DIVISION.

TRANSCRIBER'S NOTE:

Italics have been transcribed using _underscores_, small capitals as ALL

CAPITALS. Inconsistencies in hyphenation and spelling have not been

corrected. Punctuation has been silently corrected. A list of other

corrections can be found at the end of the document.

COMIC ARITHMETIC.

[Illustration: A FIGURANTE.]

"Go the whole figure."--SAM SLICK.

LONDON:

RICHARD BENTLEY, NEW BURLINGTON STREET.

1844.

LONDON:

R. CLAY, PRINTER, BREAD STREET HILL.

LIST OF ILLUSTRATIONS.

PAGE

THE SIGN OF EQUALITY--"WHO ARE YOU?" 5

THE SIGN OF SUBTRACTION 6

A PLURALIST 6

THE SACRED HALTAR 7

DIVIDING THE CHINESE, A CUTTING JOKE 7

THE POOR CURATE--THE BISHOP 9

A SAVE-ALL 13

MIHI CURA FUTURI 14

A MAN OF MANY WOES 15

THE MAN WHO TAKES CARE OF NO. 1 22

"TAKE FROM" 25

TAKEN IN AND DONE FOR 27

"WHO STEALS MY PURSE STEALS TRASH." 28

"FORKING UP." 33

LAWYER DIVIDING THE OYSTER 37

THE LION'S SHARE 40

THE INSOLVENT TRAP.--"THE LAW BINDS, BUT THE LAW LOOSES" 44

"BLOWED PUFFERY" 50

"OUT OF PROPORTION" 52

CALLED TO ACCOUNT 54

"THE NEAREST WAY TO A MAN'S HEART" 55

A SLIDING SCALE 57

"BROKEN DOWN" 59

FRACTIONAL SIGNS 60

AN ANCIENT AND MODERN MUG 62

KNOCKING DOWN THE LOT 71

DONE BY INTEREST 72

AT A PREMIUM AND DISCOUNT 73

THE OLD AND NEW PRINCIPLE--BOTH WITH CREDIT 74

THE TIN-DER PASSION 76

FAITH AND DUTY 77

THE GALLIPOT CRANE 83

THE CARPENTER WOODPECKER 84

THE RED-TAPE SNIPE 85

THE HERON 86

A DECIMAL FIGURE 89

A STRONG TITHE 90

THE POINT OF THE BAYONET 91

PRACTISING AT EXETER HALL.--HULLA, BOYS, HULLA 97

PRACTISING FOR THE MINISTRY 102

PRACTISING FOR THE OPERA 104

DISCOUNTING FOR A MAN FORMERLY 112

MEASURING BY THE "YARD"--TRUE FIT 122

CHARLES I.--A BLOCK-HEAD 140

"ASSURANCE" 146

MUTUAL ASSURANCE 150

THE WORLD IS KEPT UP BY PUFF 177

PREFACE.

TO THE READER, OR RATHER TO THOSE WHO HESITATE IN BUYING THIS WORK.

"Good wine needs no bush," and, therefore, little by way of preface

is necessary to this Work. "He who is ignorant of arithmetic," says

Archimedes, "is but half a man." Therefore, for the sake of _manhood_,

which drapers'-boys and lawyers'-clerks attempt by means of mustachoes

and penny-cigars, read this Work,--for if the dead abstractions of this

science will make a _man_, what must the living realities do?--Nothing

less than a Phœnix D'Orsay, which is at least 1 man ¾ and ⅝.

Read this book, then, my friends, young and old. It teaches practical

philosophy in every chapter; wisdom in every page; and common sense in

every line. Get this manual at the fingers' ends of your mind, and your

physical and mental powers will be so expanded that you will be able

to catch a comet by the tail; take the moon by the horns; knock down

the great wall of China, _à la Cribb_; or measure the spectre of the

Brocken for a pair of breeches, and thus cut a pretty FIGURE.

FIGURES FOR THE MILLION.

Of Arithmetic and its Importance.

INTRODUCTION.

Arithmetic is the art or science of computing by numbers. It is

national, political, military, and commercial. It is of the highest

importance to the community; because it pre-eminently teaches us

to take care of NUMBER I. Our ministers succeed according to their

knowledge of the science of numbers. Witness the skilful management of

majorities of the lower house.

He who understands the true art of _Addition_, _Subtraction_,

_Multiplication_, and _Division_, as here laid down, will not be

considered a mere _cipher_ in the world; but will, in all probability,

make a considerable _figure_: and in the figurative words of Horace, be

"Dives agris dives positis in fœnore nummis."

Let us, therefore, under the guidance and protection of that god of

honest men, the light-heeled and light-fingered Mercury, be diligent so

to _add_ to our store by _subtracting_ from the stores of others, that

we may _add_ to our importance. Let us so _multiply_ our resources, by

encouraging _division_ among our contemporaries, that we may see their

_reduction_ in the perfection of our own _practice_.

"Rem facias; rem

Recte si possis, sì non, quocunque

Modo rem."[1]

Hor.

[1] See page 19, (Addition,) for a poetical version of this

maxim.

EXPLANATION OF ARITHMETICAL SIGNS AND CHARACTERS.

[Illustration: EQUALITY.

"WHO ARE YOU?"]

= Equality. The sign of equality: as, "A living beggar is better than a

dead king;" or both being dead, are equal to each other.

[Illustration]

-- Minus, less. The sign of subtraction; as, for instance, an elopement

to Gretna; or, a knocking-down argument by the way-side, -- minus

ticker. Take from -- from take.

[Illustration: A PLURALIST.]

+ Plus, or more. The sign of addition; as, 3 livings + to 1 = 4; or, 5

millions of new taxes + to 48 = 53.

[Illustration: THE SACRED HALTAR.]

× Multiplied by. The sign of multiplication: as, "The sun breeds

maggots in a dead dog."--_See Shakspeare._ Or, "Money makes

money."--_See Franklin._ Or, Anti-Malthus.--_See Ireland._

[Illustration: DIVIDING THE CHINESE, A CUTTING JOKE.]

