6514 comp.- . t Southern Branch of the University of California Los Angeles Form L 1 Gol4 .-.84 UNIVERSITY OF CALIFORNIA LIBRARY Los Angeles This book is DUE on the last date stamped below. M 5 1983 315 YALE Examination Papers. COLLKCTED AND ARRANGED F. B. STEVENS. BOSTON: PUBLISHED BY GIXN, HEATH, & CO. 1884. Entered according to Act of Congress, in the year 1882, by F. B. STEVENS, in the Office of the Librarian of Congress, at Washington. J. S. CusuiNo & Co., Printers, Boston. s2^ CONTENTS. Algebra 5, 133 Arithmetic 1, 119 Caesar 24, 147 Cicero 32 English Grammar 174 Geography 170 Geometry 11, 125 Greek at Sight 110 Greek Gram^iar and Composition .... 69 Greek History 113 Greek Prose 76 History of United States 166 Homer 97 Latin at Sight 63 Latin Grammar 18 Latin Composition 65, IGl Roman History 67 Trigonometry 142 Vergil and Ovid 46 NOTE. This book is published for the convenience of teachers and pupils in preparatory schools, and may profitably be used as a text-book for review. It contains a complete set of papers used at the regular entrance examinations since 1876, when the present system of written examinations was fully established, together ■with eight consecutive entrance papers of the Sheffield Scientific School. The papers used hereafter will be added from year to year. ACADEMICAL DEPARTMEITT. REQUIREMENTS FOR ADMISSION. (Academical Depaiitment. ) 1883-84. Higher Arithipetic : Including tlie metric system of weiglits and meas- ures. Algebra: So much as is iuclnded in Loomis's Treatise, up to the chapter on Logarithms. Geometry : Euclid, book first, and the first 33 exercises thereon in Tod- hunter's edition; or, the first four books in other geometries, with the above exercises. Latin Grammar. Caesar : Four books of the Gallic war, or two books of the Civil war. Cicero : Seven Orations. Vergil : Bucolics, and first six book;; of the ^neid, including Prosody. Ovid : Metamorphoses, 2500 lines. The translation, at sight, of passages from Cicero or Csesar. The translation into Latin of a connected passage of English prose. [As special importance will be given to this part of the examination, it is suggested to teachers that they connect exercises in making Latin, both oral and written, with all the Latin studies of the preparatory course.] Roman History : Creighton's Primer of Roman History is suggested as indicating the amount required. Greek Grammar. The translation of English into Greek. ' Xenophon : Anabasis, four books. Homer : Hiad, three books, with Prosody. The translation, at sight, of a passage from some work of Xenophon. Greek History. The rules for pronunciation givcfu in ILadlcy's Grammar are recommended as a guide. For Greek History, Dr. Wm. Smith's or Fyffe's text-book; and for Greek Composition, Jones's Exercises or White's Lessons are ARITHMETIC. 3 2. Divide -i- 1 by/,-. 3. Find, to three decimal places, the value of — -> V3 4. Find the 4tli term of a proportion of which the first, second, and third terms are, respectively, 3.81, 0.056, 1.67. 5. Reduce 3 R. 13 sq. rds. 8 sq. ft. to decimal of an acre. 6. (a) In a board 4'" long and Ci"" wide, how many square decimeters? (6) Divide 2700'" by 90'='. 1881. 33 1. Divide | of j\ of f by ^r^, and add the quotient to 3 _ 7 ^TTT 4 iT' 2. Find V -gV to three decimal places. 3. Find, to three decimal places, the number which has to 0.649 the same ratio which 58 has to 634. 4. A man bought a piece of ground containing 0.316 A. at 53cts. a square foot ; what did he pay for the piece? 5. A grocer buys sugar at 18cts. a kilo, and sells it at let. per 50° ; how much per cent does he gain ? 1882. 34 1. Find the value of —S- of f of an acre ac $1.36 per square foot. tt 2. Divide 3.63 by 2.353, and find the square root of the quotient to three decimal places. 3. Find a fourth proportional to 3.75, 0.23, and 0.16. 4. (a) Multiply the sum of 7""^", 823'", and 125""", by 5.12. (&) What is the weight in kilograms of 12'"' of water? AKITHMETIC. 1883. 1. Divide 82.1 by 41, 8.21 by 0.41, aud 0.821 by 410. Carry the result iu each case to four decimal places. 2. Fiud the value to three decimal places of V(0.146)-+(0.0G3)2. 3. Divide g ^ 12 X - by — - • I of 5-1 4 "^141 4. Some sugar is adulterated as follows : -^^ is worth 8 cents per pound, ^ is worth 10 cents per pound, -^ is worth 12 cents per pound, and the remainder, 33 pounds, is sand. What is the mixture worth per pound? V 5. Bank stock which sells at 170 pays an annual dividend of 12J^ per cent. AVhat rate of interest does a buj'er receive? • 6. Find the depth iu meters of a cubical cistern which has a capacity of 30,000'. Give the result to three decimal places. ALGEBRA. 1879. 1. Divide (3 a — Z>) by a-{-b-\ j, and simplify. a-\-b 2. (a) Find the sum and difference of Vl«a'6^ and (b) Multiply 2V3-V"^ by 4V3-2V"^. 3. Solve the equation, a; — 1 23 — x _ ^ _ 4 +x 7 5""" ' 4 4. Solve the equation, a; — 3 a* — 4 _ 7 x-2 ~ x-l ~ 20' 5. The sum of an arithmetical progression, whose first term is 2 and last term 42, is 198 ; find the common differ- ence and the number of terms. 6. Expand to four terms, by the binomial theorem, (cr— 6)K 1880. 1. (a) Divide — ■ 1 by — ■ , and reduce a — I a 4-1 a —1 a+l the quotient to its simplest form. (b) Find the greatest common divisor of x^-Qx'-Sx-d and 4ar^-12a;-8. 2. (a) Find the sum of GV4a^, 2V2a, and VSa'. (&) Reduce to its simplest form the product, (a;-l-V^)(a;-l-f-V^)(x-2-HV^)(x-2-V^). 8 ALGEBRA. 3. Solve the equations, (b) .r-l4-_A_=0; ^ ^ x-4. , . X x^ +1 X' — 1 X 4. Four numbers are in arithmetical progression : the product of the first and third is 27, and the product of the second and fourth is 72 ; what are the numbers ? 5. By the binomial theorem, expand to four terms, (a) (l-&)-^ (6) ix^-f)K 1881. 1. Free from negative exponents {icr'^b^x'^)'*. 2. Reduce to lowest terms — — . cc2+10a- + 21 3. Factor n^-2n- + n, .r''-l, x''-n^y\ a-^ + Z. 2 4. Make denominator rational of -■ V5-V2 5. Multiply ViK-2+V^^ by Va; + 2-V-3. n a ^ 5 3a;+l 1 6. Solve ^ = -. x X' 4 r — .T?/ = 153. 7. Solve {^•'-•^•^ = 1' (a; +?/ =1. 8. By the binomial theorem, expand to four terms 2 J Vw—a? 9. Sum the infinite series l-\ 1 h ••• 2 4 1882. 1 . Factor a'' — 4 a- 6 + 4 aZ>-, 4 x* y* — Ox^ y". 2. Solve ar = 21 + ^x- — 9. ALGEBRA. » 3. Find the continued product of a--(2 + Va)^ x-{2-VS)^ a;-(3-V-l), a;-(3 + V-l). 4. Divide 50 into two parts, such that the greater, in- creased by 3, shall be to the less, diminished by 3, as 3 to 2. 5. Given J ^ + ^ ~" ^ t; fjuti x and y. i 2 xy = 24 ) G. Sum the infinite series 1, ^, ^, ••• 5 ^. J 9 7. Resolve into i^artial fractions. a;--8a;+l5 8. Expand by the binomial theorem, to 3 terms, - ->/i(f— a'^. 9 . Revert the series y = x-\-or + x^-{- a;*. 1883. 1. Reduce the following expression to its simplest form : 1 +,, L_^+ 1 x{x — a){x — b) a{a — x){a — b) b{b—x){b — a) 2. Resolve y^ — b^ into three factors. 3. Change a:?/~-— 2a;^?/~^2~j + 2"^ to an expression which will contain no negative exponents. , r~ a + b + c + d a — b A- c— d , . , 4. If ^ ^ — ^!-— = — , prove by the prmci- a-\-b — c — d a — b — c-\-d a c ciples of proportion that r = -• 5. Find the value of 2aVl + ^^ when 6. Given (7 - 4 V3) x^ + (2 - V3) a; = 2, to find x. 10 ALGEBRA. 7. The sum of two numbers is IG, aud the sum of their reciprocals is |-. What are the numbers ? 8. Compute the value of the continued fraction, 1 2+-' 1+-1 ^4 9. Convert — =:=rzr into an infinite series by the Method Vl + a-2 of Indeterminate Coefficients, or by the Binomial Theorem. 10. Insert three geometrical means between ^ and 128. GEuM::Tr.Y. 1878. 13 (Euclid.) 1. If a strfiight line falling on two other straight lines, make the exterior angle equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel to one another. 2. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles ec^ual to a given rectilineal angle. 3. If a straight line he divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the scjuare on the other part. (Legendrk.) 1. If two sides of a (quadrilateral are equal and parallel, the figure is a parallelogram. 2. («) To erect a perpendicular to a given straight line, at a given point of that line. (b) At a point on a given straight line, to construct an angle equal to a given angle. 3. In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares of the base and the other side, diminished b^- twice the rectangle of the base and the distance from the vertex of the acute angle to the foot of the perpendicular drawn from the vertex of the opposite angle to the base, or to the base produced. (LOOMIS.) 1. If two triangles have two sides of the one equal to two sides of the other, eacli to each, but the included angles unequal, the; base oi (lint which h:is the greater angle will 1)0 greater than tlie base of the other. 14 GEOMETUY. 2. Through any three points not in the same straight line, one circumference msxy be made to pass, and but one. 3. The rectangle contained by the sum and difference of two lines is equivalent to the difference of the squares of those lines. 1879. [Candidates for examination in Euclid may take questions 2, 3, and 5. Candidates for examination in Loomis may take questions 1, 4, and 5. Candidates for examination in Legendre may take questions 2{b), 3, and 6. Candidates for examination in otlier Geometries may demonstrate as many of the theorems as they can, and do the problem (3) by the methods to which they are accustomed.] 1. The opposite sides and angles of a parallelogram are equal to each other. 2. If a straight line, meeting two other straight lines, (a) Make an exterior angle equal to an interior and oppo- site (or remote) angle on the same side ; or (b) Make the interior angles on the same side together equal to two right angles, the two lines are parallel. 3. To draw a perpendicular to a given straight line, from a given point without that line. 4. Parallelograms which have equal bases and equal alti- tudes are equivalent. 5. If a straight line be divided into any two parts, the square of the whole line is equal (or equivalent) to the squares of the two parts, together with twice the rectangle contained by the parts. 6. The rectangle contained by the sum and difference of two lines is equivalent to the difference of the squares of those lines. 1880. [Candidates wlio offer Euclid may take 1 and 3. Candidates who offer Loomis's Geometry or Davies's Legendre may take 1 and 4. Candidates who offer Chauvenet's Geometry may take 2 and 5. Other candidates may prove theorem 1 or 2, and do one of the problems (3, 4, and 5) by the methods to which they are accustomed.] GEOMETRY. 15 1. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite (or remote) angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 2. If two i)arallel lines are cut by a third straight line, the alternate interior angles are equal. Cor. I. The alternate-exterior angles are also equal to each other. Cor. II. Any one of the eight angles is equal to its corre- sponding angle. Cor. III. The sum of the two interior angles on the same side of the secant line is equal to two right angles. 3. To divide a straight Line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 4. To divide a given line into two parts, sucli that the greater part ma}' be a mean proportional between the whole line and the other part. 5. (a) At a given point in a given circumference, to draw a tangent to the circumference. (b) Through a given point without a given circle, to draw a tangent to the circle. 1881. [Candidates who offer Euclid may take 1, 2, and 3. Candidates who offer any other Geometry may take any four propositions of 3 to 7 inchisive. The Candidate icill please state in ivritinf/ the Geometry ichicJi he offers.'] 1. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 2. If a straight line be bisected, and produced to any point, the square on the whole line thus produced and the square on the part of it produced are together double of the 16 GEOMETRY. square on half the line bisected and of the square on the line made up of the half and the part produced. 3. A given angle BAC is bisected ; if CA is produced to O, and the angle BAG is bisected, prove that the two bisecting lines are at right angles to each other. 4. If two opposite sides of a quadrilateral are equal and parallel, the other two sides are equal and parallel, and the figure is a parallelogram. 5. The rectangle contained by the sum and difference of two lines is equivalent to the difference of the squares of those lines. 6. To construct a square equivalent to a given triangle. 7. The area of a parallelogram is equal to the product of its base and altitude. 1882. [Candidates may take either 1, 2, 3, aud 4, or 1, 2, 3, and 5.] 1 . To draw a straight line at right angles to a given straight line from a given point in the same.' 2. In every triangle, the square on the side subtending an acute angle 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 perpendicular let fall on it from the opposite angle and the acute angle. 3. The opposite sides of a parallelogram are equal to each other. 4. Trisect a right angle. 