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A person who had heard of these efforts of memory, once meeting with him accidentally, proposed the following question, in order to try his calculating powers. If a field be 423 yards long, and 383 broad, what is the area? After the figures were read to him distinctly, he gave the true product, 162,009 yards, in the s.p.a.ce of two minutes; for the proposer observed by the watch, how long it took him. The same person asked how many acres the said field measured; and in eleven minutes, he replied, 33 acres, 1 rood, 35 perches, 20 yards and a quarter. He was then asked how many barley-corns would reach eight miles. In a minute and a half, he answered 1,520,640. The next question was: supposing the distance between London and York to be 204 miles, how many times will a coach-wheel turn round in that s.p.a.ce, allowing the circ.u.mference of that wheel to be six yards. In thirteen minutes, he answered, 59,840 times.
On another occasion a person proposed to him this question: in a body, the three sides of which are 23,145,789 yards, 5,642,732 yards, and 54,965 yards, how many cubic eighths of an inch? In about five hours Jedediah had accurately solved this intricate problem, though in the midst of business, and surrounded by more than a hundred laborers.
Next to figures, the only objects of Jedediah's curiosity were the king and royal family. So strong was his desire to see them, that in the beginning of the spring of 1754, he walked up to London for that purpose, but returned disappointed, as his majesty had removed to Kensington just as he arrived in town. He was, however, introduced to the Royal Society, whom he called the _Folk of the Siety Court_. The gentlemen present asked him several questions in arithmetic to try his abilities, and dismissed him with a handsome present.
During his residence in the metropolis, he was taken to see the tragedy of King Richard the Third, performed at Drury Lane, Garrick being one of the actors. It was expected that the novelty of everything in that place, together with the splendor of the surrounding objects, would have filled him with astonishment; or that his pa.s.sions would have been roused in some degree, by the action of the performers, even though he might not fully comprehend the dialogue. This, certainly, was a rational idea; but his thoughts were far otherwise employed. During the dances, his attention was engaged in reckoning the number of steps; after a fine piece of music, he declared that the innumerable sounds produced by the instruments perplexed him beyond measure, but he counted the words uttered by Mr. Garrick, in the whole course of the entertainment; and declared that in this part of the business, he had perfectly succeeded.
Heir to no fortune, and educated to no particular profession, Jedediah Buxton supported himself by the labor of his hands. His talents, had they been properly cultivated, might have qualified him for acting a distinguished part on the theatre of life; he, nevertheless, pursued the "noiseless tenor of his way," content if he could satisfy the wants of nature, and procure a daily subsistence for himself and family. He was married and had several children. He died in the year 1775, aged seventy years. Though a man of wonderful powers of arithmetical calculation, and generally regarded as a prodigy in his way--it is still obvious that, after the practice of years, he was incapable of solving questions, which Zerah Colburn, at the age of six or seven years, answered in the s.p.a.ce of a few seconds.
[Ill.u.s.tration]
WILLIAM GIBSON.
William Gibson was born in the year 1720, at the village of Bolton, in Westmoreland, England. On the death of his father, he put himself to a farmer to learn his business. When he was about eighteen or nineteen, he rented a small farm of his own, at a place called Hollins, where he applied himself a.s.siduously to study.
A short time previous to this, he had admired the operation of figures, but labored under every disadvantage, for want of education. As he had not yet been taught to read, he got a few lessons in English, and was soon enabled to comprehend a plain author. He then purchased a treatise on arithmetic; and though he could not write, he soon became so expert a calculator, from mental operations only, that he could tell, without setting down a figure, the product of any two numbers multiplied together, although the multiplier and the multiplicand each of them consisted of nine figures. It was equally astonis.h.i.+ng that he could answer, in the same manner, questions in division, in decimal fractions, or in the extraction of the square or cube roots, where such a multiplicity of figures is often required in the operation. Yet at this time he did not know that any merit was due to himself, conceiving that the capacity of other people was like his own.
