EXAMINATIONS HELD IN THE FEBRUARY TERM, 1863
I. FOE GREEK AND LATIN
(Professor Irving.)
(1.) G R E E K .
Translate carefully—
T o u r a TrapEXauvwv iXeys Kal d f i a i^T/ysiro irrl ipdXayyog, Kai r o u e TTEXraordt; EKarspaiS-Ei' TTOiTjadfievoi ixopEvovro ETTI rovg rroXefiiovg. TraprjyyiXXeTO Si r d f i i v S o p a r a i-al r b v SE^IOV wfiov EXf"', f-wg arifiaivoi TT) a d X m y y i ' iirEira Si Eig 7rpo/3oX))i/ K a S i v r a g ETTEaSat (idS)iv Kal fi7jSiva Spofiw SIWKEIV. EK TOVTOV avvSrjfia Trapr/ei, 7,£vg a w r y p , 'IIpaKXijc liyEfiwv. oi Si iroXifiioi vwifiEvov, vofii^ovTEg KaXbv e-^Eiv TO jfiapiov. 'ETTEI S' iirXriala^ov, dXaXd^acrEC ot '£XX»))'£C irEXrairrat I S t o v E?rt rovg iroXEfuovg Trpiv n v a KEXEVEIV' OI Si TToXifitoi d v r i o i wpffnaav, o"i B' iTnrEig Kal TO ariipog TWV RiBvvwv' Kal TpiirovTai rovg TTEXraardg. 'AXX' i.TTEi vwTjVTta^EV jj ^ d X a y i ; TWV OTTXITWV r a x ^ TropEvo- fiivri Kal dfia i) o-dXnyi; iipBiy^aro Kal i r r a i w r i ^ o v Kal fierd r a v r a I'lXdXa^ov Kal d f i a r d S o p a r a KaSiEaav, i v r a v S a o'uKin iSiH,avro oi -oXifiioi, dXXd 'iifiEvyov.
Translate carefully—
A I \ Kat Si) r i v iifxdg Eig iwapKEaiv KaXeig;
E K . ovSiv n TOVTWV S>V av co^dleig, d v a £ . bpcfg VEKpbv TOVO , oil K a r a a r d ^ w SaKpv ;
M A T R I C U L A T I O N — E X H I B I T I O N S , F . T . 1863. CXXV AT1, bpw' TO fiivTOi fiiXXov OVK ey_w fia§E~iv.
E K . TOVTOV irOT ETEKOV KUlpEpOV ^(J^J/C VTTO.
A Y . i a n v o i r i g a w v o i r o g , w rXiifiov, r i K v w v ; E K . ov TWV S a v o v r w v UptaftiSwv VTT' 'IXiio.
A V . 7) y d p n v dXXov ET-EKEC 7) KEIVOVC, y v v u i ; E K . d i ' d j ' j i r d y ' , d c COIKE, TOVS' OV Eigopfg.
A V . TTOV S' w v i r v y ^ a v , >IWK' WXXVTO i r r o X t c ; E K . Trari/p viv ODETTE fi\j/EV, oppwSwv v a r a r . A P . irot TWV TOT OVTWV \ w p i a a g TEKVWV fiorov ;
E K . i c TI'IVSE y w p a v , oviTEp EvpiSri B a v w v .
A V . rrpbg u v S p , bg t i p x " rrjgSe TloXvfiijarwp %Bov6c;
E K . i v r a v B ' iTrifupBn TriKporarov y^pvaov (piiXa^.
A V . Bvi/aKEi Si rrpbg TOV Kal rivog rrOTfiov r v ) ( w v ; E K . rivog y vrr aXKov; 6pji£ viv &Xeae %ivog.
3. Explain the uses of all the genitives occurring in the preceding extract.
4. Give fully the meanings and the derivations of rsrapt-
yEVfiiva, avoTTipOTng, KaraXEvaSivrEg, dfivySdXivog, y p a i o i a , dpdpov, da-)(rifiovE~iv, oiKOvpbg.
5. What is there peculiar in the form of ttpyatrrai,
K a r 6 a > w r a , TTUXXEUKOC, oopi, Kivoinv. G i v e e x a m p l e s
of similar formations.
