APPENDIX.
EXAMINATION PAPERS.
1 8 6 4 - 1 8 6 5 .
EXAMINATIONS .
I S
THE OCTOBER T E E M , 1864.
MATRICULATION EXAMINATION.
GEEEK.
{Professor Irving.)
ARNOLD, Greek Prose Composition. XENOPHON,
Anabasis, I. II. III.
[If.B.— The principal parts of a verb are its present
• future and perfect active, its perfect passive, and second aorist active; or if deponent, its present middle, future middle, and whatever perfect and aorist it employs. In parsing a verb give its tense, mood, voice, and pi incipal parts. I n parsing a substantive or an adjective give its gender, num- ber, case, and nominative and genitive singular.
Abbreviations are not to be used.]
1. D e c l i n e /3t/3ij/C(ic, 7rfATa<rr»;c, avroc, lepOQ (adj.).
2. Give the principal parts of aipt'w, dXXuo-aw, \afiftavoi,
vo/xi^ii), irtiOui, peui,
3. Write down the Third Plural Perfect Indicative Active of iraaxto, the Third Plural First Aorist
IV E X A M I N A T I O N P A P E R S ,
Imperative Active of fieno, the Dative Plural Feminine First Aorist Participle Passive of Slowfii, the Second Plural Imperfect Indicative Passive of (ptXeu).
4V What forms of Interrogation in Greek expect the answer Yes ?
5. Willi what moods and tenses is Sirwg joined in a dependent sentence 1 What ellipse often takes place before it ?
0. What classes of Verbs are followed in Greek by two accusatives ? Give one example of eacii class.
7. What is the distinction between tbe moods of the Aorist and those of the Present ? Illustrate the distinction by the formulae tor forbidding' used in Greek.
8. Give the Greek for (a) The same things, (b) Talk- ing fast, (c) He says he does not choose, (d) I bought a horse for 70 drachma:; and the English
f o r ( # ) }j a \ X n X&Pa> ( . / ' } i t u i r r i o v l i r r l r a v - i i v , ( g ) irpaicTimc. TUIV KOXS>I; ( A ) <j>pa£e Kal TmwpaL,£Tai.
0. Translate literally—
' E i r t t Ce oi TE rrrparriyoi avveikinfifif.voi i ] a a v Kal T&v X o ^ a y a i c Kal voir i r r p a n w r u i v ot rnirerrofieroi airnXwXeaav, i v TTOXXJ; SI) airopUf i ] a a v o i ' E X X j / r t e , kvvoovfievOL fiev o r i krrl r a l e ftarriXebJQ ijvpaiQ i ) v a v , KVKXOI ce a v r o l c rrai'Ti] TroXXa c a t £•&>'»; Kal iruXeis
•n-oXifiiai f i a a v , a y o p a v 6e ovtitli; i n . rrapii,eiv 'tfieXXtv, a t r t i x o v ce riji; EXXciooc ov JJLEIOV y jxiipia arrabta, fiyifioiv S' ovctic 5"j;c doov i)v, irora/jtol Se Cieipynv
M A T R I C U L A T I O N , O.T. 1864. V a c i n f l a r o i i v fieo-v rijc O'IKUSE ocov, irpovStCuKEaav Ei
airrovc; Kal oi ai/v Kupw a v a f t a v r e c flappapoi, fiovoi ot KaraXeXeipfiivoi i)a'av, ox/Si i i n r i a ovceva rriifif.ia\ov E\OVTEQ' &OTE EVCllXoV l'}V UTI V1KWITEC f*EV OvSifa (IV KaTaKavoiEV, ijTTri^EVTMV oi avT&v o'vSi«c a v XEIOJSEIJ).
10. In the preceding parse airoXwXEaav, areixov,
TTpovOECwKEaav, KaTaXEXei/jfiivoi i)ctav, arropltf, o t o v , 'nnrEa, o v o i v a .
11. In the preceding why is Oipaie dative and' not accusative ? 'EXXaSoe genitive ? o-raSia accusa- tive ? What dependent clause could be substi- t u t e d for iiTTridivTiM)v avT&v?
12. Give the meanings and the derivations of vn-epfioXri,
Karainfiriaar;, xpytrovc, (rvaKEva^EcrOat, TTEpiipopoc, a a i v i o r a r a , a.Kpu)%'v\ia, c v a y v p l a . .
LATIN.
{Professor Irving.)
ARNOLD, Latin Prose Composition. CICERO, Laelius.
[ N . B . — I n parsing a verb, give its tense, mood, voice, .and principal p a r t s . I n parsing a noun or an adjective, its nominative and genitive, gender, number, and case. Abbreviations are not to be used.]
1. Decline throughout augur, multus, ille, toga, virilis (adj. 2 terminations), pontiles.
{Four at least must he done correctly.)
VI E X A M I N A T I O N P A P E R S ,
3. Write down the 1st person perfect indicative, the supine in -urn and the infinitive of vivo expono habeo negligo intercede facio mitto gigno exclude
capio. ' {Si-x at least must be done correctly.)
3. Write down the third person- singular imperfect subjunctive active of sedeo, the nominative plural feminine future participle of habeo, ,the third person plural perfect subjunctive active of scribo, the second person plural present indicative passive of commoveo, the second person plural perfect in- dicative active of possum, the third person plural future indicative passive of nascor.
(Four at least must be done correctly.) 4. Give the meaning of - rogare convenire peritus
superstes minari quisquam. For each construct a short Latin sentence to shew its government or use and give a translation.
5. If the infinitive be the antecedent in what gender will the relative be put ? If a clause be the ante- cedent what various forms of the relative are used ?
6. Put into Latin—
.{a). Don't you think that a bad man is very like a fool ?. {b) One of the Consuls was a man of, the greatest ability, the other most greedy of novelty, (c) I pity you for hearing the same things so often, {d) Let me know when you are going to depart, (c) The best things will always be the rarest. (/') No man is so good as never to sin. (g) Anything is enough for me. (h) How much is wheat to-day at Rome ?
MATRICULATION, O.T. 1864. vii
7. Translate literally—
Est igitur prudentis sustinere, ut currum, sic impetum benevolentise, quo utamur, quasi equis tentatis, sic amicitiis, aliqua parte periclitatis moribus amicorum. . Quidam saepe in parva pecunia perspiciuntur, quam sint leves; quidam, quos parva,movere non potuit, cognoscuntur in magna. Sin vero erunt aliqui reperti, qui, pe- cuniam prfeferre amicitia}, sordidum existiinent;
ubi eos inveniemus, qui honores, magistratus, imperia, potestates, opes amicitite non anteponant, ut, quum ex altera parte proposita hcec smt, ex altera jus amicitice, non multo ilia malint ? Im- becilla est enim natura ad contemnendam poten- tiam: quam etiam si neglecta amicitia conseeuti sunt, obscuratum iri arbitrantur, quia non sine magna causa sit neglecta amicitia.
8. In the foregoing: what case is prudentis ? by what rule'! what is the ellipse after parva ? what after magna ? what case do you call the first neglecta amicitia ? what tense mood and voice do you call obscuratum iri ?
9. Parse these words from the Ltelius—consuetudine, utebare, subtilius, disseruit, exemeris, pecudum, paruissem, discidia.
10. Give the meanings of negligere, assentator, re- muneratio, malle, continue, exiguus, quemadmo- dum, amplificare. State the words from which' each is derived with their meanings.
Vlll E X A M I N A T I O N P A P E R S ,
ENGLISH.
{Professor Irving.)
1. When is a verb called Regular and when Irregular in English ? Give two examples of each class, and shew why you refer them to it.
2. The particle "if" is sometimes omitted. When this is the case, what other peculiarity has the clause ? Construct a complex sentence to explain your answer.