5. From the extremities of the base of an isosceles triangle straight lines are drawn perpendicular to the sides : show that the angles made bj' these lines with the base are each equal to half the vertical angle. 1 Make and explain the construction as well as prove it. LATIN GRAMMAR. 19 2. Decline avibo, opus, domus, tile. 3. Compare felix, similis, liarvus, primus, vetus. AViitc the ordiual numerals from one to ten. 4. The principal parts of the verbs from which the follow- ing forms are derived : vivite, cedentia, ejiceram, jussits, vestit. 5. Give the imperfect and perfect subjunctive active, and the present and perfect participle of /ero, renio, ixmo. G. Inflect the present indicative and subjunctive of eo, fero, 2^ossuvi. 7. The s3-nopsis of loquor in the third person plural, in- dicative and subjunctive. 8. Give the different waj's of expressing a purpose in Latin. 1878. [In ^v^iting Latin words, mark the quantity of the penult in each.] 1. "Write the genitive singular of frights, virus, nemus, linien; and the nominative singular of salutem, sitim, litore, silicis, vuluera, aethere, sulcis. 2. Give the gender of the same nouns. 3. Write out in full the declension of cdiquis, ingens, exsul, hie. 4. Compare magnus, tristis, malus, nequam, proximus. 5. The principal parts of the verbs from which the follow- ing forms are derived : tenebat, audebat, cernimus, bibet, labatur, haerent. G. Inflect the future indicative active of nosco and debeo, and the present and perfect subjunctive of morior iind2'ossu7n. 7. "Write out in full the conjugation of fei'o in the active voice. 8. "What parts of the verb are formed from the perfect stem ? 20 LATIN GRAMMAR. 1879. [In writing Latin words, mark the quantity of the penult in forms of more than two syllables.] 1. Decline iu full princeps^ major ^ nidlus. What other words are decliued like mdhis ? 2. Give the ablative singular and genitive plural of animal, lex, vir, nox, currus, frigus ; and the genitive singular of caro, mos, ordo, cor, juventus, ctistos. 3. The gender of manus, sermo, pes, compes, fraus. What is the gender of nouns of the third declension ending in Z? in a;? in os? 4. Compare fortis, difficilis, piarvus, miser. Form and compare the corresponding adverbs. 5. The principal parts of the verbs from which the follow- ing forms are derived : peteretur, ulunt, praehent, j)erculsum, abjectum, canit. 6. Inflect in the future indicative and in the present and imperfect subjunctive, cano, tueor, eo. 7. Write the synopsis in the indicative and subjunctive of volo in the first person singular, and loquor iu the second person singular. 8. What classes of verbs take the genitive? 1880. [In writing Latin words, mark the quantity of the penult in forms of more than two syllables.] 1, Decline in full doinus, dens, 2^l"^i duo. 2. The gender of ))nh('s, honor, dies, aetas, ratio. Ablative singular and genitive plural of navis, j^ars, princeps. LATIN GRAMMAR. 21 3. Compare the adverbs prudenter^ foj-titer, acriter, 2^arum. From what adjectives are they derived ? 4. Give the nominative singular in full of quisqiie., cjuis- piam, quisquiti ; give the meaning of each. AVhen is the interrogative quis used, and when qui? 5. The principal parts of nanciscor, pasco^ pario, reor. 6. Write the synopsis of capio in the second person singular indicative and subjunctive active. Give the pres- ent of jeci, cessi, novi. From what two verbs can tentum come ? 7. "Write out in full the present indicative of mala, the im- perative of fero (both voices), the nominative and genitive singular of the present participle of eo. 8. Explain the subjunctives in the following sentences : — (a) Facerem, si juberes. (b) Utinam mortuus essem. (c) Ne quis dixerit. (d) Quis est quin videat. (e) Laudavit quia hoc facerent. (/) Petit, ut iis qui adfuerint credamus. 1881. [lu writing Latin words of more than two syllables, mark the quantity of the penult.] 1. Decline homo, dies, domus. 2. Decline qui, hie. 3. Give the synopsis in the first person singular indicative and subjunctive active of moneo, capio. 4. Give in full the present indicative active of possum, few. 5. Principal parts of volo, do,Jio, nosco, curro. oo LATIN GRAMMAR. 6. What are the different uses of the ablative case? 7. Explain the use of the modes in indirect discourse. 8. What is the stem of a noun? What kinds of stem?- belong to the third declension? 1882 [In writing Latin words of more than one syllable, mark the quantity of the penult.] 1. Give the synopsis in the third person singular indica- tive of habeo, capio. 2. What is the final letter of the stem in each of the four regular conjugations ? 3. Decline a neuter noun of each of the three declensions to which neuters ma}' belong. 4. Give the nominative and genitive singular and the gender of the sulistantives in the following sentences ; the nominative and genitive singular of all genders of the adjec- tives and pronouns ; the principal parts of the verbs and participles. If a noun or verb is defective, or has different meanings in different forms, call attention to the fact : — (rt) Postquam consulatum perfecit, domum rediit. (&) Milites in agrum Gallicum longo itinere duxit. - (c) Miror te haec tulisse. (cZ) Quod potuimus, egimus. 5. Name and illustrate b}' short Latin sentences the uses of the dative case. G. In what ways does the Latin express purpose? 7. Use of the modes and tenses in conditional sentences. 8. Explain the use of the gerundive. LATIN GRAMIVIAR. 23 1883. [In writing Latin words, mark the quantity of the penult in those of more than two syllables.] 1. Decline 2>ars, corpus, doimis. 2. Decline idem, qui. 3. Give the synopsis of the third person singular indica- tive and subjunctive active of a verb of each of the four regular conjugations. 4. What are the tenses in common use of the verbs memini and aio respectively? 5. Under what circumstances can the dative be used to express the agent? When can relative clauses take the subjunctive? In the following sentences tell where each word is made, with its consti'uction or agreement ; give the nominative and genitive singular and gender of each noun ; the nominative and genitive singular in full of each adjective or pronoun ; the comparison of any word whirh is in the couipaiative t_ degree; tlie principal parts of each verb; and the reason for eu^.ph instance of the subjunctive mode. a. Seni,?x ille plus quain voluit perdidit. h. In fines ijt^i'uni mittebantur, nt auxilium ferrent. c. Odi ' f jug jUi vulgus et arceo. d. Non, ,tium^ perfecisset. What m^ Yc\ ^^ meaning would be made by the sub- stitution of \ ^xiii"'^it in the last sentence? By the substi- tution of pei-y yi/ \ S ■ i CAESAB. 24 CABSAR- 1870. 1 Translate (B. O. H- 23) ' ^■^„„^ „d d^trom coiliu Lsav ab deeimae leg.oms^»ho,t; _^^^__^ ^^^^^^^ ^^^^..^ pvofectus, ubi s„os urgon -g»W ^^. .^^^^ ,„ p„„„„„ duodedmae l^i»"'%on>- eohortiu.n omnibas fern centm ^^.^ ^^^^^^^ j^,,,,,,„„ oeciste, in his P™°'* .^^^ribus confeeto, ut jam se s«s- vircmultis g'='vibnsc,ueM.lnenb ^^ _^^_^_^„„„^ 1, tine e non posset •, -Uq"- ^^^^ J^ ,, tela vitave', Uoste. „ovissimis desevto pvoeV » --de ^_^^^ ^^^.^ittere et al ueqne a froute c. »*.<>- ° « ^^^ ,, ,„g„.to vid.t, neq utroqne latere instare , » '^"' ,.. sonto ab nov s- d:ts;:--;:Snu.ossen,, -p- o ^.A Fxnlain the subjunctives. )d 2. (a) Lxpi^" eo-ordiuate conjunti (_;>) Poiut out tlie CO oiu J j^g^ 1877. Translate (B. (?."!• 20)- . , ., . modern fere tempor Publ - ^^,, Aqn.taman, pervenisset, quae V^^'^'^'J^m ex tertia ^'^'g^^"^"^ '^t'" lullne et -ultitudme bom nun ex ^^^.^^ ^^^ ..stimanda, cum ^-^^^^^^^"^ V Ludus Val^^^l"- geren- dma ubl panels auto anms Lucms ^.,.^,,^,,;,,,,, Los Angeies, Ci!, CAESAR. 25 logatus exercitn pulso interfectus csset, atque undo Lucius Manlius proconsul impodimcntis amissis profugissot, non mc'diocreni sibi diligeutiain adliihcndani intcHigobat. Itaquo re fnunentaria provisa, auxiliis equitatuquc coniparato, multis praeterea viris fortibus Tolosa et Narbone, quae sunt civitates Galliae provinoiae linitimae his regiouibus, nomina- tim evocatis, in Sontiatum fines cxercituin iutroduxit. Cujus adventu cognito, Sontiates niagnis copiis coactis equitatuque, quo plmimuui valebant, in itinere agmen nostrum adorti pri- mum equestrc procliuni commiserunt : deinde equitatu sue pulso atque insequentibus nostris, subito pedestres copias, quas in eonvalle in insidiis colloeaverant, ostenderunt. Hi nostros disjeetos adorti proelium reuovaruat. 1878. Translate (B. G. III. 26) : — Crassus equitum praefectos cohortatus ut magnis praeraiis poUicitatiouibusque sues excitarent, quid fieri vellet ostendit. lUi, ut erat imperatum, eductis mi cohortibus, quae prae- sidio castris relictae intritae ab labore eraut, et longiore itinere cii'cumductis ne ex hostium castris conspici possent, omuiuni oculis mentibusque ad pugnam intontis, celeriter ad eas quas diximus munitiones pervenerunt, atque his perrup- tis prius in iiostium castris constitcrunt quani plane ab his videri aut (piid rei gercretur eognosci posset. Turn vero claniore ab ea parte audito nostri rediutogratis viril)us, quod pleruiiKine in spe victoriae accidere consuevit, acrius im})ug- nare coeperuut. Ilostes undique eiroumventi desjicratis onniil)us rebus se per munitiones dejieere et fuga salutem l)etere intenderunt. Quos equitatus apertissimis campis consectatus ex milium i. numero, quae ex Aquitania Canta- brisque convenisse constaljat, vix quarta parte relicta multa uocte se in castra recepit. 26 CAESAK. 1879. 1. Translate (B. G. I. 38) : — Cum triclui viam processisset, nuiitiatnm est ei Ariovis- tiim cum suis omnibus copiis ad oceupanduni Vesontioneni, quod est oppidum maximum Sequanorum, contendere tri- duique viam a suis finibus profecisse. Id ne accideret, magnopere sibi praecavendum Caesar existimabat. Nam- que omnium rerum, quae ad bellum usui erant, summa erat in eo oppido facultas, idque uatura loci sic muniebatur, ut magnam ad ducendum bellum daret facultatem, propterea quod flumeu Dubis ut circino circumductum paeue totuni oppidum cingit ; reliquum spatium, quod est non amplius pedum DC, qua flumen intermittit, mons continet magna altitudine, ita ut radices montis ex utraque parte ripae llu- minis contingant. 2. What kind of a pronoun is sibi? Construction of sibi, pedum, altitudine. AVrite the numeral represented by DC in the form here required. 3. Translate {B. G. IV. 5) : — Est enim hoc Gallicae consuetudinis, uti et viatores etiam invitos consistere cogant et, quod quisque eorum de quaque re audierit aut cognoverit, quaerant, et mereatores in oppi- dis vulgus circumsistat, quibusque ex regionibus veniant quasque ibi res coguoverint, pronuutiare cogant. His rebus atfjue auditionibus permoti de summis saepe rebus consilia ineunt, quorum eos e vestigio iK)enitere necesse est, cum incertis rumoribus serviant, et \)lerique ad voluntatem eoreni ficta respondeant. 4. To what does lioc refer (line 1)? AYhat does q^te in quibusque connect (line 4)? Gender of vulgus. What use of the genitive in consuetudinis, quorum? CAESAR. 27 1880. 1. Translate {B. G. I. 34) : — Quamobi'em pLicuit ei, ut ad Ariovistnm leo;atos mitteret, qui ab eo postularcnt, iiti ali([iieiu locum uiedhuu utrius- que coUoquio diceret : Arlle sese de republica et suuiniis utriusque il'1)us cuiu eo agere. Ei Icgatioui Ariovistus res- poiulit : si (|uid ipsi a Caesare opus esset, sese ad eum veuturuin fuisse ; si quid ille se velit, ilium ad se venire oportere. Praeterea se neque sine exereitu in eas partes C4alUae venire audere, qnas Caesar possideret, neque exer- citum sine magno eommeatu atque molimento in unum locum contrahere posse. Sibi autem mirum videri, quid in sua Gallia, quara bcllo vicisset, aut Caesari aut omniuo populo Romano negotii esset. 2. Who was Ariovistus? To whom does ei refer (line 1)? What was the occasion of this embassy ? Change neque exer- citum sine . . . negotii esset to the oratio recta. 3. Translate {B. G. III. 10) : — Erant hae difficnltates belli gerendi, quas supra ostendi- mus, sed multa Caesarem tamen ad id bellnm incitabant : injuriae retentorum equitum Romanorum, rebellio facta post deditionem, defectio datis obsidibus, tot civitatum conjuratio, imprimis, ne hac parte neglecta reliquae natioues sibi idem licere arbitrarentur. Itaque cum intellegerct omnes fere Gallos novis rebus stndere et ad belhnn mobiliter ecleri- terque excitari, omnes autem homines natm'a libertati studere et condicionem servitutis odisse, priusquam plures civitates conspirarent, partiendum sibi ac latins distribuendum exer- citum putavit. 4. What is the construction of idem? Ui^on \vh;it does cuni intellegeret depend? Why does cum require the sub- junctive here? 28 CAESAR. 1881. 1. Translate {B. G. II. 11) : — Ea re constituta secunda vigilia magno cum strepitn ae tuimiltu castris egressi inillo certo ordinc ueque imperio, ciiiu sibi quisque primuin itineris locum petcrct et domuui perveuire properaret, feoerunt, ut consimilis fugae pro- fectio videretur. Hac re statim Caesar per speculatores cogJiita iusidias veritus, quod, qua de causa discederent, uondum perspexerat, exercitum equitatumque eastris con- tiuuit. Prima luce confirmata re al) exploratoribus onmem equitatum, qui uovissimum agmeu moraretar, praemisit. 