Bologna and Salerno. He caused many ancient works in medicine and philosophy to be translated from the Arabian tongue; particularly, the Almagest of Ptolemy.

Cotemporary with the Emperor Frederick II. was Alphonso X. King of Castile, surnamed the Wise. This prince was the first who manifested a desire of correcting the Tables of Ptolemy. In the year 1240, even during the life of his father, he drew to Toledo the most experienced astronomers of his time, Christians, Moors, or Jews; by whose labours he at length obtained the Alphonsine Tables, in 1252 (the first year of his reign:) which were first printed at Venice, in 1483. He died in the year 1284.

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Coeval with that sovereign, was Johannes de Sacro-Bosco, a famous English ecclesiastic, who was the first astronomical writer that acquired celebrity in the thirteenth century. Very nearly about the same time, appeared also that prodigy of genius and learning, Friar Bacon: and from that period, down to our own day, there has been a succession of illustrious philosophers: whose names have justly been renowned, for the benefits they have conferred on mankind; names which reflect honour on the countries to which they respectively belong. Many of those benefactors of the world were honoured with marks of high distinction, by their sovereigns and cotemporaries; and their fame will descend to the latest posterity.