3. What is the difference of meaning in " This is a picture of my friend," and " This is a picture of rny friend's "'! What is the force of the preposi- tion " of" in each sentence ?
4. Name the four oases in which " t h a t " is to be preferred to " who" or " which," and give an example of each.
5. Point out the errors in the following and correct them :—
(a.) This dedication may serve for any book that has, is, or shall be published.
{b.) Stand-the book on the shelf, or let it lay on the table,
(c.) These sort of persons are unreliable.
{d.) The examination was ordered to be holden.
C. What does Morell mean by a Middle Voice ?
MATRICULATION, O.T. 1864. ix 7. Refer these prefixes to the languages whence they
are derived, state their meanings and give two words formed with each — Bi-, Equi-, Fore-, ' Henri-, Syn-, To-.
8. Give a sentence in its elementary, and in its first enlarged form.
9. Classify under four heads the circumstances deter- mining the meaning, of a predicate, and subdivide the first two heads.
10. Give the general and the detailed Analysis of—
" Therein, ye gods, you make the weak most strong."
FRENCH.
{Professor Irving.) 1. Translate literally—
Les ofneiers de Charles X I I etaient aecoutumes a ne trouver rien d'impossible de ce qu'il ordonnait:
cependant on n'avait ni provisions ni argent; on fut oblige d'empmnter a vingt, a trente, il quarante pour cent des officiers, des domestiques, et des janissaires, devenus riches par les profusions du roi. M. Fabrice, 1'envoye' de Holstein, Jeffreys, ministre d'Angleterre, leurs secretaires, leurs amis, donntirent ce qu'ils avaient. Le roi, avec sa fierte ordinaire et sans inquietude du lendemain, subsis- tait de ces dons, qui n'auraient pas suffi longtemps.
a 3
X EXAMINATION P A P E R S ,
II fallut tromper la vigilance des gardes, et envoyer secretement a Constantinople pour em- prunter de I'argent des negociants europeens:
tous refuserent d'en preter a un roi qui semblait s'etre mis hors d'etat de jamais rendre: un seul marchand anglais, nomme Cook, osa enfin preter environ quarante mille ecus, satisfait de les perdre si le roi de Suede venait il mourir. On apporta cet argent au petit camp du roi, dans le temps qu'on commenQait &, manquer de tout et a ne plus esperer de ressource.
2. Give the English of chantier, imprimerie, sapin, accueil, penchant, dore, menuisier, temoin.
3. Give the 1st person preterite, the present participle and the past participle of the verbs apprendre, voir, connaitre, mettre, faire, soutenir, joindre, secourir, lire, vaincre.
4. Write down throughout—
{a.) The conditional of envoyer.
(b.) The present subjunctive of £tre.
(c.) The preterite indicative of tenir.
(d.) The imperative of agir.
(c.) The imperfect subjunctive of craindre.
5. Put into French—
(a.) Please give me twenty pens.—I am afraid I cannot, for I think I have onlv half-a-dozen.
{b.) He hid his face in his hands for a moment.
{c.) Which of the pictures of which we wore just speaking do you prefer? Neither: the one seems to. me us beautiful as the other.
M A T R I C U L A T I O N , O.T. 1864. XI
{d.) No one is content with his own fortune: but every one desires the happiness of others.
6. What is the difference in meaning between ou, on : outre, outre:. cou, coup: sans, sens : c6te, c6te : mai, mais ?
7. Give three rules for the gender of nouns depending on termination.
8. Translate into French—
Then his soldiers, marching more locked- together than before, repulsed Marshal Stenau, and advanced into the plain. Stenau felt that his troops were astonished : he, like a skilful man, made them retire into a dry place, flanked by a marsh and by a wood wherein was his artillery. The advantage of the ground and the time which he had given the Saxons for recovering from their first surprise, restored to them all their courage.
ARITHMETIC.
{Professor JVilson.)
Five questions must be answered correctly to entitle u
Candidate to pass. r
1. Divide two hundred thousand billions two hundred thousand millions two hundred thousand and two
XII . EXAMINATION P A P E R S ,
by nine hundred and ninety-nine thousand millions and ninety-nine and write down the remainder in words.
2. If a piece of wire six inches long weighs twro grains what will be the length of a ton of the same wire.
3. State in order the several steps to be taken in re- ducing any number of vulgar fractions to other equivalent fractious having a common denominator and work out an example in illustration of the rule you give.
4 Divide the sum of two thirds three quarters and five sixths by the difference between eight ninths and seven eighths.
5. State the rule for the multiplication of decimal fractions and give the reason for the position of the decimal point.
6. Multiply together -03759 and -057821 nnd divide the result by 789'275 to ten places of decimals.
7. If -5342 oz. of gold is worth £ 2 U. 0%d. find the value of 273-0078 oz.
8. Find the square root of 566344804.
9. Find the square root of • 9372985 to five places of decimals.
10. Express 184 yards 2 feet 9j inches as the decimal of a mile.
M A T R I C U L A T I O N , O.T. 1864. Xlil
ALGEBRA.
{Professor Wilson.)
Five questions must be answered correctly to entitle a Candidate to pass.
1. Express algebraically
i. The product of the remainders obtained by subtracting three times the number a from four times the number b and the number x from twice the number y.
ii. The quotient obtained by dividing the product of the number a and three times the number x by the excess of x over twice a.
ni. The result obtained by multiplying the excess of x over y by itself seven times,
iv. The number which when multiplied by itself will give the product of x and y.
X
2. Add together x — by + 7, 3y — ^ — 5, and 4 ( x + — ) — 9 and reduce the result to its simplest form.
3. Multiply together 3 — 4a; — 5y, 5 + 4 a ; — 8y and 4 - 5a; + 3y.
4. Divide Sa* + 7b* + t ^ - 8 - ^ by 2a + 56.
, u lo o. Reduce to its simplest form
4 a ; j 4 - 7 ( a ; - 3 y ) J _ 3 y { x - 6 , x - y j
XIV .'EXAMINATION P A P E R S , "
G. Substitute a + b for x in the expression x - — a x — b".
7. Solve the equation
1 3 ( y - 1 7 ) - 1 7 ( y - 1 3 ) = V I f i T ( y - 8 ) _ 4 y . : 2 3 4 52 8. Solve the equation — ( - j p ~ TT = =TH
X A . X o X X<J,
9. An ordinary train travels x miles an hour'; an express train travels y times as fast and starts at the same time from a place z miles off to meet the former; Find the distance between them after t hours.
10. From a rod whose length is a feet x feet are cut off and then one-third of the remainder; the portion left is then found to be x feet long; write down the equation which expresses this.
GEOMETRY.
{Professor IVUson.)
Three propositions from the First Book and Two from the Second Book must be written out correctly to entitle a Candidate to pass.
Credit will not be given for any Proposition in which Algebraical Symbols are used.
1. Bisect a given rectilineal angle.
M A T R I C U L A T I O N , ' O.T. 1864. XV
2. If at a point in a straight line two-other straight lines on opposite sides of it make the adjacent angles to- gether equal to two right angles these two straight lines shall be in one and the same straight line.
3. If a straight line falls on two parallel straight lines it makes the alternate angles equal to one another a n d - t h e exterior angle equal to the interior and opposite upon the same side and like- wise the two .-interior angles upon the same side together equal to two right angles.
4. Equal triangles upon equal bases • in the same straight line and towards the same parts are between the same j3arallels.'
6. Describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle.
6. If a straight line is divided into any two parts the rectangles contained by the whole line and each of the parts are together equal to the square on the whole line.
7. If a straight line is divided into any two parts the squares on the whole line a n d p n one of the parts are equal to twice the rectangle contained by the whole line and that part together with the square on the other part.
8. In every triangle the square on the side subtending either ot the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by either of these sides and the straight line intercepted between the perpen- dicular let fall on it from the opposite angle and the acute angle.-
XVI E X A M I N A T I O N P A P E R S , "
HISTORY.
