CHAPTER II. Strength of the Passion for Knowledge. Pythagoras; Archimedes; Leibnitz; Galileo; Heyne. THE ardour with which knowledge has frequently been pursued amidst all sorts of difficulties and discouragements, is the best evidence we can offer of the strength of the passion which has sprung up and lived in circumstances so unfavourable to its growth, and therefore of the exquisite pleasure which its gratification is found to bring with it. If the permanence of any pleasure, indeed, is to be looked upon as one of the proofs of its value, there are certainly none but those of virtue and religion that can be compared with the pleasures of intellectual exertion. Nor is successful study without its moments, too, of as keen and overpowering emotion, as any other species of human enjoyment is capable of yielding. We have already seen how Newton was affected on approaching the completion of his sublime discovery; when the truth shone full upon him, and not a shade remained to create a doubt that it was indeed the truth which he had found and upon which he was gazing. Every other discoverer, or inventor, or creator of any of the great works of literature or art, has had, doubtless, his moments of similar ecstacy. The ancient Greek philosopher PYTHAGORAS is said to have been the first who found out, or at least demonstrated, the great geometrical truth, that the square described on the hypothenuse, or side opposite to the right angle of a right-angled triangle, is exactly equal in area to the two squares described on the other two sides; and such was his joy, we are told, on the occasion, that he offered up a hecatomb, or sacrifice of a hundred oxen, to the gods, in testimony of his gratitude and exultation. When ARCHIMEDES, the most celebrated geometer of antiquity, discovered the method of ascertaining the specific gravities of different substances, or the comparative weights of equal bulks of each, he is said to have rushed forth naked from the bath in which he chanced to be when the idea suggested itself to him, and to have run about in that state through the streets of Syracuse, exclaiming, I have found it, I have found it! And no better example, by the way, can be given than is afforded by this anecdote, of the manner in which the most common and apparently insignificant fact will sometimes yield to the contemplation of genius the richest produce of philosophy. We extract an account of the circumstance from the Treatise on Hydrostatics, in the Library of Useful Knowledge: The proposition which forms the foundation of this branch of Hydrostatics, that a solid plunged in a fluid displaces a quantity of the fluid equal to its bulk, was discovered by Archimedes, one of the greatest mathematicians of ancient times, in consequence of Hiero, king of Syracuse, his friend and patron, and himself an eminent philosopher, and, it needs hardly be added, a virtuous and patriotic prince, having set him a problem to solve upon the adulteration of metals. Hiero had given a certain quantity of gold to an artist to make into a crown, and suspecting, from the lightness of the crown, that some silver had been used in making it, he begged Archimedes to investigate the matter. It is said that while this great man was intent upon the question, he chanced to observe, in bathing, the water which ran over the sides of the bath; and immediately perceiving that, as the water was equal to the bulk of his body, this would furnish him with the means of detecting the adulteration, by trying how much water a certain weight of silver displaced, how much a certain weight of gold, and how much a certain mixture of the two, he rushed out of the chamber, exclaiming, I have found it! I have found it!" The illustrious LEIBNITZ, when only in his sixteenth year, conceived the brilliant idea of reducing the elements of thought to a species of alphabet, which should consist of the representatives or characters, as it were, of all our simplest ideas, and serve to express distinctly their different combinations, just as the sounds of speech are expressed by the common letters. Without attempting to maintain the practicability of this notion, it is impossible to deny that it evidenced great subtilty and originality of mind in the young metaphysician: and we can well conceive the delight with which such a conception must have been contemplated by a spirit like his, ardent in the pursuit both of knowledge and of distinction; and beholding, as it were, in this dazzling speculation a new and untraversed continent of thought, wherein it might spend its first strength, and raise for itself immortal trophies. In a production, written many years after-his paper on a universal language-Leibnitz himself describes to us what he calls the infantine joy which this idea brought with it, when it first suggested itself to him, filling his mind, as it did, with the hope of the great discoveries to which it promised to conduct him; and although, in the multiplicity of his subsequent pursuits, he had never been able to accomplish the high enterprise which he had so early planned, he declares that the deeper he had carried his reflections and inquiries, he had only become the more convinced of its practicability. Such allurement is there even in the veiled countenance of a new truth! But beyond all, perhaps, that a discoverer ever felt, must have been the surprise and delight of Galileo, when, having turned for the first time to the heavens, the wonderful instrument which his own ingenuity had invented, he beheld that crowd of splendours which had never before revealed themselves to the eye, nor even been dreamed of by the imagination of man. While Ga lileo resided at Venice, a report was brought to that city, that a Dutchman had presented to Count Maurice of Nassau an instrument, by means of which distant objects were made to appear as if they were near; and this was all that the rumour stated. But it was enough for Galileo. The philosopher immediately set himself to work to find out by what means the thing must have been effected; and in the course of a few hours satisfied himself that, by a certain arrangement of spherical glasses, he could repeat the new miracle. In the course of two or three days he presented several telescopes to the Senate of Venice, accompanied with a memoir on the immense importance of the instrument to science, and especially to astronomy. He afterwards greatly improved his invention; and brought it to such a state of perfection, that he was in a condition to commence, by means of it, the examination of the heavens. It was then that, to his unutterable astonishment, he saw, as a celebrated French astronomer has expressed it, "what no mortal before that moment had seen-the surface of the moon, like another earth, ridged by high mountains, and furrowed by deep vallies--Venus, as well as it, presenting phases demonstrative of a spherical form; Jupiter surrounded by four satellites, which accompanied him in his orbit; the milkyway; the nebulæ ; finally, the whole heaven sown over with an infinite multitude of stars, too small to be discerned by the naked eye*." Milton, who had seen Galileo, described, "Life of Galileo, by Biot," in the Biographie Universelle. nearly half a century after the invention, some of the wonders thus laid open by the telescope: "The moon, whose orb, Through optic glass, the Tuscan artist views A few days were spent by Galileo in rapidly reviewing the successive wonders that presented themselves to him; and then he proceeded to announce his discoveries to the world by the publication of a paper, which he entitled the Nuncius Sidereus or Herald of the Heavens, which he continued from time to time, as he found new objects to describe. From this period the examination of the heavens became the sole object of Galileo's thoughts, and the occupation of his life. He wrote, he talked of nothing else. Every mind which is yet a stranger to science, is, in some respects, in the same situation with that of Galileo, before he turned his telescope to the heavens; and such a mind has a world of wonders to learn, many of which are as extraordinary as those which then revealed themselves to the philosopher. It has, in fact, to behold all that he beheld;-not certainly, like him, for the first time that any one of the human race had been admitted to that high privilege, but yet for the first time, too, in so far as itself alone is concerned. The consciousness of discovery was Galileo's alone; the novelty and sublimity of the sight remain the same for all by whom it has been yet unenjoyed. And so it is with every other sort of knowledge. Although it may have been in reality discovered for the first time a thousand years ago, it remains as new a pleasure as if it had only been found out yesterday, for him who has not yet acquired it. Such pleasures, in |