David playing the harp at the marriage of Christ with St. Catherine. A French artist has drawn, with true French taste, the Lord's Supper, with the table ornamented with tumblers filled with cigar-lighters; and, as if to crown the list of these absurd and ludicrous anachronisms, the garden of Eden has been drawn with Adam and Eve in all their primeval simplicity and virtue, while near them, in full costume, is seen a hunter with a gun, shooting ducks. MINUTE MECHANISM. There is a cherry-stone at the Salem (Mass.) Museum, which contains one dozen silver spoons. The stone itself is of the ordinary size; but the spoons are so small that their shape and finish can only be well distinguished by the microscope. Here is the result of immense labor for no decidedly useful purpose; and there are thousands of other objects in the world fashioned by ingenuity, the value of which, in a utilitarian sense, may be said to be quite as indifferent. Dr. Oliver gives an account of a cherry-stone on which were carved one hundred and twentyfour heads, so distinctly that the naked eye could distinguish those belonging to popes and kings by their mitres and crowns. It was bought in Prussia for fifteen thousand dollars, and thence conveyed to England, where it was considered an object of so much value that its possession was disputed, and it became the object of a suit in chancery. One of the Nuremberg toymakers enclosed in a cherry-stone, which was exhibited at the French Crystal Palace, a plan of Sevastopol, a railway-station, and the "Messiah" of Klopstock. In more remote times, an account is given of an ivory chariot, constructed by Mermecides, which was so small that a fly could cover it with his wing; also a ship of the same material, which could be hidden under the wing of a bee! Pliny, too, tells us that Homer's Iliad, with its fifteen thousand verses, was written in so small a space as to be contained in a nutshell; while Elian mentions an artist who wrote a distich in letters of gold, which he enclosed in the rind of a kernel of corn. But the Harleian MS. mentions a greater curiosity than any of the above, it being nothing more nor less than the Bible, written by one Peter Bales, a chancery clerk, in so small a book that it could be enclosed within the shell of an English walnut. Disraeli gives an account of many other exploits similar to the one of Bales. There is a drawing of the head of Charles II. in the library of St. John's College, Oxford, wholly composed of minute written characters, which at a small distance resemble the lines of an engraving. The head and the ruff are said to contain the book of Psalms, in Greek, and the Lord's Prayer. In the British Museum is a portrait of Queen Anne, not much larger than the hand. On this drawing are a number of lines and scratches, which, it is asserted, comprise the entire contents of a thin folio. The modern art of Photography is capable of effecting wonders in this way. We have before us the Declaration of Independence, containing seven thousand eight hundred letters, on a space not larger than the head of a pin, which, when viewed through a microscope, may be read distinctly. THE RATIO OF THE DIAMETER TO THE CIRCUMFERENCE. The proportion of the diameter of a circle to its circumference has never yet been exactly ascertained. Nor can a square or any other right-lined figure be found that shall be equal to a given circle. This is the celebrated problem called the squaring of the circle, which has exercised the abilities of the greatest mathematicians for ages and been the occasion of so many disputes. Several persons of considerable eminence have, at different times, pretended that they had discovered the exact quadrature; but their errors have readily been detected; and it is now generally looked upon as a thing impossible to be done. But though the relation between the diameter and circumference cannot be accurately expressed in known numbers, it may yet be approximated to any assigned degree of exactness. And in this manner was the problem solved, about two thousand years ago, by the great Archimedes, who discovered the proportion to be nearly as seven to twenty-two. The process by which he effected this may be seen in his book De Dimensione Circuli. The same proportion was also discovered by Philo Gadarensis and Apollonius Pergeus at a still earlier period, as we are informed by Eutocius. The proportion of Vieta and Metius is that of one hundred and thirteen to three hundred and fifty-five, which is a little more exact than the former. It was derived from the pretended quadrature of a M. Van Eick, which first gave rise to the discovery. But the first who ascertained this ratio to any great degree of exactness was Van Ceulen, a Dutchman, in his book De Circulo et Adscriptis. He found that if the diameter of a circle was 1, the circumference would be 3·141592653589793238462643383279502884 nearly; which is exactly true to thirty-six places of decimals, and was effected by the continual bisection of an arc of a circle, a method so extremely troublesome