{Professor U e a m . )
Candidates may select any two of tho following divisions.
I. Describe the Geographical position of each of the following places, and state with their respective dates the principal historical events connected with each place:—
1. Ithome.
2. Sardis.
3. Naxos.
4. Amphipolis.
6. ^Egospotami.
6. Olynthus.
I I . Give some account of the principal public events (with their respective dates) connected with each of the following persons :—
1. Valerius Publicola.
2. C. Pontius.
3. Cineas.
4. Xanthippus.
5. M. Claudius Nero.
6. T. Quinctius Flamininus.
M A T R I C U L A T I O N , O.T. ' 1864. XV11
III. Relate the principal events of English History that occurred in each of the following years; and state in each case the name of the Sovereign then reigning:—
.1. 1170.
2. 1283.
3. 1399.
4. 1471.
5. 1587.
6. 1666.
PHYSICAL GEOGRAPHY.
{Professor McCoy.)
1. What is the width of the Torrid and Temperate zones respectively and of the Polar regions ? 2. What do you understand "by the square of the sine
of the Latitude, and what use is made of it in regulating a pendulum to oscillate equally in dif- ferent parts of the World, and what peculiarities in the form of the Earth render the regulation necessary ?
3. Explain by what methods the mean density of the Earth has been approximately ascertained.
4. About how many square miles of Land exist upon the earth, and what is its general distribution and outline ?
XVlii EXAMINATION PAPERS,-.
5. What conditions of physical geography are neces- sary for the formation of Glaciers, and what is the nature, structure, and effect on the neighbour- ing country, of Glaciers ?
6. Describe approximately the characters and boun- daries of-the Steppes of Eastern Europe.
7. What is understood by the "mean height" of Continents, and what is the mean height approxi- mately of America, and of Europe and Asia taken together, and of N. America and Europe separately ?
8. Write down and connect in groups as far as you can all the existing Active Volcanoes and Volcanic Islands known, and connect them with Earthquake disturbances by any facts known to you.
9. Describe the marine circulation of currents between tho Arctic Ocean and the Atlantic, with their pro- portions, velocities, &c, and the general conclu- sions drawn from them touching the physical geography of the bottom.
10. How much nearer is the Sun to the Earth in Winter than in Summer, and how do you account for the greater heat of summer; what are the highest and lowest temperatures which have been observed in various countries at tbe surface; where are the points of greatest cold; why are localities in the Southern hemisphere hotter than in the Northern;
what is meant by mean diurnal temperature and mean annual temperature, Isothermal lines, and what is the temperature and course of the line of maximum atmospheric temperature ?.
O R D I N A R Y E X A M I N A T I O N S , O.T. 1864. x i x
ORDINARY EXAMINATIONS F O RtT H E DE- GREES OF B.A., LL.B., AND M.B.
J U N I O R G R E E K . {Professor Irving.)
iEscHYLUs, Persce. HERODOTUS, Polymnia.
[In parsing a verb, give its tense mood and voice;
the first persons of its present future perfect and second aorist active and perfect passive, if these tenses are in use; if not, then those of tlie present future and perfect employed by it.']
1. Translate literally—
§ E V , r a ^ E i a y I)X6E x p ^ a j i & v Trpai,LQ, eg Se Tralo' iftov XEVQ iirirrKnipEV TEXEVTI)V dEmpdruiv' iyi> Si irov S i a fxaKpov x p ov o v r" 2 ' r i v x p w EKTEXEVT7IO-EIV Otovg.
aXX' ti'rav arrcvSn Tic a v r o g , Y,<1 Oeos crvvaitTETai.
vvv KaKwv EOIKC trinyfi i r a a i v EvpijaOai iplXoic.
iraTc S' ifxos TaS' ov KarEiSioc; ijvvacv viu> OpdaEi' SaTic EiXXi'io-rrovTOV ipov oovXov &g SEaputfiaaiv i']Xiria£ a y j i a e t v p i o v r a , Hoavopov p o o r OEOV, Kal Tropov fiETEppvOfiifc, Kal i r i o a i c a t p v p n X a r o i c ' TreptfiaXwv iroXXi)i' KEXEVBOV fjvvcrev TroXXw o r p o r j i , OvnTOQ wv OEWV CE Tcax'Ttiiv WET', OVK evfiovXla, Kal HOOTEIOUIVOC KpaTi'iaeiv. TTWQ r a o ' o i voaog ippevuv Elys i r a l S ' ifiov ; SiSoiKa H I ] iroXuc TXOVTOV iropos ohfjioQ dvdpunroiQ y i v n r a i , TOV i p d d a a v r o e apirayi'i.
XX E X A M I N A T I O N P A P E R S , .
2. Translate literally—
.'Eyilj Si OVTE SiKa a v S p a a i virio'xpixat otog TE Eivai ' f i a \ e o - 6 a i , OVTE Svdlai' IKU>V TE Etvai ovS' a.v iiovvo-
f i a x i o i f i i . el Si d v a y K a l n E'IT), J) / l i y a c TIC 6 Errorpvvwv a y i i v , fiaxpifinv a v irdvniiv y S i a r a EVI TOVTIOV TS>V dvSp&v, ot KXXyvwv EKaaroQ (pnffi rpioiv a^iog t i v a i .
&g S i Kal AaKECaifioviot, K a r a fXEv i v a fia-)rE6jxEvoi, o v S a p t d v , Etol KaKiovEQ dvSp&v' OXEEQ Se, d p i a r o i dvSpG>v a i r a v T w v . 'EXevOEpoi y a p EOVTEQ, OV n a v r a eXEvBEpoi a i m ' EirEan y a p atpi SeirirOTTje, vdjxog, TOV VTToSEifiaivovo-i •KOXXM 'in /xaXXov, Tj oi a o i a i . TroiEvai yibv r a a v EKE'IVOC d v i i y r f dvu>yEi S i TWVTO a h l , OVK i H v tpEvyetv ovSiv TrXrjBog dvBpunrwv EK fid^rjg, <lXXa fiii'ovraQ i v rf) raXei, irnKparEEiv y airoXXvadai. aoi Si EI (palvofiai r a v r a Xiytav (pXvrjpEttv, r a X X a a i y d v iBiXto TO XOVKOV VVV CE d v a y K a a B e l g i X e ^ a , y i v o i r o f i i v r o i Kurd voov r o t , pao-iXev.
.3. Write down all the words in the preceding extract which would have a different form in Attic Greek, with the proper Attic form.
4 . P a r s e t h e s e v e r b s v i r E p p a X i a S a i , irpdrrEv, virE^apaiprj- fiivtov, SOVTEQ, 7rc(pvXa£,o, irpooTE^Elaat, (pEv^olaro, X a x p v a a , aTEtXag, EKTEIVEV, \ i a a B a t , K c c X q m u .
{Six at least must be done correctly according to the instructions given.)
5. Give the meanings and the derivations of oraOfiw-
a a a O a i , fieaafijipla, i v a f i f t i v o i , iSwjiovXEVEiv, duiprj- KOIpOpOl, da-^jlfXIOV, lOUKOOTpOlpOVV, XETTTOOOfiOig, laoppoiru), adtcmip, iXaiotjivTOC, E^apKi'ic
O R D I N A R Y E X A M I N A T I O N S , OiT. 1864. XXI
6. Copy out. mark the divisions of the feet, and the quantity of each syllable in
itg iv fiiq. TrXnyf) KariipBaprai iroXvg 6X(iog, TO TlEpauiv S' dv$og o'i-^Erai ireaov.
tojioC KUKOV fxiv rrpaiTOV dyyiXXEtv Kaxd.
Name the Meter, and explain fully the meaning of the name.
