New-York tribune., 1875-12-02
COMPETING FOR COLLEGE HONORS.

|
day at the University of the city OF New-York The
mathematical examination in Analytical Geometry,
the examiners being Admiral c. II. Davis United states
Navy Prof Simon NcwcOmb OF the Naval Observatory,
Washington and Prof p. s. Niche OF West Point The
examiners in Greek were the Rev. Dr. l. W. Chambers,
Charlton +. Lewis, and DR.. VIM. r. Dmmock. The prizes
offered in each branch $500 first. and $500 as
second prize. The following competitors presented
| themselves:
University Of the City OF YOrkErnest II. Crosby in
| Greek George p. James IN Mathematics
Williams College Edgar r.. Downs in Grcok; James f.
University OF NcwJersey at Prnceton-George B. Halsead
Lafayette Coiege-Thomas Craig in Mathematics CT. =.
College Of the city Of Sew York-GeorGo Blood smyh in
| Eugers Colege-H. Voghe IN Greek c. L. d. Washburn
Cornell Unyersy-aiias Josephine J. Thomas in Greek; T.
st. JOINS College Fcrihan-Dayd II. Hunt in Greek; f.
| P. Jones Mathematics.
Hamilton GoIcge-A ArcnDaII L. Love in Mat5emaiics,,
Syracuse Unversy-H. w. Wheeler In Greek " l..
NcThWesern University IinOisJohn currer in Greek
+. NJ. Harris in Mathematics.
Tho examination In Greek both oral and written.
Competitors during the written examination wero called
sncly into tho Council Chamber and Questioned each for
half an hour ALL four hours allowed in which TO
answer the examination papers n Greek the first Of
which was follows:
I-Given lines 17G-17s Of sophOclcs' "CE1ipus Ty-
rannu' M Decline Po,i "dng M inc fo hPIG forms m so ~
temai 60 Explain each alpha in IhanaiaPh9rq y ~
lowing forms, the original meaning Of each, its connec-
lion With any kindred words known to yon in other
languages aud the laws phonetic change which they
Illustrate: al AHaTithoB'oS; b genemid; tc pedoi (d
Hunf0s
lid Give an account Of the origin the elimination
and the extinction OF the Greek drama with dates e.
What the number SEX and costume OF the actors
81 Describe the shane aud arrangements Of the thc1trr
a. What was the function of the ch0rusi o! whom
did 70 consist ijD How were the expenses Ot the theae
padi 6J Give ArisOtlos definition Of tragedy. What
aro the unitesl How arc they rcsaldea ia lAe
Of tragedy Did II chansei II So when' and Tor what
4
of q, ,liis How much OF il j. fabulOus (2 Explain
the fable OF the sphinx. What was made OF II ~ other
writers than sOphOces 81 What was the origin OF the
most famous GrCcian Oracle On what subjects was II
consulted How its answers given a. Is
Jiresas mentioned by any other Greek porS t1.l Nhat
was the character sophoclcsl Who 7 most clni
nrnt cotempordriesl o. When was "qslpus keT'
cNdbitedl What were the other members OF The
Irosy % What was tine nature OF the ancient di'-
" a. what dalectic difference IA there between the
dialogue and the chorus OF Greek tragedy (2l GIVE
rcficnI scheme OF the dialogue showing the substitu-
fins allowed 81 How are these ubstuions licenses
qualified by The cesiua! a. Divide into feet ibc follow
t,, y@tses Ner..s :-I sos ggj and 1914 of Odiyus
Tyrnnus and nara tie quantity OF each syllable. tol
Give mCtIiCal scheme o! the following str1pho ana
name the verses (yerscs s73 to S8l inclusive OF Glpu
" KY ranslate literally CG5l Tyr lo795-lOss5 15--
Illustrated in the passage last cc1l (}J Translate
freely into English prose or verse: ODD Tyr l'3oo--
II translate into Greek: One must not shrink! nv
King from spending part ~ his own property for the
general good For ~ IA thnk thal WIll so'eTeisn
ayishes upon tire state Il better expended t1an mat
which only serves lis personal ends Ana II lie should
seek pleasure above all, would not wise people dc
throne him g'
VII The second Greek paper included three selections
from Greek works mol read ID the college classes 10 De
translated into English within one hJIr follows /:
nine lines from thc Works and Days" OF uesiod l3)
| twelve lines from PlatO's lysiS."