6. What are the rules for the construction in the following—
a r p i t y o v r a fn) aov rrpoaSiyw yEVEidSog.
d f i a p r o v a ' &v yj>Ewv av~i)v rvyifiv.
OVK d v Svvaifiiiv TOVSE nfiwpE~iv.
d X X ' OflWQ EipiiOETai.
7. What is the English equivalent for (1) n OVK imir)-
aafiev ( 2 ) SiKaiog elfii r a v r a TTOIE'IV ( 3 ) o i fit) XaXr/aEig ( 4 ) TrdXX'- d v E-^WV EITTEIV.
8. Put into Greek the following sentences—
(1.) He said that they ought not to deliberate any longer: but that all the citizens should fly to the aid of their country w-hich was being injured.
(2.) The man who is most nearly related to me, being very sick and without male offspring, I shall probably soon be richer than ever I was, for he has much'money.
(3.) Speak at once if it he agreeable to the generals present.
(4.) I consider you happy in your disposition, because you enjoy the good things you have and do not envy your neighbours.
(5.) The soldiers having been drawn up four deep the general said to them thus much only,
" Quit yourselves like men."
(6,) It having been told to all that no one should go forth from the camp, whoever attempts to go out of the gates shall be punished by death.
(2.) L A T I N .
ARNOLD, Latin Prose Composition, VIRGIL, iEneid, i. and ii. CICERO, de Senectute and Letters.
1. Translate carefully—
Sed redeo ad me. Quartum annum ago et octo- gesimum: vellemequidemidempossegloriari, quod Cyrus; sed tamen hoc queo dicere, non me quidem iis esse viribus, quibus aut miles bello Punico, aut
MATRICULATION — E X H I B I T I O N S , F . T . 1863. CXXVU
' quaestor eodem hello, aut consul in Hispaniafuerim, aut quadriennio post, quum tribunus mihtaris de- pugnavi apud Thermopylas, M'. Acilio Glabrione consulc: sed tamen, ut vos videtis, non plane me enervavit nee aftlixit senectus : non curia vires meas desiderat, non rostra, non amici, non chentes, non hospites. Nee enim umquam sum assensus veteri illi laudatoque proverbio, quod monet, mature fieri -senem, si dm velis esse senex. Ego vero me minus diu senem esse mallem, quam esse senem ante, quam essem. Itaque nemo adhuc convenire me voluit, cui fuerim occupatus.
2. Translate carefully—
Quid tantum insano iuvat indulgere dolori, o dulcis coniunx ? Non haec sine numine divum eveniunt; nee te comitem asportare Creiisam fas, aut ille sinit superi regnator Olympi.
Longatibi exsilia, etvasturn maris aequorarandum:
et terram Hesperiam venies, ubi Lydius arva inter opima virum leni fluit agmine Thybris.
Illic res laetae, regnumque, et rcgia coniunx parta tibi; Jacrimas dilectae pelle Crciisae.
Non ego Myrmidonum sedes Dolopumve superbas adspiciam, aut Graiis servitum matribus ibo, Dardanis, et divae Veneris nurus;
sed mo magna deum genitrix his detinet oris, lamque vale, et nati serva communis amorem.
3. Translate into Latin—
War began between the cities of Rome and Carthago on account of the taking of Messana by some mercenaries. They fought for more than twenty years with various success. The battles most of wrhich were fought in Sicily cost both sides much blood and money.
CXXV111 E X A M I N A T I O N P A P E R S ,
It can hardly be that he has invested much money at 12 per cent., as you say, for since he inherited half his father's fortune, he has paid off debts to the amount of half a million sesterces;
has hired a house for one hundred thousand sesterces and is keeping up very great state.
Now the whole inheritance was not more than one million, and he himself when his father died had nothing.
Though he had been warned not to believe any accounts brought to him by deserters: he put more faith in these, very many of whom came daily to his camp, than in his own scouts. Hence it came to pass that the army when it advanced into the enemy's country fell into an ambush and was cut off to a man.
Cicero used to say that there were only three kinds of questions that could fall into controversy, what was doing what had been done and what would happen.