7. Translate and explain the following referring them to the proper context—
(1.) roaog yap i o r a i TriXavng a't/iaTOarayrjg irpog yrj LTXaT-aiaiv Auipicog X6y)(r)g viro (2.) atfxa-)(BE~iaa S' apovpav
A'iavroc itEpiKXiara vdaog t^Ei r a Tlepawv
(3.) o o" ovSiv aXXo y ij wrifcag Sifiag
irapE~t-)/E.
(4.) Q,p/irjfxivii> Si ol 6 rjXtog iKXnrwv rfjv IK TOV ovpavov iSpr)v dipavtjg i)v, OVT in-tvEtpiXuv iovTiav alBpirig TE r a jxaXiara.
(5.) Kvpfjdaiag ig 6*v dmyfiivag opBdg el)(ov wEirnyviag, dvai,vpicag Si ivESeCvKEaav.
(6.) dyyiXXovTEg TT\ EXXdSt o n ix TOV iviavrov TO tap avrj; ifapaipnrai.
8. Give Jelf's explanation of the construction in the following—
(1.) <5 m o r a mariav.
(2.) S, vvKrog o\pig i/xtpavi'ig ovEipdnov.
(3.) i)7rep/3aXXe( yap IJSE avfitbopd TO JXIJTE Xi^ai py'ir ipdiTijirat waSr).
XX11 E X A M I N A T I O N P A P E R S , (4.) \i>pag iatopEvEiv.
(5.) SEIVOI fidy/riv.
(6.) Tyg fiiv 6Sov iirl Kaplr/g ipepovang.
(7.) XiyEiv irpug Tolai iXeyE Eirecrt.
(8.) OVK av <p6dvoiTE dTruXXaaaoHEi'ot rljv Ta^iarnv.
(9.) rayvTEpa T) ao(pi>TEpa.
(10.) ravT-nv TI)V oSov i)fj.iXnae.
(11.) iv rolai $Ei6rarov (fialvcrai fioi yEviadat.
(12.) TO vSo>p drrrJKav i g av ^apaSpaBelr) o xjipog.
{Six at least must be done correctly.)
J U N I O R L A T I N . {Professor Irving.)
CICERO, Speech against Q. Csecilius, and the first against Verres. VIRGIL, iEneid, Books VII. VIII.
IX. MADVIG, Latin Grammar.
1. Translate literally—
Insula Sicanium juxta latus iEoliamque Erigitur Liparen, fumantibus ardua saxis : Quam subter specus et Cyclopum exesa caminis Antra iEtmea tenant, validique incudibus ictus Auditi referunt gemitiim, striduntque cavernis Stricturse Chalybum; et fornacibus ignis anhelat:
Vulcani domus, et Vulcania nomine tellus.
ORDINARY E X A M I N A T I O N S , O.T. 1864. XX111
Hoc tunc ignipotens ccelo descendit ab alto.
Ferrum exercebant vasto Cyclopes in antro, Brontesque, Steropesquc, et nudus membra Pyrac-
mon.
His infomiatum manibus jam parte polita Fulmen erat; toto genitor quce plurima ccelo Dejicit in terras; pars imperfecta manebat.
Tres imbris torti radios, tres nubis aquosoe Addiderant, rutili tres ignis et ahtis Austri.
Fulgores nunc -horrificos, sonitumque, metumque Miscebant operi, fiammisque sequacibus iras.
Parte alia Marti currumque rotasque volucres Instabant, quibus ille viros, quibus excitat urbes;
TEgidaque horriferam, turbatse Palladis arma, Certatim squamis serpentum auroque polibant, Connexosque angues, ipsamque in pectore divae Gorgona, desecto vertentem lumina collo.
Translate literally—
Nunc autem homines in speculis s u n t : obser- vant, quemadmodum sese unus quisque vestrum gerat in retinenda religione conservandisque legibus. Vident adhuc post legem tribuniciam unum senatorem vel tenuissimum esse damnatum.
Quod tametsi non reprehendunt, tamen magno opere quod laudent non habent. Nulla est enim laus, ibi esse integrum, ubi nemo est, qui aut possit aut conetur corrumpere. Hoc est indicium, in quo vos de reo, populus Romanus de vobis iudicabit. I n hoc homine statuetur, possitne, senatoribiis iudicantibus, homo nocentissimus pe- cuniosissimusque damnari. Deinde est huiusmodi reus, in quo homine nihil sit praeter summa peccata maximamque pecuniara; ut, si liberatus sit, nulla alia suspicio, nisi ea quae turpissima est
XXIV . E X A M I N A T I O N P A P E R S ,
residere possit. Non gratia, non cognatione, non aliis recte factis, non denique aliquo mediocri vitio, tot tantaque eius vitia suhlevata esse existi- mabuntur. Postremo ego causam sic agam, iudices : eiusraodi res, ita notas, ita testatas, ita magnas, ita manifestos proferam, ut nemo a vobis, ut istunr absolvatis, per gratiam conetur con- tendere. Habeo autem certain viam atque rationem, qua omnes illorum conatus investigare et consequi possim. Ita res a me agetur, ut in eorum consiliis omnibus non modo aures hominum, sed etiam oculi populi Romani interesse videantur.
3. Give the meanings and the derivations of accuso, avarus, coraitium, defensor, integer, officium, possessio, piaevaricator, repudiare, sestertius.
4. Also of amnis, dorsum, exequia?, frondosus, glo- mero, lanigcrje, mensa, nubigena?, propugnacula, tela.
5. Write down the scansion of—
Pellis obit totum preefulgens unguibus aureis.
Spiculaque, clipeique, ereptaque rostra carinis.
Fama loco neu connubiis ambire Latinum.
Evolat infelix et femineo ululatu.
6. Translate, explain, and refer to their proper con- text—
(1.) Ileus etiam mensas consumimus, inquit lulus.
. (2.) Instratos ostro alipedes pictisque tapetis.
(3.) Quam dicitur urbem Acrisioneis Danae fundasse colonis.
ORDINARY EXAMINATIONS, O.T. 1864. XXV
(4.) Renuntio tibi, inquit, te hodiernis comitiis esse absolutum.
(5.) Ut primum e provincia rediit, redemptio est hujus judicii facta grandi pecunia.
(6.) Qui non solum ne quid enunties, sed etiam ne , quid auferes custodiendus sis.
7. Write down 'the first person perfect indicative, the supine and the infinitive of adimo, assuesco, con- cutio, flecto, fodio, indulgeo, noceo, recipio, sterno, torqueo.
{Six at least must be done correctly.) 8. Give Madvig's definitions of a leading, a subordi-
nate, a compound proposition, a period, and con- struct examples.
9. Explain the relation generally denoted by the ablative. Distinguish with examples the various ways in which that relation is specialized.
10. There is a use of the dative common in Virgil which does not occur in prose. State it and ex- emplify.
11. What nouns in -us of the second declension are feminine ?
12. Give instances of nouns which fluctuate (1) be- tween the first and the second • declension, (2) between the first and the fifth, (3) between the third and the second.
\
XXVI EXAMINATION P A P E R S ,
ENGLISH AND LOGIC—PART I.
{Professor Irving?)
1. From what writer is our information about the Saxon conquest of Britain derived 1 When did he flourish'( What is the account given by him 1 Is it generally considered trustworthy 1
2. What is meant by the " Latin of tbe second period " 1 How has it generally been replaced ? Give four examples of it which are still used in English.
3. What work did Layaraon write and when? In what state was the language of England at the date of its composition ?
4. Distinguish by reigns and dates the first three periods of the English language.
5. What is tbe difference between "the two first"
and " the first two " according flc Latham ? 6. Name the auxiliaries as given by Latham. Shew
from what notion each has been diverted to its present use.