The mathematical examination consisted Of 10 printed
questions in Analytical Geometry the first 10 to he an
swcreI in writing within three morning hours. and the
remaining six within three afternoon hours. The paper
-srf,tf 1a l'ftu
tho questions propoundcd follows:
II the equation Of straight line be expressed In the
form, sine, alpha" plus cosne " alpha equals T.,
snow what the symbols alpha" and represent, aud
What change would be made in the representation f tnc
equation were expressed in the FORM sine alpha,
plus coSne apDa plus 10 Is ~ ever necessary III
| either form 10 suppose ncSatNc and why 80
H. n the equations OF three straight lhes me-tl Z
sine alpha" plus c0sine alpha" equals p. ~ SINE
beta plus cosinc " beta equals q l3l sine plns
| gcornc equals =, what is the area Of the triangle
iii Wnat is the distance apart OF the two points in
wlicn the lire whose cIuatiDn 10, ~ sine alpha p'
ycOsine alpha" equals p, nter,oci ibe elce whose
equation H. T.. the square OF al lu5 TIE square OF
W A Il c is straight line having the two points
and Il constrained 10 remain respectively on he lihcs
rigitiaud angle formed by the lncs u y aud NJ, IN
lieu oi the diagram which furnished the cJmpctt0i
with cach other find the locus OF point on the line
v Find the equations oi tue asvmptoes to tine hyper
Doia OF which tno equation is second power, INTO >
,o ear MINIS , = nIns - ~ Iiuf Cr1ais o. and show
| That tne lines possess tlc.pfopcrty oi asympotcS.
VI Define t1inetr cOjrdntics give the equations OF
rj,f lin. referred 10 such oo6rnltcs and show 10 Ic-
afon 10 tho CaI5csian equations. Define the radical
axis Of pair Of circles, state iVtihuu demon7taiorl
principal properties and show tnat The three radical
| axes OF three circles meet in q point.
VII. Find the equation OF the surface referred 10
| is ,qudi.ant from two given fixed points.
VIII Fmd the annarmOnic ratio oi th' pencil repre-
minus divided by minus q @ Bcquals minus % of g
minus 81 (i) equals minus IS OF minus 10 divided
TX Find the general equation Of the parabolod Of rev
ouhOn IN space formed 10y revolving par boin on a.
axis, terms OF tho cOordniles ol inc lO us am c
constants which determine tho position oil the drecI
Y state the principal properties o. the cpse with
thcir relations TO the corresponding ones VI the h5c-
Dola Indicate The relations by which these relations are
XII. What equation viii represent at the time tie
hypcbOia referred to- it, Centtr ana AXIS, ana its asyp
Xii Investigate tho surface described by the reyolu-
tiOn OF straight line around an axis inclined To IL Dl
given angle Y, bat not luterscctng IT, Fol simplicity,
suppose TIE rotation to take Place around thg o S e.
inc TO ie Ia the plane y Fnd ne elt9i % OF ,le sur
| cnu generate the same surface
Kill Deduce the formula for the shortest distance be-
lions: nj cQua.s u plus "alpha;" yequals bz plus
| 'bola." C2) equals prime, into Plus " alpha
NV Deduce tho for1nule for the Transformation Of
syStcm OF In space 10 another
having the same origin, ana sAO" the pf"leir7 oi ho
cOei0ents which express the relative directions oI he
| two systems Of axes.
degree between ana represents conc section, ly
showing that for eyOry curve represented ny such cu
lion there are points which possess the property
that either the sum or the difference Ol the distance Ol
| each uOint of the curve irOm them is "A constant
! XVI Having given the equation, tsquarc OF plus
square OF plus square of y square of INTO square o
plus square OF iutO square of plGs square OF INTO
square a. square o lsluaro OF Plus square ol
q square OF minus square Of lsqldrc OI s square
of q square OF y minus square OF square OF pus
square Of b square Of plus square o INTO square OF
inO square equals -, dseuss the properties Oi the
surface which fl represents BY means OF the sections
made by the coordinate planes.
The announcement Of the successful competitors aud
the awarding Of the przos will not take place until the
nght of the Oiat0rca contest, which will occur Jan