÷ Divided by. The sign of division. Example 1. The Whigs.--2. The

Church. A house divided against itself. Division of property; the

lion's share, &c.

SIGNS OF PROPORTION.

Is to: so is:: As Lord B---- IS TO Bishop P----, SO IS a blue musquito

to a planter's nose.

As Sir R---- I---- IS TO J---- H----, SO IS a pair of donkey's-ears to

a barber's-block.

As Tommy Duncombe IS TO Lord Stanley, SO IS shrimp-sauce to a boiled

turbot.

[Illustration: THE POOR CURATE.

THE BISHOP.]

RULE I.

NUMERATION.

Numeration teaches the different value of figures by their different

_places_ (see Walkinghame, Court Guide, Law List, &c.); also the value

of ciphers, or noughts, according to their relative situations (see

Intellectual Calculator, or Martin's Arithmetical Frames). As regards

the value of figures in places, we have illustrations in sinecures of

all grades, from the Lords of the Treasury to the meanest underling of

the Stamp-Office.

Place and pension make the _unit_ a _multitude_, according to the

position of the noughts,--that is, that large portion of the public

called the nobodies. The more a man is surrounded by his inferiors,

the greater he becomes. Hence the necessity of restrictive tariffs to

prevent wealth in a community,--and of impediments to education. It is

not, therefore, _naughty_ for our betters to keep us down by any kind

of mystification; as the sun always looks larger through a fog.

The value of figures and of ciphers will be well understood in the

following table, which ought to be committed faithfully to memory. It

will be seen that when the noughts, the nobodies, that is, the people,

go before the legislative units, their value is consequently decreased;

but when they follow as good backers in good measures, the value of the

characters is increased _ad infinitum_.

TABLE I.--"LEGISLATION BEHIND THE PEOPLE."

The good old times.

{ 1 King.

P { 20 Lords.

E { 300 Tithe-eaters.

O { 4000 Quarrel-mongers (lawyers).

P { 50000 Men-killers (army).

L { 600000 Land-swallowers (landlords).

E { 7000000 Dividendists.

. { 80000000 Pensioners.

{ 900000000 Sinecurists.

TABLE II.--LEGISLATION IN ADVANCE OF THE PEOPLE.

The new system, or march of intellect.

King 100000000 }

Lords 20000000 } P

Tithe-eaters 3000000 } E

Quarrel-mongers 400000 } O

Land-swallowers 50000 } P

Dividendists 6000 } L

Men-killers 700 } E

Pensioners 80 } .

Sinecurists 9 }

RULE II.

ADDITION.

Our life is an addition sum; sometimes long, sometimes short; and Death,

with "jaws capacious," sums up the whole of our _hum_anity by making the

"tottle" of the whole.

Man is an adding animal; his instinct is, to get. He is an illustration

of the verb, to get, in all its inflexions and conjugations; and thus we

get and beget, till we ourselves are added to our fathers.

There are many ways of performing addition, as in the following: a young

grab-all comes upon the fumblers at long-taw, as Columbus did upon the

Indians; or, as every thrifty nation does upon the weak or unsuspicious,

and cries "_Smuggins_!"

Addition is also performed in a less daring manner by the save-all

process, till Death, with his extinguisher, shuts the miser up in his

own smoke.

[Illustration: A SAVE-ALL.]

Addition may also be performed by _subtraction_ by other methods. It is

one to make "Jim along Josey!" the watchword, as Joey does in the

pantomime.

If you would be merry,

And never would fret,

Then, get all you can,

And keep all you get.

[Illustration: MIHI CURA FUTURI.]

Addition teaches, also, to add _units_ together, and to find their sum

total, as A + B = 2. A bachelor is a _unit_; a Benedict, _unitee_.

* * * * *

MATRIMONIAL ADDITION.--By common ciphering 1 and 1 make 2. But, by the

mathematics of matrimony, 1 and 1 will produce from 1 to 20, arranged

in row, one above another, like a flight of stairs. They make a pretty

addition to a man's _effects_, as well as to his _income_; and, if not

themselves _capital_, are a _capital_ stimulus to exertion. Surrounded

by these special pleaders, a man becomes as sharp-set as a Lancashire

ferret, and looks as fierce as a rat-catcher's dog at a sink-hole. Such

men ought to be labelled, "Beware of this unfortunate dog!" for he

would bite at a file!

[Illustration: A MAN OF MANY WOES.]

* * * * *

ADDING TO YOUR NAME.--This is another mode of performing addition. It

is not necessary to go to an university for this, any more than it is

necessary to go to a church to get married. The thing can now be done

without it. Schoolmasters, and pettifoggers of all kinds, will find

this an excellent piece of practical wisdom.

"ADDITION FOR COMMON NAMES."

The Reverend Dr. O'Crikey, D.D.--_Duke of Dunces, or Dull Donkey._

The Reverend Samuel Snuffers, A.M.--_A Muff._

John Petty Fog, Esq. LL.D.--_Deuced Lying Lawyer._

The Right Hon. Lord Dolittle, F.S.A.--_Fumbler in Science and Art._

The Most Noble the Marquis of Sligo, F.R.S.--_Fellow of the Rigmarol

Society._

The Lord Knowswho, F.A.S.--_Fool a star-gazing._

Jeremy Stonybatter, F.G.S.--_Fluking of the Gammoning Society._

Billy Buttercup, Esq. F.L.S.--_First of the Lubberhead Society._

Captain Marlinspike, F.N.S.--_Fellow of no Society._

_ADDING_ TO A STORY.

"Oh! Mrs. Wiggins, I declare

I never heard the like!

The wretch knows how to curse and swear,

To bite, and scratch, and strike!

"All day he's tossicated, and

All night he roams about;

But that is lucky, sure, for he

Is worse when in than out."

"If this is what you get when wed,

I'm glad I yet have tarried:--

Better to keep one's single bed,

Than venture to get married.

"But such a monster! By and by

That idle minx, his wife,

With all her mawkish tenderness,

Must 'gainst him swear her life.

