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CURIOUSFIGURING.
It’s a Way the Russian Peasant
Has, and It’s an Enigma.
A UNIQUE WAY TO MULTIPLY.
It Is Simplicity Itself and Absolutely
Accurate, but the Why and Where
fore of the Method and Its Results
I Arp a Puzxle to Mathematicians.
This Is not a meaningless, freaky
twister of a puzzle. But it is a puzzle.
It Is the method by which Russian
peasants multiply, and as yet the
boasted mental superiority of America
cannot solve the simple riddle of the
Slav.
Suppose you want to multiply two
numbers together. Divide one of the
numbers by 2, Ignoring the frac
tions. Continue the process until the
divided column reaches one. Then dou
ble the other number and continue the
process until It equals tn lines the first
column. Then whenever a number is
even in the first column strike It out.
together with Its corresponding num
ber in the second column. Add the sec
ond column, and, 10, the answer! Now.
iwhy does It do It? There seems to be
Bo reason for it, but what is it? Can
you work it out?
It is Infallible. It has never been
known to fail. Bnt what principle of
mathematics is behind it ail? Perhaps
It is some queer freak of numbers,
some one says, but such things are not
to be turned aside with such generali
ties. Mathematics is not built upon so
lax a system. There is some rule be
hind it all.
Take the simple multiple 12 by 10.
Obviously the answer is 120. Try it
the Russian way. Place 12 in the first
column and 10 in the second. Divide*
12 by 2 and multiply 10 by 2 and place
the respective answers beneath the
sums from which they were derived.
It will stand 0 and 20. Dividing 6 by 2
equals 8, and multiplying 20 by 2
equals 40. Continuing, 8 divided by 2
and throwing away all fractions will
be 1. while 40 multiplied by 2 will be
80. Now strike out all the numbers in
the first column which are even and
with it their parallels in the second
column—l 2 and 0 will go out, leaving
the last two parallel results. Ignoring
the first column and adding the num
bers In the second, the answer will bo
the result of 40 and 80, or 120.
The questions are: Who ever worked
it out? How did he start?
Now try working the problem by put
ting 10 in the first column and sub
jectlng it to the dividing and 12 to the
multiplying It will result like this
We will buy a pound of Cotton for
every pound of Tobacco we sell
We realize, with all the residents of the South,
the present financial stringency due to the cotton
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For every pound purchased of all of these famous, popular brands of
tobacco and cigarettes (counting 1,000 cigarettes equal to five pounds
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accordance with our circular to dealers dated Sept. 28.
, • <
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THE AMERICAN TOBACCO COMPANY
RUSSIA’S IMPERIAL INFANTRY.
-
EIOHM bn
Photo by American Press Association.
This is a picture of the czar’s troops made in Galicia.
Ten and" 12 Wil! become 5 and 24,
which will tn turn be changed to 2 and
48 and finally Into 1 and 96. Then,
striking out the numbers 10 and 2 with
their corresponding numbers 12 and
48, leaving the second column figures
24 and 96 to be added—this becomes
120.
There is no escaping it. No matter
how large the score, it comes out right
with distressing surety. Take the odd
numbers. Perhaps there is some twist
in the scheme that applies to even
numbers. Take 25 and 15. Going
right down the column they become 12
and 80; then 6 and 60; then 3 and 120;
then 1 and 240; 12 and 6 go out. taking
with them 30 and 60. Add 15, 120 and
240. Answer, 375. Multiply 25 by 15ac
cording to our methods. Correct—37s.
Now, why is it that the even numbers
must be eliminated on the right side
when they do not count at all In the
addition?
It Is plain to be seen that all the
numbers In the second column will be
even, but by what freak of calculation
are those corresponding to the even
numbers in the first column of no ton
sequence when the correct sum is to be
obtained?
