The Indianapolis times. [volume], August 04, 1933, Home Edition, Page PAGE 10, Image 10

About The Indianapolis times. [volume] (Indianapolis [Ind.]) 1922-1965

Image provided by: Indiana State Library

                
PAGE 10
—Dietz on Science — *
'IMPOSSIBLE' IS
APPLICABLE TO
VARIOUS POINTS
Squaring the Circle and Tri
secting an Angle Can't
Be Done.
BY DAVID DIETZ.
*rripr> Howard Milr
Mussolini, in a recent interview
with Emil Ludwig is quoted as sav
inf 'There is no such thing as
the impossible
Dr Edward Kasner. professor of
mathematics at Columbia univer
sity, comments on that by saying it
mav be true in the domain of
statesmanship or physical invention
but that it certainly is not true in
mathematics
Three problems upon which many,
men have spent long hours of
thought and work through the cen
turies are all -mp< ibk Kasner
says They are "squaring the circle."
“doubling the cube." and "trisect
ing an angle "
Ever since the days of the Greek
geometers, savants and their ama
teur pounterparts have tried to
solve these problems
Bv “squaring the circle" is meant
the construction of a square equal
in area to a given circle, by the use
of onlv two instruments, namely the
ruler and the compass. It is also
.'•penned that the instruments must
be used a finite number of times.
Obviously, anv process requiring an
infinite number of steps is no real
solution.
It Is. of course easv enough to
construct a square equal in area to
a circle if we mav use other meas
uring instruments But the problem
is to do if with compass and ruler
by the axioms of Euclid's geometry
“Pi" Enter* Picture
The Greeks couldn't solve the
problem, neither eould the Romans,
nor the Arabic and Jewish savants
who kept alive the torch of learn
ing after the fall of the Roman em
pire. European scholars attacked the
problem without avail in the Rc
naissanre and thereafter.
Now Dr. Kasner points out that
just because a problem seems diffi
cult is no sign it mav not have a
solution. For example, geometers
tried for centuries to construct a
regular polygon of seventeen sides.
But in 1796. Gauss, then 19 y-ars
old. found an elementary construc
tion.
The case of squaring the circle
however, is different. In 1882. Lin
deinann. a German mathematician,
showed that the problem was im
possible. His proof is based upon a
demonstration of the fact ’hat pi."
the ratio between the circumference
and diameter of a circle, is trans
cendental.
Bv “transcendental" the mathe
maticians mean that it is "incapable
of being defined by any combina
tion of a finite number of co-rffic-,
irnts." Mavbe you had just brttrr
lake their word for that.
The point is that with ruler and
compass, it is only possible to per
form what are known as rational
operations and the extraction of
square roots. Since squaring the j
circle involves pi." and since this
number can not be expressed by;
such operations, the problem can
not be solved.
Futility Known in 1882
Dr Kasner says that since 1882
no one has the moral right to waste
his tim? trying to square the circle.
The “doubling of the cube." that
is. the construction of a cube of
double the volume of a given cube,
is the second problem which is im
possible. Dr. Kasner tells us. That
is because it involves the cube root
of two and there is no way of ob
taining it with ruler and compass.
Tlie problem of doubting a square,
however, is a very easy one. You
probably knew the answer when
you were a sophomore at high school
although you may have forgotten
it bv now
Merely draw the diagonal of thp
square and erect a square upon it.
This new square has double the area
of the original one
.S-e now if you remember enough
algebra and geometry to demon
strate the proof.
It is impossible to trisect an angle
with only compass and ruler be
cause this problem also invioves
cube roots which can not be con
ducted with those two instruments
alone.
Another "Impossible"
Some readers may object to the
use of the word “impossible" in any
:tatoment. But Dr. Kasner points
out that it is not difficult to set up
impossible examples in mathematics.
For example, try to find two odd
numbers whose sum is 21
It looks very simple, doesn't it?
But it is impossible just the same.
The reason? The sum of any two
odd numbers is always an even
number. Try a few examples and
see for yourself.
There are plenty of other im
possible problems known to mathe
matics. although amateur mathe
maticians seem to concentrate on
the three already mentioned.
AIMEE TO TAKE STAGE
ON NATION-WIDE TOUR
Angelus Temple Board Vote* Ap
prox.il of Evangelistic Appearances.
Hy I itiltd Prt
LOS ANGELES. Aug. 4 Atmee
Semple McPherson-Hutton will go
on the stage, but not with her
estranged husband. David L. Hut
ton. Jr.