Finding himself still laboring under farther difficulties for want of a knowledge of writing, he taught himself to write a tolerable hand. As he had not heard of mathematics, he had no idea of anything, in regard to numbers, beyond what he had learned. He thought himself a master of figures, and challenged all his companions and the members of a society he attended, to a trial. Something, however, was proposed to him concerning Euclid. As he did not understand the meaning of the word, he was silent; but afterwards found it meant a book, containing the elements of geometry; this he purchased, and applied himself very diligently to the study of it, and against the next meeting he was prepared with an answer in this new science.
He now found himself launching out into a field, of which before he had no conception. He continued his geometrical studies; and as the demonstration of the different propositions in Euclid depend entirely upon a recollection of some of those preceding, his memory was of the utmost service to him. Besides, it was a study exactly adapted to his mind; and while he was attending to the business of his farm, and humming over some tune or other, his attention was often engaged with some of his geometrical propositions. A few figures with a piece of chalk, upon the knee of his breeches, or any other convenient spot, were all he needed to clear up the most difficult parts of the science.
He now began to be struck with the works of nature, and paid particular attention to the theory of the earth, the moon, and the rest of the planets belonging to this system, of which the sun is the centre; and considering the distance and magnitude of the different bodies belonging to it, and the distance of the fixed stars, he soon conceived each of them to be the centre of a different system. He well considered the law of gravity, and that of the centripetal and centrifugal forces, and the cause of the ebbing and flowing of the tides; also the projection of the sphere--stereographic, orthographic, and gnomical; also trigonometry and astronomy. By this time he was possessed of a small library.
He next turned his thoughts to algebra, and took up Emerson's treatise on that subject, and went through it with great success. He also grounded himself in the art of navigation and the principles of mechanics; likewise the doctrine of motion, of falling bodies, and the elements of optics, &c., as a preliminary to fluxions, which had but lately been discovered by Sir Isaac Newton; as the boundary of the mathematics, he went through conic sections, &c. Though he experienced some difficulty at his first entrance, yet he did not rest till he made himself master of both a fluxion and a flowing quant.i.ty. As he had paid a similar attention to the intermediate parts, he soon became so conversant with every branch of the mathematics, that no question was ever proposed to him which he could not answer.
He used to take pleasure in solving the arithmetical questions then common in the magazines, but his answers were seldom inserted, except by or in the name of some other person, for he had no ambition to make his abilities known. He frequently had questions from his pupils and other gentlemen in London; from the universities of Oxford and Cambridge, and different parts of the country, as well as from the university of Gottingen in Germany. These, however difficult, he never failed to answer; and from the minute inquiry he made into natural philosophy, there was scarcely a phenomenon in nature, that ever came to his knowledge or observation, but he could, in some measure at least, reasonably account for it.
He went by the name of w.i.l.l.y-o'-th'-Hollins, for many years after he left his residence in that place. The latter portion of his life was spent in the neighborhood of Cartmell, where he was best known by the name of w.i.l.l.y Gibson, still continuing his former occupation. For the last forty years he kept a school of about eight or ten gentlemen, who boarded and lodged at his own farm-house; and having a happy turn in explaining his ideas, he formed a great number of very able mathematicians, as well as expert accountants. This self-taught philosopher and wonderful man, died on the 4th of October, 1792, at Blaith, near Cartmell, in consequence of a fall, leaving behind him a widow and ten children.
EDMUND STONE.
Of the life of this extraordinary man we have little information. He was probably born in Argyles.h.i.+re, Scotland, at the close of the seventeenth century. His father was gardener to the Duke of Argyle, and the son a.s.sisted him. The duke was walking one day in his garden, when he observed a Latin copy of Newton's Principia, lying on the gra.s.s, and supposing it had been brought from his own library, called some one to carry it back to its place. Upon this, young Stone, who was in his eighteenth year, claimed the book as his own. "Yours!" replied the duke; "do you understand geometry, Latin, and Newton?" "I know a little of them," said the young man.
The duke was surprised, and having a taste for the sciences, he entered into conversation with the young mathematician. He proposed several inquiries, and was astonished at the force, the accuracy and the clearness of his answers. "But how," said the duke, "came you by the knowledge of all these things?" Stone replied, "A servant taught me to read ten years since. Does one need to know anything more than the twenty-six letters, in order to learn everything else that one wishes?"
