any line of figures, as 823417554. Make ex-cult to make the results come as readily as amples by taking the first two figures for the those of the simple multipiication-table. Thus, lesser, and the next for the units of the great- taking 62987401328, the object is to arrive er; then the second and third, and the fourth, rapidly at 21, 26, 79, 60, or 6X 2+9, 2x9+8, and so on. The process then is to make out, 9x8+7, 8x7+4; also at 72, 88, 119, etc., or as rapidly as possible, eighty-two and one are (6+2)X9, (2+9) X8, (9+8)x7, etc. eighty-three, twenty-three and one are twen-l 5. The next process is to catch the result four, thirty-four and seven are forty-one, for- of the preeeding process, and to add to it anty-one and six are forty-seven, seventeen and other figure, naming the first result only, and eight are twenty-five, and so on.

none of its constituents. Taking again a row 3. The multiplication-table is now to be of figures - 725836294759 — the object is to learned, up to nine times nine at least, but air

arrive at 19 and 27, 18 and 21, 43 and 49 ; not in the common way. Of all the drawbacks,

or, taking the sum of the two first numbers, upon the rapidity of computation, none is so

multiplying the third and adding the fourth, great as the common habit of reproducing in

and so on--thus, 45 and 53, 56 and 59, 39 and regular form the assertion, eight times seven

45, etc. are fifty-six, every time that eight and seven 6. The next of these exercises resembles are seen and multiplication is known to be that in (2), only that the smaller number is coming. The exercise we now speak of, con- found as in (4). A product increased by a sists in stating instantly the product of two digit is to be taken from a number, of which digits as soon as they are seen. Take a line the unit's place is before the operator, while of figures, as before, and learn to repeat rap- the ten's is to be supplied.as wanted, to make idly the product of every pair, without nam- the defect not exceed nine. Thus, out of ing either of the pair. 72698593376598. The 7861, is to be instantly supplied 62 and 9 are following products are to be caught instantly: 71, or 7X8+6 is to be made up to the next 14, 12, 54, 72, 40, 45, 27, 9, 21, 42, 30, 45, 72, number that ends with one. etc. One advantage of this process will be, 7. The last proceess is the inversion of (5), that the learner will become equally habituat- namely: finding the quotient and remainder ed to the products, whether the greater fac- of tens and units divided by a single digit ; tor be seen first or the lesser.

but this should be practiced without repeat4. The next thing to be acquired is the for- ing, as in eight in fifty-nine, seven times and mation of a product increased by a given digit, three over. It should be, at most, eight in or a given digit by a product, instantly, with-fifty-nine, seven and three. A row of figures out repetition of the factors or addend. In- may be used for practice, as in the preceding stead of four times eight are thirty-two, and cases. three are thirty-five, we ought to require only As soon as these seven rules become as fathe words 32, 35; that is, only the results. miliar as counting, so soon and no sooner is If rows of figures be agairi taken, and if the the drudgery of computation annihilated. exercise be repeated on each three figures con- These are the steps by which the calcularor secutively – slowly at first, if necessary, but walks ; and, let his journey be in what direckeeping strictly to the rule of allowing no ad- tion it may, no single pace can be any thing ditional words to be either articulated or but one or another of the preceding.-Comthought of — it will not be found very diffi- | panion to the British Almanac..

FIRESIDE DEPARTMENT. | My 23, 56, 80, 41, 3, 31, expresses one of

the properties of this tree. Answers

My 75, 69, 30, 83, is a mineral used for To " Miscellaneous Enigma,” in April num-1 money in East Africa. ber, have been received from D. R. A., Cen- My 66, 40, 79, 33, 37, 9, 29, is a high hill, treville; Marie. S. B. and Myra D. G., Bris-rising from

-, Bris-rising from the middle of a lake in East Afritol; Lizzie, Phenix ; Manfred, Raymond, M.,

ca. A., R., A., Roscoe, E. B, C., Providence.

dence. | My 28, 14, 71, 85, is an ancient tower in ANSWER.