7. In what points is the English Alphabet insufficient, redundant, and inconsistent ?
8. Bv what terminations are diminutives formed in English ? Give instances to illustrate your an- swer.
O R D I N A R Y E X A M I N A T I O N S , O.T. 1864. XXV11
9. " Summum Genus and Infima Species are fixed somewhat arbitrarily." Explain fully the mean- ing of this.
10. In how many ways does Thomson say a Definition may be got ? What objection is there to his view?
'11. What does Whately mean by Contrary and Con- tradictory Terms ?
12. When are two propositions said to he opposed ? 13. Explain what is meant by saying that all Negative
Propositions distribute the Predicate. If this be so why cannot 0 be simply converted ?
14. When is a Noun called Common, when Connota- tive, when Univocal, and when Analogous ? Give two instances of each and shew that they con- form to your definitions.
15. Mention and explain a few of the names that have been given to Logic.
16. Define Examination, Book, Arrow, Coat, Logic, Barrel.
ENGLISH AND LOGIC—PART II.
{Professor Irving.)
1. Explain these expressions as employed in the Julius Caesar:—
b 2
XXV111 EXAMINATION P A P E R S ,
{a.) 'Tis a common proof.
{b.) My misgiving still
Falls shrewdly to the purpose.
(c.) And reason to my love is liable. , {d.) Brutus, as you know, was Caesar's angel.
2. What is the etymology of charm rascal several carrion clever errand ?
3. What is the original meaning of the word success?
Quote from this play an illustration of your an- swer, and state in what sense Shakespere com- monly uses the word.
4. " Upon a labouring day." What is the correct .view of the grammatical construction of this
clause ? Explain it fully.
5. " Y e t if my name were liable to fear." What rhetorical figure is here employed ? Illustrate it. , 6. Shew w'hy a speaker should not seek to gain a
reputation for Rhetorical skill.
7. Explain how it is that the employment of Special or Singular Terms is more conducive to energy than that of General Terms.
8. Explain what is meant by "Indirect Reasoning,"
and state the advantage and the risk of using it.
9. "Logic is concerned only with second intentions.'' Give Whately's and Thomson's explanations -of this statement.
ORDINARY EXAMINATIONS, O.T. 1864. xxix
10. What is the meaning of distinguishing concep- tions into symbolical and notative ?
11. Construct an example of a Sorites in which the two orders are mixed.
12. What is meant by the Degree of Modality of a judgment ? Mention and exjilain the degrees of modality as given by Thomson.
13. From the mnemonic lines it appears that no mood in the' Second Figure has both premises affirma- tive. Shew why this is so.
t
14. How does Whately answer the question " Can great discoveries be made by reasoning ?"
15. How does Whately define Illative Conversion ? 16. Put into strict Logical form and examine—
Some objects of great beauty answer no purpose but the gratification of the sight; many flowers have great beauty, and accordingly are useless save to gratify the sight.
No evil should be allowed that good may come of it, punishment therefore being an evil should he prohibited.
No one is rich who has not enough. "No-miser has enough therefore no miser is rich.
XXX E X A M I N A T I O N P A P E R S ,
S E N I O R G R E E K . {Professor Irving.)
JESCHYLUS, Agamemnon. THUCYDIDES, Book IV.
1. Translate—
lit) / i t X a S p a ftaaiXiiav, <piXai a r i y a i , ijEfjivoi TE SaKOi, Caifiovig T d v r i i X w i , ft TTOV rruXai, <paicpo~iai r o l a t S ' Ofifiaai CEijaaBE Koafio) [ i a v i X i a rroXXyi y/povio. » iJKEL y a p vyTtv (pwg i v tvippovt] rpipwv Kal ro'iaS' cnraaL KOtvov A y a j i i f i v i a v a v a ^ . ' dXX' EV vtv d m r d a a a ^ E , Kal y a p ovv wpiirEi,
'1'poiav K a r a a K a \ p a v r a TOV StKiq^opov A t o j jiaKiXXr), rij K a T E i p y a a r a i iriSov.
ftoifiol S' aioTOi Kal SEIOV i S p v f i a r a , Kal GTrfpfia irdarig i^airoXXvrai y^Bovog.
TOWVCE T p o i a TfEptliaXtlJV favKTi'ipiov a v a i , 'ArpEiCqg Trpiaflvg tvSatfiiav dvijp ' TJKEI' TiEO-Sai o' dEtwraTog ftportiv TGIV VVV' l i d p t g y a p OVTE avvTEXijg TruXtg i^EV^ETai TO Spdfia TOV irdSovg TrXiov.
oipXwv y a p dpTrayT]g TE Kal KXoirJjg CtK-nv, ' TOV pvrriov •&' ijfiapTEf.Kal rravuXEBpov
avTo^S'oi'iiv irarpwov iSptaEV co/xov.
SnrXd S' 'inaav l l p i a f i i S a i S d / i d p T i a .
2. Translate—
KA2ANAPA.
dita% ET ELTTEIV pfjniv i) Spijvov BiXuy ifibv TOV avTijg. yXia) S' inEvytOfiai trpog v a r a r o v (pwg, ro'tg i/xolg n f i a o p o i g , ' X % " "c <povEvat rolg i/iolg T'IVILV O/XOV,
ORDINARY E X A M I N A T I O N S , O.T. 1864. XXXI SovXrjg S a v o i a i j g EVfiapovg f(EipoifiaTog.
ii) jjpoTEia r r p d y f i a r ' E v r v ^ o v v r a jxtv aKid n c a v Tpi\pELEv' t l Si Svarvyr), ftoXa'ig v y p w a a w v airoyyog &Xtatv ypatjtijv.
Kal r a v T iKEtvwv fidXXov o'tKTEipw iroXv.
XOPOS.
r o fjtiv EV i r p d a a t i v aKopEarov i(j>v i r d a i fipmo'iaiv' SaKrvXiiSeiKruiv S' OVTtg dTTELTTWV E ' i p y t i flEXdSpt.JV,
jxr)KET i a i X S n g TUSE, tpivvwv.
Kal noSe irdXiv fxiv i X t l v i c o a a v fiaKapEg TUpidfiov'
Sfor/juriroc S' o'lKac' IKI'IVEI.
vvv S' t l irporipoiv a i / i d r o r t V f t , Kal Toltrt S a v o v a t $ a v w v , ciXXwv Troivag i?avdru>v ti-yav irriKpavtc' r i g d v Eii£atro j3poruv, d a i v e l
Ocftiaovt (pvvat, r d S ' UKOVWV ;
Translate—
ypuvov jxiv ovv TTOXVV dvTElyov OVK ivCtSuvTEg dXXyXoig' tTrttra, i ) a a v y a p rolg 'AByvaioig ot tiririjs uKpiXifioi £,vfifiay(6fiEvoi, THIV t r i p u i v oiiK iy/ovriDV t V - v o v g , i r p d i r o v r o ot Koplvtiwt Kal vTrEy^i>pr]o-av Ttpog TOV Xotpov, Kal IBEVTO r a ciVXa Kal OVKETI K a r i p a t v o v , aXX" i/avy^aiov. i v c t rrj rpoiri] r a v r j ] (vara TO CE^IOV Ktpag ot TTXE'IOTOI TE a v r i i v d n i B a v o v c a t AvKOippwv 6 a r p a r r i y o g . 7; 2E aXXjj a r p a n a TOVTIO TU> rpoTTb) oil K a r a Sio)£iv TTOXXIJV ovSi ray^Eiag (pvyijg yEVOfiivrjg, iirel i/jtdaBrj, i r r a v a y f u p i i a a a a itpog r a pLETtwpa iSpvBrj.