The board of elders of Angelus
Temple, of which Mrs. Hutton is
pastor, voted approval of a plan for
a series of personal appearances by
the evangelist in the largest thea
ters of the land.
Her tour will be primarily to
spread the "four square" gospel, ac
cording to Mrs Hutton's plans.
Even while the ciders were nod
ding in approval as they listened to
her program. Hutton was singing
songs of his own composition in a
Hollywood theater and “wise-crack
ing" about the theatricals of An
gelus Temple.
LAWN FETEFOR TROOP
Event Saturday Night Sponsored
by Parents' Counril.
Mrs. Harry Bvrkett has been ap
pointed general chairman of a
law n fete, sponsored by the parents'
council of Boy Scout Troop 43.
which will be given Saturday night.
Aug. 13. at Linwood avenue and
Michigan street.
The program will include concert
by the Knights of Pythias uniformed
band.
Contract Bridge
BY \V E. >1 KENNEY
Americas Bride* Lracoc
\ QUESTION Often asked r> -
iY garding the coastructive one
over one system of bidding is. “Do
weak third and fourth hand open
ing bids ge* you into ary trouble?"!
I would lik> to answer this by sav- \
ing that I seldom ever have seen a
good player using this system of bid
ding get himself into trouble when
plaving rubber bridge.
However, occasionally, when plav
ing duplicate bridge, a weak third or
fourth hand opening bid may lose
a few match points. However. I as
sure you that even here it will
gain you manv more points in a
years time than it will lose, when
properly handled. .
The following hand, which came
up in a recent tournament. i< an
interesting example of this particu
lar point. Generally, if one over
one players sat North and .South
on this board they lost, while if
they sat East and West they won.
Under all systems South, the deal
er. will pass, as will West. One
over one players who believe in
weak third hand opening bids will
open in the North with one heart.
East will overcall with a spade.
South will bid two hearts. West will
bid two spades and North must pass.
Remember that while in this
system you are given the right to
make a weak third hand opening
bid. you must never enter the bid
ding again unless you have a sound,
legitimate bid.
man
EAST will pass, and it South does
venture to bid three. hearts,
West will go three spades, which is
exactly what Blast and West can
make.
Os course, if West elects to dou
ble three hearts, it cah be beaten
two tlicks. So here we find that
A lO-3
VQ-8-6-4-2
♦ K-8-5
*A-3-2
*K-8-7- NORTH A A-Q
---6 fe 2 5-4-2
VK-7 uj £ VJ-3
♦ J-10-6 £ “* ♦ Q-9-7
A Q-J- +K-7-4
10-5 [SOUTH
AJ-9
VA-10 9-5
♦ A-4-3-2
*9-8-6
one over one players opening with
a weak third hand will lose on this
particular board.
However, supposing that a pair
of one over one players are sitting
Ea.st and West, and those believing
in strong third hand bids are sit
ting North and South. In this case
South. West and North all will pass.
Most, one over one nlavers will
open fourth hand in the East posi
tion with one spade. If South
passes. West can only bid two
spades whirh East, of coursp. will
pass. At no time will East and
West, playing the constructive one
over onp system of bidding, arrive
at a four spade contract, even
though East opens with a hand as
weak as this.
One North and South pair, after
North had opened the contracting
with one heart, were able to hold
the contract to two spades.
South opened the five of hearts.
Declarer must now guess whether
North holds the ace or the queen of
hearts. If declarer guessed wrong,
playing the seven of hearts. North
would win with the queen and then
return a small heart, South win
ning with the ace.
iCopyright. 1933. by NEA Service. Inc.)
BOOKS GIVEN BUTLER
Bobbs-Merriil Head I* Donor of 225
Volumes for Library.
Butler university library has been
presented with 225 volumes of
English and American law encyclo
pedias by Charles C. Kryter, vice
president of the Bobbs-Merriil Pub
lishing Company, according to Le
land R Smith, university librarian.
The gift includes the American
and English Encyclopedia of Law.
American Decisions. American Re
ports. Encyclopedia of Evidence and
the Encyclopedia of Pleading and
Practice The books have been
cataloged and included in the uni
versity reference department.
Recognize Him?
■
HORIZONTAL Answer to Previous I’u/./.le picture is a
1 First name of I* M E L i 'a £ a'Q h A Q famoua ?
man in picture. D*R aH O S*EBS! !:! Miding place
fil.ast name of u^jjrjo’TlDlllOPlfT 0? foP food
man in picture. Tie/eMnE GAT E*bjfVci 15 A he
sS =
chestnut. N§H&IWu
16 Water wheel.
16 Chum. * 21 A sreat lake.
-<t To turn aside. J IT. To tug.