"The fine piano long ago,

Just after my last rout,

With candlesticks and cruets too,

Are all gone up the spout.

"And bills return'd, as I have heard,

Last week, one, two, or three;

And summonses for grocery--

'Tis nothing, though, to me.

"They live like cat and dog. I own

She always _was_ a scold.

She broke the table on his crown;

So I was lately told.

"'Tis nothing, though, my dear, to me,

As I before have said.

If married people don't agree,

They ought not to get wed."

To go back a little to first principles, which should never be lost

sight of in the teaching of any art or science, we must set forth the

grand leading rule before our pupils. Addition teaches, therefore,

1. To get all we can.

2. To keep all we get.

SONG.

"Argent comptant."

PARENTAL ADVICE.--RULE I.

Get money, my son, get money,

Honestly if you can;

It makes life sweet as honey--

My son, get money, get money!

Don't stand upon ceremony,

Or you may look mighty funny;

But make it your constant song,

Get money, get money, get money!

Money makes the mare to go, boy,

Where every path looks sunny.

Go it! my lad, through thick and thin;

Get money, get money, get money!

RULE II.--TAKE CARE OF NO. I.

No. I.--O! since the world was made from 0,

And since old Time began,

The maxim was, and still must be,

Take care of No. I.

Look at the "Times," our oracle,

As sure as any gun,

With hand upon the dial-plate,

It points to No. I.[2]

The mouthing prigs of Parliament,

With long yarns nightly spun,

Watch well for place and patronage,

And all for No. I.

And those who preach of charity,

Enough your ears to stun,

In making up their long accounts,

Take care of No. I.

One follows law, one physic serves,

As shadows serve the sun;

But briefs, and draughts, and boluses

All make for No. I.

And those that oft make love more sweet

Than cakes of Sally Lunn,

In all their ardour ever have

An eye to No. I.

In short, mankind, both young and old,

When serious or in fun,

From hour to hour, from day to day,

Take care of No. I.

The rich, the poor, both high and low,

Ay, every mother's son,

From Court to Poor-law Union,

Take care of No. I.

Too bad it is to be a bore,

And so my strain is done,

Except it is to say once more,

Take care of No. I.

[Illustration: The man who takes care of No. 1.]

[2] Any one wishing to observe this great lesson to all mankind

set forth by the leading journal of Europe, has only to

look at the little vignette at the top of the leading

article of the "Times."

RULE III.

SUBTRACTION.

"I'll example you with thievery.

The sun's a thief, and with his great _subtraction_

Robs the vast sea. The moon's an arrant thief,

And her pale fire she snatches from the sun.

The sea's a thief, whose liquid surge resolves

The moon into salt tears. The earth's a thief,

That feeds and breeds by a composture stolen

From general excrement: each thing's a thief.

The laws you curb and whip in their rough power

Have uncheck'd theft. All that you meet are THIEVES."

Shakspere.

Subtraction teaches to "take from" or to find the difference of two

numbers; having taken too much _in_, and slept _out_; to find the

difference in sovereigns and shillings between that and sleeping at home

according to the "conventional laws of virtuous propriety." (_Vide_ Miss

Martineau.)

The figures are to be arranged in subtraction one under the other; that

line expressing the highest number, being placed above the line

expressing the smaller number. In this arrangement, the upper line is

called the _subtrahend_, and the lower the _subtractor_; the difference

is called the _remainder_. Our readers, the million, are the subtrahend.

The following are subtractors:--

Corn and sugar monopolists.

Tax-collector.

Easter dues, beadle and clerk.

Poor-rate.

Christmas-box and Christmas-piece.

Subscriptions for Chiggered Niggers.

Parson Smith and his orphans.

Poor relations.

The Rule of Subtraction is perhaps the most useful in either national,

political, or commercial Arithmetic; "TAKE FROM" being the universal

maxim of mankind from the day that Adam and Eve stole the forbidden

fruit. In sacred history we find various exemplifications of the

principle: Jacob made use of it when he obtained his brother's

birthright and his blessing; David, when he took the wife of Uriah.

Profane or classical history abounds with examples. It was the royal and

sacerdotal rule, in all climes, countries, and times. Kings have grown

thrifty by it, and conquerors invincible. "_Take from_" is, in short,

the motto of the legislators; and _rhetoric_ the soldier's _watchword_,

the prince's _condescension_, the courtezan's _smile_, the lawyer's

_brief_, the priest's _prayer_, and the tradesman's _craft_. The use of

this rule, is to enable us to "do one another," not "as we would be

done," without the contravention of the majesty of the law.

[Illustration]

"For why--because the good old rule

Suffices us--the simple plan,

That they should _take_ who have the power,

And they should _keep_--who can."

We have had some amusing ways of performing this rule in "by-gone ages."

Among the most celebrated, were _Indulgences_ and _Benevolences_. They

worked well for those who worked ill, and led to a multiplication of

heresies.

Subtraction is perhaps one of the most fashionable of all the rules; and

any one who sets himself down for a gentleman must expect to be beset by

a swarm of hungry locusts, who make a rule to bleed him at every pore

till he becomes poor. When Edward the First took the wealth of the Jews

and their teeth at the same time, he showed a fatherly consideration for

those who having nothing to eat wanted neither incisores, cuspidati,

bicuspidæ, or molarii. But we are to be nipped, and squeezed, and

tapped, and leeched, and drained to all eternity, and are still expected

to--give.

_To take in._--This rule not only teaches us to take from, but also to

take in, which is to take from, with true tact and skill. England is

the Land of Goshen in this particular, and Smithfield the focus of the

art, whence the first rule for selling a horse is--

1. Take in your own father,

Or, if you would rather,

You may take in your mother,

Or humbug your brother;

And though you just kissed her,

Bamboozle your sister;

Or you may send

For your friend;

Or, still fond of pelf,

If you can't find an elf,

You may take in yourself.

[Illustration: TAKEN IN AND DONE FOR.]

[Illustration: "WHO STEALS _MY_ PURSE STEALS TRASH."]