2. (a) Describe tlic vigiliae. {h) Explain the subjunctives discederent and moraretur. (c) Give the time, place, and manner of Caesar's death. 3. Trauslate (B. G. IV. 8) : — Ad haec quae visum est Caesar respondit ; sed exitus fiiit oratiouis : •' Sibi nullam cum his amicitiam esse posse, si in Gallia remanereut ; neque verum esse, qui suos fines tueri nou potuorint, alienos occupare ; necpie ullos in Gallia vacare agros, qui dari tantae praesertmi nuiltitudiui sine injuria possint ; sed licere, si velhit, in Ubiorum finibus considere, quorum sint legati apud so et de Suevorum injuriis querantur et a se auxilium petaut : hoc so Ubiis imporaturum." A. (a) Change the words of Caesar to direct discourse. 1882. 1. Translate {B. G. I. 3G) : — Ad liaec Ariovistus respondit: "Jus esse belli, ut. qui vicissent, iis, (juos vieisseiit, (iuomadniodnm velk-nt. im- perareut : item populum Komauum victis non ad alterius priiescriptum, sed ad suum arbitrium imperare consuessc. Si ipse popiilo Romano uoii [jiaescriberet, quemadmodum CAESAR. 29 suo jure uteretur ; non oportcre sese a populo Romano in sue jure inipediri. Aeduos sibi, quouiam belli fortunam tentassent et armis congressi ac superati essent, stipeudi- arios esse factos. !Magnain Caesarem injuriam facero, qui sue adventu vectigalia sibi dcteriora laceret. Aeduiy sc obsides reddituruui non esse, ncquo iis ncquc ooium soeiis injuria bellum illaturuni, si in eo manei-eut, quod conveuisset, stipendiumque quotanuis penderent : si id non fecissent, longe iis fraternum uonien populi Romani abluturuni. Quod sibi Caesar deuuntiaret se Acduorum injurias non ncglecturum ; ncminem socuni sine sua pernieie contendisse. Cum vellet, congrederetur ; intellectnrum. quid invicti Germani, exercitatissimi in armis, qui inter aunos quatuordecim tectum non subissent, virtute possent." 2. Change the speech to direct discourse. 3. Translate {B. G. III. 10) : — Quo proelio bellum Yenetorum totiusquc orae maritimae confectum est. Nam cum onniis juventus, omnes etiam gravioris aetatis, in quibus aliquid consilii aut dignitatis fuit, CO conveuerant ; tum navium quod ubique fucrat, unum in locum coegerant : quibus amissis reliqui neque quo se recipe- rent neque quemadniodum opi)ida defenderent, hal)ebant. Itaque se suaquc omnia Caesari dedidcrunt. In quos eo gravius Caesar vindicandum statuit, quo diligeutius in reli- quum tem[)us a barbaris jus legatorum eonservaretur. Itaque omni senatu necato reliquos sub corona veudidit. 4. How long and by what authority was Ci»sar in com- mand in Gaul? 30 CAESAR. 1883. "Write a brief life of Julius Caesar. Traiiolate any two of the following passages : — 1. Duni haec in conlo(iuio geruutur, Caesari uuntiatum est equites Ariovisti propius tuuiuhun aecedere et ad nostros adequitare, lupides telaque in nostros couieere. Caesar loquendi fineui facit seque ad suos recipit suisque imperavit, ne quod oninino teluui in liostes reicerent. Nam etsi sine ullo periculo legiouis delectae cum equitatu proelium fore videbat, tamen committeudum non putabat, ut pulsis hosti- bus dici posset cos ab se per fidem in couloquio circuuiventos. Posteaquam in vulgus militum elatum est, qua adrogantia iu conloquio Ariovistus usus omni Gallia Romauis interdixisset, impetuuique in nostros eius equites fecissent, eaque res eon- loquium ut diremisset, multo maior alacritas studiumque puguandi mains exercitui iniectum est. — {B. G. I. 4G.) 2. Eodem fere tempore Caesar, etsi prope exacta iam aestas erat, tamen, quod onuii Gallia pacata Morini JNIeuapii- que supereraut, qui iu armis essent neque ad cum umquam legatos de pace misissent, arbitratus id belUnn eeleriter confici posse eo exercitum adduxit ; qui longe alia ratione ac reliqui Galli bellum gcrere cocporunt. Nam quod intel- legebant maximas nationes, quae proelio contendissent, pulsas superatasque esse, continentcsque silvas ac paludes habobant, eo so suaque omnia contulerunt. Ad quarum initium silvarum cum Caesar [)ervenisset castraque munire instituisset neque hostis interim visus esset, dispersis in opere nostris subito ex omnil)us partibus silvae evolaverunt et in nostros iuipotuui fceorunt. Nostri eeleriter arma ceperunt eosque in silvas rei)ulorunt et conpluribus interfoctis longius inpeditioril)us locis secuti paucos ex suis doperdide- runt. — (J3. G. Ill, 28.) 3. Quibus rebus Roniam nuntiatis tantus repente terror CAESAB. 31 invasit, ut, cum Lentulus consul ad aperiendum aerarium venisset ad pecuuiam Poinpeio ex senatusconsulto proferen- dam, protiuus aperto sauctiore aerario ex urbe prot'ugeret. Caesar enim advt'iitare iani iainquc et adesse eius cquites falso nuntiabantur. Hunc JMarcellus coUega et plerique magistratus coiisecuti sunt. Cu. Ponipeius pridie eius diei ex urbe i)rofectus iter ad legiones habebat, quas a Caesare acceptas iu Apulia hibernorum causa disposuerat. Delectus circa urbem iuterniittuntur : nihil citra Capuam tutuin esse omnibus videtur. Capuae primum sese confirmant et coUi- gunt delectunique colonorum, qui lege lulia Capuam deduct! erant, habere instituuut ; gladiatoresque, quos ibi Caesar in ludo habebat, ad forum deductos Lentulus spe libertatis con- firmat atque his equos adtribuit et se sequi iussit ; quos postea mouitus ab suis, quod ea res omnium iudicio repre- hendebatur, circum familias conventus Campaniae custodiae causa distribuit. — {B. C. I. 1-1.) 4. Itaque duabus legionil)US missis in ulteriorem Hispaniam cum Q. Cassio, tribuno plel>is, ipse sexcentis cquitibus magnis itineribus progreditur edietumque praemittit, ad quam diem magistratus principesque onniium civitutum sibi esse praesto Cordubae vellet. Quo edicto tota provineia pervulgato nulla fnit civitas, quin ad id tempus partem sena- tus Cordubam mitteret, non civis Romanus paulo notior, quin ad diem conveniret. Simul ipse Cordubae conventus per se portas Varroni dausit, custodias vigiliasque in turribus muroque disposuit, cohortes duas, quae colon icae appella- bantur, cum eo casu venissent, tuendi oppidi causa apud se retinuit. Isdem diebus Carmonenses, quae est longe firmis- sima totius provinciae civitas, deductis tribus in arcem oppidi cohortibus a Varrone praesidio per se cohortes eiecit portas- que praeclusit. — {B. C. II. 19.) 32 CICERO. CICERO. 1876. 1. Translate {Ck. Cat. II. 4) : — Unum etiam luiuc concedam : exeant, proficiscantur, ne patiantur dosiderio siii Catilinam miseiiiiii tabcseore. De- iiionstrabo iter : Aurelia via profectus est ; si accelerare voleut, ad vesperam consequeutur. O fortunatam rem pub- licam, si quidein banc sentinam bujiis urbis ejocerit ! Uno inc'hercule Catiliiia exhausto, relevata mihi et recreata res })ublica videtiir. 2. (a) Wbat was tbe effect of Cicero's first oration npon Catiline? Location of the via Aurelia. {b) Original meaning of sentina. (c) Give the construction of desiderio, sw^, via, rem jvMlcam. 3. Translate {Cic. Cat. IV. 5) = — At vero C. Caesar intelligit legem Semproniam esse de civibus Romanis coustitutam, qui autem rei publicac sit hostis, eura civem esse uuUo niodo posse ; denique ipsum latorem legis Semproniae injussu populi pocnas rei publicae dependisse. 4. (a) Explain the mood of sit, iwsse. What is the ante- cedent of qui ? (&) Why are civem and latorem in the accusative ? (c) What mode of punishment did Caesar advise? {(I) Who proposed the lex Sempronia referred to here? 5. Translate {Cic. Imp. Pomp. 7) : — Est igitur humanitatis vestrae, magnum coruni civium mimei'uni calaniitate prohibere, sapientiae, videre nuiltorum civium calamitatem a re jniblica scjunctam esse non posse. G. The subject of est. Explain the construction of sajjientiae. CICERO. 33 1877. 1. Translate {Cic. Cat. II. G): — At etiam sunt qui dicant, Qnirites, a me in exsilium ejectum esse Catilinani : quod ego si verbo adsequi possem, istos ipsos cjicerem, qui luiec lo(juuntur. Homo eniui videlicet tiniidus ant etiam permodestus vocem consulis ferre non potuit ; simul atque ire in exsilium jussus est, paruit: Quid? ut hesteruo die, Quirites, cum domi meae paene iuterfectus essem, seua- tum in aedem Jovis Statoris convocavi, rem omnem ad patres couseriptos detuli : quo cum Catiliua vcuisset, quis eum senator appelhivit? 2. (a) Account for the mood and tense of dicant, ejicerem., interfectus essem. Why is the preposition used with me (line 1)? What does hesterno die qualify-? (b) The location of the temple of Jupiter Stator. Why was it selected for this meeting of the senate ? 3. Translate {Cic. Cat. IV. 6): — Eteuim quaero, si quis pater familias, liberis suis a servo interfectis, uxorc occisa, incensa domo, supplicium de servo non quam acerbissimum sumpserit, utrum is clemens ac miser- icors an inhumauissimus et erudelissimus esse videatur? 4. (a) In what case is familias? What does si connect? what utru7n ? (b) Construction of liberis, servo (line 1), clemens. 5. Translate {Cic. Arch. V.) : — Census nostros requiris scilicet : est enim obscurum proxi- mis censoribus hunc cum clarissimo imperatore L. I^ucullo apud exercitum fuisse, supericn-iltus cum eodem qnaestore fuisse in Asia, primis Julio et Crasso nuUam po[)uli [)artem esse censam. 34 CICERO. 6. (a) What uses of the ablative in this passage? With what does obscurum agree ? (&) How often was the census held? What were the duties of a quaestor? 1878. 1. Translate {Cic. Cat. I. 6): — Quod ego praetermitto et facile patior sileri, ne in hac civi- tate tanti facinoris immanitas ant exstitisse aut non vindicata esse videatur. Praetermitto ruinas fortunaruni tuaruni, quas omnes impendere tibi proxiniis Idibus senties : ad ilia venio, quae non ad privatam ignorainiam vitiorum tuorum, non ad domesticam tuam difflcultatera ae turpitudinem, sed ad sum- mam rem publicam atque ad omnium nostrum vitam salutem- que pertinent. 2. (a) Explain the subjunctive videatur. (&) What days of the month were the Kalends, the Nones, and the Ides? How were the da3-s numbered from these three points? Express in Latin October 21st. 3. Translate {Cic. Cat. III. 7) : — Omiiia norat, omnium aditus tenebat ; appellare. temptare, soUicitare, poterat, audebat ; erat ei consilium ad facinus aptum, consilio autem neque raanus neque lingua deerat. Jam ad certas res conficiendas ccrtos homines delectos ac deseriptos habebat ; neque vero, cum alicpiid mandarat, con- f ectum putabat : nihil erat quod non ipse obiret, occurreret, ^^gilaret, laboraret ; frigus, sitim, famem fcrre poterat. 4. (a) Where are the forms norat and pot('r^'ojecerit? Why is it subjunctive? (6) Who was Cicero's colleague in the consulshi[), and how was he affected toward Catiline ? 3. Translate (Cic. Imp. Pomp. 20) : — Etenim talis est vir, ut nulla res tanta sit ac tarn difllcilis, quam ille non et consilio regere et integritate tucri et virtute 36 CICERO. couficere possit. Sed in hoc ipso ab eo vehementissime dis- sentio, quod quo minus certa est hominum ac minus diuturna vita, hoc magis res pubhca, dum per deos inuiiortales hcet, frui debet summi viri vita atque virtute. 4. (a) What kind of a genitive is hominum? What dis- tinction in meaning between talis and tantus ? AVhat does quod connect? Construction of Jioc (line 5), vita (hue G). {h) The object of this oration. Its date. 5. Translate (Cic. Marcell. 7) : — Nam quis est omnium tarn ignarus rerura, tam rudis in re publica, tarn nihil umquam nee dc sua nee de communi salute cogitans, qui non intelligat tua salute contineri suam et ex uuius tua vita peudcre omnium? Equidem de to dies noctesquc, ut debeo, cogitans casus dumtaxat huraanos et incertos eventus valetudinis et naturae communis fragilita- tem extimesco, doleoque, cum res publica immortalis esse debeat, cam in uuius mortalis anima cousistere. 6. Construction of rerum, uuius (line 4), omnium (line 4), dies. Is rudis ever limited by a genitive? Explain the subjunctive intelligat. U[)(>n what does cum . . . debeat de- pend? Wh}' is the subjunctive required? What difference in meaning between timeo and extimesco? 7. Translate (Cic. Mil. 31) : — Valcant, inquit, valeant cives mei ; sint incolumes, sint florentes, sint l)eati; stet haec urbs praeclara mihiquc> pati-ia carissima, quoquo modo erit merita de me ; trauquilla re publica mei cives, quoniam mihi cum illis non licet, sine mc ipsi, sed i)ropter me tameu perfruantur ; ego cedam atque al>ibo : si mihi bona re publica frui non licuerit, at carebo mala, et quam primum tetigero bene moratam et liberam civitatem, in ea conquiescam. CICERO. 37 8. (a) Where is the form licuerit fouud? conqniescam? Give the coustruetiou of inihi (line 2), re publica (line 6), cives (line 4), mala, qitavi. (b) AVhat was Cicero's reason for defending Milo? 1880. [One passage may be omitted.] 1. Translate (In Cat. III. 8) : — Itaque illorum responsit turn et ludi per decern dies facti sunt Jieque res ulla quae ad placaudos deos pertineret prae- termissa est, idenique jusserunt simulacrum Jovis facere ma jus et in excelso collocare et contra atque an tea fuerat ad orientem convertere ; ac se sperare dixerunt, si illud signum, quod videtis, solis ortum et forum curiamque conspiceret, fore ut ea consilia, quae clam essent inita contra salutem urbis atque imperii, illustrareutiir, ut a senatu populoque Romano perspici posseut. 