22 Sand. M AHOHID O AHwO 24 Street cars.
: Lawful. It AjpPDl A.NiSHw 27 Vigilant.
Being only. [T Q ANS.ATL ANT Icl 26 Lets it stand.
.’6 Sheltered metals, called 56 Bone. se,$ e,f ‘
P |ac * chlorines. 57 Entailed. 3o To choose by
27 The pictured 42 Solid tcombin-59 Postscript a ot ‘
man is an • inc form!. tabbr.). 35 Dye.
of many plays 4 4 Measure of 60 Second note. 36 t pon.
ipl.t? area, 611'nnecessarv. 3S Company of
2 1 * To perish. 45 Cathode VERTICAL soldiers.
50 Exists. tabbr). ‘ 40Tt^^tir.
r. 1 Hen fruit. 47 To reprove. 2 Weird. 41 pictured
.12 Crow ins out. 4S Company STo leave out. .man is also
54 Half an em. tabbr.). 4 Inlet. a star?
35 Since 4** To soak flax 5 Crain 45 Serpent
37 To scorify. 31 Belated. 7 Railroad. monster.
39 Elements 52 Measure. S Box. 46 Fade s nest.
hith form 55 Assam silk- 9 Paragraph. 50 Rifle,
e.ilts by direct worm. D Surfeited. 54 Conjunction,
union w ith 55 Parson bird. 11 The man in thesS Deity.
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—*-■ -►— 1
SIX NEW OILING
PROJECTS ARE
BEGUN IN STATE
Commission Bulletin Lists
General Condition of
Network.
Large mileage reduction in the
number of freshly oiled roads and
addition of six new oiling project;,
featured the state highway com
missions road bulletin issued today.
General conditions were listed as
follows:
Rod * Hebron to Poner-Ij* Portt
eo'in'v line i*ntv-one mile*, detour
Road 14 From Road 43 rM. Seven
mile detour From county line to
junfion with Road 9. detour
Road 2! North city limits to Muncic
to Jonesboro Detour change* daily.
Road 32 Hamilton-Boone county line
to Noblesviile. detour
Road 3S At Morgantown r-o detour
Road 37 From English to Sulphur De
tour available
Road 44 Liberty to Ohio line No de
tour. _ , .
Read 46 From Naahvilie to Columbus
No detour. „ .
Road 50 Vallonia to Leesville. No de
tour marked
Road sft- From Salem east.
Road 58 At Heltonsville
Road 60 Between Salem and Hamburg
No detour.
Roue 62 From Madison to China. No
detour . _
Road 64 From Road 35 to Georgetown.
No detour _
Road 67 From Junction with Road 39
to four and one-half milea north. No de
, tour available.
Road 102 From Junction Road 3 to
Tri-Lakes. Six miles detour.
Road 129 From Vevay to Cross Plains.
No devour available
Road 136 From North Salem to Dan
ville Detour markeo
Road 244—Andersonvilie to State Road
29
Road 227 Middlesboro to Wavne. Ran
dolph conn's line Thirteen-mile detour
Road 350 From. Milan east No de
tour Detours due to construction arc
Road 1 Demur tn RlufTton. for hfß-.v
traffic onlv. is five and one-haif mik*
good eravel Bridge limited to eight-ton
taoacitv . , _
Road 3 Detour from (unction of Roads
3 5 and 18 to 2 5 miles north of Road 11R.
s thirteen miles via Warren, fair gravel
r °Dc’Oiir from 7 mile south of Vernon at
lunruon of Road 7 and 3 to four miles
•ouih five and one-half miles fair gravel
and stone detour _ . _
Road 5 From the tunct ion of Roads 3.
5 and 18 use same detour as listed for
Road 3 . ......
Road 7 Detour from east ettv limits of
Cciumhus south, is eight miles, good
gravel
Road 8 Bridge run-around at two miles
nr** of Junction with road 43 Detour
from Crown Point west, is nine miles.
Paved surface
Road 10—Detour from Illinois ea.st is
ten miles, all over pavement.
U S Road 20 Detour from west of
Chesterton, is 1 4 miles for w est-bound
traffic. 22 miles for east-bound traffic,
good stone. ,
Road 21 Drive carefully over new pave
ment south of Peru. Detour from seven
miles southeast of Peru to four miles west
of Marion.