SUBTRACTION OF CHARACTER, OR _DE_-TRACTION.

The rules already given for performing this branch of arithmetic apply

to money matters; but the perfection of the art consists, not in simply

taking from another what you want yourself, but that which does not

enrich you, but makes him poor indeed. This has been styled, by way of

eminence, the devil's subtraction, being the general essence of the

black art. It is called _De_traction.

Detraction may be performed in a variety of ways, as for example:--"Oh,

I know him--his great grandfather was--but no matter, and his mother--no

better than she should be, but I hate to speak evil of the dead. I have

enough to do to mind my own business--and yet one cannot help

knowing--but yet nobody knows what he is or how he gets his money. He

makes a show certainly, but I like things to be paid for before they are

sported. His wife, too--what was she, do you suppose? As I have heard, a

cook in a tradesman's family.--Well, a cook is not so bad after all--I

am sure it is better than a doctor. But I believe he was forced to marry

her.--Poor woman, she suffered, I dare say--Well, it is well it is no

worse--It was the only amends he could make her--It would have been a

cruel thing for the poor innocent children to be born illegitimate.--But

he is still very gay--These sort of men will be--but there will be an

_exposé_ some day. Things can't go on for ever--Well, I wish them no

harm, poor creatures--But do you go to their party to-night?--I go only

for the sake of seeing how madam cook conducts the entertainment."

* * * * *

RULE FOR LADIES WITH REGARD TO THEIR RIVALS.--Should any lady be so

unfortunate as to fear a rival in the affections of some simple-hearted

swain in the personal attractions of some youthful beauty whom he has

never seen, it must be her method not to vilify her character or

underrate her accomplishments,--no, this is but sorry skill. The more

delicate and refined way of _subtracting_ from her merits will be to

employ unbounded panegyric, so as to raise the expectations of the

feared admirer, that the real shall fall infinitely short of the ideal.

This is another mode of performing _subtraction_ by _addition_.

* * * * *

LITERARY SUBTRACTION.--This is of essential service to editors,

reviewers, and others, who, having nothing good of their own with which

to amuse the public, steal the brains of others.

_Rule._--Take from a work published at a guinea all its cream and

quintessence, under pretence of praising it into immortality through the

pages of your fourpenny review. "_Castrant alios, ut libros suos per se

graciles alieno adipe suffarciant._"

* * * * *

MERCANTILE SUBTRACTION.--It is well understood in this country, that no

honest man can get a living, in consequence of the extraordinary

competition among us. It is therefore considered legal and justifiable

for the baker to "take toll" and make "dead men;" for the licensed

victualler to make "two butts out of one;" for the wine-merchant to

"doctor" his port; for the butcher to "hang on Jemmy;" for the printer

to make "corrections;" for the tailor to "cabbage;" for the grocer to

"sand his sugar and birch-broom his tea." The milkman "waters his milk"

by act of parliament; and to show that all this is in the order of

Providence, the rains of heaven _wet the coals_.

* * * * *

NATIONAL OR POLITICAL SUBTRACTION.--There is one part of the New

Testament which all Christian rulers have religiously observed, namely,

"Now, Cæsar issued a decree that all the world should be taxed." The art

of taxation is, therefore, not only a religious obligation, but is the

science of sciences and the most important part of National Arithmetic.

Taxation is necessary just as blood-letting is necessary in plethora.

Over-feeding produces a determination of the blood to the head, and

then radical rabidity breaks out into rebellion. Over-feeding requires

bleeding. There is a tendency in every industrious nation to get on too

fast. Taxation is the fly-wheel which softens and regulates the motion

of the national machinery, the safety valve which prevents explosion,

while that accumulation of taxation called the dead weight is a

"clogger" to keep things down.

Whenever there is a "rising," it is a sure sign that taxation is too

light; consequently taxation should be so accommodated to the habits,

tastes, and feelings of the people, as to fit them at all points, like

well-made harness. If they grow too enlightened we can double the

window-tax; if they be disposed to kick, put on the breeching in the

shape of an income-tax; if they go too much by the head, we can raise

the price of malt, and, by way of a martingale, put a duty on spirits;

if they jib, we can touch them on the raw with "the house duty;" if they

step out too fast, tighten the "bearing rein" by 10 per cent. on the

assessment; and should any attempt be made to _bolt_, we can secure them

with a curb, by a tax on absentees.

The perfection of taxation is to make it as much as possible like an

insensible perspiration; or to cause it to _subtract_, like the vampire

when lulling the victim to sleep, by fanning him with the wings of

patriotism and the hum-hum of a liberal oration, on the principle of

"Bleeding made easy."

[Illustration: "FORKING UP."]

RULE IV.

MULTIPLICATION.

9 × 1 = 9.

Multiplication teaches a short way of adding one number together any

number of times. Its sign is a cat o'-nine-tails; its symbol a

whipping-post. Since the wonderful powers of the number nine have been

publicly discussed, we have had no more shooting at her Majesty, (Heaven

preserve her!) which shows the transcendant powers of arithmetical

argument. The Egyptian plague of frogs and flies exemplifies this rule.

In Modern Rome we have multiplication of fleas. In Modern Babylon we

have multiplication of bugs, particularly humbugs. In the West Indies we

have multiplication of musquitoes and piccaninies, and in the East,

multiplication of oneself, as in the case of Abbas Mirza and his 1000

sons for a body guard.

* * * * *

MULTIPLICATION OF LAWS.--This is a favourite amusement with our modern

legislators. It naturally leads to the multiplication of lawyers, whose

proper calling is to set people together by the ears, for the

multiplication of dissensions. The original type of this order was the

plague of locusts.

* * * * *

DOMESTIC MULTIPLICATION, or Multiplication of miseries. This rule is

performed by taking unto oneself a wife for _better_ or _worse_; then,

multiplying as usual, and, at the end of fifteen or twenty years, having

the young "olive branches" round about our tables.