Asia Minor. Palace of Forty Pillars, Ispahan, Gerba, My 89, 15, 7, 72, 40, 57, 22, 77, is a river Saint Denis, Bonibe, Rhodes, Gibraltar, which empties into the gulf of Cambay. Solaro, Anacapri, Cherbourg, Gingee, Trent, My 19, 74, 88, 23, 61, 34, 62, 58, 4, 93, 68, Torghattan, Tours, Helder, Hillah, Duffus. 61, 45, is a place in Switzerland, near which

Whole-The burning of the frigate Phila- is a single waterfall of 800 feet. delphia, in the harbor of Tripoli, by Lieuten- My whole, is a curious circumstance which ant Stephen Decatur.

| happens twice during the year on cach side There were several mistakes in the « Mis- of the mountains alternately, which run parcellaneous Enigma” of last month, the month. the allel with the western shore of the Red Sea.

*JERRY. occurrence of which we regret. Contrary to our usual custom, it was inserted without a careful revision, hence the appearance of the AN ENIGMA said to have been written by errors, which are palpable. We hope to avoid Mr. Canning, which, for a length of time, bafa repetition.

fied all England to solve:

" There is a verb of plural number,
For the Schoolmaster.

A foe to peace and human slumber.
Enigma.

Now any word you chance to take,

By ad.ling s, you plural make; I AN COMPOSED OF NINETY-FOUR LETTERS. But if you add an s to this

How strange the metamorphosis : My 50, 91, 27, 84, 6, 58, 17, 53, 8, 38, 73,

Plural is plural then no more, 18, 69, 14, 2, 6, is a recent missionary martyr. And sweet what bitter was before."

My 52, 1, 10, 30, 63, 90, 65, 11, 52, 36, 82, 38, is a curious phenomenon seen in swamps

Dr. Franklin in Paris. and battle-fields.

My 5, 87, 81, 59, 33, 77, 46, 4, 70, 31, 25, In the early part of the American war, is the native name of a waterfall in Central Franklin went to Paris, in hopes of obtaining Ifrica.

pecuniary resources from France. For some My 60, 49, 78, 43, 47, 34, 44, 29, 12, 25, 13, time he was unsuccessful, and being invited 26, 42, is the name given the above by the dis- to a large party, a gentleman observed : coverer.

“It must be owned, sir, that America now My 35, 18, 86, 39, 51, 16, 54, is the river exhibits to us a grand and magnificent specon which the above waterfall is found. tacle !"

My 67, 55, 74, 17, 92, 32, is a tree which " True,” replied the doctor, dryly, but the produces Gune-Arabic.

• Honor Among Boys.

select from among his playthings something

worth enough to pay for the harm he has If, as it is said, there is “ honor among done, even if he has to give away a very prethieves, why should this noble quality be cious toy. If he is too poor for this and has lacking in so many little boys ?

a little Yankee contrivance, perhaps he can “ Boys will be boys,” said one in reply to a mend the injured article and make it as good remark of mine on this subject. This I know, as pew. If this cannot be done, he can go and do not desire to see “old heads upon to his playmate, and say he is very sorry for young shoulders." What I want is to beg the accident, and that he is not able to repay boys to be governed by honor, and honesty,

the damages, and then show his sorrow by in their dealings with one another.

improving the first chance to do his injured “ Why don't you lend your skates and sled

friend a favor. He will not have to wait long to the other boys when you are not using

for an opportunity to show kindness, which is

better than money. them ?” I have asked, and been answered, “ Because boys think nothing of breaking one This is as much a young boy's duty as it another's things, and sometimes consider it will be when he is a few years older, and acsmart, and then laugh at you for being so cidentally injures a borrowed horse and cargreen as to lend them.”

riage, to repay the owner for his loss. A boy “But don't they pay the damages ?” | who will break another's knife, lose his ball,