oi Si ASrivatot, wg OVKETI a v r o l g iixr\Eaav i g p.dyr\v, rovg TE vEKpovg itTKvXtvov Kal ruvg t a v r w v dvypOVVTO, rpOTraUv TE tvBiwg 'tarr\aav. rolg S' iijiiaeai'TSiv KoptvBiwv, ot i v TTJ Keyyfpeif i<dBr}vro tpiXaKEg fxij iirl TOV Kpoixfivwva wXtvaioo-i, rovrotg ov carticr/Xoe 7/
XXX11 EXAMINATION P A P E R S ,
/""X7? 7IV """O r 0" opovg TOV 'OVEIOV' Kovwprov Si wC EISOV KO.1 wg i y v w a a v , ipi>t]6ovv EvOvg. ipoi'iBnaav Si Kal oi EK rf/g TroXEwg TrpeajovTcpoi TWV KoptvBiwv, a l a d u f i t v o i TO yEytvrjLiivoV ISovTEg C£ oi 'ABrjvaioi
^ v i n r a v r a g a v r o v g i m o v r a g , Kal v o f i i a a v r t g TWV i y y v g doTvyEtrovwv TlEXoTrovvyirlwv /3oi]BEiav i m i v a i , dvE- y/wpovv K a r a rdy^og iwl r a g vavg, 'iy/ovrtg r a aKvXEVLtara Kal Tovg t a v r w v vEKpovg TTXI)V Svolv ovg EyKaTiXnrov ov Svvd/xEvoi evpelv. Kal d v a p d v r t g iirl r a g v a v g iiTEpaiwBnaav ig r a g iiriKEtjiivag vijaovg, iK S' a v r w y EiriKJipvKEvrrdfAEVOi rovg VEKpovg ovg i y K a r i X n r o v VTTO- tnrovSovg dvEiXovro. d n i B a v o v S i KoptvBiwv f i i v i v rij ftdyi) SwStKa Kal SiaKoaioi, ''ABnvalwv 0£ 6Xiyu>
i X d a a o v g TTEvri'iKOVTa,
4. Translate—
c a t vvv TOV dipavovg TE TOVTOV Ota TO drEKjxapTov Siog Kal Sid TO ijSn (pofltpoig . i r a p o v r a g ''ABrfvaiovg, KUT dfitjiorEpa EKwXayivTEg, Kal TO tXXtrrEs rife yvwicifg, wv EKaarog n WI'IBIJLIEV i r p d s t i v , ra'tg KwXi/iaig r a v T a c c 'iKavwg vofilaavrEg Eipy(6ijvai, rovg Etpearwrag -rroXEfxlovg EK rijg y/wpag dTroirifnrwfiEV, Kal a v r o l fxdXiara /JLEV i g diSiov i,viijiwLi£v, ei SE /XI), ypovov wg irXt'iarov o-KEiadjXtvoi r a g iclag Siatpopdg i g avBig avaftaXwfiEBa.
TO £,vjiirav TE Si) yvw/XEV TTESOLIEVOI fitv ifjtol TTOXIJ' 'it,oi'-EC EKaarog i X t v B i p a v , dip' )}c avroKpdropEg OVTEQ TOV EV Kal KUKwg Spuivra i £ 'iaov dptTrj dfivvovfiEBa' fjv Si dmo-TtiaavTeg aXXotc viraKOvawptv, ov irtpl TOV nfiwpi'iaaaBai n v a , ttXXa c a t d y a v EI Tvy^otfiEV, (piXoi fiiv d v , rolg iyiBiaroig, Stdtpopot Si oig ov YJ») Kar d v d y K n v ytyvoljXEda.
5. What is the meaning of the following terms rela- tive to the Greek Theatre: Chorus, Orchestra, Thymele, Parodos, Stasima ?
ORDINARY EXAMINATIONS, O.T. 1864. xxxiil 6. What are the principal events of the Peloponnesian
War which are told in the 4th Book of Thucy- dides, and in what years B.C. did they occur ? 7. Translate, explain and refer to the context—
{a.) avroroKOV rrpo X6y(ov iioyEpdv Trrura Bvopivoitri.
(b.) dvSpiig afayEtov Kal irioov pavrt'ipiov, {C.) ETTESOV ovciv ovciv, (is rdo' ijfnrXaKOv.
{d.) Kal iyy^Etpi'iaav-Eg tipyd£ovro, aiCi'ipia ftir XoBovpyd OVK iyovrtg, XoydSi\v Si (pipovreg XiBovg KUI
1 ZvvtTiBtaav wg EKaarov TI L,vj.ijiaivoL.
(e.) cara TO dtl irapelKOv TOV KpnfivwSovg rijg vi'/miv wpoafiaivwv.
( / . ) yevofiivng ciafiapriag TWV y/jtepwv ig dg iSti dfitporipovg arparEvtiv.
8. Give the meanings and the derivations of vEoppvrog, 6v£ip6(pavrog, «Y,''''ta, y/pvatmaaroc, vizrlaafxa, uyvp- rpla, oiaiiivog, avriiraXog, diroaiiiovv, (ppovpog, fitr- Ewpi^Etv, pvaH,.
S E N I O R L A T I N . {Professor Irving.)
TACITUS, Annals IV. V. V I . X I . X I I . HORACE, Satires.
1. Translate—
Pleraque eorum qutc rettuli quteque referam, parva forsitan et levia memoratu videri non nescius sum : sed nemo Annales nostros cum scriptura eorum contenderit, qui veteres popuh
b 3
XXXIV E X A M I N A T I O N P A P E R S ,
Roraani res composuere. Ingentia illi bella, expugnationes urbium, fusos captosque reges, aut . si quando ad interna praoverterent, discordias con-
sulum adversurn tribunes, agrarias frumentarias- que leges, plebis et optimatium certamini, libero egressu mcmorabant. Nobis in arc to et inglorius labor: immota quippe aut modice lacessita pax, majstte urbis res, et princeps proferendi imperii incuriosus erat. Non tamen sine usu fuerit introspicere ilia, primo aspectu levia, ex quis' magnarum saepe rerum motus oriuntur. Nam cunctas nationes et urbes populus aut primores aut singuli regunt: delecta ex iis et consoeiata rei publicfe forma laudari fhcilius quam evenire, vel, si evenit, baud diuturna esse potest. Igitur, ut olim plehe valida, vel cum patres pollerent, noscenda vulgi riatura et quibus modis temperan- ter liaboretur, senatusque et optimatium ingenia qui maxime perdidicerant, callidi temporum et sapientes credebantur; sic converso statu, neque aha re Romana quam si unus impentet, hoec con- quiri tradiquo in rem fuerit, quia pauci prudentia honesta ab detcrionbus, utilia ab noxiis disccrnunt, plures aliorum eventis docentur. Ceterum ut profutura, ita minimum oblectatioms afferunt.
Nam situs gentium, varietates prooliorum, clari ducum exitus, retinent ac redintegrant legentium animum : nos sreva jussa, continuas accusationes, fallaces amicitias, perniciem innocentium et easdem exitu causas conjungimus, obyia rerum similitudine et satietate. Turn quod antiquis scnptoiibus rams obtrectatur, neque refert cujus- quain, Punicas Romanasve acies lastius extuleris : at nmltorum qui Tiberio regente pamam vel in- famias subiere, poster! manent. Utque familiae ips;u jam extinctte siut, reperies qui ob similitudi-
ORDINARY EXAMINATIONS, O.T. 1864. XXXV
nem morum aliena malef'acta sibi objectari putent.
Etiam gloria ac virtus infensos habet, ut nimis ex propinquo diversa arguens.
Translate—
Exin Cotta Messalinus, sacvissimae cujusque sententiae auctor eoque inverterata invidia, ubi primum facultas data, arguitur pleraque: C.