* * * * *

MULTIPLICATION OF MONEY.--This is the most universal case in the whole

rule. The _multipliers_ are the _operatives_, who are placed at the

bottom, instead of the top of the arithmetical scale. They may be

ranged, in general, as in the following:--

A cotton spinner, 3½_d._ a-day.

Spitalfields weaver, 4½_d._

Brummagem, 5½_d._

These digits are to be _worked_ from fourteen to sixteen hours a-day at

the lowest possible fraction of pay. The product is to be set down in

the 3½ per cents. or invested in the first unjust war in which this

nation may be engaged; or the whole aggregate of sums may be multiplied

by monopoly.

[Illustration: LAWYER DIVIDING THE OYSTER.]

RULE V.

DIVISION.

Do not think I write in jest,

Though something in derision,

Look east and west, and north and south,

There's nothing but Division.

The State, with Whigs and Radicals,

Is split up and divided,

The Church, with hungry pluralists,

Is getting quite lop-sided.

A split is in the methodists,

The jumpers and the shakers,

A split is with the baptists too,

A split is in the quakers.

The Jews have split like gentile dogs,

And some are trying daily

To send Mahomet to the hogs,

In spite of Mahommed Ali.

The law is split, and fees are down

To stop the rise of lawyers,

And costs are cut, oh! quite in half,

Just like a log by sawyers.

_Divide, divide,_ the Speaker cries,

Each night with voice of thunder,

But yet the law thus made "so wise,"

Most likely is a _blunder_.

Division teaches how to divide a number into two or more _equal_ parts,

as in the division of prize-money.

Division is of great importance, whether political, ecclesiastical,

commercial, civil, or social. Nothing is more likely to destroy your

opponents than a _split_. _Divide et impera_ is the true Machiavelian

policy of all governments.

Numbers, that is the multitude, are to be divided, in a variety of

ways,--by mob orators, or by mob-sneaks, or by parliamentary

flounderers, or by mystifying pulpit demagogues.

The divisors should generally endeavour to work into their own hands,

and the dividends may be compared to fleeced-sheep, plucked-geese,

scraped sugar-casks, drained wine-bottles, and squeezed lemons.

* * * * *

SOCIAL DIVISION.--The divisions here may be a tale-bearer, a gossip, or

a go-between, and the divisors will "separate" to fight like Kilkenny

cats, leaving nothing behind but two tails and a bit of flue. In a

township, a volunteer corps is an excellent _divisor_: you may kill the

adjutant by way of a quotient, on the surgical principle of "Mangling

done here."

In the division of property by will, be your own lawyer, and your

property will be divided to your heart's content; for, as your heirs

will most assuredly be divided amongst themselves, when they have done

fighting over your coffin for what does not belong to them, they will

call upon the Court of Chancery to divide it--principally among the

lawyers, according to the _lex non scripta_.

In the division of profits, first take off the _cream three times_, and

then divide the milk.

[Illustration: THE LION'S SHARE.]

In all kinds of "Division of Money" endeavour to carry out the principle

of the fable. Like the lion when dividing the spoil, consider that you

have a right to the _first_ part, because you are a lion; to the

_second_, because you are strong; to the _third_, because no one dares

dispute your right; and to the _fourth_, because no one is so able as

yourself to defend it. This is the lion's share.

* * * * *

DIVISION OF TIME.--"_Tempus fugit_," and therefore the due systematic

and proper division of time, in a rational manner, is the bounden duty

of every "beardling." All philosophers and some kings, whether from

Democritus to Tim Bobbin, or from Alfred the Great to that merry old

soul, "Old King Cole," have divided their time equitably, according to

the maxim of Horace, "_Carpe diem, quam minimum credula postero_."

Modern life teaches and exhibits the same necessity for the rigid

division of the "stuff _life_ is made of," and the twenty-four hours may

be systematically divided, with great advantage, by young men, as

follows:--

HOURS.

1. To yawning, vertigo, head-ache and soda-water, say from one

to three, A.M. 2

2. From pulling off the night-cap to putting the first leg out

of bed 1

3. To "cat-lap," "broiled chickens," Lackadaisical Magazine,

"Dry Punch," and Gazette of Fashion 2½

4. To the study of "cash stalking," the art of post-obits, with

lessons from Professor Mœshes on the science of "Bondology."

(_Nocturnâ versate manu, versate diurnâ_) 1

5. To lounging, "dawdling," "muddling," sauntering, losing

oneself in "ins and outs," "nowheres," &c. 1½

6. To dressing for dinner, to getting on a pair of boots, half

an hour, swearing at coat quarter of an hour, selecting

vests half an hour, cursing pantaloons quarter of an hour,

shaving, and other unnecessaries 2½

7. To dining, wineing, brighting the eye, doubling the cape,

getting half seas over, going into port instead of finding

a champaign country 2

8. To dressing for opera, "titivating," "bear's greasing,"

curling, barbarizing, scenting, putting on opera countenance,

and ogling 1½

9. To tying on stock half an hour, to putting on gloves quarter

of an hour, to curling whiskers half an hour, to laying on

the rouge, &c. 1½

10. To bowing, scraping, hemming, hawing, yawning, toying,

soft-sawdering, salooning, staggering, cigaring, coaching,

and finishing 3½

12. To no one knows what--Nisi castè saltem cautè 5

---

24

LONG DIVISION.

Long Division is so called when a long time is taken for the division of

various sums, as in the case of the Deccan prize-money, or the Duke of

York's debts. In these cases, various persons are placed in the state

of _longing_--hence the name of the rule, which is a figurative

exemplification of "hope deferred."

* * * * *

RULE I--Teaches to work an expected legacy or an estate in reversion, or

a right of entail, with a "post-obit bond," cent. per cent. on a stiff

stamen.

* * * * *

RULE II--Teaches how to _wait_ for a living instead of working for one.

This is a hungry expectancy: yourself, in a consumption, with an

interesting cough, preaching as curate to an admiring congregation

principally composed of females, who bring jellies and jams,

pitch-plasters, electuaries, and pills, "bosom friends," and other

comforters, while the jolly incumbent, with his rosy gills and round

paunch, writes you once a quarter to dine with him, to see how well he

holds it.