Where no even number respite in the
first column, as in 15 x 13. there is no
complication; 15 and 13 in the process
become 7 and 26. then 3 and 52 and
finally 1 and 104. Adding 13, 26, 52
nnd 104 equals 195, the correct sum
There can be no multiplication in fig
urea which will divide down to a place
where there are no odd numbers, foi
the final number must always of neces
sltv be 1. In the sum 16 x 4, 16
divides itself into & 4. 2 and 1 succes
sively. while 4 Iwcomes 8. 16. 32 and
H 4 AU <*t rhp i>:iir» are crossed out
with me exception or i anil 64. In that
case the addition of the second column
will be 64.
Despite the puzzling nature of this
formula, there is some mathematical
principle by which it can be explained.
There is some rule awaiting the fertile
minds of the workers by which this
“stumper” can be demonstrated to be
simplicity Itself.
Another quizzer: Why must frac
tions be discarded? How is it that the
result will be true when several units
are cast aside? For example, consider
the number 47. Dividing by 2 the
result will be 23. One whole unit is
thrown away. Twenty-three becomes
by the same process 11. another unit
discarded. Eleven resolves itself into
5, making the third unit passed by. The
next step results in 2 and then 1. but
why is it that these three units count
for nothing?
The mere Tact that the explanation
is near, that the whole thing is simple
if the key can be found. Is one that
cannot help but draw attention to this
novel means of adding.—Philadelphia
North American.
The Ward "Divan."
The word ■•divan” means ’’council
of state’’ in Arabic and Turkish. Both
Milton and Pope use the word in the
sense of council in general. From
meaning council the word came to
mean council chamber nnd from that
the arrangement of cushions round the
chamber. A divan in this sense is
strictly a row of cushions ranged along
the walls of a room, either on the floor
or on a raised step or on a bench.
Hence we speak of a sofn or couch as
a divan and of a thickly cushioned
chair ns a divnn chair.
A Searching Criticism.
Five-yearold Herbert. scion of a
bookish family, had learned to read so
early and so readily that his first
glimpses of storyland were growing
hazy In his memory. One day be con
fided to his mother:
“Ruthle showed me her new book
today, and It’s the queerest thing you
ever saw!- Why. it Just says: ‘ls it a
dog? It Is a dog. Can the dog run?*
and a lot of things like that! Course
I was too polite to say so, but it didn’t
seem to me the style was a bit Juicy!”
—Lippincott’s.
RESPONSIBILITY.
All persons possessing any
portion of power ought to be
strongly and awfully impressed
with an idea that they act In
trust and that they are to ac
count for their conduct In that
trust to the one great Master,
Author and Founder of society.
—Burke.
It is meat and drink to me to
see a clown. By my troth, we
that have good wits have much
to answer for.—“As You Like
It," Shakespeare.
Men’s minds are as variant as
their faces. Where the motives
of their actions are pure the op
eration of the former is no more
to be Imputed to them, as a
crime, than the appearance of
the latter, for both, being the
work of nature, are alike un
avoidable.—George Washington.
OLD WAGON TRAINS
There Used to Be Exciting Times
on the Santa Fe Trail
TRICKERY OF THE REDSKINS.
Thsy Employed All Sorts of Russa to
Plunder ths Caravans and Murder the
Whites—A Bit of Treachery and ■
Battle With tho Troopere.
As the overland trade between the
American settlements in Missouri ami
the Mexlexa pueblos tn New Mexico in
creased In value following the opening
of the Santa Fe trull the greater in
ceaslty of adequate protection for the
traders and their stocks was met by
both the United States and Mexican
governments furnishing military con
voys. The troops acted tn a capacity
not unlike that of warships guarding
merchant vessels from piratical at
tacks. for no pirates were more per
slatent or bothersome than the sav
ages of the plains.
The caravans usually left Franklin
and later Independence and Westport
In the spring. United States troops
would accompany them to the caches
on the Arkansas river; then Mexican
troops would guard them to Taos, and
sometimes even to Santa Fe. The re
turn trip later in the summer was
similarly protected. Sometimes two
trips each way would be made in a
year.