4. Derive fully the following words giving a clear account of their formation and the way in which they attain their meaning recuso, crimen, latebrte, secessus, praecipito, bipennis, adolescentia, auc- tummus, peregrinatio, dumtaxat.
5. In how many forms can you express in Latin I am come to see.
M A T R I C U L A T I O N — E X H I B I T I O N S , F . T . 1863 CXX1X
II.—FOE AEITHMETIC, ALGEBRA, AND GEOMETRY.
(Professor Wilson.) (1.) ARITHMETIC AND ALGEBRA.
1. Explain and distinguish the words—sum, product, quotient; term, factor; root, index, power—as used in algebra.
2. State fully the rule for finding the highest common factor of two algebraical expressions so as to take account of factors that may be introduced or rejected in the process. Find the highest common factor of 135a3.r4# - 585aV/y + 1035a3.r!y - 945aVy and 378a-xV +'6'.ia2xtz* - ' m Z a ^ x V + 1323aV~2 and explain the application of your rule in the process.
3. Resolve Aa2b2 — (a2 + b - — c2)2 into four factors.
i—b a3 — b3 <
i + b ~ a>+ b3'
„ , / a + b a2+ b2\ / a — b a3 — b3\ 4. Reduce ^ - ^ ^ Z f j O + l j j > - - — ) to
its simplest form.
5. Reduce to a single fraction in its simplest form 3 3 _ 1 1 - x i { l - x )2 + 8(l-#) + 8(l+a?) "" 4 ( 1 + ^ )
6. Shew that xT—y" is always divisible by x—y when m is a whole number. Hence shew that arq—br"' is divisible both by a'—bp and by aq—bq when p and q are whole numbers.
9
CXXX E X A M I N A T I O N P A P E R S ,
7. Find x from the equation */x + \ l — -fx = 1
„ -n. , r i • &B+36 3 8a;
8. Find x from the equation -wwl^o-f + 05 = K _ O 9. If a, b, c, d are proportionals shew that 5a + 6b,
7a—3b, uc + Gd, 7o—3d are also proportionals.
10. A person walks between two places: had his rate been faster by half a mile an hour he would have
E
erformed the journey in four-fifths of the time:ad it been slower by half a mile an hour he would have been two hours and a half longer on the road: find the distance and his rate of walking.
(2 ) GEOMETRY.
Credit will not be given for any answer in which algebraical symbols are used. %e
1. Define a plane superficies, a right angle, a circle, a square, parallel straight lines.
2. What is meant by a postulate ? What is the dif- ference between a postulate and an axiom ? State the postulates on which Euclid proceeds.
3. Explain the test of the equality of angles used by Euclid in the fourth proposition. Is this included in the eighth axiom ? Give your own reasons for your answer.
M A T R I C U L A T I O N — E X H I B I T I O N S , F . T . 1863 CXXS1
4. If two triangles have two sides of the one equal to two sides of the other each to each but the angle contained by the two sides of ono of them greater than the angle contained by tho two sides equal to them of thc other the base of that which has the greater angle shall be greater than the base of the other. Explain fully by diagrams the reason of any peculiarity in the construction.
6. Parallelograms on the same base and between the same parallels are equal to one another. Shew in each of the three cases of this proposition that the parallelograms can be cut in pieces so as to satisfy the conditions of the eighth axiom.
6. In any right angled triangle the square on the side which subtends tlie right angle is equal to the squares on the sides which contain the right angle.
7. If two finite straight lines bisect one another at right angles any point in either of them is equi- distant from the extremities of the other.
8. If through A one of the angular points of a square a straight line be drawn cutting one of the oppo- site sides and meeting in B the other side pro- duced A B shall be greater than the diagonal of the square.
9. Straight lines which bisect two adjacent angles of a parallelogram are at right angles to one another.
10. If two sides of a triangle be bisected the line join- ing the points of bisection shall be parallel to the third side of the triangle.
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EXAMINATION P A P E R S ,
11. The square on any straight line drawn from the vertex of an isosceles triangle to the base is less than the square on one of the sides of the triangle by the rectangle contained by the segments of the base.
III.—FOE HISTORY, PHYSICAL GEOGRAPHY,