2. (a) "What kind of a genitive is illorum.? Explain the ablative resjMiisis. What is the use of et (line 1)? In what case is idem? To what is it here equivalent? Why is videtis not subjunctive? {b) Indicate the relative positions of the Palatine hill, the CapiLoliue hill, the Forum and the Campus Martins. 3. Translate {Pro Arch. VIII.) : — Quis nostrum tain animo agresti ac duro fuit, ut Roscii morte nuper non commovcretur? Qui cum esset senex mor- tuus, tamen propter excellenttim artem ac venustatem vide- l)atur omnino mori non debuisse. Ergo ille corporis motu tantum amorem sibi conciliarat a nobis omnibus : nos animo- rum iucredibiles motus celeritatemque ingeuiorum ueglege- mus? 38 CICERO. 4. (a) Why not quis nostril "What kind of an ablative is animo? Explain the form conciUarat. {h) AVhy does Cicero introduce the example of "Roscius? Tell what you know about Roscius and his rela- tions to Cicero. 5. Translate {De Imp. Pomp. XII.) : — Sociis ego uostris mare per hos annos clausum fuisse dicam, cum exercitus A-estri uumquam a Brundisio nisi hieme summa transmiserint ? Qui ad vos ab exteris nationil)us veni- rent captos querar, cum legati populi Roraani redempti sint? INIercatoribus tutum mare nou fuisse dicam, cum duodecim secures in praedonum potestatem pervenerint? 6. {a) Upon what does cum . . . transmiserint depend? The antecedent of qui. The meaning of duodecim secures. AVhat are the contrasted words in each sentence? (h) Why wei'e the armies oljliged to cross over from Brundisium in the winter? Wiiere was Brundisium? 7. Translate (Pro. Lig. IV.) : — Hoc egit civis Romanus ante te nemo : externi isti mores, nsque ad sanguinem incitari odio, ant levium Graecorum aut immanium barbarorum. Nam quid agis aliud? Romae ne sit? Ut domo careat? Ne cum optimis fratril)us, ne cum hoc T. Broccho, avunculo, ne cum ejus filio conso])rino suo, ne nobiscum vivat? Ne sit in patria? Num est? Num potest magis carere his omnibus (juam caret? 8. (a) What does the genitive 6'r((r'corM?Ji Innit? Whv /ioc (line .")) and not illo? Wliat answer is expected to the ques- tion Num est? To whom does ejus refi-r? To whom suo? (b) AYho brought tl»e accusation against Ligarius? Where and before whom was the case argued ? How was it decided ? CICERO. 39 1881. [One passage may be omitted.] 1. Translate (Li Cat. III. 10) : — In hoc autcm uno post hominnm memoriam maximo cru- dclissiinoque bello, quale bellum nulla umquam barbaria cum sua geute gessit, quo in bello lex haec fuit a Lentulo, Cati- lina, Cethego, Cassio constituta, ut omnes, qui salva uibe salvi esse possent, in hostium uumero ducerentur, ita nie gessi, Quirites, ut salvi omnes conservaremini, et cum hostes vcstri tantum civium superfuturum putussent, quantum in- finitae caedi restitisset, tantum autem urbis, quantum flamma obire nou potuisset, et urbem et elves integros iucolumesque servavi. 2. (a) Give the principal verbs of this sentence. Upon what does quantum . . . poi(a's.S(?^ depend? What explains the meaning of lex haec? Explain the subjunctives possent, jyutassent. {b) Why did Cicero go into exile ? How long was this after his consulship ? 3. Translate (Pro Marcell. I) : — Diuturni silenti, patres conscripti, quo erara his tempori- bus usus, non timore aliquo, sed partim dolore, partim vere- cundia finem hodiernus dies attulit, idemque initium quae vcllem quaeque sentu'era meo pristino more dicendi : tantam enim mansuetudiuem, tarn inusitatam inauditamque clemen- tiam, tantum in summa potestate rerum omnium modum, tam denique incredibilem sapientiam ac paene divinam tacitus praeterire nullo modo possum. 4. ((f) AVitli wlintdocs /r^'/u .'igrcc? The construction of the antecedent of quae. Why the phiperlVct t.'usc in eram usus ? (b) What moved Cicero to deliver this oration? What was the fate of Marcellus? ^ 40 CICERO. 5. Translate (Pro Arch. III.) : — Hac tauta celebritate famae cum esset jam absentibus notus, Romam venit Mario consulc et Catulo. Nactus est primum cousules eos, quorum alter res ad seribeiKluui maxi- mas, alter cum res gestas tum etiam studium atque aures adhibere posset. Statim LucuUi, cum praetextatus etiam tum Archias esset, eum doinum suam receperunt. 6. Explain full}" the meaning of the sentence, Nactus est . . .posset. AVhy is the subjunctive required? Why a^fer, and not alius ? 7. Translate {Pro Lig. XII.) : — Nihil est tam populare quam bonitas, nulla de virtutibus tuis plurimis nee admirabilior nee gratior misericordia est. Homines enim ad decs nulla re propius accedunt quam salu- tem hominibus dando ; nihil habet ncc fortuna tua majus quam ut possis, nee natura melius quam ut velis servare quam plurimos. Longiorem orationem causa forsitan pos- tulet, tua certe natura breviorem. 8. What determines the gender of miJJa ? With what does melius agree? Why are the two negatives nulla . . . nee not equivalent to an affirmative? 1882. [Any two passages may be omitted.] 1. Translate {Cat. II. G): — At etiam sunt qui dicant, Quirites, a me in exsilium ejec- tum esse Catilinam : quod ego si verbo adsequi possem, istos ipsos ejicerem, qui haec loquuntur. Homo enim videlicet timidus aut etiam permodestus vocera consulis ferre non potuit ; simul atque ire in exsilium jussus est, paruit : quid? Ut hesterno die, Quirites, cum domi meae paene interfectus CICERO, 41 essem, senatiim in nodoin Joais Statoris convocavi, rem oin- nem ad patres conscriptos detuli : quo cum Catilina vcuisset, (juis cum senator adpcllavit? Quis salutavit? Quis deniquc ita aspcxit ut perdituui civem ac nou potius ut iuii)orUuiis- simum liostcm ? 2. Explain the uses of the subjunctive mode in this pas- sage. "What different meanings lias aedes in the singular and plural? Why is the pluperfect tense used in venisset (line 8) ? Could qui be substituted for quis in the expression quis eum senator adpellavit? 3. Translate {Cat. IV. 5): — At vero C. Caesar intelligit legem Scmproniam esse de civibus Romanis constitutam ; qui autem rei publicae sit liostis, eum civem nullo modo esse posse : deuique ii)sum lutorera Semproniae legis jussu populi poenas rei publicae dependisse. Idem ipsum Lentulum, largitorem et prodignm, non putat, cum de pernicie populi Romani, exitio hujus urbis tarn acerbe, tam crudeliter cogitarit, etiam appellari posse popularem. 4. Who is meant by latorem legis Semproniae? Criticise the accuracy of the historical statement in lines 3 and 4. How would Coesar have disposed of the convicted conspirators ? 5. Translate {Arch. S) : — Quod si ipsi haec neque attingere neque sensu nostro gustare possemus, tamen ea mirari deberemus, etiam cum in aliis videremus. Quis nostrum tam auimo agresti ac duro fuit, ut Roscii morte nuper non commoveretur ? Qui cum esset senex mortnus, tamen propter excellentem artem ac venustat(!m videbatur oninino mori non debuisse. Ergo ille corporis motu tan turn amorem sibi conciliarat a nobis omnil)us : nos animonun incredibiles motus celeritatemque ingeniorum negligemus ? 42 CICERO. 6. Why is nostrum used (line 3) in preference to nostri? How can we tell from the form of the dependent sentence whether commoveretur denotes purpose or result? Give the ablative singular of excellentem and incredibiles. 7. Translate (MarceU. G) : — Quare gaiide tuo isto tam excellenti bono, et fruere cum fortuna et gloria turn etiam natura et moribus tuis ; ex quo quidem maximus est fructus jucunditasque sapienti. Cetera cum tua recordabere, etsi persaepe vix'tuti, tamen plerumque felicitati tuae gratulabere : de nobis, quos in re publica tecum simul esse voluisti, quoties cogitabis, toties de maximis tuis beneficiis, toties de incredibili liberalitate, toties de singular! sapientia tua cogitabis. 8. Give construction of bono and fortuna. What is the difference in meaning between ceterus and alius? What kind of a verb is recordabere? Give its participles with their meaning. 0. Translate {Manil. 15): — Jam accepta in Ponto calamitate ex eo proelio, dc quo vos paulo ante iuvitus admouui, cum socii pertimuissent, hostium opes animique crevissent, satis firmum praesidiinn provincia non haberet, amisissetis Asiam, Quirites, nisi ad ipsum dis- crimen ejus temporis divinitus Cn. Pompeium ad eas regiones fortuna populi Romani attulisset. Hujus adventus et Mith- ridatem insolita inflammatum victoria continuit et Tigranem magnis copiis minitantem Asiae retardavit. 10. What would be the imperfect subjunctive of accepta? How would it diller in form from tlie imperfect subjunctive of vciiio? Pompey's full name was Gnaeus Pompeius tStrabo; — what did the Romans call each of these names ? i CICEKO. 43 1883. [Any two passages may be omitted.] 1. (a) Translate (in L. Calilinaia rrniia^ XI.) : — " M. TiiUi, quid agis? tune eum, queni esse hostem cora- peristi, queni ducem belli futurum vides, quem expectnri iniperatoreni in ciistris hostiuni sentis, auctorem sceleris, principeni coniurationis, evocatorem servorum et civium per- ditorum, exire patiere, ut abs te non euiissus ex urbe, sed immissus in uibem esse videatur ? nouue hunc in vincula duci, non ad nioitem rapi, non summo supplicio mactari imperabis ? Quid tandem inipedit te ? Mosne maiorum ? At persaepe etiam privati in hac re publica pernieiosos civis morte nniltarunt. An leges, quae de civium Romauorum supplicio rogatae sunt ? At nunquam in hac urbe ii, qui a re [jublica defecerunt, civium iura tenuerunt. An invidiam posteritatis times? Praeclaram vero populo Romano refers gratiam, qui te, liominem per te coguitum, nulla commen- datione maiorum, tam mature ad summum imperium per omnis honorum gradus extulit, si propter invidiam aut alicuius periculi metum salutem civium tuorum negligis." ip) Give a brief sketch of Cicero's life up to the time of the delivery of this oration. What political offices had he successivel}' held, as suggested by the words |:)er omnis honorum gradus (line IG), what in general were the duties of these offices, and at what age did he reach the consulship, as suggested b^- the words tam mature ad summxim im- Xierium (line IG). 2. (a) Translate (Pro -4rc7im, III.) : — Hac tanta celebritate famae cum essct iam absentibus notus, Komam venit, INIario consule et Catulo. Nactus est primum consules cos, quorum alter res ad scribendum maxi- mas, alter cum res gestas, turn etiam studium atque auris 44 CICERO. adhibere posset. Statim Luculli, cum praetextatus etiam turn Archias esset, eum [in] donuim suam receperimt. Sed etiam hoc non solum ingeui ac literarum, verum etiam naturae atque viitutis, ut doraus, quae huius adolescentiae prima fuerit, eadem esset farailiarissima seuectuti. Erat tempori- bus illis iucundus Q. Metello, illi Numidico, et eius Pio filio : audiebatur a M. Aemilio : vivebat cum Q. Catulo, et patre, et filio. (&) 3farw consiile et Catulo (line 2) — about what time was this? Mes ad scribendum maximas (line 3) — mention some of them. (c) Exi)lain the expression cu7n praetextatus . . . Archias esset (line 6). What does it impl}^ as to the age of Archias at the time when he came to Rome? Why is Quintus Metellus called ille Numidicus (line 10) ? Give the present of nactus est. Explain the subjunctives in the passage. 3. (o) Translate {Pro M. Marcello, VI.) : — Atque huius quidem rei M. Marcollo sum testis. Nostri enim sensus, ut in pace semper, sic tum etiam in bello con- gruebant. Quoties ego eum et quanto cum dolore vidi, cum insolentiam certorum hominum, tum etiam ipsius victoriae ferocitatem extimesccntem ! Quo gratior tua liberalitas, C. Caesar, nobis, qui ilia vidimus, debet esse. Non enim iam causae sunt inter se, sed victoriae comparandae. Vidimus tuam victoriam proeliorum exitu terminatam ; gladium vagina vacuum in urbe non vidimus. Quos amisimus civis, eos Martis vis perculit, non ira victoriae, ut dubitare debeat nemo, quin multos, si fieri posset, C. Caesar ab inferis ex- citarct, quoniam ex eadem acie conservat, quos potest. {h) What part of speech is nostri (line 1), and how is this determined? From what kind of a verb does the sc CICERO. 46 show extimescentem (line 5) to be? What figure of speech in Martis vis (line 10)? Wiiy is quiu (line 11) employed here rather, for exiunple, than quominus ? What does ut connect (line 10), quia (line 11), si (line 11), and quoniam, (line 12) ? Explain the uses of the subjunctive mode in the passage. 4. (a) Translate {Pro Lege Manilia, XXIII.) : — Ora maritima, Quirites, Cn. Pompeinm non solum propter rei militaris gloriam, sed etiam propter aninii continentiam requisivit. Videbat enim praetores locupletari quotaunis pecunia publica, praeter paucos, neque eos quidquam aliud assequi classium nomine, nisi ut dctrimentis accipiendis maiore afflci turpitudiue vidoremur. Nunc qua cupiditate homines in provincias, quibus iacturis, quibus conditionibus proficiscantur, ignorant videlicet isti, qui ad unum deferenda esse omnia non arbitrantur : quasi vero Cn. Pompeium non cum suis virtutibus, tum etiam alienis vitiis magnum esse videamus? Quare nolite dtibitare, quiu huic uui credatis omnia, qui inter tot annos unus inventus sit, quem socii in urbes suas cum exercitu venisse gaudeaut. (&) Explain the uses of subjunctive mode in the passage. What other ways of expressing a prohibition tlian the one employed in nolite dnbitare (line 11)? Wliat other con- structions after verbs of rejoicing than the accusative with the infinitive, as in quem . . . venisse . . . r/aacleant (line 13)? (c) State briefly' the subject of this oration and the circumstances under which it was delivered. 