Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1868-05-23
PUzzLER,s COLUMN.


ANSWERS.
No. s7-May be demonstrated in this way; i In the
parallel to dag BIZ on the principle that If two
sdes By the s same proof. Mn connecting middle
% Bp aas o
Likewise EN- and HN are parallel to dag AID
The figure EHNM having its opposite sides par.
as is Which vas M be prGysf tSs
No 0 ss@A little over ss4 8 days to swirg round
this circle. But these questions about the Nation
al debt are too doIor-ous tor quiet contemplation
Do see it. brother g.. or is tiat the way to spell
No. s0.-e. 8. TO- Il. In this problem II should be
15. Come Sammy. innis. Limestone and Robin.
and lets attend school during the spring and sum-
mer session, There are some new boys going to
apd snow the old tricks o the
school. '''-'' ''''" ' = - DELTA"
WASHINGTON May 1s, 1863
be" exclaimed /. as 1 glanced over the column of
last week. and only three four present out of
class Of seventy or eighty and yet he scolds not
culpablel Why is such truancy permitted in schoof
just to think. some of once noted veterans have
Ssm%s the seaa
all absent for months. and Master Spivins not COM
pdln1Qg! Is Qedr DrOIner INNS DecOne SO QlSs
Of those Of algebraica Is Sammy SO enqrossed with
his grocery that he has no taste for trigonometry
Has the once solid Limestone become slack that
him? Has the sharp Earl of s. left the
issnr na whs1s Euclid and And
the giant E: he came mystery" shone most
miss him Dr much. E And what s singular @ s Seeds
grow well in the winter and then die away in the
Robn WheTe has Il oWn9 Can it be that
~ ~ "Finds in one little quiet nest
All that learning flies for through the world ?"
quents. and e fog" them well.
or interesting. They short, but full of marrow
and fatne.s. Poor Delta, and not only have our
ana ses sS Bu tonne S
Latin every day, study the philosophy of the forma-
tion of Logarithm, and to form the equations of
lines in Analytical Geometry, examine the proper
ties of curves in comic sections we'll the intri
cate nature ofiderterminate Analyses and converg-
the CALCULUS. We take the column as desert and a
find it nice. Why. then. aohy don't all the boys
SonsF What s madness ] has seized tsess Corydones!
Nlnos'ri naiseran, nd in hsc lGboref My solutions
are as follows:
No S6-I suppose Delta desires us to prove that
when two circumferences touch either externally or
internally. lines passing through the point of con-
portionallv, which can be doae by drawing two cir
ces of different sizes. and straight line through
ter Of each@.lso lines Gd t6itSns from same pon,
to the curves within also lines from where these meet
angular triangles will thus be formed and if equi-
angular. then SIMILAR. and if similar, proportional.
No. s7.-This is Otios IS trapezium 1t is beauty
and is solved thus: Draw any trapezium Diag,
onalize it. Bisect sides: Connect points of bsec-
hypothecated paraielogram This is evident. be-
cause they cut the sides of the trisnges in which
they are drawn. proportioualIy. and are therefore
respectively parallel to the diagonal, or common
OF h Which rs
fore the figure they form is parallelogram. Boys,
just draw the trapezium. bisect, connect. and see
The ladder must be placed SO much nearer the b gh
er cave, than at first supposed.
from the base of the higher wall.
Whv does 8 feet of altitude make difference of
No. So.-Worked this three ffsrent ways by slge-
Ssa f find 70 rps IL t. be the Ss
Biographical typo error for I5HwSieh @ It must BE-
There now-if the column is not full of something
this week. it is no fault of GUERNSEY.
DUBLIN. o.. May 18th. 1868:
problem Of Brother Guernsey's. No. SO. Our ma
ways in order to convey the mind an idea of its
wonderful magnitude But this is the most no vel
plains in the world upon which such domonstrs-
tion might bs made the great Sahara Desert for in
stance sS stretching out IN every dPectSn as far as
ocean; we now imagine the gold dollars to be prop
perly laid in great circle and the Secretary all
spurrei and gloved mountedlo his champing steed.
what do they tell US instead Of encircling the
short distance either north south from the Equa
ter, for the circle would be % .674 miles, fur 2O6
yds in crcumfrence. and it would require a94 days
around it at the rate of miles per hour and ride
m A mi hv
the of their brows. All, who who will say that
"a national debt is as national blessing" >?
wILsEYvILLE. Ohio. May ID, 1858.
MAsrER SPIvINs IL am glad to hear from
Guernsey. He arrives at correct conclusion on
the wheel question. Progress in science requi us
manly and h handsomely. Brother otiose. O try the the
wheels. Guernsey's cogs didn't slip.
Mis- h11s hope 5hat you viii not part
laid down to suooze in the days of Jackson. He
wakes just in time to give his vote for reprieve
from threatened despotsm. recollecting that We had
ANSWERS.
81. 3.45 acres length of base ch., 6.O59l4
No. 49, The lines drawn from the center of the
sides to the angles at common center. Broth
er Jack please to give US the proof as to the di-
81. Adds per cent. will give the sum discounted
s7 so sum due ,sYii as mstured aggregats ssso
ss. The point of contact by the verge of two cir
ces is in direct line with their centers Divide the
circles in any direction through this point of
tact and the arcs on each side of the line will
form perfect circle. if the diameters Of the circles
of the circles will be relatively equal. The smaller
circle may be inside or outside of the larger one
ss The ladder stands at 72 feet from the build
ing. AZ feet high. and measures 1851 plus feet
So. 1854 LII miles of gold dollars, 1894 81 1872
81 and 90: Will Brother Otiose and Jack please
to answer these. N. W.
NATcHEz. O., MAY 20. 1868.
thinks that it is hardly possible to see six Sabbaths
il H is nss agI pss .TaRs
may see only three Sabbaths in February. For if q
man would start to travel around the earth. and
would advance one degree to the west every dav his
day would be four minutes longer than ours. When
has finished the cult of the earth ard arrives
once less than we have. Consequently he gets me
one day after the time at that place. If January
Saturday. in Febru ~, according to his own account
he would have to call the next day Monday. Thus
he would ses only three Sundays
The following is demonstration of theorem
Describe any two circumferepces as ABC and
BDE having common point of tangency b ; draw
any straight line DC through the point of tangenc
terminating in the coneaye of each circumference
then the angles of the triangle ABC equal the angles
of the triangle BDE; for the angle ABC equals an
BDE, for they are right angles 9Th o. b. g. Robin
son). and hence the remaining angle BAG equals
remaining angle BED. Since the angles eq ual
the sides proportion al. and DB is proportional
to BIC (cor. i, Tn. IL, B. y. n
No. 67.-Mine.
No. ss.-Length AK feet. It must be placed 22A
plus feet from the SO feet wall.
No, S9.-One year, one month. OTIosE.
7,sa- DELAWARE, OHIO. May 10th, 1868.
DEAR MAsTER:-l am willing to own that have
not been prompt in attending recitatons, and that
have neglected educational duties generally. M
excuse is that business has occupied all my leisure
time. and l am afraid that will not have much
time for study for some time to come. But con-
cluded to send demonstration to a couple of theo-
rems.
No. s2:@Let ,ACB be triangle. bisect the sides
AC and CB by lines BD and AE intersecting each
bisects ABB the theorem is true. The triangle Az
DzCOD and COE=BOE, because they have equal
basis on the same line and yertices in the same