Now was my turn to be laughed at for the drop his new book in the mud, or break his absurdity of my question. “Pay damages ! sled, and then laugh at his playmate's disnever !” This grated harshly upon a moth- tress, or even refuse to pay him in some way er's ears, and I'll tell you why. Because, in for his loss, will be very likely to make a forgthe first place, I know how much a boy thinks er, defaulter, burglar, or perhaps something of his first sled, first skates, and first pocket- worse. knife. Many rich men who live in free-stone A mean unfeeling boy is a sad, hopeless palaces in New York will confess that they sight. Like a crooked, dwarfed, young tree, never had a greater prize than their first sled, nothing grand or noble can be made of it. with its bright paint and well-ironed runners, Age will only make it more ugly and despisand that the possession of skates gave them ed. many sleepless hours of delight. Now when! It is too much the fashion among boys to boys know so well how much they prize their

scorn gentle loving manners, or leave their sisown things, is it not very much like stealing,

ung ters to learn such ways, while they try to be to carelessly injure another boy's property

what they call men. A boy who wishes to be and make no effort to repair the loss ?

a true man, “the noblest work of God," must “But how can a boy pay, when he has got | begin while he is young to be honest and honno money?" I hear one of my readers say, orable, and “ do as he would be done by," perhaps impatiently.

for he will be the same person when he grows He can go home and tell his father what he up that he is now, only stronger, larger, in has done, and beg him to give him the means mind and body, and better able to do good or of repairing his loss. If his father sees fit to evil. Let us, by all means have • honor refuse his request, he can save his pennies till among bo s.”—M. E. w., in New York Inde. he has enough money of his own; or he can 'pendent.

School Anecdote.

People we Meet on the Sidewalk.

Joe Downs was a dull boy at school, al. What a great difference there is in the peoways behindhand with his lessons, and always ple we meet on the sidewalk. See that lady at the narrative end of his class. Every Sat- passing, dressed so finely in her silks and saturday we were obliged to commit a large nun- ins. She goes flirting along as if she owned ber of words from the dictionary, spell them, the whole sidewalk. Just behind her is an and give the definition. At the end of the old colored woman who has no good clothes recitation any scholar could ask the class a to wear; she goes bent nearly double with word and its meaning, the questioner to an- age. Perhaps she has no home to go to, and swer if none of the rest could, and go above it may be, has to beg for her living. Yonder all who missed. Joe's turn to “pop the ques- is a drunkard, who goes staggering along the tion" came, and he put out the word Aceph, street and says something to every person who It was spelled, but the meaning could not be passes him—before he is aware of it finds himgiven. Around the class it went, from head self locked up in jail. There are some nice to foot, till it came down to Joe, who trium- young men, who stand on the corners making phantly spelled and defined it—« A-c-e-p-h, fun of the passers-by. I don't think they are a louse without a head !” The roar of laugh- gentlemen. They should have better manners ter did not disconcert him in the least; but than to crowd people off the walk. Those when the smoke cleared away, he appealed to who are in the excellent habit of early rising the dictionary, and pointed to the word and may see that market-man who comes into definition—" A-ceph-a-lous, without a head.” town with his wagon full of articles, such as Joe's name was changed, and he was called eggs, butter, cheese, cabbage, turnips, radishfrom that day onward “Seph," or a “louse es, grapes, peaches, plums, and a great many without a head.”

other things that I need not mention, but The above funny story reminds us of a which are all very necessary for our comfort smart saying of our brother Sam. When we and pleasure. He looks as if he had seen were picaninnies, we knew by heart all the hard times! See that school-boy, as he goes bible stories." - Joseph in Egypt” was along the street wi

| along the street with his satchel of books a favorite.

slung over his shoulder. I wonder if he beOne day Sam had been busily reading in

longs to the Public School. If he has been that famous old school-book of fifty years

good in school he goes home much happier ago, the "American Preceptor," and at length

than if he has been a bad boy. A good boy he exclaimed, “ Charlie ! I've found out what

is likely to become a good man, and will be Joseph's last name was !” “Well,” said we,

respected all his life. Behind that boy comes what was it?" "Why it was Ab-rig-id.” said a poor blind man, led by his little son. How Sam. triumphantly. « Joseph Ab-ri-ged. "I pity the blind who cannot see the beautiful We looked at the book; Sam was reading

world in which we live. How grateful we under the caption, “ History of Joseph A

all ought to be, who have eyes to see with. bridged.”—Exchange.

In the old wagon comes a milk-man, who has pure country milk, “ fresh from the clover

fields," which, I am sure, is the best of milk. A word once spoken, a coach and four hors- He looks as if he was the richest man in the es cannot overtake and bring back.

state of New Jersey. In a white-covered