* * * * *

RULE III. _Chancery Long Division._--This is an exemplification of the

"law's delay," and the rule is to be worked by giving the expectants the

"benefit of a doubt," which is not quite so pleasant in Chancery as in

criminal practice. The "Bidder" of this rule was John Lord Eldon.

* * * * *

RULE IV.--Beside long annuities, there are also long dividends. For

instance, in the case of Bamboozle, Humbug and Co. who lately declared

the third and last dividend of three-fourths of a farthing in a pound,

for the benefit of their creditors.

[Illustration: THE INSOLVENT TRAP.

"THE LAW BINDS, BUT THE LAW LOOSES."]

RULE VI.

REDUCTION.

Reduction is properly the "art of sinking." It teaches us, according to

Martin, to bring numbers to a lower name without altering their value.

When numbers are brought to a higher name, it is called Reduction

_ascending_, when to a lower, Reduction _descending_.

* * * * *

REDUCTION ASCENDING is to stand high in your own estimation, from the

convincing reason, that, as no one thinks anything of you, you ought to

think something of yourself. The visit of the Queen to Edinburgh raised

the baillies so high in their own estimation, that it took them three

hours to get up in a morning.

_Examples of Reduction ascending_ are to be found in the following

cases:--When a noodle is made a lord; 2. When Timothy Fig obtains a

baronetcy; 3. When Muggins keeps his "willa;" and when a beggar gets on

horseback.

* * * * *

REDUCTION ASCENDING FOR FEMALES.--Mrs. _General_ Swipes, Mrs. _Colonel_

Trashee, Mrs. _Major_ Minus, Mrs. _Alderman_ Bumble, Mrs.

_Common-sergeant_ Sprigings, Mrs. _Common-councilman_ Snigings, Mrs.

_Executioner_ Ketch, Mrs. _Beadle_ Blow-em-up, Mrs. _Corporal_ Casey.

_Reduction ascending_ is to be seen in the manufacturing districts; when

the body politic gets inflated, a "rising of the lights," that is, of

the _illuminati_, may be expected. In these risings the scum always gets

uppermost, and some political demagogue is ejected to parliament by a

revolutionary eruction--to be reduced to his own _level_ as a leveller.

* * * * *

REDUCTION DESCENDING.--

"Facilis descensus averni,

Sed revocare gradum, superasque evadere ad auras

Hic labor, hoc opus est."

This is the "old saw" Alderman Harmer used when he cut the city--or Lord

John in his "finality" speech--cut his own fingers.

POLITICAL REDUCTION.

There have been many examples of Political Reduction both in our last

and present ministry. The reduction of postage, so that it paid less

than the cost, was an exceedingly business-like act. The reduction of

cats'-meat in the storehouses at Plymouth, Woolwich, Portsmouth, and

Chatham, from a penny to three farthings a-day, was also an example of

legislative wisdom, and proved the maxim, "Sparus at the speketas

letouat the bungholeas."

The reduction of paupers' food to "doubly diminutive and beautifully

less" than that of the felon, is also "wisdom wonderful;" being a new

way of offering a premium upon crime, at about thirty and a third per

cent. It is presumed to have occurred with a view to the assistance of

Old Bailey practice, and of the Poor Law Commissioners, as it promotes

Coroners' inquests and saves coffins.

* * * * *

_Rule for the Reduction of Paupers._--Take "an operative," starve him in

the streets till he becomes light enough to make a shuttlecock of, then

place in his hands an order from an Edmonton magistrate, by way of a

feather; bandy him about from parish to parish till you are tired of the

game. Let him then fall into the lock-up of the station-house. Keep him

sixteen hours in a cold cell without food. Bring him before the Board,

put him on the refractory diet, water-gruel, poultice dumplings, and rat

roastings. Keep him till he becomes so thin as to lose his shadow, then

turn him into the streets to look for a job, with three yards of cord in

his pocket, and a direction to the nearest lamp-post, as an intimation

of what that job is to be.

A state may be _reduced_ in the same way by nip-cheese patriots. Such

"save-alls," when they lop off excrescences, bark the trunk--when they

prune redundances, let loose the sap. These "flint-skinners" grind down

professions, pare down dignities, sweat sovereigns, purge the

commonwealth, scour landlords, skin the army, starve the navy, scrape

religion to the backbone, sell the honour of their country for a mess of

porridge and its glory for a bag of moonshine; till at last John Bull

becomes as lean as a country whipping-post, and would hang himself, only

he has not _weight_ enough on him to produce strangulation.

[Illustration: "BLOWED PUFFERY."]

RULE VII.

PROPORTION.

GENERAL PRINCIPLES OF THE RULE.

Proportion is sometimes called the "Rule of Three," because a certain

system of conventionalisms has its origin in that, which is called, by

way of joke, the "Three Estates" of the realm--_King_, _Lords_, and

_Commons_; in other words, a _parliament_, so called from its being the

focus of palaver, in which originate those splendid specimens of

collective wisdom, known by the name of Acts of Parliament--because they

"won't act."

The theoretic proportion is, that numbers should be exactly

balanced,--that one sovereign should equal six hundred lords, that six

hundred lords should equal six hundred and fifty-eight commoners, and

that these should represent twenty-nine millions of people. Now, as the

interests of each of these estates are said in theory to be opposed to

each other, and as they are all theoretically supposed to pull three

opposite ways with equal force, it must follow that legislation would be

at a stand still, by the first law of mechanics, viz. that action and

reaction are always equal: but to prevent such a catastrophe of

stagnation, and to set in motion this beautiful machine, a pivot-spring,

in the shape of a prime minister, or prime mover, is superadded, and a

golden supply, fly, or budget wheel, is introduced, by which the

following subordinate, yet ruling principles are developed; and thus we

go on from age to age, making laws one day, and unmaking them the next,

for the sake of variety.

[Illustration: "OUT OF PROPORTION."]

THE WORKING OF THE RULE.

