Albuquerque evening herald. [volume] (Albuquerque, New Mexico) 1911-1914, 1911-05-05
DIMENSION
IS EXPLAINED
Professor n. Bonlmovitch De.
livers Lecture at Univer-
sity Describing the Theoret.
ical Assumtion of Science.

Professor Marc i,ouu'.u.. I.h of thr
University This Afternoon 'ItDcd u
lecture on ne science seminar nu the
subject of the "Fourib Dimension.
Although To scientists tlu fourth Iii ;
mcnsion represents a vor, tangible I,
proposition. the a,crdrc ll.man win |
hardly h, able To- rscouplr with na-
trriaI things amy uth't dimensions
than those of length breadth aud
tiickncss. Professor Bounimoyitch's
explanation OF this pu1zhug conccp,
while not going into The more tech
MEAL phraxcs. viii serve 60 awe the
uusrion,inc person SOM idea al what /
- meant by the fourth oinensio n The
PROF ssur Illustrated hs talk with
drawings aud especial, prepared dia-
gram
The lecture follows in py.t.
II 81 impossible To form q mental
picture ~ the fourth dimension.
! Nevertheless, u IL. NOT al sbsurdity.
bui % useful ma,hematrM concept
! win a. weil.dovelopcd geometry. 10
gam o partial and symbolic idea OF
/ H. meaning. resort mus, bo had to
| analogy with dimension ~ a lower
| otd-f.
I
! fourth diminsion or a. dcirrt the ex-
sst"occ ct r-,liminsiouod space.
oven if Il be close ~ hsnd ls rompnr-
able with the INABILITY of q two
dimousional man inhablUug two
ldimiusional space. ~ locate The third
dimension or To detect tho existence
of three -dimcnsioaal space. even
though his own spacr might hc part
! & 10 10
Suppos" the two-dimcnsipnal space
rcrresontod by this page IL. inhnh.
tod by two-dimensionol beings they
have length and breadth. can move
Ia those two dimension and are sup
puycdly conscious ~ them. They have
no thickness. canno, rise from the pa
per %. live bcn,aih y and are not con
'sc!pus of any dimension In such di-
r"ction They have 800 upward" and
no downward" Their HOUSES and
barns viii have no roofs aud no
iluurs Thr.c lines arc sufficient -
inclu<o any object In this world aud
the northumberland ntiug himself
lE exposed only along hts polyzonal
contour 10 couvinc. him that a
phird dlmcnslot of upward" and
downward" exists touching and
|
would be- hopeics. task Even "
he nrccpis the arguments from ann
lory U.S. - The properties of such al
Z meusion, NJ would rcbrl II the Idea
b ~ looking within himself to nnd n
Md similarly within himsrlf. uuitc
as much az anywhere else must man
look " u" r. 80 iind tie fourth dlmcu.
, ~loL
Were one To- explain tu this two,
, dim,nsiouul being that a ihtne-di
! m.nsiounl being approaching from
the direction 81 that umknown thirf
e dimension. would reach Within hi'
; most securely locked barn aud ~
move itS contents without openinr
}. . door ur breaking wail--or woul,
70 touch the very hrnrt Of tho two-di
o. meuSonal being himself Withou
o piercing his skiu--he might sim d.
o. none nearer So an appreciation Of ia
10 thIrd dimension Equally impossihl
- L. II for man To- understand iron
what direction four-dimcnsipna
rohhcr must come To- steal the treas
ur,s from TIA. S"undcst vault withou
opening or breaking II. Vet thu rout
90 such a robh,r lies along the tourt
dimension Ry that route must com
the our-dimcnsional being who is I
remove the shell or drink tho llduo
from the hottie without drawing IN
cork.
In four.diminsionai space
sphere If flexible could withou
stretching or tearing be turned insid
cut Two rings nf q chain could u
separated without brcakagc. Ga
knots would bc useless. Just as /
our space po,lt can pass In an
out Of a circle without touching IL
ircumf renee. SEQ IN four-dimcr
sional space body could pass In an
out without coins through the surflc
surrounding it In short. AL Of IA
denscst solids Is open To- inspoctio
ana manipulation from the four,l
dimension. which extends in an un
Imaginable direction from every poin
OF space
The assumption of a fourth ID
monsion has not AZ yet led 60 AN
nptcworthy usrfui results. but b.
by no means impossible that IN
science az four dimensioned .om
"try may come To- have useful appl
cation.
The fourth dimension has no rtla
tion to the actual universe IN whic
our sensations dud perceptions ur
exercised and belongs To- that rralr
OF thought 60 hr cnt.rcd only ay M
select few, whose exceptional goniu
includes the Development az IN
mathematical imaglnation.
II could be- proved that lust -
Ian" is founded hy two points.
squarr by lines. cube bv ~
squares. a fnur-dimensionrd "cuboid
generated rs movement of = cube
Is bounded bV riah, cubes II cuul
also be proved that the "ouhnid" hn
"a bounding squares, ~ huuudin
lines and ~ bounding points
xandrr h. indeed Alexander m
Great these DAYS Tn" Boston bal