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norat eumdem Fabricius, norat Coruncanius : qui quum ex sua vita tum ex eius, quem dico, Decii facto iudicabant esse profecto aliquid natura pulcrum atque præclarum quod sua sponte peteretur quodque spreta et contempta voluptate optimus quisque sequeretur. -CATO MAJOR XIII. 43.

II. Res erat minimè obscura : etenim palàm dictitabat, consulatum Miloni eripi non posse, vitam posse. Significavit hoc sæpe in senatu : dixit in contione. Quinetiam Favonio, fortissimo viro, quærenti ex eo, quâ spe fureret, Milone vivo, respondit, triduo illum, ad summum quatriduo, periturum : quam vocem ejus ad hunc M. Catonem statim Favonius detulit. PRO MILONE IX. 26.

III. Quare, cùm et bellum ita necessarium sit, ut negligi non possit ; ita magnum, ut accuratissimè sit administrandum ; et cùm ei imperatorem præficere possitis, in quo sit eximia belli scientia, singularis virtus, clarissima auctoritas, egregia fortuna; dubitabitis, Quirites, quin hoc tantum boni, quod vobis a Diis immortalibus oblatum et datum est, in rempublicam conservandam atque amplificandam conferatis ? — PRO LEGE MANILIA XVI. 49.

IV. Cùm facilè exorari, Cæsar, tum semel exorari, soles. Nemo unquam te placavit inimicus, qui ullas resedisse in te simultatis reliquias senserit. Quanquam cui sunt inauditæ cum Deiotaro querelæ tuæ ? Nunquam tu illum accusavisti, ut hostem, sed ut amicum officio parum functum, quòd propensior in Cn. Pompeii amicitiam fuisset, quàm in tuàm. Cui tamen ipsi rei veniam te daturum fuisse dicebas, si tantùm auxilia Pompeio, vel si etiam filium misisset, ipse excusatione ætatis usus esset. - PRO REGE DEIOTARO III. 9.

1. State concisely the circumstances and subject of any one of Cicero's Orations against Catiline.

2. Explain the use of the moods in indirect discourse.
3. What does Cicero usually mean by Asia and Gallia ?

VIRGIL.
TRANSLATE two passages, - II. and either I. or III. Answer all the ques-
tions.
I. C. Muscosi fontes et somno mollior herba,

Et quæ vos rara viridis tegit arbutus umbra,
Solstitium pecori defendite; iam venit æstas
Torrida, iam læto turgent in palmite gemmæ.

T. Hic focus et tædæ pingues, hic plurimus ignis
Semper, et adsidua postes fuligine nigri;
Hic tantum Boreæ curamus frigora, quantum
Aut numerum lupus, aut torrentia flumina ripas.

ECL. VII. 45–52. II.

Anna, vides toto properari litore? Circum
Undique convenere ; vocat iam carbasus auras,
Puppibus et læti nautæ inposuere coronas.
Hunc ego si potui tantum sperare dolorem,
Et perferre, soror, potero. Miseræ hoc tamen unum
Exsequere, Anna, mihi; solam nam perfidus ille
Te colere, arcanos etiam tibi credere sensus ;
Sola viri mollis aditus et tempora noras ;
I, soror, atque hostem supplex adfare superbum :

Æn. IV. 416 – 424. III. Tum contra Iuno; Terrorum et fraudis abunde est :

Stant belli caussæ : pugnatur comminus armis ;
Quæ fors prima dedit, sanguis novus imbuit arma.
Talia coniugia et talis celebrent hymenæos
Egregium Veneris genus et rex ipse Latinus.
Te super ætherias errare licentius auras
Haud Pater ille velit, summi regnator Olympi.
Cede locis. Ego, si qua super fortuna laborum est,
Ipsa regam. Talis dederat Saturnia voces.

ÆN. VII. 552-560. 1. Give a brief summary of the events in Æneid III.

2. Divide into feet, marking the quantities and ictus of every foot, the second and fifth lines in II.

3. How does the metre help to determine the meaning of the second line in I. ?

a

ARITHMETIC AND LOGARITHMS.

LOGARITHMS.

1. Find, by logarithms, the value of ♡ (1.06)6

of 444.4 2. Find, by logarithms, the value of

0.864 + 0.0001 3. If the base of a system of logarithms is 8, between what integers does the logarithm of 9 lie? of 90 ? of 900 ?

ARITHMETIC.

0.5 X 0.006 of 18 of (3) 4. Find the sum of

and

$X $X () 1.6 + 0.625 5. Obtain the answer to the first question on this paper

without using logarithms.

6. Three men contract to do a piece of work for $8,775. The first man employs 20 men, 24 days, 10 hours a day; the second 25 men, 20 days, 12 hours a day; the third 30 men, 25 days, 9 hours a day. How much should each of the three contractors receive ?

7. What circulating decimal is equivalent to the sum of 3, ,

and ?

8. A man buys 454 bushels of wheat for $3 a bushel, and sells the wheat at $ 8.75 a hectolitre. How much does he

gain ?

(Litre = 0.908 quart, dry measure.)

9. If 2 A. 3 R. 4 P. be multiplied by 23, what part is the product of 15 A. 1 R. 2 P.?

10. If a grocer's scales give only 15 oz. 4 dr. for a pound, out of how much money is a customer cheated who buys sugar to the amount of $ 55.04 ?

ALGEBRA

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1. Find the greatest common divisor of 2 x2 + x — 1, x3 + 5 x
+ 4, and 2 + 1. (Obtain the result, if possible, by separating
each polynomial into its prime factors.)
2. Find the simplest expression for
1+
1

2
+
1+c+ 1

1+ 2+ **
3. A number consists of two digits. If 9 be added to the
number, the digits are inverted; and the sum of the number
thus formed and of the original number is 33. Find the digits.

4. If n be divided into two parts, prove that the difference of the squares of the parts equals n times the difference of the parts. 5. Find the square root of 2*4 + 2 208 x + 1

2atn 6. Given

3'3, a is š. Find the value of n.
3n+ 69 a

3 + 2
4

7
7. Solve the equation

+
1 2 x 2

1

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8. A cistern is filled by two pipes in 2h. 55 m.

The larger pipe will fill the cistern, by itself, in two hours less time than the smaller pipe will fill it. In what time will each pipe fill the cistern?

9. The cube root of a number is twice the square root. Find the number.

a

ALGEBRA. — Course II. and Advanced Standing.

1. The sum of the two digits which form a number is 9, and if the number be divided by the sum of the digits the quotient is 5. Find the number.

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3. A merchant bought a certain number of pieces of silk for £180. Had he received three more pieces for the same money, each piece would have cost £3 less. How many pieces did he buy?

4. Obtain the equation whose roots are m+n and m What form will the equation take if m=n?

5. The first term of an Arithmetical Progression is 5, the last term is 302, the common difference is 3. Find the number of terms.

n.

=

6. Solve the equation ✓ x+4-x=V x + 3.

7. Find the first five terms of N 1 + x by the Binomial The

orem.

8. In the Geometric Progression, a, b, ... find the sum of an infinite number of terms.

9. Out of 12 consonants and 5 vowels how many words can be formed, each containing 3 consonants and 2 vowels ?

.

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