It must not be forgotten that this rule is one of proportionals, as its

name imports. It therefore teaches proportion in all its relations,

social and political; it is the rule of our country, and seeks to

develop that beautiful equality and justice, so conspicuous in all our

institutions, exemplified in the following well-known legal and

constitutional maxim, viz. "One man may steal a horse, but another must

not look over the hedge."

It is a maxim of English law, that punishment should be _proportionate_

to the offence, and have a relation to the moral turpitude of the

offender. Hence the seducer and adulterer only inquire, "What's the

damage?" By the same rule, it is held highly penal to sell the only ripe

fruit in England, roasted apples; and the stock in trade of the basket

woman is confiscated. She, too, is sent to the _Counter_--because she

is not rich enough to keep one with a shop attached.

[Illustration: CALLED TO ACCOUNT.]

This brings us to the _rationale_ of reward, and shows us the policy of

making a prison superior to a poor-house. This wise arrangement of the

collective wisdom of the Rule of Three (the three estates) is upon the

principle of _counter-irritation_, that is, the best way to administer

to the miserable is to inflict more misery, just as we put a blister on

one part to subdue inflammation on another, or set up a mercurial

disease to cure a liver complaint. On the other hand, we cure villany by

increased rations of beef, bread, beer, and potatoes, in accordance with

the maxim, that "the nearest way to a man's heart is through his

stomach."

[Illustration]

On the same principle of "Proportion," the operative is to have for his

share the pleasure of doing the labour; for if one man had the labour

and the gains too, it would be abominable, and destructive to all the

usages of society.

It is also strictly proportional, that we should pay not only for what

we have, but for that which we have not. _Thus_ church-rates ought to be

inflicted, not so much for the benefit of the church, but as the

substitute for that wholesome discipline of flagellation, unhappily

discontinued, and for the "good of the soul;" for if the spiritual

benefit be great to those who pay for what they receive only, how great

must be the reward of those who are content to pay for that which, they

not only do not receive, but which they will not have at any price!

Hence, it is possible that even _dissenters may be saved_--the trouble

of spending their money in other ways.

The "Tax upon Incomes" affords also a striking example of the doctrine

of Proportionals. It is so beautifully equalized, that the loss upon one

branch of trade is not to be set off against the gain of another, the

object of the act being, no doubt, to put a stop to trade altogether, as

the best means of placing things _statu quo_, the grand desideratum of

modern legislation.

"Bear ye each other's burdens" is a sublime maxim. The principle of the

lever is well brought to _bear_ in the doctrine of proportionals--and

shows how to shift the weight of taxation from the shoulders of the rich

upon those of the poor--

[Illustration: A SLIDING SCALE.]

The laws and regulations for the conduct of our civil polity and social

condition being founded on these divine principles, it is assumed as a

fundamental maxim, that "great folks will be biggest," and he who has

not learned that this is the ideal of true proportion, and who does not

recognise it in his practical philosophy, will be compelled to knock his

head against a wall to the day of his dissolution.

[Illustration: "BROKEN DOWN."]

RULE VIII.

FRACTIONS.

The word Fractions is from the Latin "Fractus," broken. A Fraction is

therefore a part or broken piece. A broken head is a fraction; a broken

heart is a fraction; a bankrupt is a fraction--he is _broken up_; yet a

horse is not a fraction, although he may be _broken in_--but his rider

may have a broken neck, which is called an irreducible fraction.

Speaking generally, therefore, a fraction may be considered as a

"Tarnation Smashification."

[Illustration: FRACTIONAL SIGNS.]

Fractions are of two kinds, _Vulgar_ and _Decimal_. Vulgar fractions are

used for common purposes, and examples may be seen in the plebeian part

of our commonalty, such as coal-heavers, costermongers,

sheriff's-officers, bailiffs, bagmen, cabmen, excisemen, lord-mayors,

lady-mayoresses, carpet-knights and auctioneers.

Vulgar fractions may be known by the way in which they express

themselves. They are more expressive than decimals; and the words, Go

it, Jerry--Jim along Josey--What are you at?--What are you

arter?--_Variety_--Don't you wish you may get it?--All round my

hat--Over the left--All right, and no mistake--Flare up, my covies--I

should think so--with those inexpressible expletives which add so much

to the force and elegance of our language, may be taken as specimens of

Fractions.

BREAKING UP NO HOLIDAY,

OR A

SALE BY AUCTION, IN BLANK VERSE.

By Doubledust Puffitoff, Esq.

[Illustration: "AN ANCIENT AND MODERN MUG."]

My Lords! Ladies and Gentlemen.

Cognoscenti, virtuosi, literati,

"Muffs," "mulls," and Flukins De Grati,

F.R.S.'s, F.A.S.'s and A.S.S.'s,

Curiosities of curiosity,

Cokletops and Old-bucks in variety,

"Court scum," "nobs," beaks, and humdrum,

And all that's rare and rum,

_Ad infinitum_,

Book-worms, bibliophilists, and antiquarians,

Soirarians, and Belle-Lettre-arians,

Single men of fashion, De Horsa,

De Calfa, De Goosa, De Donka,

De la De Palma de ston a,

Male Prima Donna.

Toad-eaters, lickspittles and glozers,

"Do nothings," "know nothings," and "dozers,"

"Tricksters," and "hucksters," and "snoozlers,"

Cozeners and bamboozlers,

Fumblers and mumblers,

Bunglers and stumblers,

Pokers and jokers,

Out and out "sticklers,"

And "very particulars;"

Oglers,

Bogglers,

Apron danglers,

And police "manglers,"

Bargain hunters--and grunters,

Bran-new saints made out of old sinners,

And young beginners,

Old bucks,

Lame ducks;

"Curmudgeons," "flats," and "gudgeons,"

Come all that's fashionable,

Femmes de Paradisiacal,

Whimsical and lackadaisical,

Languishing or sighing,

Dreaming or dying,

Harpies and beldames, dowagers and vidders,

And be my bidders,

"Black legs" and "blue stockings," walk up, walk up,

And see

What you shall see,

A perfect unique

Display of art, and a _Luscious_ Natura,

As I before said when I set you all agog,

In this here seven-and-sixpenny catalogue.

