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BURY THE DEAD.
“Give me a grave, that I may bury my dead out of my sight.”—GENESIS 23 : 4 (Heb.)
ENWRAPT in fair white shroud,
With fragrant flowers strewn,
And wailing loud,
Shut out the light!
Out of my sight!
Corruption's touch will wrong
The sacred Dead too soon ;
Delay not long.
Behold the blight!
Out of our sight!
But there are other Dead
That will not buried be,
With noiseless tread,
And stalk at night;
Ever in sight.
Dear friendships snapped in twain,
Sweet confidence betrayed,
Vows pledged in vain.
There is no flight,
Out of your sight.
O for a grave where I
Might hide my dead away!
How could it die ?
Out of my sight !
Out of my sight!
O ever-living Dead,
Who cannot buried be;
What though it bled ?
The wound was slight
O still beloved Dead,
No grave is found for you;
No prayers are said ;
For out of sight
Alone at night.
Give me a grave so deep .
That they may rest with me;
In healing sleep;
Till out of night
Into God's sight!
POWERS OF CALCULATION. .
What an immense difference there most during the whole of that vast is between hearing of an extraordi- tour was the sight, face to face, of a nary fact, between even believing it; real savage man. Some years ago a that is, simply saying to yourself, similar surprise was experienced by “ Yes, I suppose it must be true, myself, though not from any fierce because everybody seems to take it untamed fellow-creature, but, on the for granted,” and witnessing the contrary, from a remarkably inofsame fact in proper person! Read- fensive and well-trained person. I ing about the sea, for instance, and had heard of George Bidder, in his making your first sea-voyage ; rap- time, that is, when his powers were idly perusing a book of travels, and publicly exhibited. Afterwards, the beholding for yourself a tropical fame of the mathematical shepherd, country; glancing at the report of Henry Mondeux, had reached my an execution or a battle, and being ears. I had regarded the reputation actually present at the horrid scene, of those celebrities, as mental arithare, respectively, two quite different meticians, with the same nonchaaffairs. We read Captain Cook's lance with which people always readventures amongst various savage gard things of which they are ignoislanders, and even his death by rant. But on the occasion in questheir hands, without any very start- tion I was present by invitation, at a ling or exceptional impression. It private assembly, held to witness the is an amusing romance, a terrible exploits of a young man who was tragedy, no more. We figure to said to solve wonderful problems in ourselves savages in general as ene- his head, and I was also requested mies merely—as holding with civil- to prepare an arithmetical question ized man relations similar to those or two. I did so, chuckling all the of the French and English of old, while to myself, “ If you get through as antagonistic powers, that is all. that, my good sir, without help of But an acute observer, who went pen or paper, you are a cleverer felround the world with his eyes wide low than I expect." The meeting open, says that what impressed him, was numerous, the majority (though far from the totality) being school- tiplication principally. A fleet of boys, with a sharp-set appetite for a seventy-three fishing-boats start from display of ciphering skill. The hero Dunkirk on the first of April to of the night was standing in the catch cod in the North Sea. They midst, in the attitude common to return on the thirty-first of July ; blind people and extremely absent that is, they are absent four months." and thoughtful persons. He re- “I understand; they are out at sea quested silence to be kept while he a hundred and twenty-two days." was making his calculations, which “Each boat carries nineteen men. he did walking backwards and for- How many men are there in the wards, with a sort of short, quarter- whole feet ?”. deck step.
“One thousand three hundred and “What shall we begin with ?” eighty-seven.". was a natural inquiry.
“And if each man eats four pounds “Suppose we take addition first, of bread per day, how much bread and mount gradually through the per day is eaten on board all the rules. Will any one name any sums boats?" they think fit to be added together?” “Of course, five thousand five
Hereupon various individuals dic- hundred and forty-eight pounds." tated items of hundreds of thousands, “With how much bread, then, a million and odd, a few hundreds, must the feet be provisioned to supand even units, to render the task ply it during the whole of its four the more puzzling, till some ten or months' voyage?”. twelve lines of figures were taken The calculator, who had stood still down by the gentleman who acted as during the previous questions, resecretary. Before he could finish sumed his quarter-deck pacing to the addition on the paper, the phe- and fro, and put on, as country-peonomenon gave the total accurately. ple say, his considering.cap. In a I began to tremble for my questions, few instants he stopped short, and fearing that they would not prove said, “ They must take out with them posers.
six hundred and seventy-six thouNext was proposed a sum of sub- sand, eight hundred and fifty-six traction, in which trillions were to pounds of bread.”. be deducted from trillions. The “Perfectly correct ! Quite right!" remainder was given as easily as an The boys were in ecstasies, which answer to What o'clock is it? Cer- found vent in another round of aptainly my questions would turn out plause. no posers at all.
“But these hard-working fisher“Can you extract cube roots men- men,” I continued, “keep up their tally ?” I asked.
strength with something else besides "Yes, give me one."
bread. Each man drinks a glass of “What is the cube root of nine- gin every morning; how many drams teen thousand six hundred and are drunk during the course of the eighty-three?"
four months ?'' “Oh, that is too easy. It is twen- Another short promenade, and ty-seven."
then the answer: “One hundred and Later in the evening he extracted sixty-nine thousand, two hundred a cube root of four figures. The and fourteen." schoolboys were delighted and as- “But that is not all; the gin is tonished. If they had not applauded kept in bottles, and each bottle holds heartily, as they did, they would not thirty-seven petits verres or drams. have been schoolboys.
