Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1867-12-14
OF the other one and frs-nintAs of himseI. The
position of these snakes Is like the roots of some Of
Bro. Guernsey's equations Imaginary.

{ L-t., suserr vrea.a - - s7ss q fs,;s DELTA.
| s9ilsiak b sGREENvIhLs, ONO. Dec. 10th. 1867.
/ Mr.. EDIron: / have a solution fer one of Sam
number Of The problem M % will give III is In my own Ian
guage; T @ ., The sum Of the square. Of tSo numbers
bers; then axa plus sya equal Is tD, and a1s p!u
then sabtracting q, we have 4x3 equal asx.s5 g
| spotrsct.ns from both members Of equation q
equal So from Whioa sauslsS. H then from equatio
nd hns bsas s
No as7-I win give my solution: Let esgs
sphere Of which the portion sS within the crust is
segment. and s-2x equal altitude of the segment
Nov: the volume of the segmegt is equal to = 0
3i4i6 into the square Of the altitude, into thre
times the raiius minus the altitude; but the por
ton within the crust $ one-half Of the loaf henc
Is OF l4l6 (6-2O (12-X) equals 72 into ) l4l6 o
reducing. x3-1sx2 plus Six equal 81, from which
equal 8 or equ Al plus or minus 3 into the squar
il .soa0. .. . Using the minus sign We nave eqnA
No es9 9-Demonstration-The angle NAN beins
B plus 4 NIB. The angle ANB is equal to $50 de
grees minus the angle ANC or G; the sum Of tht
srees the angle O. o. henos saaa sB
s@eqqently seq the angle NAM equal three times the an
No GOD ,mcnstration-Ist part. The right an.
sled triaagles ,g DAB and ABy have the angles BID
and AOB equal. besaT-e each is equal to right an
sim Dr. and give the Proportion AD AB ABB; BG
angles AVID and ABC give W the propo tion DIV :AD
;;AB AC. and the similar trsrgles NIB and ABC
into Alb and Nc into AG G, equal " BCs Dividing the
PT Bcs Svd.d ae nss' bS xb xf iaSo no hb that
trsnriss ,na mt The rsGS Snssd ssd
AED equal. because each is measured by one hal
the Ss arc r.. AD hence the tysnslst are similar and
he r,re e1i W
Az into AB: bGa :;h6 :AE: .piviilns tse LIST and
aS Is fSS nBsgtip Bg the ID term by BE- we have
Answer to No. 1885, s and 10.
No. 34--7 1928 plus and IA G36 plus.
No. si6,X equal the Nth root of plus the square
OF the equation. then extract square OF. and we
eora get q%adratic equation, Whence we find (, as
--7r1 PROBLEM NO. 3l7.
the following? / have not the answer at present:
man % can drink rink eesssin quantity OF rum In q
alternate days except Sundsy; when % both atn drink
tSs h1w long will take them to drink it,
COS PROBLEM NO. ,31S. X. s.e.fsf z.
anc by qusdratics. A. K. NJ.
.,.- f PROBLEM NO. 319.
From the vertex of a right angled triangle, a
line bisecting the hypotsnu5e is 10 inches, and
psrp ,ndicular from sauna point to hypotenuse is
inches. f.......r q --.r 49, =, =, .-.-.
Please give concise method and tell me the acute
angles OF triangle. DELTA.
-s7 e'E PROBLEM NO. 320. @
GFoR THE LADY CoNrRIBUToasl
A bouaht piece of cloth, giving as many dol
lars per yard us the-e were yards; while b bought
a liner piece. giving as manv dollars per yari a,
had B paid the sama rate per yard as A his cloth
titles.
DELTA.
PROBLEM NO. 321.
!, Who can gives geometri al demonstration that
the tangent of tho sum Of two arcs. and a. (prme)
equal the of their angents divided by the pro-
duct of their tangents Plus radius?
PROBLEM NO. 1922.
-f1 (FoR E. b -.r=
Sucpose the earth to be perfect sphere of 5000
miles in diameter. and uppose ship Starts from
RequIred-The nature of the curoe the shio wilI
DESERT be- and the distance run when she arrives at
the North Pole % OTIoss.
PROBLEM NO. 323.
If the time past noon is CI-I6) eleven-sixteenths
OF the time to midnight, woat time is it
4-as H-5sa JACK
PROBLEM NO. 324.
What time between two and three o'clock will the
hands, hands Of watch form angle of 2 one hundred
PROBLEM NO. 325.
What is the area of an inaccessible swamp of
which we can only obtain the following data At
east at the southeast corner is an oak; at distance
OF rods to the north is . small beech; at un-
nown distance to the north of the ash tree, the
other side of the swamp is large pine. making the
northwest corner of the swamp. By continuing
our base line rods east of the oak nd it nersec
joining the beech and pine trees the northeast
side Of the swamp? Give also the distinee from
the ash to the pine on the west side asa-
DENIAL Attorney General West,
through the correspondent of the Cincin-
natl Commercial, .'denies that Blackburn's
bail has been released or prosecution
abandoned. The statements published to
the contrary effect were founded on the
fact that the grand jury of the present
term was discharged without an effort to
obtain an Indictment in this case. This
was allowed by an arrangement between
Blackburn's counsel on the one part, and
the Prosecuting Attorney of Franklin
county, with the concurrence of the At
torney General, representing the State, for
a continuance of the case, to give the par
ties time for preparation, as the arrest of
q Blackburn was only made the week next
previous to the commencement of the term
of court. 1t is the intention of the Attor-
ney General, and is in accordance with the
wellknown determination of the Gov
ernor, that the case shall be fully prosecu-
ted, unless Blackburn is able, as he pro-
fesses to be, to make such showing as shall
relieve his offense of criminal character
within the statutory provisions"
AS Mr.. Blackburn only entered into
bonds to appear from day to day during
the present term Of court, and as it is al
ways considered that if the Grand Jury
rise without finding a bill against man.
the jury consents to his discharge, and be
is discharged ON his application, we would
like Mr.. Attorney General West or some
other Daniel to inform us how he is bound
to appear at the neat term of the court
Blackburn during the sitting of the Grand
Jury did appear from day to day, but he
it, Why? Because he is virtually dis
charged. There were no witnesses sub
poenaed before that Jury, there was nc
effort made by the STATE to procure bill
What right has Blackburn's counsel and
Attorney General West to cook up an ar
rangement as to when the case should &C
to the Grand Jury. Mr.. Blackburn's side
of the story is not heard there He has nc
interest in the matter. An arrangement
with Blaekburn's counsel forsooth: "What
day will it suit your convenience to be
hung ?' said the court. Bah There is some
attempt at 'sshenanigan" in this business
and we don't fear to say so .a.- 7, ~
< THE TOLEDO WHARF QUEsr1oN.-The