LOT I.

Here, Ladies, and Gentlemen, is a lot,

Being the earliest that must "go to pot."

I do declare,

'Tis very rare,

And mighty curious,

And nothing spurious,

Preserved from bye-gone ages,

Embalmed in sacred pages,

Of ancient poetry.

Who'll bid, who'll buy?

Be not shy,

Bid high.

Behold--the identical cupboard,

Of old Mother Hubbard;

The identical hat

The little dog wore

When nursing the cat;

The identical _pipe_

The little dog smoked

When she brought him the _tripe_;

The identical coffin

That set the dog laughing,

With these two are sorted,

As "neat as imported."

A brick of the corner

Of little Jack Horner,

Who eat of a Christmas pie;

He put in his thumb

And he pulled out "a _plum_,"

As you must do if you buy.

LOT II.

The next most splendid, _recherché_ and venerable,

Spick and span old antique, ingenerable

By modern authors or by modern art,

A _sui generis_ lot, not to be _matched_.

By _Lucifer_ himself not to be catched

By an old song, as the last was--

I speak _poss_.

_First_ is an original, aboriginal,

Primary, first hand, virgin copy,

Mouldy, musty, cobwebby, and ropy,

Of Dean Swift's "Maw wallop,"

With notes by Mrs. Trollope,

Which wraps the whole up

So decently, it takes the soul up

To the third heaven of ecstasy;

To which is added, An Essay upon Jalap.

_Second_, is the missal of old Nick,

Richly illuminated with flames ad flamina,

Fresh from "Blazes;"

Its smell of brimstone is sublime;

'Tis dedicated to the Ranters

And the Canters

Of Exeter Hall in the dog days,

Cum multis aliis ad gammona.

Who'll bid for this whole lot? one thousand--two,

Three, four, five, six,--say seven, and see what I will do.

"Gone!"

Doctor Lardner, I've knocked it down to you.

LOT III.

Now come the gems divine,

Each gem a shrine,

Whence men may fish up,

And after dish up,

Without a Bishop,

A heavenly worship;

And adore

These relics before.

_First_, is the vase de Barberino,

The Helmet of Mambrino

So renowned

In all climes

In which the cat was drowned;

Don Quixote's spear, and shield, and armour,

Lately worn by Alderman Harmer

Against the "Times."

_Second_, the sword of Jack the Giant Killer,

Made o' th' siller

Spent at the Ipswich election,

Braving detection.

_Third_, is the wishing cap of Fortunatus,

Worn by all young ladies in their teens,

That when they're married they may have the reins.

_Fourth_, is the night cap of the Cock-lane ghost,

When he fright'ned

The enlight'ned

Chartist host.

_Fifth_, is a stone out of the wall,

Of Pyramus and Thisbe,

And a charmed echo of Nick Bottom's roar,

Or louder snore

Of Mr. Muntz, when he thinks Lord John a bore.

_Sixth_, one of the seven-leagued boots, in which is

Made the interminable of Cobden's speeches,

Loose as the old coal-heaver Huntington's

Heaven-born breeches.

_Seventh_, the bottle of the bottle-conjurer,

Into which Lord Mounteagle, to please himself,

Can squeeze himself,

When in some plan of plunder or of pelf

He wants to ease himself.

_Eighth_, is the toe nail of the Dragon of Wantley,

Which Berkeley Grantley

Used as a sort of scarifying razor

Upon a Fraser.

_Ninth_, is the dish of Corn Law furmitory,

Into which Tom Thumb (Lord John) did jump when he

Let in another Ministry.

_Tenth_, a child's caul, a certain preservation

From drowning, useful to the nation,

In this great age of tea-to-tality,

And used by Mr. Buckingham

As an hydraulic ram,

To keep him dry,

When round the world to go he late did try.

_Eleventh_, is a bottle of pigeon's milk,

Soft as silk,

Which Boreing to the "Factory" deputation sent,

By way of reparation

For the depredation

Of sessions of misgovernment.

_Twelfth_, is the story of a cock and bull,

Edited by queer Joseph, and oft related to the house

When full.

_Thirteenth_, the eyelid of Homer, and the eye

Identical and very certain,

Of Betty Martin.

And, lastly, now to end this, Billy Martin, Peter

Parley, Prattle,

Are three blue beans in a blown bladder.

Rattle, bladder, rattle.

[Illustration: KNOCKING DOWN THE LOT.]

[Illustration: DONE BY INTEREST.]

RULE IX.

INTEREST, &c.

To think of getting on in this world without Interest, is ridiculous.

Place and Promotion are not for Fitness or Worthiness, but to serve

particular _Interests_, private or public; and yet a number of very

simple persons, who have as large a green streak in them as a _sage_

cheese, without its _sageness_, are continually wondering that virtue

and talent do not get all the "good things" of a vicious community.

Punch forbid! Is not virtue declared to be its _own_ reward? and as to

talent,--let a man be content with _that_. It is a positive monopoly to

covet _wit_ and _money_ too.

[Illustration: AT A PREMIUM AND DISCOUNT.]

To take care of our Interest is the great law of Nature, and is

universally followed. Every one for himself, and Fate for us all, as the

donkey said when he danced among the chickens, is as profound a maxim as

the _gnothi seauton_ of Plato. "Take care of yourself" is of more

importance than "Know thyself." To take care of oneself is a science

which comes home to every man's business and bosom. It is "wisdom"

identified with our personal character. It is philosophy turned to

account. It is morality above par. It is a religion in which "every man

may be his own parson," find his Bible in his ledger, his Creed in the

"stock-list," his Psalter in the tariff, his Book of Common Prayer in

the railway and canal shares, his Temple in the Royal Exchange, his

Altar in his counter, and his God in his money.

[Illustration: THE OLD AND NEW PRINCIPLE--BOTH WITH CREDIT.]

* * * * *

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