The duke's curiosity was now greatly increased, and he sat down upon a bank and requested a detail of the whole process by which he had acquired such knowledge. "I first learned to read," said Stone; "afterwards, when the masons were at work at your house, I approached them one day, and observed that the architect used a rule and compa.s.s, and that he made calculations. I inquired what might be the meaning and use of these things; and I was informed that there was a science called arithmetic. I purchased a book of arithmetic, and studied it. I was told that there was another science, called geometry. I bought the necessary books, and learned geometry.
"By reading, I found there were good books on these two sciences in Latin; I therefore bought a dictionary and learned Latin. I understood, also, that there were good books of the same kind in French; I bought a dictionary and learned French; and this, my lord, is what I have done.
It seems to me that we may learn everything when we know the twenty-six letters of the alphabet."
Under the duke's patronage, Stone rose to be a very considerable mathematician, and was elected a member of the Royal Society of London, in 1725. He seems to have lost the favor of the Duke of Argyle, for, in the latter part of his life, he gave lessons in mathematics, and at last died in poverty.
RICHARD EVELYN.
John Evelyn, a very learned English writer, was born in 1620, and died in 1706. He published several works, all of which are valuable. His treatises upon Natural History are greatly valued. He kept a diary, which has been published, and which contains much that is interesting.
Of one of his children, who died early, he gives us the following account:
"After six fits of ague, died, in the year 1658, my son Richard, five years and three days old, but, at that tender age, a prodigy of wit and understanding; for beauty of body, a very angel; for endowment of mind, of incredible and rare hopes. To give only a little taste of some of them, and thereby glory to G.o.d:
"At two years and a half old, he could perfectly read any of the English, Latin, French, or Gothic letters, p.r.o.nouncing the three first languages exactly. He had, before the fifth year, not only skill to read most written hands, but to decline all the nouns, conjugate the verbs regular and most of the irregular; learned Pericles through; got by heart almost the entire vocabulary of Latin and French primitives and words, could make congruous syntax, turn English into Latin, and _vice versa_, construe and prove what he read, and did the government and use of relative verbs, substantives, ellipses, and many figures and tropes, and made a considerable progress in Comenius's Janua; began himself to write legibly, and had a strong pa.s.sion for Greek.
"The number of verses he could recite was enormous; and when seeing a Plautus in one's hand, he asked what book it was, and being told it was comedy and too difficult for him, he wept for sorrow. Strange was his apt and ingenious application of fables and morals, for he had read aesop. He had a wonderful disposition to mathematics, having by heart divers propositions of Euclid, that were read to him in play, and he would make lines and demonstrate them.
"As to his piety, astonis.h.i.+ng were his applications of Scripture upon occasion, and his sense of G.o.d: he had learned all his catechism early, and understood the historical part of the Bible and Testament to a wonder--how Christ came to mankind; and how, comprehending these necessaries himself, his G.o.dfathers were discharged of their promise.
These and like illuminations, far exceeding his age and experience, considering the prettiness of his address and behavior cannot but leave impressions in me at the memory of him. When one told him how many days a Quaker had fasted, he replied, that was no wonder, for Christ had said 'man should not live by bread alone, but by the word of G.o.d.'
"He would, of himself, select the most pathetic Psalms, and chapters out of Job, to read to his maid during his sickness, telling her, when she pitied him, that all G.o.d's children must suffer affliction. He declaimed against the vanities of the world, before he had seen any. Often he would desire those who came to see him, to pray by him, and a year before he fell sick, to kneel and pray with him, alone in some corner.
How thankfully would he receive admonition! how soon be reconciled! how indifferent, yet continually cheerful! He would give grave advice to his brother John, bear with his impertinences, and say he was but a child.