The presence of troops usually kept
the Indians from making a direct as
sault on the trains. Even in his brav
est moments an Indian has small rel
ish of a fight on anything like equal
terms; consequently the savages devel
oped their aptitude for treachery and
deceit
Every sort of ruse their fertile brains
could devise was used to separate the
various divisions of a train or lure a
small part away from the main con
voy, where It could be plundered and
the whites murdered without serious
danger to the attackers.
A favorite plan and one which many
times hoodwinked large parties Into
suffering some loss was for a small
party of Indians to appear at the camp
with protestations of peace. For dip
lomatic reasons the reds would be hos
pltably received nnd their request to
eat and sleep in the camp oftentimes
granted. That night the small party
of Indians would attempt to stampede
the live stock of the train. If success
ful n large force of savages would be
concealed near by to aid.
Some ruses were far cleverer than
that One which completely fooled a
Mexican officer and came near being
the cause of his death was believed by
the traders to deserve the palm. That
officer. Colonel Vlscarro, with 100
troopers, was escorting an American
wagon train through the foothills of ,
what Is now southern Colorado when
a party of Indians appeared and asked
for a parley.
The American traders refused the re
quest The Indians withdrew and held
a consultation. When the convoy
reached the Cimarron river the sav
ages appeared again. One rode for
ward with an arrow tied transversely
across the shaft of a spear, a symbol
of the cross. Vlscarro was a Catholic
and honored this novel banner. He
rode out and spoke to the brave.
•‘lf the Americans will move aside
to some distance we will lay down our
arms and surrender,” the Indian said.
. ‘Certainly, red brother," the colonel
replied. He ordered the wagons to re
tire beyond a ridge. Hardily had they
disappeared when a large force of
Indians rose from concealment behind
the sand dunes and poured a destruc !
tive Are into the Mexican ranks. Only
the heroism of a Pueblo Indian guide
with the troops saved the colonel from
death. He heard one of the Comanches
yell, "Now for the chief!” which was
the signal for the treachery to begin
The Pueblo Jumped in front of bls
colonel and received a charge of shot
aimed at the'officer.
The firing was beard by the Ameri
cans, who returned to the troops. They
rode swiftly to the flanks of the at
tacking Indians and charged. Caught
between two fires, the savages soon
scattered In flight, but not until they
had been bandied severely tn a hand
to hand encounter, where clubbed rifles
and tomahawks played a part. Colonel
Vlscarro was profuse In his thanks to
the Americans.—Kansas City Times.
College Qarb.
"Some newfangled scarecrow you
have in the field, Hiram?”
“Ne; that’s my boy. He insists on
wearing bis cap and gown while hoe
ing potatoes. He graduated from an
agricultural college, you know.’’—Kan
sas City Journal.
SAVES DAUGHTER
Advice of Motta no Doubt Pre
vents Daughter’r Untimely End.
Ready, Ky.—“ I was not able to do
anything for nearly six months,” writes
Mrs. Laura Bratcher, of this place, “and
was down in bed for three months.
1 cannot tell you how 1 suffered with
my head, and with nervousness and
womanly troubles.
Our family doctor told my husband he
could not do me any good, and he had
to give it up. We tried another doctor,
but he did not help me.
At last, my mother advised me to take
Cardui, the woman’s tonic. 1 thought
it was no use for I was nearly dead and
nothing seemed to do me any good. But
I took eleven bottles, and now 1 am able
to do all of my work and my owa
washing.
I think Cardui is the best medicine In
the world. My weight has increased,
and 1 look the picture of health. ”
If you suffer from any of the ailments
peculiar to women. get a bottle of Cardui
today. Delay is dangerous. We know
it win helo you, for it has helped so
many thousands of other weak women
in the past 50 years.
At all druggists.