and laborious that it must have cost him incredible pains. It is said to have been thought so curious a performance that the numbers were cut on his tombstone in St. Peter's churchyard, at Leyden. But since the invention of fluxions, and the summation of infinite series, several methods have been discovered for doing the same thing with much more ease and expedition. Euler and other eminent mathematicians have by these means given a quadrature of the circle which is true to more than one hundred places of decimals,—a proportion so extremely near the truth that, unless the ratio could be completely obtained, we need not wish for a greater degree of accuracy. MATHEMATICAL PRODIGIES. They with the pen or pencil problems solved; Prominent among the precocious mathematicians of the present day is a colored boy in Kentucky, named William Marcy, whose feats in mental arithmetic are truly wonderful. His powers of computation appear to be fully equal to those of Bid der, Buxton, Grandimange, Colburn, or Safford. He can multiply or divide millions by thousands in a few minutes from the time the figures are given to him, and always with the utmost exactness. Recently, in the presence of a party of gentlemen, he added a column of figures, eight in a line, and one hundred and eighty lines, making the sum total of several millions, within six minutes. The feat was so astounding, and apparently incredible, that several of the party took off their coats, and, dividing the sum, went to work, and in two hours after they commenced produced identically the same answers. The boy is not quite seventeen years of age; he cannot read nor write, and in every other branch of an English education is entirely deficient. It is worthy of remark that mathematics is the only department of science in which such feats of imbecile minds can be achieved. The supposition would not, a priori, be admissible; but frequent facts prove it. A negro, a real idiot, was not long since reported in Alabama, who could beat this Kentuckian in figures, but could scarcely do any thing else worthy of a human intellect. Precocious mathematicians, not imbecile, have usually turned out poorly; few of them, like Pascal, have shown any general capacity. These facts suggest inferences unfortunate for mathematical genius, if not for mathematical studies. They have sublime relations, in their "mixed" form, with our knowledge of the universe; but their relations to genius-to human sentiments and sensibilities—to the moral and ideal in humanity,-are, to say the least, quite equivocal. The calculating power alone would seem to be the least of human qualities, and to have the smallest amount of reason in it; since a machine like Babbage's can be made to do the work of three or four calculators, and better than any of them. EXTRAORDINARY MEMORY. Lipsius made this offer to a German prince :-Sit here with a poignard, and if in repeating Tacitus from beginning to end I miss a single word, stab me. I will freely bare my breast for you to strike. Muretus tells us of a young Corsican, a law-student at Padua, who could, without hesitation, repeat thirty-six thousand Latin, Greek, or barbarous words, significant or insignificant, upon once hearing them. Muretus himself tested his wonderful memory, and avers all alleged respecting it to be strictly true. DIMENSIONS OF HEAVEN. And he measured the city with the reed, twelve thousand furlongs. The length, and the breadth, and the height of it are equal.—Rev. xxi. 16. Twelve thousand furlongs, 7,920,000 feet, which being cubed, 496,793,088,000,000,000,000 cubic feet. Half of this we will reserve for the Throne of God and the Court of Heaven, and half the balance for streets, leaving a remainder of 124,198,272,000,000,000,000 cubic feet. Divide this by 4,096, the cubical feet in a room sixteen feet square, and there will be 30,321,843,750,000,000 rooms. We will now suppose the world always did and always will contain 990,000,000 inhabitants, and that a generation lasts for 33 years, making in all 2,970,000,000 every century, and that the world will stand 100,000 years, or 1,000 centuries, making in all 2,970,000,000,000 inhabitants. Then suppose there were worlds equal to this in number of inhabitants and duration of one hundred years, making a total of 297,000,000,000,000 persons, and there would be more than a hundred rooms sixteen feet square for each person. THE COST OF SOLOMON'S TEMPLE. According to the computation of Villalpandus, the talents of gold, silver, and brass used in the construction of the Temple amounted to £6,879,822,500. The jewels are reckoned to have exceeded this sum; but, for the sake of an estimate, let their value be set down at the same amount. The vessels of gold (vasa aurea) consecrated to the use of the Temple are reckoned by Josephus at 140,000 talents, which, according to Capel's reduction, are equal to £545,296,203. The vessels of silver (vasa argentea) are computed at 1,340,000 talents, or £489,344,000. The silk vestments of the priests cost £10,000; the purple vestments |