46 VERGIL AND OVID. VERGIL AND OVID. 187G. 1. Translate {Verg. yEn. V. G01-G12) : — Hie primum Fortuna ficlem mutata novavit Dura variis turaiilo rcfenmt soUcrauia ludis Irim de caelo misit Saturn ia Juno Iliacam ad classem, ventosque adspirat euuti, Multa moveus, necdum antiquum saturata dolorem Ilia, viani celeraus per mille coloribus arcura, Nulli visa cito decurrit tramite virgo. Couspicit ingeutem concursum, et litora lustrat, Desertosque videt portus elassemque relictam. 2. (a) Explain the tense of referunt. What does dum connect? Explain the form Trim. Give the nominative singular of eunti. (h) Why was Juno hostile to the Trojans? AYhat ca- lamity did she now bring upon them ? 3. (a) Divide the last two lines into feet, marking the quantity of each syllable. (b) Account for the quantity of the final syllables in variis, tumulo, de, adspirat. (c) When is e final long? Mark the quantity of the vowels in Jiebam, niel. Distinguish between idem and Idem, fugit and fiigit. [() may 1)C siil)stitiiti'(l for oitlier 4 or o.] 4. Translate {Verg. Ed. X. G1-G8) : — Non ilium nostri possunt mutare labores ; Nee si frigoribus mediis Ilebrumque bibamus, Sithoniasque nives liiemis subcanuis aquosae, Nee si, cum moriens alta liber aret in ulino, Aethiopum versemus ovis subsidere Caneri. VERGIL AND OVID. 47 5. Tninslatc ( Very. Gear. I. 383-3.S7) : — Jam varias polagi volucres, et '^f'>^'»i' (line G). Meaning of vir (line 2); why could not homo be used? Derivation of examina (line 8). 3. Divide the first two lines of the preceding passage into feet, marking the quantity of the syllables. Give rule for the quantity of final vowel of mihi; of final S3'llable of gregis. What names does this verse bear, and why are the^' given? What figure of prosody in the second line ? 4. Translate {Verg. ^n. V. 854-861): — Ecce dens ramura Lethaeo rore madentem Vique soporatum Stygia super utraque quassat Tempora, cunctantique natantia luniina solvit. Vix prinios inopina quies laxaverat artnc, : Et superincumbens cum puppis parte revolsa Cnmque gubernaclo liquidas projecit in undas Praecipitem ac socios nequiquam saei)e A'ocantem ; Ipse volans teniies se sustulit ales ad auras. '). Construction of cunctanti (line 3) ; to whom does it refer? What sort of a verb is quassat (line 2) ? VERGIL AND OVID. 50 [Omit any two of the following passages.] G. Translate (Verg. Geor. II. 532^53.s) : — Hauc olim veteres vitam coluere Saliini Hanc Remus et frater, sic fortis Etruria crcvit Scilicet et rerum facta est pulcheniiiia Roma, Septemque una sibi muro circumdedit arces. Ante etiaui sceptrum Dictaei regis, et ante Impia quani caesis gens est epulata juvencis. Aureus hanc A'itam in terris Saturnus agebat. 7. Who is meant b}' Dictaei regis (line 5), and wh}' is he so termed ? To whom were the Georgics addressed ? 8. Transhite ( Verg. JEn. IX. 47-53) : — Turnus, ut ante vohms tardum praecesserat agmen, Viginti lectis equitum comitatus et tu'bi Improvisiis adest ; maculis quem Tliracius albis Portat equus, cristaque tegit galea aurea rubra. Ecquis erit, mecum, juvenes, qui primus in hostem? En, ait. Et jaculum attorquens emittit in aui'as, Principium pugnae, et campo sese ardnus infert. 9. Construction of qui (line 5). Wliat figure have we in tli(* line? 10. Translate {Ovid, Met. IV. 735-743): — Litora cum plausu clamor superasque doorum Implevere domos : gaudent, geuerumque salutant, Auxiliuraque domus servatoremque fatentur Cassiope Cepheusque pater : resoluta catenis Incedit virgo, pretium(|ue et causa laboris. Ipse manus hausta victrices al)luit unda ; Anguiferumcjue caput dura ne laedat luirena, MoUit humum foliis, natasque sub aequore virgas Sternit, et imponit Phorcynidos era Medusae. 11. Give a brief outline of the story here referred to. 60 VERGIL AND OVID. 1883. Prosody. 1. Describe the following verse b}- giving its full metrical name : — Qaippe etiam festis qaaedain exercere tliebus. Divide it into feet, marking the quantity of each syllable and the place of the cajsura. What figure of prosody does this verse illustrate? Show wherein. Mark the quantit}- of the final syllables in possis, audi, bonus, dummodo, bos, illuc. 2. Translate {JEn. VI. 56-G5) : — "Phoebe, graves Trojae semper miserate labores, " Dardana qui Paridis direxti tela mauusque *' Corpus in Aeacidae, magnas obeuntia terras " Tot raaria intravi duce te, penitusque repostas "Massylum gentes praetentaque Syrtibus arva ; "Jam tandem Italiae fugientis prendimus oras: " Hac Trojana tenus fuerit foituua secuta ! " Vos quoque Pergam^'ae jam fas est parcere genti, " Dique deaeque omnes, quibus obstitit Ilium et ingens " Gloria Dardaniae. Explain the reference in the second verse. AVliat were the Syrtes? How had iEneas made this voyage "rfwce ^e"? 3. Translate {Ed. VI. G4-73) : — Tum canit, errantem Perinessi ad flumina Galium Aonas in monies ut duxerit una sororuni, Utque viro Phoebi chorus adsurrexerit oranis ; Ut Linus haec illi. divino caruiiiie pastor, Floril)us atque apio crines ornatus amaro Dixorit: "• IIos tibi dant calamos, en accipe, musae, Ascraeo quos ante seni ; quil)us ille solebat VERGIL AND OVID. Gl Cantando ilgidas deducere niontibus ornos, His tibi Gryuei nenioris dieatur origo, Ne quis sit luciis, quo se plus jaetet Apollo." How is Aonas declined ? Who is meant by Ascraeo seni ? The construction of crines. [Omit auy two of the following passages.] 4. Translate {^n. VII. 523-530) : — Direxere acies. Nou jam certamine agresti Stlpitibus duris agitur sudibusve praeustis ; Sed ferro ancipitl decernunt, atraque late Horreseit strictis seges ensibus, aoraque fulgent Sole lacessita et luccm sub nu])ila jactant : Fluctus uti primo coepit quum albescere ponto, PauUatim sese toUit mare et altius undas Erigit, iiide imo consurgit ad aethera fundo. What had Alecto done to bring on this conflict between the Trojans and the Latins ? 5. Translate {Geor. II. G1-G8) : — Scilicet omnibus est la])or impendendus, et omnes Cogendae in sulcum ac multa mercede domaudae. Sed truncis olcae melius, propagine vites Respondent, solido Paphiae de robore myrtus ; Plautis et durae coryli nascuntur et ingens Fraxinus Herculeaeque arbos umbrosa coronae Chaoniique patris glandes ; etiam ardua palma Nascitur et casus abies visura marinos. At whose request did Vergil write the Georgics? The main subject of Book II. 6. Translate (Met. I. 244-252) : — Dicta Jovis pars voce probant stiinulosque frementi Adiciunt, alii partes assensibus implent. 62 VERGIL AND OVID. Est tameii liumani generis jacturu dolori Omnibus, et, quae sit terrae moitalibus orbae Forma lutuia, rogaut ; quis sit laturus in aras Tuva? ferisne paret populandas tradere terras? Talia quaerentes, sibi enim fore cetera curae, Rex superum trepidare vetat, sul)olemque priori Dissimilem populo promittit origine mira. Explain the meaning of the first two verses. How, according to this myth, was the earth repeopled? LATIN AT SIGHT. <>3 LATIN AT SIGHT. 1881. M. Atiliiis Regiilus, cum consul ilonim in Africa, ex insidiis en plus essct, cluce Xtuithippo Luccdiiemonio, iniperatore auteni ptitre Ilannibalis Ilaniileare, juratus missus est tul senatum, ut, nisi redditi essent Poenis captivi nol)iles quidam, rediret ipse Kartliaginem. Is cum Romam venisset, utilitatis speciem videbat, sed eam, ut res deelarat, falsam judicavit : quae erat talis : manere in patria, esse dorai suae cum uxore, cum libevis ; quam calamitatem accepisset in bello, com- numem fortuuae bellicae judicantem, tenere cousularis digni- tatis gradimi. Itaque quid fecit? In senatum venit, mandata exposnit: senteutiani ne diceret, recusavit ; " quara diu jure juraudo hostium teueretur, non esse se seuatorem." 1882. Ilia praeclara, in quil)us pulilicae utilitatis species prae lionestate contemnitur. Plena exemplorum est nostra res publica, cum saepe, tum maxime bello Punico secundo : quae, Cannensi calamitate accepta, majores animos liabuit, quam unquam rebus secundis. Nulla timoris signidcatio, nulla mentio pacis. Themistocles post victoriam ejus belli, quod cum Persis fuit, dixit in contione, se habere consilium rei publicae salutare, sed id sciri non opus esse. Postulavit, ut aliquem populus daret, quicum communicaret. Datus est Aristides. Iluic ille, classem Lacedaemoniorum, quae sub- ducta esset ad Gytlieura, clam iucendi posse : quo facto iVangi Lacedaemoniorum opes necesse esset. Quod Aristides cum audisset, in contionem magna expectatione venit, dixit- quc, perutile esse consilium, quod Themistocles afferret, sed niinime honestum. Itaque Athenienses, quod honcstum non esset, id ne utile quidem putaverunt : totamque eam rem, quam ne audierant quidem, auctore Aristide repudiaverunt. 64 LATIN AT SIGHT. 1883. Haec interposui, patres conscripti, non tarn ut pro me dieereni, quam ut quosdam nimis ieiuiio aniino et augusto monerem, id quod semper ipse fecissem, uti excelleutiuui civium virtutem iiuitatione diguaui, uou iuvidia putareut. utinara quidera illi priucipes viverent, qui me post meum coiisulatum, cum eis ipse cederem, priueipem non inviti videbant ! hoc vero tempore in tanta inopia constantium et fortium consularium quo me dolore adfici crcditis, cum alios male sentire, alios nihil omnino curare videam, alios parum constanter in suscepta causa permanere sententiamque suam non semper utilitate rei publicae, sed turn spe turn timore moderari? quod si quis de contentioue principatus laborat, quae nulla esse debet, stultissime facit, si vitiis cum virtute contendit ; ut enim cursu cursus, sic in viris fortibus virtus virtute superatur. tu, si ego de re publica optime sentiam, ut me vincas, ipse pessime senties? aut, si ad me bonorum concursum fieri videbis, ad te improbos invitabis? nollem, prinium rei publicae causa, deiude etiam dignitatis tuac. sed si principatus agcrotur, quom numquam expctivi, quid tandem mihi esset optatius? ego enim malis sententiis vluci non possum, bonis forsitan possim et libenter. IIOMAN HISTORY. 67 ROMAN HISTORY. 1881. 1. Explain the origiu mid nature of the Tribuneship. 2. Gi^e the cause, duration, and results of the struggle between Rome and Carthage. 3. Give the place and manner of death of each member of the first Triumvirate. 4. Mention any three writers of the Augustan age. 1882. 1. Give an account of the capture of Rome by the Gauls. 2. Explain how Rome obtained and governed her first province. 3. Sketch the life and character of Caius Gracchus. 4. By what steps did Augustus become emperor? Mention peculiarities of his reign. 5. Who succeeded Augustus in the first century? 1883. 1. What evils did the Gracchi attempt to reform ? What was the difference between the plans of T. Gracchus and C. Gracchus ? Why did they fail ? 2. What were the limits of the Roman Empire at the death of Augustus ? 68 ROMAN HISTORY. 3. Where were Adium, Metaurus^ Zama, Pharsalia^ Cynoscejihalae? "What happened tit those places, and when? 4. ExpUiiu Tribuiius, Provincia, Censor, Decemvh; Dictator. 5. Name in order of time the foreign enemies that Rome fought on Italian soil. GREEK GRAMMAR AND COMPOSITION. 71 4. Translate into Greek : — (a) ^ye shall Ixvsioge the city both by land and 133- sea. (&) He did not do harm' to others, because he leared that he might suller harm^ himself. {<') Tlie hopliles will march against the king, if he encamp in the plain. (d) He said that Cyrns would have given him ten talents, if he had arrived before the battle. (e) He used-to-praise whomever he saw bravely attack- ing^ the enem}'. ' KaKuJr. ' eiriTidffj.at. 1880. [All Greek words to be written with accents.] 1 . Decline 7roAi;s in all genders and numbers ; also vl6<; and TTo'Ats throughout. 2. Give the first person singular indicative of the future active and aorist passive of ^aiVw, <^tAeoj, d/covo), Trpda-o-o). *^ 3. Analyze \v6i](T€ou^ 7r\ou(Tiovv, 4. Trauslate {Xen. An. IV. 5, 12 f.) : — €(f)€C7ropTO Be TMv irdXepiLOiv avveLXey/xevoi Tivev\dTT€(T6ai, dWd cr^oA,?) y y/xlv to kuto. tovtov eivat Tovi, irapa top ^daiv 7rora/j,oi>, evpoao-is? Is Xeno- phon right in naming it here? 5. Translate {Hdt. VI. 107) : — Kac 01 Tavra hteirovTC iirrjXOe Trrapelv re Kal ^yj^ac /xe^ovcii'i 7] ft)? idiOee, ola 8e Trpea/Svrepw iovrt tmv oSovtcov 01 7rXevve<; iaecovTO. tovtwv (bv eva tmv oSovtwv eK^dX- Xet uTTo ^ir)(; /8/y^a? • iKireaovro'i Be e? ti]v 'xjrd/ji/jiov avrov, iiroLeero TroXXrjv aTrouhrjv e^evpelv co? he ovk ecfiaivero 01 6Bu>v, dvacTTevd^a^ eivre 7rpoi kuI '\jre\ta irepl raljpia uttou av irpMTov ei9 (f>iXiav ■^oopav acfiCKcofieda, avveTreu^acrOai 8e Koi roir), dvaTeivdroi ti'jv "^elpa. koX dvereivav dwavTe^. eK TOVTOV ev^avro koi eirauivLaav. Reason for the subjuuctive iu de^iKw/xe^a. Coiistructiou of yip.wv. Coustructiou of the antecedent of oro). 