"If he heard of, or saw any new thing, he was unquiet till he was told how it was made; he brought to us all such difficulties as he found in books, to be expounded. He had learned by heart divers sentences in Greek and Latin, which on occasions he would produce even to wonder. He was all life, all prettiness, far from morose, sullen, or childish in anything he said or did. The last time he had been at church, which was at Greenwich, I asked him, according to custom, what he remembered of the sermon. 'Two good things, father,' said he, '_bonum gratiae_, and _bonum gloriae_;" the excellence of grace, and the excellence of glory,--with a just account of what the preacher said.
"The day before he died, he called to me, and, in a more serious manner than usual, told me, that for all I loved him so dearly, I should give my house, land, and all my fine things to his brother Jack,--he should have none of them; and next morning, when he found himself ill, and I persuaded him to keep his hands in bed, he demanded whether he might pray to G.o.d with his hands unjoined; and a little after, whilst in great agony, whether he should not offend G.o.d by using his holy name so often by calling for ease.
"What shall I say of his frequent pathetical e.j.a.c.u.l.a.t.i.o.ns uttered of himself: 'Sweet Jesus, save me, deliver me, pardon my sins, let thine angels receive me!' So early knowledge, so much piety and perfection!
But thus G.o.d, having dressed up a saint fit for himself, would no longer permit him with us, unworthy of the future fruits of this incomparable, hopeful blossom. Such a child I never saw! for such a child I bless G.o.d, in whose bosom he is! May I and mine become as this little child, which now follows the child Jesus, that lamb of G.o.d, in a white robe, whithersoever he goes! Even so, Lord Jesus, let thy will be done. Thou gavest him to us, thou hast taken him from us; blessed be the name of the Lord! That I had anything acceptable to thee was from thy grace alone, since from me he had nothing but sin; but that thou hast pardoned, blessed be my G.o.d forever! Amen."
[Ill.u.s.tration]
QUENTIN MATSYS.
This great painter was born at Antwerp, in 1460, and followed the trade of a blacksmith and farrier, till he approached manhood. His health at that time was feeble, and rendered him unfit for so laborious a pursuit; he therefore undertook to execute lighter work. He constructed an iron railing around a well near the great church of Antwerp, which was greatly admired for its delicacy and the devices with which it was ornamented. He also executed an iron bal.u.s.trade for the college of Louvain, which displayed extraordinary taste and skill.
His father had died, when he was young, leaving him and his mother entirely dest.i.tute. Notwithstanding his feeble const.i.tution, he was obliged to support both himself and her. While necessity thus urged him, his taste guided his efforts toward works of art. At Louvain there was an annual procession of lepers, who were accustomed to distribute little images of saints upon that occasion. Matsys devoted himself to the making of these, in which he was very successful.
[Ill.u.s.tration: MATSYS' WELL, AT ANTWERP.]
He had now reached the age of twenty, when it appears that he fell in love with the daughter of a painter, of some cleverness, in Antwerp. His affection was returned, but when he applied to the father to obtain his consent to their union, he was answered by a flat refusal, and the declaration, that no man but a painter, as good as himself, should wed his daughter. Matsys endeavored in vain to overcome this resolution, and finally, despairing of other means to accomplish the object which now engrossed his whole soul, he determined to become a painter. The difficulties in his way vanished before that confidence which genius inspires, and taking advantage of his leisure hours, he began to instruct himself secretly in the art of painting. His progress was rapid, and the time of his triumph speedily approached.
He was one day on a visit to his mistress, where he found a picture on the easel of her father, and nearly finished. The old man was absent, and Quentin, seizing the pencil, painted a bee upon a flower in the foreground of the painting, and departed. The artist soon returned, and in sitting down to his picture, immediately discovered the insect, which had so strangely intruded itself upon his canva.s.s. It was so life-like as to make it seem a real insect, that had been deceived by the mimic flower, and had just alighted upon it. The artist was in raptures, for it appears that he had a heart to appreciate excellence, even if it was not his own. He inquired of his daughter who had painted the bee. Though the details of the interview which followed are not handed down to us, we may be permitted to fill up the scene.
_Father._ Tell me, child, who painted the insect?
_Daughter._ Who painted the insect? Really, how should I know?