Road 44 Detour from Budd, east, at
junction road 35, is four miles good
gravel
U S Road 50 Detour from Shoals to
Bedford is forty-two miles over Roads 1.-0
I and 37. Detour from Bedford, east, is
! 9.5 miles fair gravel and stone, narrow.
Brldge-run-around east of Wheatland
U. S. Road 52 Drive carefully over new
I pavement south of RushvlUe.
Road 56 Detour from Guiliord to Pover
is 10 5 miles, good graved. Detour Irom
Petersburg to two miles north of Jasper
is twentv-fotir miles lair gravel. Detour
passable onlv in drv weather.
Road 57 Detour from Newberry to 15
miles south is two miles, tair gravel
Road 67 Drive carefully over new pave
ment north of Spencer
Road 101 —Detour from Rosenburg to
Brooks tile is twenty-three miles, seventeen
miles paved, nx miles good gravel.
Road 130 Detour in town of Hobart Is
one mile over cltv streets. Detour from
Valparaiso 'o Wheeler ts nine miles.
Road 150 Detour from Shoals to six
miles east
Road 22 Drive carefullv over new pave
ment from Burlington east
Road 25 Demur from West Point to
Odell is six miles, good gravel Detour
from Shadeland to milr east of West
Point is five and one-half miles over good
gravel Detour in etty of Rochester, ac
i count bridge repair.
Road 26- Detour from road 41 east Is
three miles over fair gravel.
U. S road 27—Detour from Por'land to
Brvant account of resurfacing, is twelve
mtlcs. good gravel and stone. Detour from
Lynn to Chester in Fountain county, is
eighteen miles, paved roadr
Road 29 -Bridge run-around between
Burlington and Junction with road 18
Road 34—One mile detour at state line
I on road 10 in Illinois.
Road 35—Detour from Morgantown to
Bean Blossom, is ten and one-half miles,
fair gravel, narrow. Detour irom Trafal
gar to one mile north of Junction with
road 44 for grading and structures, is five
miles, gcod gravel.
U. S. Road 36—Detour from Danville
, west, is eight and one-half miles over fair
gravel. Drive slow over new pavement
between Danville and Bambridge. Bridce
run-around at four miles east of Lvnn.
Road 38 —Detour west of Noblesviile is
five miles, two miles good gravel, three
miles oil mat. Bridge-run-around at one
, and one-half miles east of Markleville.
Bridge run-around one mile west of Road
' 31.
U. S Road 41—Bridge run-around south
lof junction 52. Drive carefullv.
Read 43—Drive carefullv over seven
miles of new navement north of Spencer.
Detour from one and one-half miles south
of Cloverdale to ten miles south is thirteen
miles fair meradam surface not suitable
for heavy traffic. Bridge run-around at
four miles south of La Crosse
Erl grass, an mportan* natural
food of Canaria geese and brant, is
being attapked in France. Holland,
and England by a disease r.pparent
ly the samp as that attacking this
wild fowl food along the Atlantic
coast of the United States and
1 Canada.
THE INDIANAPOLIS TIMES
We Close Saturday at 6 o’Clock =
(Instead of 9 P. M. as Before) V
Buy Now-and Save!
FRANKLY ITS NOW OR NEVER! ( apitol Clothes must advance in
fyL# price! Buy now for immediate wear! Buy now for fall! Buy now for
winter! . . . Such savings are possible now only because we contracted
for this clothing months ago—when woolens were at their lowest ebb!
Wf c>o ou wft oo ou rut
I il
• New Mixtures! ' nrar '|jnH ' small j \
j for later delivery! I
Seersucker Suits 86-87 Linen Suits White Stripe Slacks S^ rsi nku <*ikl a
— For Men and : For Men and Kg m For Men and ’’ Ilite UU( K J IaCKS
•***' Young Men Young Men Young Men j F or Men and
9 *2 m 8 3‘’ 8 II *l°° 'Jp 88„
Buy for now! f" TT Buy for now! \ W Buy for now! £ */ W i Buy * or now '
tjfly Buy for next 1 I Buy for next ’'W Buy for next I Buy for next
EuL year! 1
Advance Fall Styles! Phenomenal Values!
Capitol Shoes pPpp- Capitol Shirts
For Men and Young Men : j For Men and Young Mm
I£\s?- 45 CO CS 1
CAPITOL J /
• Perfect point collars! [ M
Young An
not be 96c PRICE to fit
market to sell at such a . Panama Hats *1.48 ties! ’ S ’ no ' e /
low price . . /
Linen Caps 44e *
CAPITOL CLOTHES SHOP I
.'AUG. 4, 1933