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of the important application of algebra to geometry. They had not learned the use of logarithms, and were ignorant of fluxions. They had not attained to any just mode for the mensuration of the earth; a matter of great moment to astronomy, navigation, and other branches of useful knowledge. It is scarcely necessary to add, that they were ignorant of the great results which have followed the development of the principle of gravitation.

In the useful and practical arts, many inventions and contrivances, to the production of which the degree of ancient knowledge would appear to us to have been adequate, and which seem quite obvious, are yet of late origin. The application of water, for example, to turn a mill, is a thing not known to have been accomplished at all in Greece, and is not supposed to have been attempted at Rome till in or near the age of Augustus. The production of the same effect by wind is a still later invention. It dates only in the seventh century of our era. The propulsion of the saw by any other power than that of the arm is treated as a novelty in England, so late as in the middle of the sixteenth century. The Bishop of Ely, at that time ambassador from the queen of England to the pope, says, "he saw, at Lyons, a sawmill driven with an upright wheel, and the water that makes it go is gathered whole into a narrow trough, which delivereth the same water to the wheels. This wheel hath a piece of timber put to the axletree end, like the handle of a brock (a hand-organ,) and fastened to the end of the saw, which being turned with the force of water, hoisteth up and down the saw, that it continually eateth in, and the handle of the same is kept in a rigall of wood, from swerving. Also the timber lieth, as it were, upon a ladder, which is brought by little and little to the saw with another vice." From this description of the primitive power-saw, it would seem that it was probably fast only at one end, and that the brock and rigall performed the part of the arm in the common use of the handsaw.

It must always have been a very considerable object for men to possess or obtain the power of rasing water otherwise than by mere manual labor. Yet nothing like the common suctionpump has been found among rude nations. It has arrived at its present state only by slow and doubtful steps of improve ment; and, indeed, in that present state, however obvious and unattractive, it is something of an abstruse and refined invention. It was unknown in China, until Europeans visited the "Celestial Empire;" and is still unknown in other parts of Asia, beyond the pale of European settlements or the reach of European communication. The Greeks and Romans are sup posed to have been ignorant of it, in the early times of their history; and it is usually said to have come from Alexandria, where physical science was much cultivated by the Greek school, under the patronage of the Ptolemies.

These few and scattered historical notices, gentlemen, of important inventions, have been introduced only for the purpose of suggesting that there is much which is both curious and in structive in the history of mechanics; and that many things which to us, in our state of knowledge, seem so obvious as that we should think they would at once force themselves on men's adoption, have, nevertheless, been accomplished slowly and by painful efforts.

But if the history of the progress of the mechanical arts be interesting, still more so, doubtless, would be the exhibition of their present state, and a full display of the extent to which they are now carried. This field is much too wide even to be entered on this occasion. The briefest outline even would exceed its limits; and the whole subject will regularly fall to hands much more able to sustain it. The slightest glance, however, must convince us that mechanical power and mechanical skill, as they are now exhibited in Europe and America, mark an epoch in human history worthy of all admiration. Machinery is made to perform what has formerly been the toil of human

hands, to an extent that astonishes the most sanguine, with a degree of power to which no number of human arms is equal, and with such precision and exactness as almost to suggest the notion of reason and intelligence in the machines themselves. Every natural agent is put unrelentingly to the task. The winds work, the waters work, the elasticity of metals works; gravity is solicited into a thousand new forms of action; levers are multiplied upon levers; wheels revolve on the peripheries of other wheels; the saw and the plane are tortured into an ac commodation to new uses, and, last of all, with inimitable power, and "with whirlwind sound," comes the potent agency of steam. In comparison with the past, what centuries of improvement has this single agent comprised, in the short compass of fifty years! Everywhere practicable, every where efficient, it has an arm a thousand times stronger than that of Hercules, and to which human ingenuity is capable of fitting a thousand times as many hands as belonged to Briareus. Steam is found in triumphant operation on the seas; and under the influence of its strong propulsion, the gallant ship,

"Against the wind, against the tide,
Still steadies, with an upright keel."

It is on the rivers, and the boatman may repose on his oars; it is on highways, and begins to exert itself along the courses of land conveyance; it is at the bottom of mines, a thousand feet below the earth's surface; it is in the mill, and in the workshops of the trades. It rows, it pumps, it excavates, it carries, it draws, it lifts, it hammers, it spins, it weaves, it prints. It seems to say to men, at least to the class of artisans, "Leave off your manual labor; give over your bodily toil; bestow but your skill and reason to the directing of my power, and I will bear the toil-with no muscle to grow weary, no nerve to relax, no breast to feel faintness." What further improvements still be made in the use of this astonishing power, it is may

impossible to know, and it were vain to conjecture. What we do know is, that it has most essentially altered the face of affairs, and that no visible limit yet appears, beyond which its progress is seen to be impossible. If its power were now to be annihilated, if we were to miss it on the water and in the mills, it would seem as if we were going back to rude ages.

This society, then, gentlemen, is instituted for the purpose of further and further applying science to the arts, at a time when there is much of science to be applied. Philosophy and the mathematics have attained to high degrees, and still stretch their wings like the eagle. Chemistry, at the same time, acting in another direction, has made equally important discov. eries, capable of a direct application to the purposes of life. Here, again, within so short a period as the lives of some of us, almost all that is known has been learned. And while there is this aggregate of science, already vast, but still rapidly increasing, offering itself to the ingenuity of mechanical contrivance, there is a corresponding demand for every work and invention of art, produced by the wants of a rich, an enterprising, and an elegant age. Associations like this, therefore, have materials to work upon, ends to work for, and encouragment to work.

It may not be improper to suggest, that not only are the general circumstances of the age favorable to such institutions as this, but that there seems a high degree of propriety that one or more should be established here, in the metropolis of New England. In no other part of the country is there so great a concentration of mechanical operations. Events have given to New England the lead in the great business of domestic manufactures. Her thickened population, her energetic free labor, her abundant falls of water, and various other causes, have led her citizens to embark, with great boldness, in extensive manufactures. The success of their establishments depends, of

course, in no small degree, upon the perfection to which machinery may be carried. Improvement in this, therefore, instead of being left to chance or accident, is justly regarded as a fit subject of assiduous study. The attention of our community is also, at the present moment, strongly attracted toward the construction of canals, railways, dry docks, and other important public works. Civil engineering is becoming a profession, of fering honorable support and creditable distinction to such as may qualify themselves to discharge its duties. Another interesting fact is before us. New taste and a new excitement are evidently springing up in our vicinity in regard to an art, which, as it unites in a singular degree utility and beauty, af fords inviting encouragements to genius and skill. I mean architecture. Architecture is military, naval, sacred, civil, or domestic. Naval architecture, certainly, is of the highest importance to a commercial and navigating people, to say nothing of its intimate and essential connection with the means of national defense. This science should not be regarded as having already reached its utmost perfection. It seems to have been some time in a course of rapid advancement. The building, the rigging, the navigating of ships, have, to every one's conviction, been subjects of great improvement within the last fifteen years. And where, rather than in New England, may still further improvements be looked for? Where is shipbuilding either a greater business, or pursued with more skill and eagerness.

Iu civil, sacred, and domestic architecture, present appearances authorize the strongest hopes of improvement. These hopes rest, among other things, on unambiguous indications of the growing prevalence of a just taste. The principles of architecture are founded in nature, or good sense, as much as the principles of epic poetry. The art constitutes a beautiful medium between what belongs to mere fancy and what belongs entirely to the exact sciences. In its forms and modifications it admits

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