Ctesarem, quasi mcestae vinlitatis, ot cum die natali Augustae inter sacerdotes epnlaretur, noven- dialem earn coonam dixisse; qucrensque de po- tentia M. Lepidi ac L. Arruntii, cum quibus ob rem pecuniariam disceptabat, addidisse, " Illos quidem senatus, me autem tuebitur Tiberiolus mens." Neque cuncta a primoribus civitatis revincebatur; iisquo instantibus ad imperatorem provocavit. Nee multo post littcne afferuntur, qmbus in modum defensioriis, repetito inter se atque Cottam amicitiao pnncipio crebrisque ejus officiis commeinoratis, ne verba prave detorta neu convivalium f'abularem simplicitas in crimen duceretur postulavit. Insigne visum est earum Ciesaris litterarum initium; nam his verbis ex- orsus est: " Quid scribam vobis, patres conscripti, aut quomodo scribam, aut quid omnino non scribam hoc tempore, di me dexque pejus perdant quam perire me quotidie scntio, si scio." Adeo facinora atque flagitia sua ipsi quoque in suppli- cium verterant. Neque frustra jiraestantissimus sapientiae firmare solitus est, si rechulantur tyran- norum mentes, posse aspici lamatus et ictus, quando ut corpora verbenbus, ita sievitia, libidine, malis consultis animus dilaccretur. Quippe Ti- berium non fortuna, non solitudines protegebant,, quin tonnenta pectoris suasque ipse pcenas fateretur.
XXXVI EXAMINATION P A P E R S ,
3. Translate—
Hoc ego commodius quam tu, prasclare senator, Millibus atque aliis vivo. Quacunque libido est, Incedo solus; precontor, quanti olus ac far;
Fallacem circum vespurtmumque pererro Saepe forum ; adsisto divinis; inde domum me Ad porri et ciceris refero laganique catinum;
Ccena ministratur pueris tribus, et lapis albus Pocula cum cyatho duo sustinet; adstat echinus Vilis, cum patera guttus, Campana supellex.
Deinde eo dormitum, non sollicitus, mihi quod eras
Surgendum sit mane, obeundus Marsya, qui se Vultum ferre negat Noviorum posse minoris.
' Ad quartam jaceo ; jiost banc vagor ; aut ego lecto
Aut scripto, quod me taciturn juvet, ungor olivo, Non quo fraudatis immundus Natta lucernis.
A st ubi me fessum sol acrior ire lavatum Admonuit, fugio Campum lusumque trigonem.
Pransus non avide, quantum interpellct inani Ventre diem durare, domesticus otior. Haec est Vita solutorum misera ambitiono gravique;
His me consoler victurura suavius, ac si
( Quaestor avus, pater atque meus patruusque fuisset.
4 Translate—
Cautus adito,
Neu desis operae, neve immoderatus abundes.
Difticilem et morosum offendet garrulus; ultro Non etiam sileas. Davus sis comicus atque Stes capite obstipo, inulturn similis metuenti.
Obsequio grassare; mone, si increbruit aura, Cautus uti velet carum caput; extrahe turba Oppositis humeris; aurem substringe loquaci.
ORDINARY EXAMINATIONS, O.T. 1864. XXXV11
Importunus amat laudari; donee, ' O h e j a m ! ' , Ad coelum manibus sublatis dixerit, urge et Crescentem tumidis infla sermonibus utrem.
Quum te servitio longo curaque levarit, E t certum vigilans, 'Quartac esto partis Ulixes,' Audieris, 'heres :' 'Ergo nunc Dama sodalis Nusquam est ? Unde mihi tam fortem tamque
fidelem ?'
Sparge subinde; et, si paullum potes, illacri- mare; est
Gaudia prodentem vultum celare. Sepulcrum Permissum arbitrio sine sordibus exstrue; funus Egregie factum laudet vicinia. Si quis Forte coheredum senior male tussiet, huic tu Die, ex parte tua sen fundi sive domus sit Emptor, gaudentem nummo te addiccre. Sed me Iraperiosa trahit Proserpina; vive valeque.
•5. Explain the following passages and refer them to their proper context—
(1.) Censuerat ut prastoriani actis stipendiis jus apiscerentur in quattuordecim ordinibus sedendi.
(2.) Tectum inter et laquea'ria tres scnatores sese abstrudunt; foraminibus et rimis aurem admovent. •
(3.) Refert ad senatum, datisque judicibusUrgulania Silvani avia pugionem nepoti misit.
(4.) Sapiens crepidas sibi nunquam Nee soleas fecit; sutor tamen est sapiens.
(5.) Fracta pereuntes cuspide Gallos.
(0.) Plumbeus Auster
Auctumnusque gravis Libitinoa questus acerboe.
xxxviu
6. There are two Caii Caesares mentioned in the Annals. How were they severally related to Augustus and what became of them ?
7. Derive fully, introrsum, vectigal, fartor, placenta, coactor, catillus, vcneficium, contio, sobrina, effigies, absurdus, provincia.
• GEOMETRY AND TRIGONOMETRY.
{Professor Wilson.)
Eight questions must be answered correctly to entitle a Candidate to pass.
Credit will not be given for any Proposition from Euclid in which Algebraical symbols are used.
1. I n any right angled triangle the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle.
2. If a straight line is divided into two equal and also into two unequal parts the rectangle con- tained by the unequal parts together with the square of the line between the points of section is equal to the square of half the line.
3. From a given point without the circumference draw a straight line which shall touch a given circle.
ORDINARY E X A M I N A T I O N S , O.T. 1864. XXXIX
4. If from a point without a circle there are drawn two straight lines one of which cuts the circle and the other meets it and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle is equal to the square on the line which meets it the line which meets the circle touches it.
5. Describe a circle about a given equilateral and equiangular pentagon.
.0. If the sides of two triangles about each of their angles are proportionals the triangles are equi- angular and the equal angles are those which are opposite to the homologous sides.
7. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
8. If two straight linns are parallel and one of them is at right angles to a plane the other also is at right angles to the same plane.
9. If one circle touch another internally any straight line drawn through the point of contact will cut off similar segments.
10. If a sphere be cut by any plane the section will be a circle.
11. If each pair of opposite angles of a quadrilateral figure be equal to two right angles a circle can be described passing through the four angular points.
12. If the radius of the earth is 39G3 miles and sub- tends an angle of 5 8 ' - 1 0 " at the distance of the moon calculate the distance of the moon.
13. In two lines which meet in a point two points are taken twenty inches from the angular point and it is found that the line joining them is two feet long.
Calculate the sine the cosine the tangent and the secant of half the angle contained by the two lines.
14. Find the expression for cos A in terms of cosec A.
15. Prove the formula for expressing cos {A + B) in terms of the sines and the cosines of A and B . 16. Shew that 2 sin ^ = > / l + s i n 2 J . + ^ l — sm2A.
17. Two sides of a triangle and an angle opposite one of them are given. Explain clearly in what cases the triangle can be solved without ambiguity.^
18. A regular poh'gon of twelve sides is inscribed in a circle whose radius is 48 feet. Find its area.
ALGEBRA.
{Professor Wilson.)
Eight questions must be answered correctly to entitle a Candidate to pass.
1. Find the highest common factor of 66a;3 — o9x"-y + SGxy"- — 9ys
and 5Gx3 + Ux*y — BQx'y2 + 9y3
2. Multiply together •
x- x . , x2 x
— + 1 and — + - + 1
a2 a a- a
ORDINARY E X A M I N A T I O N S , O.T. 1864.
3. Find the value of —^— + — — x + y x — y
, l a + b , a — b when x = / r and y = / , ,
4. Find the square root of
(2a2 + 7x2) — Sax (14a;2 - Sax + 4a2) • 5. Find tbe square root of 11 — 6 ^ 2
\
6. Find x from the equation
11 (* - 9) - 9 (a; - 11) = « / l 7 ( a ; - 1 2 ) + 2a;
7. Find x and y from the equations 7 y ~ 5 x = 24 V — x _ 1_
y + a; 6 8. Find a; from the equation
(15a; + 2) {x - 1) + 4 = 0
9. A certain question was carried by a majority which was equal to one third of the number of votes on the losing side. If ten more had voted with the minorit\r, the whole number of voters remaining the siime*; it would have been carried by a majority of one. How many voted ?