How many bottles must the fleet “I have a little calculation to pro- carry out?” pose," I said, "which involves mul- “It must take out—let us see-it must take out four thousand five nineteen thousand, eight hundred hundred and seventy-three bottles, and forty." and a fraction consisting of thirteen “Right. But I observe, on watchdrams over."
ing them, that each large animalcule And so' ended my question num- eats, per day, one middle-sized, and ber one ; no poser, nor ass's bridge three little animalcules. How many at all. The interest of the audience animalcules shall I have left at the was highly excited. To give a short end of a couple of days?” repose to the calculator's brain, a “There will be, altogether, sixyoung lady treated us to a charming teen millions, one hundred and divertisement on the piano.
eleven thousand, four hundred and “ Are you tired ?".
eight survivors." “Oh, no; not at all.”
After a few other arithmetical lu“Shall we try something with a cubrations, the calculating performer greater number of figures ?'
made a proposition which not a little “If you please.”
startled his auditors. "Listen, then. I have a bottle of "Dictate to me,” he said, “ from ditch-water, the contents of which, a written paper, a hundred and fifty as near as I can estimate, amount to figures, any you please, in any order, eighty-seven thousand, five hundred · and I will repeat them to you by and sixty-two drops. In every drop, heart. Read them aloud to me, by on examining it with the micro- sixes.” scope, I find three species of ani. A gentleman present took pencil malcules-large, middle-sized, and and paper, and wrote down a string small, namely, seventeen large ones, of figures as they came into his head, thirty-nine middle-sized, and two by chance. “Seven, nought, nine, hundred and sixty-four small. First, five, three, one." tell me how many large animalcules “Yes,” said the phenomenon, I have in my bottle.”
"go on." After a few paces, the correct an- « Nought, five, seven, six, two, swer is given : “ You have one mil- three." lion, four hundred and eighty-eight “ Yes; go on." thousand, five hundred and fifty-four.” And so on till there were a hundred “ And how many middle-sized and fifty figures on the list.
“Will you like to make it two “ Three millions, four hundred hundred ?” asked the imperturbable and fourteen thousand, nine hundred calculator. and eighteen."
“No, no; that's quite enough," "Exactly. And how many small shouted the humane audience. ones!”
“Now, repeat them once again, 6Twenty-three millions, one hun- quick.” dred and twenty-six thousand " The figures were repeated accord“No; you have made an error ingly.
“I am ready; they are nailed fast “ Stop; let me see. It is twenty- in my head. If I make a mistake, three millions, one hundred and six- say “False ;' but don't correct me. teen thousand, three hundred and Which way will you like to have sixty-eight.”
them said ?-beginning from the be“ Perfectly correct. And now, if ginning, or beginning from the end ? you please, how many animalcules, The great number of zeros in the list large, small, and middle-sized, have makes it more difficult; but never I altogether in my bottle of ditch- mind.” water?"
“Begin from the beginning," was “You have twenty-eight millions, the considerate word of command.
The wonder resumed his pacing study gradually weakened his eyestep, and with half-shut eyes and sight till he became quite blind, and forefinger vibrating by the side of his continued so for two years and a half, forehead, close to the phrenological until he was twenty-five years of age. organ of number (a favorite action The blindness came on "comically," with him), commenced his repeti- he said, without headache or pain in tion : “Seven, nought, nine, five, the eyes; in short, he had never three, one; nought, five, seven, six, been ill in his life. As long as the two, three,” etc. ; until the hundred deprivation of sight continued, his and fifty figures were run off the roll- great amusement was to calculate procall, in much the same tone as a lit. blems in his head. Eyesight returned tle child recites “How doth the gradually, as it had departed, but little busy bee improve each shining only partially. Medical men promised hour." There were only one or two him its complete restoration if he errors, owing, he said, to the treach- would renounce mental mathematics; erous zeros; and on the admonition but the propensity was too strong. “False,” they were corrected with- He performed in his head all sorts of out aid. And then he repeated the calculations in spherical trigonomelist backwards, with the same mo- try, curves, and other branches of notonous ease. And then he offered high science. But, for himself, the to name any one given figure on the most difficult operation was simple list.
multiplication on a somewhat ex“What is the forty-fifth figure, tended scale, say the multiplication counting from the end ?”
of twenty figures by a multiplier “A seven, between a one on the consisting of fifteen or twenty. A right hand, and a nine on the left.” sum like this took him ten or twelve
“What is the twenty-first figure minutes to work mentally—the only from the beginning ?".
way possible; for he could not see "A five, with a zero to the right, clearly enough even to sign his own and a three to the left.” .
name without having his hand guided. And then he sat down, amidst Contrary to most of the calculacrowning applause, wiping the per- tors hitherto exhibited to the public, spiration from his brow, as well he and who, like Mondeux, were mathemight. And then he rose and gave maticians by instinct, and could not a detailed summing up (with the explain how they arrived at their refigures) of all the problems he had sults, M. Winkler was perfectly acgone through during the evening. quainted with the theory of numbers,
Jean Jacques Winkler, the person and arrived at the solution of the who executes these prodigies of strongest problems by means of a mental gymnastics, according to his methodical mental operation. He own account, was born at Zurich, in had formulæ of his own for the ex1831. He was one of a family of traction of cube roots, for instance, eight-four sons and four daughters, and short-cuts for trigonometry. A His father was a retired bill-broker, power consisting of thirty figures living on his income a sort of animal took him four or five minutes to exlife (the son's expression), and wish- tract its cube root mentally-an asing to keep the wanderer at home. tounding feat ; for a good arithmeJean Jacques, from his earliest child.' tician will require three-quarters of hood, studied all sorts of subjects by an hour to do the same thing with night and by day, possessing a pe- pencil and slate. He had projected culiar aptitude for calculation, com- a mathematical book to facilitate and bined with a prodigious memory. shorten intricate operations of the He studied in various places, and kind, but was prevented by the diffiunder various instructors, even under culty of producing in writing his Arago, amongst others. This hard imagined symbols.