CtaUanootA Mndleim Co, LaAN*
I Savings Bank |
Mr 111111 11l
■
ESTABLISHED 25YEARS Hi
-ii-J JB O/ I
® w mi
Insl 111
Kn VH BRBLAKELY RTDANIEL i
?iM PRESIDENT VKX-PftES |
J H SMITH EttGRIfHN I
CASHIER ASSI-CASHIER I
Clock
BANKING BUSINESS |
n . ------ JI
DIRECTORS:
J. P. NICHOLS. R. T. DANIEL. 4 *
B. R. BLAKELY. J. H. SMITH.
L. P. BLANTON. J. H. STEVENS.
■ 111 HI N... , I "'I ' T
Now Is The Time
to build that new house or to repair the old
one —to make the old one look new with our
MASTIC PAINT
The old barn needs a coat of
Pee Gee Barn Paint
Get our prices on Lumber, Shingles, Windows,
Doors, Lime, Cement, Wall Plaster, Mastic
Paint and Shingle Stain, White Wash and
Paint Brushes, Lead and Oils.
I. P. Blanton & Son
Phone 346. Corner 6th and Solomon Sts.
BUGGIES AND WAGONS
CALL ON US FOB
NORMAN and BARNESVILLE BUGGIES
STUDEBAKER and WHITE HICKORY WAGONS
HARNESS OF ALL KINDS
We are now in the market for mules. Will buy your
mules or trade for them.
B. B. BROWN COMPAN Y
West Taylor Street. GRIFFIN, GA.
NOTICE TO CREDITORS.
In the District Court of the United
States for the Northern Dis
trict of Georgia—ln Bank
ruptcy.
In the matter of Jesse L. Durham,
Bankrupt—ln Bankruptcy.
To the creditors of the above
named Jesse L. Durham, of Griffin,
county of Spalding and district afore
said, a bankrupt.
Notice u hereby given that on Sep
tember SJ, 1914, the said Jesse L.
Durham was duly adjudged a bank
rupt, and that a meeting of his credi
tors will be held at the county court
house at Griffin, Ga., on October 12,
1914, at 11, o’clock a. m., at which
time th• said creditors, may attend,
prove their claims, appoint a trustee,
examine the bankrupt and transact
such other business as may properly
come before the meeting.
W. E. H. SEARCY. JR., Referee.
Griffin, Ga.
GOOD GULF GAS
AT
J. C. Edwards <£ Sons
FOR SALE
W. Taylor St., 9R.H. 14 *2,950
W. Poplar St., 7 R. H. 3-4 a., $2,500.
S. Hill St., 9 R. H. 1-2 a., 5.760.
W. Tinsley St., 8 R. H. 1-2 a.53,000.
W. Broad St, 6R. H. 1-2
S. 6th St, 6 R. H. 1-2 a, $3,750.
W. Poplar St., 9 R. H. and lot.
$5,250.
S. 13th St, 9 R. H. 1-2 a., $2,100.
W. Meriwether, 7R.H. 2 a., $2,100. !
E. Broadway 7 R, H. 3-4 a, $3,000.
E. College St., 6 R. H. 1-2 a.,
N. Bth St, 5 R. H. and lot, $750.
$3,500.
N. Hill St 6 R. H. and lot, $1,200.
W. Ga. Ave., 5 R. H. and lot $750.
N. 9th St., 4 R. H. and lot, $650.
S. 6th St, 9 R. H. and lot $5,000.
S. 14th St, 6 R. H. and lot $3,250.
200 acre farm, $3,500.
100 acre farm, $5,000.
215 acre farm $8,500.
310 acre farm $15,500.
312 1-3 acre farm. $25,000.
86 acre farm, $4,800.
200 acre farm, SB,OOO.
W. Taylor st, 1-2 acre, $1,375.
W. Taylor St., 1-4 acre, $1,250.
W. Taylor St, 1-4 acre, S6OO.
N. Hill St, 7 lots, S7OO.
FOR RENT.
11l W. Taylor St, Store.
N. Hill St, store.
W. Broadway, store.
Hill St, nice office.
Solomon St, niee office. ;'_Z
Residence, W. Solomon St
Residence, S. Sth St
Residence, W. Poplar St
See Me About Tear Fire Inaaraaea.
e s. McDowell.
Real Estate a*d lasaraaca.