-,/•><-,, i a + b . a a . , b 10. Shew that ———, is equal to — if — is equal to - r
C -|~ CI C O CL
11. When a solid floats in a liquid the fraction of it which is immersed varies directly as its specific
xlii EXAMINATION PAPERS,
gravity and inversely as the specific gravity of the liquid. When cork whose specific gravity is 0-29 floats in turpentine whose specific gravity is 0*87 one third of it is immersed. A cubical block of ice whose specific gravity is 0-93 floats in water whose specific gravity is 1 so that 7 feet are above water. How much is immersed ?
12. When air is contained in the upper part of a barometer tube the mercury is 'depressed below the height at which it ought to stand by a quan- tity which varies inversely as the volume occupied by the air.
When the air occupies half a cubic inch the . mercury stands at 29'4 inches and ought to stand at 30 inches. What is the true height of the barometer when the mercury stands at 30 inches supposing the air then to occupy four tenths of a cubic inch ?
13. Find a mean proportional between 18a3a; and 98axy2
14. Shew that a quadratic equation cannot be satisfied by more than two different values of the unknown quantity.
15. Find the sum of n terras of the series ,fc 1 + 3 + 5 + 7 + &c.
16. Investigate an expression for the sum of n terms of a series in Geometrical Progression.
17. A cricket club consists of eighteen players of whom only four can bowl. How many different elevens can be formed so as to contain twp bowlers at least?
ORDINARY EXAMINATIONS, O.T. 1864. xliii
NATURAL PHILOSOPHY.
{Professor Wilson.)
Eight questions must be answered correctly to entitle a Candidate to pass.
» 1. Explain what is meant by the resolved part of a force in any direction and assuming the truth of the parallelogram of forces prove the expression for the resolved part of a force in a direction inclined at an angle 6 to the direction of the force.
.- 2. Two forces whose magnitudes .are as 1 ; *v/3-act at the same point in directions at right angles to one another: find tho magnitude and direction of
their resultant. f t ) 3. A uniform rod A B whose weight is 10 lbs. and
length 8 feet is laid over two props C and D which are 5 feet apart and in the same horizontal line so that A is 2 feet from C: find the pressure on each prop.
4. In the preceding question a weight is laid on the rod at B sufficient to remove all pressure from C:
shew that the pressure on D is ten times as great as it was before.
5. An axle consists of two parts whose diameters are five inches and six inches and is turned by a handle two feet four inches long; a weight of one ton is raised by means of a single pulley and
xliv . EXAMINATION-PAPERS,
a rope the ends of wrhich are wound in opposite directions round the axle: find the force which must be applied to the handle.
6. In the system of pulleys in which the same string passes round all the pulleys shew that P : W as the distance through which W moves us to the distance through which P moves.
7. Find the ratio of the power to the weight on the smooth inclined plane when the power acts hori- - zontally.
8. Shew that a body on a horizontal plane will stand or fall according as the vertical line through its center of gravity falls within or without the base.
9. State the second law of motion.
10. Assuming the equation v=- at shew that s = \gt2
the notation being the usual onel
11. A body falls to the earth from a height of 256 feet: find the time occupied by the last 192 feet of its descent.
12. Write down the formula for the time of oscillation of a pendulum whose length is I and from it cal- culate in inches the length of the seconds pen- dulum.
13. A bullet weighing 400 grains is fired with a velo- city of 1200 feet a second into a block of wood weighing 50 lbs. which is at rest but can move .freely in the direction of the bullet's motion : cal?
ORDINARY EXAMINATIONS, O.T. 1864. xlv culate the velocity with which it will begin to move. --.v|
14. Supposing the block in the preceding question suspended by a string without weight ten feet long find the cosine of the angle through which it will swing from the vertical.
15. Investigate an expression for the pressure at a i depth below the surface of a liquid at rest.
16. A square vessel floats in water with its base hd zontal: a weight of seven pounds and a h a y is placed in it and it sinks four inches : calculat '"
length of a side of the square.
17. A vessel in the form of a cone whose base-.- __,. „ wards is filled with liquid : compare the pres^ire on the base with the whole weight of the liquid ' the volume of a cone being one third the volume of the circumscribing cylinder.
18. Describe the mercurial thermometer and explain the difference between the Centigrade and Fah- . renheit graduations. '
19. Explain by reference to an experiment what is
•meant when it is said that heat becomes -latent when water is converted into steam.
20. Describe the single acting atmospheric pumping engine as it existed before Watt's improvements and explain how the piston was raised and what was the'use of the steam.
y
xlvi EXAMINATION PAPERS,
' DIFFERENTIAL CALCULUS AND. ANALYTICAL ' GEOMETRY.
{Professor Wilson.)
1. Define a "Differential Coefficient" and from your definition investigate the differential coefficient / of tan a;.
2. Differentiate -.=, cos —-=-, E "•"x
v a — b v x v x versin (o + bx)
3. Find the n'h differential coefficient of cos x and hence expand cos a; in a series of powers of x by Maclaurin's theorem.
4. Find the form of the cone of maximum volume whose curved surface has a given area.
u 0 5. If — is a fraction which assumes the form -?r
, , „ d"u d"v v 0
when x = - a shew that the value ol —; =- -r-:
dx" dx*
when x = a is the limiting value of — where n is the smallest number for which ~,— and -^—
dx" dx"
do not both vanish when x = a.
6. Find the condition that the lines Ax + By + C = 0 i and A'x + B'y + C' = 0 may be at right
angles to one another.
ORDINARY EXAMINATIONS, O.T. 1864. xlvii
7. Find the equation to the locus of the middle point
•C- °f a straight line of given length whose extremi- ties rest on the coordinate axes.
8. Find the equation to the tangent at the point x,y '•' to a curve whose equation is, u = 0.
9. Shew that the tangent to tho ellipse at any point makes equal angles with the focal distances of that point.
10. Find the locus of the foot of the perpendicular ' from the focus of the hyperbola on the tangent.
11. Find the locus of the middle points of a system of chords in the parabola parallel to the line y = mx.
12. Shew that the four points of intersection of the
x v x- v 2
. / " ellipses — + %- = 1 and -=— + J— = 1 lie on a
v ' a2 b2 I2 a2
circle and find its equation.
13. Find the length of the perpendicular on the tan- gent to an ellipse in terms of the angle it makes with the axis major, y '
1 sin 5x
14. Integrate—: r , r—, x3*/2ax —
b x° — 1 cos *x
X *
15. Find the volume of the solid generated by the y s " revolution of a circle whose radius is a round a line in its own plane at a distance Sa from its center. •
xlviii EXAMINATION PAPERS,
CHEMISTRY, MINERALOGY, AND BOTANY.
{Professor McCoy?)
1. Explain clearly the construction and use of the sliding scale of Chemical Equivalents and the chemical principle on which its value rests, giving some examples of its application.
2. Explain clearly the constitution of the groups called Oxygen Salts, Hydrates, and Sulphur Salts respectively.
3. What are the general rules applicable to the changes produced in compounds by Electrolysis and the order of re-arrangement of the con- stituents ?
4. Write down the Metalloids in the order of the electro-chemical powers.
5. What minerals represent Moh's scale of hardness ; and how is the hardness of minerals determined ? 6. Give some examples of Isomorphous or Plesiomor-
phous minerals, and state clearly what is meant by Isomorphism.
7. How do you recognise the optic axes in crystalline minerals, and what is the number and position of such axes in each system of crystals ?
8. Write clown the symbols for all the faces of each of the fundamental forms of the Tesseral or Mono- metric systems.