4. Translate {Xen. J.?i. IV. 4, 15) : — ivrevdev eirep-^^av vvkto*; Arip,oKpdTr]v Tep.evirrjv avSpaf 8ovTe<; eVl ra oprj, ev6a €^aaav ol inrocrKeSavvvpevot Kadopdv ra irvpa • ovto<; jap iSoKCi Kal irporepov iroWd r'jBrj dXrjOevaai roiavra, ra ovra re &)9 ovra Kal rd p.r} ovra 0)9 ovK ovra. rropeuOel^ 8e rd p,ev rrvpd ovk ecf)i] Ihetv, dvhpa he crvWa/Swv -))Kev dywv e-^ovra ro^ov ITep- aiKOv Kal ap€rpav Kal adyapiv, olavirep at Apa^ove'i e')(^ovcnv. epa>ru>p,evo iKerecav rparrop.evo'i roiv htcoKovrcov Kal dWai, piri-^avai elaiv ev eKdaroi^ rol^ Kivhvvot^ ware hia(f)evyeLV Odvarov, eav riv. 1879. [Ally two of these passages, with their questions, may be omitted.] 1. Translate {Xen. An. I. 6, 8) : — Tt ovv, €(j)Tj 6 KOpo?, dSiKr}deljv TToXiv TToXiopKwv Wcpawv jSaaikev^ ouk ehvvaro ovre '^6v(p eXecv ovre /3ia ' Zev<; S' €/jL/3povT)]Tovi ttolgI rovq evoLKOvvTa] TTpoirai tmv veojv Mp/xeov TT/ao? yf), dXXac S' iir CKeivrjai ev dyKvpecov • are yap tov alyiaXov e6vT0j<; OaXdcrar]^ ^ecrdarj'i, tVe'vrecre c -^ecpbdiv re p,eya^ Kal ttoXXo^ dvefjLos aTrijXiuiTt)^, rov 84 GREEK PROSE. Bt] '^Wtjctttovtltjv KoXeouai o'l irepl ravra ra "x^copLa olkt}- fiei'oi. 6a oi jjbev vvv avrcov ali^ofievov c/xaOov rov avefjiov, Koi Tolat ouro) ei^e op/J-ov, ol 8' e(})drjaav rov ^^ei/mMva dvaa7rdcravTeiyyeWoi' ravra ' ol he arpariwraL e^aXerraivov TOi? (Trpanjyoi'i, Kal ecpaaap avrov^ irdXai ravr elSura^; Kpvrrreiv, Kal ovk. ecpaaav livai iav fi/j rt? aurol^ ■^pij/jiara BcSq}, coarrep Kal rot's 7rporepoL<; fxera }s.upov upa/3daL irapa TOP rrarepa rev Y^vpov, Kal ravra ovk eirl jjid-^rjv lovroiv aXXa KaXovvro<; rov irarpo^; Js^vpov. What would be tlie forms used in direct discourse for ccroiro and leVat? What would be the usual indirect form for iav . . . StSiJ ? Construction and subject of Iovtwv. 2. Translate {Xen. xin. II. 4, G) : — 7rorafjid], dp fid^ecrdai y€ Ber], iTT'Trel'i elatp i)fM,p ^vfi/jia'^oL, rwp he iroXejJiiwp 'nnr€267rofji£V(oiJ i)fxh' kXcottcou ekafShv riva^ evehpevaav- Te9 ■ Kol Tovrcov TrvuOdvo/j.ai, on ovk a/3aruv iart to 6po<;, (iXXa vefieTai al^i kol jSovalv • wcrre, edvirep dira^ \dj3o)- fiev Ti Tov opoui;, /3aTa Kal toI<; VTro^vyioa eaTat. i\7ri^jaov. dirocfivyoov Be Kal tovtou<;, aTpaT^jyo^i ovtco W.6r]vaL0)v aTreBix^V' citped€l<; utto tov B/jfxov. 90 GREEK PliOSE. Make a list of the Tonic forms in this passage, adding in each case the Attic form, witli accents, ^yhel•e was Imbros? Coustniction of ewuroD ; of TupavylSo';. 1882. 1. Translate (Xen. An. I. 3, 20) : — eSo^e ravra, koI dvSpa^ kXojxevoi ctvv KXedp'^^ro irefi- iTovcnv, o'i rjpcoTcov K-vpov to, ho^avra rjj crrparLd. 6 S' uTreKpLvaro, on ukovol A^poKOfiav, e')(^dpov avBpa, eirl r&J KvcjipciTrj TTora/jiM elvai, airi'y^ovTa ScoScKa Gra6p,ov<; ' 7rpo<; TOVTOV ovv e(jiri ^ovXeaOat eXOelv • kuv fiev y eKel, TTjv SiKTjv €(f)r] '^prj^eiv einOelvaL aurS, i)v Se (pevyrj, rjfj,€i<; eKel 7rpo<; ravra ^ovXevcrofieda. aKovaavre<^ he ravra ol aiperol aTrayyiWovai rolvXaKt'jv, &)? Btavoelrai avrijv XvcraL 'Tiaaa^eppri's rPj<; vuKrwi, eav Bvvrjrai, cti<; p,i] Bia/3P]re dXX ev pLepvyyo, oi [xev viraiTrrevov cf)t,\ta<; eveKa rrj<; }s.opv\a \eyeiv • Kal yap rjv 7rpo^evo'Trel? elTrev 6 'S.drvpo'i on olfiu>^oiro el fMt) cncoTTTjaeiev, ein'jpero • W.v Be ctkottm ovk dpa, ecfirj, olfMoo- ^o/xai ; Kal eirei ye dirodvi'^aKeLv dvay Ka^o p,evo^ ro Kcovecov eTTie, ro Xenro/nevov ecfiaaav drroKorra^icravra elirelv avrov ' K.pLria rovr earo) ray KaXtp. Kat, rovro fiev OVK dyvoo), on ravra drroc^deypara ovk d^icXoya • GREEK im;ose. 93 €Kelvo Se Kplvoi rov dvSpo^ dyaarop, to tov Oavdrov jrape- (TTrfKOTO^ f^'/Te TO (ppovLfiov fH/T€ TO 7rai.yi'io)8e<; cnrokLTrelv Construction of tov aiSpo?. Cluiugo the sentence or: . . . o-to)7r>/(rti£!' into the form of oratio redd. Present of eVfypsro. Tense of eiru. Who was this man, and wliat was Iiis history? 7. Transhite {Ildf. VII. 144) : — eTeprj re ^efJuaTOKXei yvoiiJbri efiTrpoaOe TavT7]<; i<; Kacpov rjpiaTevcre, OTe, KOrjvaiOicTL yevopbevwv yjprniaTwv jxeydXcov iv T(p KOiv(p, Ta CK TMv fxeTaWcov a(f)i irpocrrjXde twv diro Aavpeiov, efieWov Xd^eadai op-^r/Sov eKacrTOf; SeKa ^paX' fid<;. TOTe (de/HLCTTOKXeT}'; dveyvcocre ^AdrjvaLovi;, t?}? Siat- peaco'j(^Oriaav, eV hdov Se ovTco Tj] EXXaSt eyevovTO. avTai re S/) al vee^; Totac ^AOr]vaLoi(TC TTpoiroirjOelaai virrjpxpv, €Tepai 94 GREEK PKOSE. Trapjjvet Oappvvwv TOidSe • 'O avSp€<; ^'EXXi/i/e?, ovk dvdpcoTTCOi' aTToptov ^ap^dpcov avfi[Jid')(ov}<> e\ev6epiaoovv, irplv l>iLKap)^o<; 'A/^/ca? rJKe (fyevycov TeTpcofjiivo'; el. vcradfievoi heirdecfaiv eK'x^eov, ?}S' ev'^ovTO 6eol<^ aleiyeperrjcnv • (w8e 8e TLpa reXecrao). el S' aye tol K€(j>aXfj Karavevcrofiat,, oc^pa 7re7roi6r)aXfj Karaveuao). r), Kal KvaveycTiv eV 6(f)pvcrc vevae K.povi(ov. Make a list of tlie Homeric forms in these lines, adding, in each case, the corresponding Attic form. Point out tlie case of tmesis. Who is K/aovtW, and what other form of the name occurs? 100 HOMER. 2. Tnuishito {II. IT. 31)4-401) : — oi^ e(f>aT , Apyeloi 8e ixey iay(Ov, &)? ore Kvfia LiKTfi e(f> v\lr}]\f], ore kivijctij Noto? eXOcov, Trpo^XfJTi cTKOTreXfp ' rov 8' ov nrore KVfiara Xeiirei, iravTolwv dvefxcov, or av evd^ t) evOa 6ev. Point out and explain the instance of §£ in the apodosis. Wlio are meant b}' u/ac^oj (line 4) ? Give the Attic forms for bparo (line 6) and cfidavOev (line 8). What is the construc- tion of k6/j.ij<; (line 5) ? 2. Translate (11. II. 211-219) : — aXXot fiev p k^ovro, eprjrvOev Be Kad^ eBpao^o<; erjv Ke(^aXr]v, y^reBvy) S' eirevrjVoOe Xd'^vr}. Mark on the writing-paper the quantities of the syllables in lines 5-7, giving the reason for the variation in oL Explain the form o-woxwKore (line 8). Why the accusa- tive and not the dative after vir6 (line 6) ? 3. Translate (IL III. 182-190) : — " 60 fidfcap ^ArpecBr), puoip'q'yeve';, oX^ioBacfiov, Tj pd vv Tot, TToXXol BeBiiy]aro Kovpot ^A'^acrov. i]Br) Kol ^pvyirjv ela/jXvOov dfiveXoecrcrav, ev6a 'lBov 7rX€iaTouepa;, Xaov*i 'Orpfjo^ koI ^Iv'yBovo^ dvTideoco ' 102 HOMER. Kal yap iycbv €7rLKovpo nfXrj^ev ' 6 8' IhydiOrj, OaXepov Se oi eKcfiuye hdKpv, a-fjLco8i^ S' aifiaroeacra fxera^pevov e^vwaveaTrj crKijiTTpov vTTO '^vcTeou. 6 8' dp' e^ero rdp/Sijaev re, d\yi']cra]p 7reipi]aac, iva yvoowcn Koi o'lZe' alyjrd rot alfia KcXatvov epcoijcrec irepl Soupt." Make a list of the Homeric forms in this passage, giving in each case the corresponding Attic word, with accents. Where is -Tretprja-ai. found, and what in the form itself shows it? Give the present of un-fi'^o/xat, Treta-etr^at, ciffyeXecrOe. 2. Translate (//. II. 188-197) : — ovTLva [lev jSaatKrja koi e^o^ov dvhpa Ki-^eir], Tov S' dyavot^; eireecrcTLv epi^TVcraaKe irapaard^ • " Baifiovi', ou ere eotKe kukov eo? heihLaaecrdat, aW' auTO^ T€ Kd07](TO /cal dWovi 'iSpve \aov<;. ov ydp TTCt) ad(pa olad oloi; iwo<; ^ATpeio)vo " AptjO'i, OvKoXeyoiv re kol WvTi'jvoip, ireTTWixevco dp.jpal B>} TToXefioto ireiravp^evot, aX)C dyoprjTal iaOXoi, T€TTLyecraiv €oik6t€<;, oire kuO' v\7)v SevSpew i€^o/jL€vot oira Xeiptoeaaav ielcnv ' ToloL apa Tpoicov yy/jrope^ yvr iirl irvpyw. Point out the irregularity^ of S3'ntax in the third line. Give the Attic form for TeTrtyeo-o-ti'. What is the first foot of the seventh line? What two forms of the same word in this passage ? 1882. 1. Translate {II. I. 362-5, 393-9) : — " reKvov, Ti K\aieLrj TroSa? o)KuTa<; 'A^atou? Tev^ea koX' uTrodecrOai, eirl ■^dovl TrovXv^oTeipr), avTov 8' iv /xecrcTfp koI uprjtcfitXov yieviXaop OiOV<; dfjicj) EiXevT] Koi KTiip.acn irdcri ixd^^ecrOai. oinrorepo^; he k6 vtKt'icrr] Kpe^'cracou re yLn-jrai, KT)]/jiad^ eXcov ev irdvTa yvvai/cd re ol/caB^ dyeado) • ol 6' dXXoL (piXoTrjra koX opKia iricnd rdfioiixev.'^ Where found and IVoui what verb are kIkXvtc (line 1), opwpev (line 2)? On what does paxt-o-Qai (line G) depend? What is the origin of the metaphor in rdpfofxev (line 9)? IIOfER. 107 [The following may be substituted for either of the preceding passages.] 4. Translate {11. VI. 28G-296) : — ft)? e(/)a^', rj Be /jioXovaa ttotI fiiyap' dficfiiTroXoicriv KeKkero • ral S' ap' auWiaaav Kara liaru yepaid> diiXafiov Kare^ijaeTO Krjoyevra, ev0^ eaav ol TreTrXoi 7ra/X7roiKi\ot, epya yvvaiKcov ^iSovlcov, Ta? avTo^ ' A\e^av8po<; OeoetSij^i ijyaye ^ihovirjOev, eViTrXo)? eupea ttovtov, TYjv oBov i)v 'E\€V7]v irep dvt'iyayev euTrarepetav. TMv ev decpa/xivrj 'Kku/Stj ^epe Bcopov ^A6>'jvt), 09 KaXXtaTO<; erjv TroiKLX/Macriv '^Be fieytaro^i darrjp 8' ft)? dTreXapbirev ' eKecro Be v6iaT0<; aWcov. /3)'] 8' levai, TToWal Be fieTecrcrevovro yepaial. Explain the peculiarity of form in KareyS/yrrtTo (line 3). Construction of t)jv 6SoV (line 7), oAAwi/ (line 10). Point out the Homeric forms, giving the corresponding Attic forms, in the first five lines. How does the mention of Sidon seem to bear on the date of the i)oem? 1883. 1. Translate (//. I. 320-330) : — aW 6 ye 'Ya\9vj3i6v re Kal l^vpv^drrjv irpoaiei'Trev, TO) 01 kaav KijpvKC Kal orprjpoD Oepdrrovre • " epj(^e(T9ov k\l(ti7}v UTjXijidBeco 'A^^t^T/o? • •^eipo^ eXovr dyepiev ^pLo-rjiBa KaWiTrdprjov, 5 €0 Be K€ /XT} B(or]aiv, eyci) Be Kev avro^ eXcofiai iXdcov avv rrXeovecrcn • ro ol Kal plyiov earai." 0)9 ecTTcou irpotei, Kparepov 8' eirl fivdov ereXXev. TO) 8' deKOvre ^drriv rrapd Qlv dX6'jOj](Teu 'A^^iXXeu?. INIake a list of the Ibrins peculiar to the Homeric dialect in this passage, adding in each case the Attic i)rose form. What different uses of tw are seen in lines 2 and S? Con- struction of x^'P°5 C"^)* Use of the mode in dye/Acv (4) and cAw/xat (5). Explain the use of 8e after iyw in 5. 2. Translate {11. 11. 455-8, 46U-73) : — yvre irvp aihrjXov i7rL(f)\iy€i acnreTov vkrjv oupeo<; ev Kopv(}>fji;, eKaOev Be re (fiaiverat avyj], 609 T(ov ep)(^o/j,ev(Oi> cltto '^oKkov Oecnreaioio OLyXr} 7rap,(j)av6(oaa 8t' aWepo^ ovpavov tK€v. 5 '^vre ixvidcov dSivdcov eOvea iroKkd, aire Kara araOfMov ttoi/jLvijlop yXdcrKouaiv wprj ev elapivf/, ure re yXdyo 'laravro, Biappataat fie/j.a(oT€<{. Mark on your writing-paper the metrical feet of 7 and 8, giving the rule in every case of variation from natural quan- tity. Construction of rdv (3), ovpavov (4). "Wliat Latin words show the same stem with v\r]v (1), dapivy (7), yXuyos (7) ? What words contain the point of com[)arison in 5-9? 3. Translate (//. 111. 128-3(;) : — " rj\vde](Ta<; 6 Ticraac^epvTjti eiri Tip Kara- ^dvTi cTTpaTeufiari irapd /SaaiXew'i Trpoeiirev AyrjaiXao) TToXe/jbov, el fx)] aTrloi ck t/}? 'Acrf'a9, ol fMev dXXoc aufXfMa- GREEK AT SIGHT. Ill ^ot Kal AaKeBat/xovioov oi 7rap6pT€<; fiaXa n-^deaOevT^^ ^ (pavepol i'yevovTO, 'A^/^ai'Xao? 8e fiaXa (patZpM tm Trpocrco- TTOt) (iTrayyelXai Ti(Ti 6eou)ar of gold jdcm long, 21'='" wide, and 2'"" thick, assuming the bar to be 19 times as heavy as its owu volume of pure water at its maximum density. September, 1881. 1. Find the least common multiple of 1011, 1685, and 2359. 2. A man bought 16 horses and 19 cows for $1855. He paid upon the average -^-^ as much for a cow as he did for a horse. What was the average price he paid per head for the horses? 3. Divide 0.006102 b}- 2.034, and explain the position of the decimal point. 4. Reduce 18,216 ft. to miles and decimals of a mile. 5. A compan}-, w'hose capital is $275,000, has $15,125 from its earnings to divide. What per cent dividend can it declare upon the basis of this sum? 6. If a block of granite 8 ft. long, 2 ft. wide, and 1 ft. 6 in. thick, weigh 920 lbs., hoAV nuich will a block of the same kind of granite weigh which is 12 ft. long, 3 ft. wide, and 2 ft. thick ? 7. Exti'act the cube root of 1.025 to three jihices of deci- mal. 122 ARITHMETIC. 8. (a) In 2.15'*"" how man}' cubic millimeters? Reduce approximately (6) GOO""" to miles, and (c) 50^ to grains. June, 1882. 1. Find the greatest common divisor of 17,640 and 1(S,37.'). 2. Find the least common multiple of the foregoing num- bers. 3. Give the table of troj- weights ; also the table of metric weights. Express the gram in grains, and the kilogram in pounds avoirdupois. 321 4. Express ^^ decimally to three places. 5. Of an alloy containing 21 i)arts copper and 4 parts nickel, what per cent is copper and what per cent nickel? 6. For what amount must a note, pa^'able in GO days, be given to a bank discounting at 6 per cent to obtain $500? 7. If 16 men build 18 rds. of wall in 12 dj^s., how many men will be needed to build 72 rds. in 8 dys. ? 8. Extract the square root of .001601 to four places. September, 1882. 1. (a) Which of the numbers 293, 371, 385, 440, 524, 017, and 713 are prime? (b) Separate 1836 into its pi-jme factors. 2. Divide A of 12.', by -i of 8|. 1 f ' 2 3. Divide .000744 by .62, and t'xphvin the position of the /lecimal point in the quotient. ARITHMETIC. 123 4. Ill 80,9.'37,HG4 sq. in. how many acres? 5. Q and Y barter. Q makes of 10 cts. 12|^ cts., Y makes of 15 cts. 19 cts. ; which makes the most per cent, and how much? 6. Three men harvested and thrashed a fiekl of grain on shares, A furnishing 4 hands 5 dys., B G hands 4 dys., and C hands 8 d3's. The whole crop was G30 bu., of which they had one-fifth ; how much did each receive ? 7. Extract the cube root of 81^ to three decimal places. 8. Bought 30'" of clotli at $2.50 per metre ; at what price per yard must it be sold to gain $ 25 ? June, 1883. 1. Find the greatest common divisor of 36,864 and 20,736. 