Daily Ohio statesman. [volume] (Columbus, Ohio) 1855-1870, 1868-05-09

~ WASHINGTON, o.. May 8. 1868.
n9 RsaH MasrER SrIyIEs AGAIN appear IN Glass.
%0r.lised m.thsms;iosiiy: Ny professional datis,
the column entirely impracticabie. Still 1 have
been all the time most interested reader of it. when
! was where Icould get to see it. however remss |
may may. have been int in the way Of contributing. Don't
for Innis. Sammy. Robin. the Seeds. Simpson. 8.
X. and even Delta who for months have done little
make my humbest bow. and extend most cor
dial greeting 70 all new members. whose names are
., Master-yhat a big class we would now have.
we could onlv get all present at one recitation.
and get ticket if hard study and punctu.ity have
: any virtue in them. '---
ment with lnnis in the Rotunda of the Capitol was
properly understo tood the question. and this is a
natter OF prime Importance in all mathematical as
If two cog wheels have equal parphs ries. and one
q and the other be made to to reyC,e
conjunot with those Of the the Other. the revolving
wheel will turn t'ofee on its axis in making the rev
Of the t6s
ones bring the boxes together so that this index
to the this marked boz
that it had revolved its axis in making half
a revo ution around the stationed box: hence two
in going entirely round. There is no doubt of is.
Come. Innis, 0tioss. you mast give in. s., A..
in finding the exact answersis far too formidable
M, n. Ny finding Is isX inches. But this i,
rather IN opinion than demonstration: If | am
disputation; All right. let it come.
No. Is. Why, Willard. you are tired, No two
srsstsr great product Will be from the factor parts that
are tie nearest equs These in this case s are each
parts of 10 taken factors. Hope Master Spivins
win wnllp" Willard il he proposes such an exam
make the distance between the
hear from you. dnsrer few. GUERNSEY.
WASHINGTON. GUERNSEY Co.. o.. Maya. 1868.
Mn. EDIToR:-I spent = little time on the Column
for this week. and send the following results:
ANSWERS.
miles. the crcum is PASS %. By adding feet TO
the radius, circum is given equal to 24sSs 2sIl,
No rs. Practically impossible: for Is is greatest
plus minus the square root of maus5 5. and minus
or plus the square root of minus s. 5plus or mi
nus the radical minus s. and minus or Plus the
No 7s. Iif / understand the data of Brother In
mis- problem. and hooe made no "'istd1es,) llo7
No. 80. Find orbit and divide by 3e51z. It would
When portion Of our class Of puzzlers made that
visit to ColnTbus last winter. about which
I Argues s ones ness; self unknown"
Judge Thurman entertained us with some very |
sSns On ra. Ss
of 2 right angied triange-each a whole number. Il
numSer Be- 90 ~. then the @ square Of half of It. less
one, will be he other leg. OBTAIN the hypothenuse
If FL The @ number taken be od1 then its SQUARE less
one, divided by two. will be the otner leg. and each
Of the three sides will be expressed by whole mum
While thinking over these rules to- day. the fol-
lowing mode of accounting for them came into my
the class to discuss hem from their own stand
- In the first case. let 2x be equal to given leg:
xa plus plus * equals x2 plus x plus l. This
trinomial is of course a square. In second case,
EQUALS % other Fsa Iss sauarins and aiding these
have "A minus Il minus divided by four. This.
....es..s WLsEYvILLE. o.. May 5, 1868.
MASTER SPIvINs:-I am still laid up for repairs.
and welcome the Puzzler's column as an old friend;
down to only small msjority Of a fractional Con
gress. and the -mudss' are telling them in forcitle
language that they stand on slippery places.
ANSWERS.
No. 76.-The distance on the circumference of
circle. taking the leng of the man Cs feeo for
dius. or 81 69ss feet. ..--y--
No 0n & Iese, With the oSeaa sps tor Of %ont
Blanc. which is 5000 feet it stands at a inches
The murcury siuks about an inch fer each thousand
wcaIi be one, third lighter and would Indicate an
elevation Of about ten thousand feet; IN rh. a;a
No 7s IA nIitip led by 70 S EQUALS ~. Inc oie
No. ssSStart at D. line Of observation. thence
= ;ast lines n. Is. i E. SSs''
THEoREM (No. S6.)
If two circumferences touch each other either ex-
ternaly or internally, lines drawn through the peint
arcs. DELTA.
PROBLEM NO. 81
Provo that the figure formed by joining the points
Of bisestion of the sides of trapezium, is par
allelogram. OTIoSE.
PROBLEM NO. SS.
Suppose q street to be 80 feet wide with a house
side the caves Of which are ~ fee above the
level of street; and opposite. another house. the
the length of ladder and where it must stand. so
that, wnen turned in either direction, it shall Just
1870 '''' '-' - - '' - A. S. SIMPSON.
PROBLEM NO. SO.
Suppose gold dollar to be one-haf inch in diam
eter and the national debt to be three billions of
dollars. and suppose circe to be made Of these dol
the Secretaey Of the Treasury to ride round it the
rate of miles per hour. riding Is hours per da. =?
PROBLEM NO. 80.
Find four numbers in srithmetical progression to
which if 9 4. 8. IL be added, their shall be in
geometrical progression. JACK.
OANCING OCaOOL 1uOsc !
who have been fortunate enough to secure
tickets for the private exhibition of dane
ing, to be given tonight by the pupils of
F. X. G. Motifs Dancing Academy. Ambos'
Hall, are anticipating glorious entertain
ment. And well they may. Mr.. Mott is
one of the most accomplished teachers of
the art of dancing we have ever met, and
his method of imparting instruction is so
complete that pupils take 1t up at once
The programme for tonight is as follows !:
l, March de Polanaise; 2, French Quadrille;
g. Gallop, (Deux Temps; 4, New French
Lancers; S, Danish Dance; 6. Quadrilie
Prince Imperial Des Danes; z, La Villiers,
Cor Varsouvienne) 8, Quadrille Les Vari-
cites Parissiennes; 9, ,Gallop EN- Trois Temps;
10, Schottische; IL, Mazourka l. Opera and
Polka, "a la measure); H. German or Par
lor Cotillion.
Mr.. Mott proposes to commence half
session, to close on the ID of June, includ-
ing the most delightful portion of the sea-
son for taking dancing lessons. In the
course Of this half session he will teach sew
eral new and beautiful dances, and at its
close he proposes to give q grand exhibi-
lion, at which time the pupils will perform
a beautiful March, composed of a variety
of evolutions, with Flowers, Arches, &c,
forming magnificent tableaux, which
must be seen to be appreciated.