2. Multiply I ofg by I of i- 3. (a) Give the table of metric weights. (&) A cubical cistern holds 1331*'^ of water; what is the length of an inner edge ? 4. Divide 67.56785 by 0.035, and multiply the result by |. Explain the position of the decimal point after division. 5. How much money should be received on a note of $1000, payable in 4 months, discounting at a bank where the interest is 6 per cent? 6. If a man travel 117 miles in 15 days, employing only 9 hours a day, how far would he go in 20 days, travelling 12 hours a day ? 7. Extract the square root of 10 to five places. 124 ARITHMETIC. September, 1883. 1. (a) Select the prime numbers between 50 and 100. (6) What is the least number that can be exactly divided by by J^, 21, 5, 6^, and j\? 2. Reduce 0.00096 to its simplest equivalent common fraction. 3. 7465 is dS^ per cent of what number? 4. A broker bought 84 shares of railroad stock at 19 per cent discount. He sold 35 shares at 27| per cent discount, and the balance at 8 per cent discount. Did he gain or lose, and how much? 5. Calculate the cube root of 3.7 to five decimal places. 6. Give the approximate value of the meter in feet; of the kilogram in pounds avoirdupois. 7. Find the weight in kilos of 15 gallons of water. GEOMETRY. 125 GEOMETRY. July, 1880. Note 1. Candidates who present themselves for the whole examination may omit questions 2, 3, and 5. Candidates who present themselves for the partial examination will confine themselves to the questions in Plane Geometry. Note 2. State what text-hook you have studied, and to what extent. I. — Plane Geometry. 1. (a) Define the symmetry of a figure with respect to au axis aud with respect to a point. (b) Prove that if a figiu-e is symmetrical with respect to two axes perpendicular to eacli other, it is also symmetri- cal with respect to the intersection of these axes. 2. An angle formed by a tangent and a chord is meas- ured by one-half the intercepted arc. 3. To bisect a given arc or angle. 4. (a) If a perpendicular be drawn from the vertex of the right angle to the hypotheuuse of a right triangle, the two triangles thus foriped are similar to each other and to the whole triangle. (b) What can you say of the perpendicular as com- pared with the segments of the hypothenuse? Why? (c) What of either side about the right angle ? Why ? 5. On a given straight line to construct a polygon similar to a given polygon ? 6. The circumferences of two circles are to each other as their radii, and their areas are to each other as the squares of their radii. 126 GEOMETRY. II. — Solid and Spherical Gkometuy. 7. If a straight lino and a plane are paralU'l, the intersec- tion of the plane with planes passed through the line arc parallel to that lino and to each other. 8. Dofiue a piisni. 'l\vo prisms are eqnnl. if three faces including a tiii'dral angle of the one are resi)ectivoly equal to three faces similarly placed including a triedral angle of the other. 9. P^very section of a sphere made by a plane is a circle. 10. Between what two limits does the sum of the angles of a spherical triangle lie ? Write expressions for the sur- face and volume of the cylinder, cone, and sphere. September, 1880. [State what text-book you have studied and to what extent.] 1. To draw a connnon tangent to two given circles. 2. The bisector of an angle of a triangle divides the op- posite side into segments which are proportional to the adja- cent sides. 3. The area of a parallelogram is equal to the product of its base and altitude. 4. How do you find the area of a trapezoid? The areas of similar polygons are to each other in what ratio ? Of all plane figures having the same area what one has the least perimeter ? !). If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines. 6. A triangular pyramid is one-third of a triangular prism of the same base and idtitude. GEOMETRY. 127 7. Define the terms, spherical excess and trl-rectangidar triangle. The area of a spherical triangle is equal to its spherical excess (tlie ri<2;]it angle being the unit of angles, and the tri-rectaagular triangle the unit of areas). June, 1881. Note 1. Candidates for examination on the whole of this subject should take the whole of this paper. Candidates for the first year's par- tial examination should take the first part ; those for the second year's partial examination, the second part. Note 2. State what text-book you have studied on the subject, and to what extent. I. — Plane Geometry. 1. Of two oblique linos drawn from the same point to the same straight line, that is the greater which cuts off upon the line the greater distance from the foot of the perpendicular. Corollaries. 2. In any triangle the product of two sides is equal to the product of the diameter of the circumscribed circle by the perpendicular let fall upon the third side from the vertex of the opposite angle. 3. Two sides of a triangle and the angle opposite to one of them being given, to construct the triangle. 4. The area of a circle is equal to half the product of its circumference l)y its radius. f). Calculate the area of a circle whose radius is 10 ft. II. — Solid axi> SruEiucAL Geometry. 6. The sum of any two face angles of a triedral angle is greater than the third. 7. If the base of a cone is a circle, every section of the cone made by a plane parallel to the base is a circle. 128 GEoMiyriiY. 8. Calculate the area iu square feet of a spherical triangle oil a sphere whose radius is 10 ft., the angles of the triangle being 70°, 80°, and 120°. 9. Calculate the area of a zone on the sphere whose radius is 30 ft. , the altitude of the zone being 3 ft. 10. AVrite expressions for the sui'face and volume of a cone of revolution. September, 1881. [State what text-book you have studied on the subject, and to what extent.] 1 . Through any three points not in the same straight line a circumference can be made to pass, and but one. 2. If three or more straight lines drawn through the same point intersect two parallels, the corresponding segments of the parallels are proportional. 3. To find the locus of all the points whose distances from two given points are in a given ratio, 4. Define the term lunit. Prove that the circumference of a circle is the limit to which the perimeters of the in- scribed and circumscribed regular polygons approach when the number of their sides is increased indefinitely. 5. (a) AVhen is a straight line said to be perpendicuhir to a plane? (&) How do you measure the dicdral angles in- cluded between two intersecting planes? (c) Prove that if a straight line is perpendicular to a l)hine, every plane passing through the line is also perpen- dicular to that plane. G. The volume of an}' parallelopiped is equal to the prod- uct of its base b}' its altitude. GEOMETRY. 129 7. If two triangles on the same sphere are mutually equi- angular, they are also mutually equilateral ; and are either equal or syuuuetrical. 8. Tlif lateral area of a frustum of a cone of revolution is equal to the half sum of the circumfereuces of its bases mul- tiplied by its slant height. June, 1882. Note 1. Candidates for examination in this subject as a whole, should take the whole of this paper; those for the first year's partial examination, the first part of it; those for the second year's partial examination, the second part. Note 2. State at the head of your pajjer what text-book you have stud- ied on the subject, and to what extent. 1. (a) Define and illustrate the symmetry of a figure with reference to an axis and with reference to a point. {b) Define the difterent classes and species of quadri- laterals. 2. The thi-ee medial lines of a triangle meet in a point whicli is at two-thirds tiu; distance from the vertex of each angle to the middle of the opposite side. 3. To inscribe a circle in a given triangle. Define escribed circles relati\-e to a triangle. 4. The bisector of an interior angle of a triangle divides the opposite side into segments proportional to the adjacent sides. 5. When is a variable magnitude said to have a limit? Give an example to illustrate the definition. G. If two sides of a triangle be given, its area v'ill l)e a maximum when these sides are at riiJ-ht ambles. 7. If a straiglit line is perpendicular to each of two straight lines at their point of intersection, it is pcrpendicuhu to the plane of these lines. 130 GEOMETRY, 8. Dofine symmetricnl polyhedral angles. Illustrate the definition l)y a figure. 9. Define the poles of a circle of a sphere. Prove that all j)oints on tlie circumference of a circle of a sphere are equally distant from each of its poles. 10. Tiie angle between two great circles is equal to the diedral angle between their planes. September, 1882. [State what text-book j-ou have studied, and to what extent.] 1 . An inscribed angle is measured b}'^ one-half its inter- cepted arc. 2. From a given point without a circle to draw a tangent to the circle. 3. To construct a triangle which shall be equal in area to a given quadrilateral. 4. The diameters of two concentric circles being 10 and G feet, required the area of the ring contained between their circumferences. o. The sum of any two face angles of a triedral angle is greater than the third. G. The lateral area of a frustum of a regular pyramid is equal to its slant heiglit into half the sum of the perimeters of its bases. 7. AVrite expressions for the volume of the sphere and right C3'linder. Show that the volume of a si)lunv is to that of its circumscribed cyliuder as 2 to :?. 5. Required the area of a splierical tiinugle described on a sphere, whose diameter is 30 feet, the angles being 140°, 92% and 08°. GEOMETRY. 131 June, 1883. Note 1. — Candidates for examination on the whole of this subject should take the wliolo of tliis paper. Candidates for the first year's parti.al examination sliould take the first part; those for the second year's partial examination, the second part. Note 2. — State what text-book you have studied, and to what extent. I. — Plane Geometry. 1. (a) Define the symmetry of a figure with respect to a poiut and with respect to an axis. (6) Determine the symmetrical figure of a triangle with respect to a poiut lying within and with respect to an axis cutting the triangle. 2. The tlu'ee perpendiculars from the vertices of a triangle to the opposite sides meet in the same poiut. 3. To construct a polygon similar to a given polygon, the ratio of similitude of the two polygons being given. 4. (a) What is the area of a circle circumscribed about a square whose side is a? (b) What must be the diameter of a circle in order that the length of its circumference may be 100 feet? 5. To find the locus of the point from which a given line subtends a right angle. 6. Of all triangles having the same base and equal areas, that which is isosceles has the minimum perimeter. II. — Solid and Spherical Geometry. 7. Between two lines not in the same plane, one, and onl}' one, common perpendicular can be drawn. 8. All parallel()pii)ods having the same base and equal altitudes are equal in volume. 9. Show that opposite spherical triangles are symmetrical. If two symmetrical spherical triangles are isosceles, they are identically equal. 132 GEOMETRY. 10. Write expressions for the lateral area and volume of the prism and regular pj-ramid : also for the entire surface and volume of the right cylinder and sphere. September, 1883. [State what text-book you have studied, and to what extent.] 1. Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point within the angle, but not on the bisector, is nearer that side toward which it lies. 2. If the sum of two opposite angles of a quadrilateral is equal to two right angles, the vertices of the four angles lie on a circle. 3. (a) Write expressions for the area of the triangle, parallelogram, trapezoid, and circle. (5) The areas of similar figures are to each other in what ratio ? (c) How would you find the area of any quadrilateral ? 4. (a) When is a variable magnitude said to have a limit f Give an example to illustrate the definition. (6) Apply the theory of limits to show that the area of a circle is equal to half the product of its circumference b}' its radius. 5. If from any point perpendiculars be dropped upon two intersecting i)lanes, the angle between these perpendiculars will be equal to the dihedral angle between the planes, ad- jacent to the angle in wliich the i)oint is situated. 6. The area of a sphericnl triangle is proportional to its spherical excess. 7. Required the entire surface and volume of a right cone whose altitude is 12 feet, and the diameter of its base 15 feet. 8. The radius of a sphere is bisected at riglit angles by a plane. What is the ratio of the two parts into which the plane divides the spherical surface? ALGEBRA. 133 ALGEBRA. July, 1880. [State what text-book you have studied, and to what extent.] I. 1. Resolve the following expressions into factors, 1 G a^ b- — 24 a? bmx -f J) m" x' ; 9 rr 6" — 1 cr c- ; (V^ — 8 h'^. 2. Given 1 ^— = and ^ = ; „ , 1 a4-b a — b a — b « + o a—b a-j-o nncl X and y. 3. Given Va — cc -f V6 — x= , to find a;. 4. (a) From 2V72«- take Vl62tt^ (&) Find the value of V2 x a/3 X a/5. (c) Divide 8 a — & by 2a^ — b\ 5. Given ^' + 4 ;« - 8 > 3 and Gx + i^^Ejzl^ < 18, to find 2 3 a superior and inferior limit of x. II. 6. Given '-^ '■ ~ = 4, to find the values of x. x-2 x+2 " 7. Given x" -{- xy = ay- -f- xy = Zy, to find .f and y. 8. Expand — '^^^ — ^ into a series b}' the method of inde- 1 — .X — X- terminate coefficients. 134 ALGEBRA. 9. The number of permutations of n things, 3 together, is 6 times the number of combinations, 4 together ; (nul n. Note. — The first division of the paper extends as far as Quadratic Equations, and Avill be all that is required of candidates who propose to pass the partial exaiuiiialion only. September, 1880. 1. Divide — ^, by — ■ x--2bx-{-b- -^ x — b 2. Given = and 5 ax — 2 by = c, to find x and y. 3 3. VU — x-i-Vll — x= , to find a;. Vl 1 - a; , — , — ^ a -\- b la — b 4. Simphfy V24 + V54 - VG ; ,7:r^>J^^^ ? 5. Extract the square root of 4 x' + 1 (> (/•' - 1 2 cu%^ — 24 a'^x + 25 a- x-. 6. Solve the equation 3.x-- + 2.i; — 9 = 76. 7. If —' = — = —'•••=-!'=: /•, show that 61 />^ &.; &„ n, -I- r>, -f g,. + ••• +a„ ^ _^. /,, .|_ 6,+ /'; 4- •■■ +b" 8. Having tlu; lirst term (a), the ratio (r), .ind llio Last term (7), of a geometric pi-ogression, find the sum (.s), and tlic miiuher (11) of tile tei'ius. b 9. Expand - into a series bv the liinomial formula. Var + u^ 10. .Solve the eqiiiilions .r" = y^ and .r" = ?/". ALGEBRA. June, 1881. 135 Note 1. — Candidates for examination in this subject, as a whole, should take the whole of this paper; those for the first year's partial examination, the lirst part of it; those for the second year's partial examination, the second part. Note 2. — State at the head of your paper what text-book you have studied on the subject, and to what extent. I. 1. Find the greatest common divisor of ixi'-i-lOa'b-^oa^b'^ and a^ b -}- 2 a- b' -{- 2 ab' -\- bK - ^. 13m— 7x Am — x m+p , , ^ -, 2. Given 1 = kx, to find x. m -\- 1) m — 2) ni — 2> 3. Two masons, A and B, propose to build a wall. If both work together, they can finish it in 12 dys. ; but if A work 2 dys. and B 3 dys., thej' will complete only one-fifth of the job. How long will it take each of them separately to do the work? 4. (a) Reduce Va, 'Vb, V(?, to the same index. (b) Simplify the following expressions: (1) Vsa'Va*"'^; (2) 4V48-fVl47-4VT2; (2)^(9)^(3)^ (3) (3)«(4)^(2)^ 12a; + 4 o. Given 2V2x~+2 +^/lirf2 ^ ^ T^_ , to find x. V8a; + 8 II. oG—x T). Given l.r = 4^, to find x. X 7. Determine ]}y inspection the roots of the equation, X- — (a + b)x + (a + c) {b — a) = 0, and state the jn'inciple upon which you do so. 13G ALGEBRA. 8. Given ary -\- xy- = a and x'-y — xy- = />, to find x and y. 9. Kxpiuul {ir-\-Ir)^ to four terms l)y the binoiniul fur- iniilii. 10. Show that the nioduUis of any system of loi>arithnis is eqnal to the reciprocal of the Naperian logarithm of the base of the system ; and also that it is eqnal to the loga- rithm of the Naperian base taken in the system. September, 1881. [State what text-book you have studied on the subject, and to what extent.] 1. Resolve a'^ — U' into fonr factors. 7 4 12 2 . Given — = -\ -^ = 4 and — = -| — -= = 1 , to fi nd x and y. V;c Wy -\/x Vy 3. Simplify the following expressions : (a) i^; {h) («5)^; (c) a/^? ; 4. Resolve the trinomial .r-)-2;v — 120 into its binomial factors. ^, . V'J XT — 1 4- VS — or o , ,. 1 ;). Given — :;:^^;^:=^ =-^. to inid x. V8.r-1-V3-.T- '> G. rJivcn ").;■- + :^?/- = 22 and 3 .r'-' —.")_?/-= 7 , to find x and //. 7. A 1):U1 rolls down an ineluied plane, describing I ft. the first second, '.'> 11. Uie second, and so ou. IIow far will it go in 10 sec, and liow far in the tenth second? ALGEBRA. 137 8. Jf the poi)ul:iti()ii of a certain city is now 10. 000, and it increases at the annual rate of 10 per cent for tlie next 10 yi's., what will it l)e at the end of that time? [Given (1.1)'" = 2.59^7+.] 9. Expand " ^ ^ ' into a series by the method of indeter- 4 + 5 .X- minate coefficients. 10. Find the number of combinations of 10 things taken 4 together, and also taken G together. June, 1882. Note 1. — Candidates for examination in this subject, as a whole, should take the whole of this paper; those for the first year's partial examination, the first part of it; those for the second year's partial examination, the second part. Note 2. — State at the head of your pai^er what text-book you have studied on the subject, and to what extent. I. 1. Resolve x^ + Sy'^ into two factors. . Cxiveu = ex, to nnd the value of x. a+b a—h 3. There are three workmen, A, B, C. A and B together can perform a certain piece of work in a days ; A and C to- gether, in h days ; and B and C togetlier, in c days. In what time could each singly perform it, and in what time could they finish it if all worked togetlier? 4. Prove that if ", (I., (^-5 ., Ui + a., + u^ — = —=— = i\ then — '—^ — - = r. b, b, b, u, + b,-\-b, 5. (a) Write equivalent expressions for the following: 138 ALGEBRA. (b) Reduce the following expressions to simpler forms ( 1 ) V4.") f' — VSOc-' ^- Voa-c ; (3) 4a/|x2V|. II. 6. Given 3a;- -\-x — 7, to find x. 7. Given ^ ,_ — = \ -, to find x. ^x ^ b -\/2c. 6. Solve the equation fix*- — 13a; + G = 0, and resolve the first member into its factors. 7. Given x -\-y =2^ and ic^ = g^, to find x and y. 8. A traveller has a journe}- of 132 miles to perform. He goes 27 m. the first day, 24 m. the second, and so on, travel- ling 3 m. less each da}' than the day before. In how many days will he complete the journej' ? 9. What is the present value of a dollars due n years hence, at c per cent compound interest? 10. How many distinct straight lines can be drawn in joining, two and two, five distinct points, no three of which are in the same straight line ? June, 1883. Note 1. Candidates for examination in this subject, as a whole, should take the whole of this paper; those for the first year's partial examination, the first part of it; those for the second year's partial examination, the second part. Note 2. State at the head of your paper what text-book you have studied, and to what extent. I. 1. Reduce to their simplest forms the fractions, . ac + bd + ad + be . ,,. ax'" — ?>a;'"+\ ^"^ af-\-2bx + 2ax-\-bf' ^ ^ a^bx-h^a? 2. Given — - ^^^^^^ -bx = ae-S bx, to find x. d a 140 ALGEBHA. 3. A sum of money, at simple interest, amounted in m years to a dollars, and in n years to b dollars. Find the sum and the rate of interest. 4. Prove that if ^~^ <; i _ ^, and m is positive, then . my 6. (a) Simplify (a-6'')J+(a-c'')i. (&) Extract the square root of G hm-" + /r + 9 m'^^. (c) Reduce ^ - — :z:=::r= to an equivalent fraction V.T + rt — -y/x — a with a rational denominator. II. 6. Given 15 a;^ _ 20 a; = 35, to find x. 7. Given ^+^ ^"-'-^ ={x- 2)\ to find x. X - Va;' - 9 8. Given x^ — xy = 48, and xy — ?/- = 12, to find x and y. 9. The number of permutations of n things taken r to- gether is equal to 10 times the number when taken r—\ together ; and the number of combinations of n things taken r together is to the number when taken r — 1 together as 5 to 3 ; required the value of n and r. 3 4- 2a; 10. Expand y-^ — into a series of ascending powers of a; by the method of indeterminate coefficients. (Four terms of the series will be suflieient.) TIllGOXOMETRY. 143 G. Ill a, triaugle ABC, given a = 309, Z> = 450, and A = 27° 50', to first determine whetlier the triangle admits of more Hum one solution, and tlien solve it. June, 1881. [State what text-book you have studied on the subject, and to what extent.] 1. "Write tlie values of the different trigonometrie func- tions for angles of 0°, 90°, 180°, 270°, 300°. 2. "Write the simplest equivalent expressions for sin I -—a), cos(--(-(tj, tan(-|7r— a), sin(27r— a). 3. Write the fundamental formulae connecting two or more of the trigonometric functions of the same angle, and deduce any two of them. 4. Given tan a = — , to find sin a and cos a. n 5. Deduce the formulae, cos 2 a =1—2 siu^a ; sin J-a = Vy(1— cos a). 6 . Prove that tan ^ |^ + tan ^ ^ = -. 4 7. In a plane triaugle the side a is 4575, the side b is 5G56.7, and the angle B (opposite b) is 125° 25'; find the remaining parts of the triangle. September, 1881. [State what text-book you have studied on the subject, and to what extent.] 1. Find the angle 1.8 in degrees. 2. Calculate the different functions of - and V-tt. 6 ' 3. Represent the different trigonometric functions of an angle in the second quadrant by lines. 144 TRIGONOMETRY. 4. Deduce the formula, cos a — cos h = — 2 am -\ {a + b) sin .', (a — b) , a and ?/ being any angles. m 5. Given tan^= — . to lind the value of u 1)0 COS 20 + n sin 2^. G. In a triangle ABC, given the sides a, 6, and c, respec- tively, opposite the angles A, B, and C, as follows : a = 7GG.3, b = G72, c = 565. U5, to lind the angle A. Juuc, 1882. [State what text-book you have studied on the subject, aud to what extent.] 1. Define the different trigonometric functions of an angle. 2. Give the algebraic sign of each function of an angle terminating in each of the four quadrants. 3. Show that sin (tt + a) = — sin a ; and that cos (2 tt — a) = cos a. 4. Find the formula for tan (a -f^) in terms of tan a and tan /S. Find also the formula for tan 2 a in terms of tan a. 5. Given 2 a tan ^ sin ^ — 2 a cos ^ -f- /j = 0, to find 6. 6. Given two sides of a plane triangle IHO and 100, and the angle opposite the former 127° 33', to find the other parts. September, 1882. [State what text-book you have studied, and to M'liat extent.] 1. Find tlie luniibor of degrees in the angle subtended at the centre of a circle whose radius is lU ft. by an arc 9 in. loner. TRIGONOMETRY. 145 2. Determine all the funetious of the followiug tingles : 30°5 7, f 7I-, 585°. 4 3. Given the functions of an}' angle to find the functions of half that angle. 4. Given tan ^ = — , to find the value of sin 2^. n 5. Show that 2tau"'^a = tan~' l-a^ 6. In a plane trianglo, given a =100, c = 200, and B = 112° 30', to find the remaining parts. June, 1883. 1. Explain the circular measure of an angle. Express an angle of 1.5 in degrees. 2. Give the algebraic signs of the trigonometric functions for angles terminating in each of the four quadrants, and the q values of the functions of 0, -, rr, — . 3. State some of the fundamental relations existing be- tween the different functions of the same angle. 4. Find an angle whose tangent is double its sine. 5. "Write the different formulae which serve to solve right- angled triangles, and explain their application. 6. Find a formula for expressing sin ^a in terms of cos a. 7. If a, b, and c are the sides of a triangle, and a the angle opposite the side a, show that a- = &- + c^ — 2bc cos a. Also state any application you have made of this formula. 8. In a triangle given A = 32°, a = 40, 6 = 50, to find one solution of the triangle. Is there more than one? If so, how do you recognize the fact? 146 TRIGONOMETRY. September, 1883. 1. Express an angle of 75° in radians. 2. Express each of the functions of ( - + a j by a function of a. ^^ ^ 3. Form a general expression for all angles which have the same cosine. 4. What must the value of the cosine be in order that the tangent may be n times the sine? 5. To find a formula for the tangent of the sum of two angles in terms of the tangents of the angles ; and from this formula to derive an expression for the tangent of twice an angle in terms of the tangent of the angle. 6. In a triangle ABC, given the angle A= 118° 04', and the adjacent sides, &= 9G0, and c = 1686, to find the remain- ing angles and side of the triangle. LATIN. 147 LATIN. Julj-, 18S0. I. Translate as literally as possible : — a. Qnum oa ita siut, tamcn, si obsides ab iis sibi den- tin-, uti ea, quae polliceantnr, factnros intelligat, et si Aeduis de injuriis. qnas ipsis sociisque eorum intulerint, item si Allobrogibus satisfaciant, sese cum iis pacem esse 5 factm-nm. Divico respondit : Ita Helvetios a majoribus suis iustitutos esse, iiti obsides accipere, non dare, con- sueriut ; ejus rei populum Romanum esse tesfem. h. Ibi vadis repertis partem suarura copiarum trans- ducerc conati simt, co cousilio, uti, si posseat, eastellum, 10 cui praeerat Quiutus Titurius legatus, expuguarent, pon- temque interscindereut ; si minus potuissent, agros Re- morum popularentur, qui magno nobis tisni ad l)ellura gereudum erant, commeatuque nostros prohibereut. c. Impeditis hostibus propter ea, quae ferebant, ouera, 15 subito quabus portis eruptionem fieri jubet. Factum est opportuuitate loci, hostium inscientia ac defatigatione, virtute militum, et superiorem pugnarum exercitatione, ut ne uuum quidem nostrorum irapetum ferreat ac statim terga verterent. 20 d. Dum in his locis Caesar navimn parandarum causa moratur, ex magna parte Moriuorum ad eum legati vene- runt, qui se de superioris temporis consilio exousarent, quod homines barbari et nostrao consuetadmis imperiti bellura populo Romano fecissent, seque ea, quae impc- 25 rasset, facturos pollicereutur. e. Britanniae pars interior ab iis incolitur, quos natos in insula ipsi memoria prodititm dicunt ; maritima pars ab iis, qui praedae ac belli inferendi causa ex Belgis transieraut ; qui oumes fere iis nominibus civitatum ap- 14y LATIN'. 30 pellantnr, quilnis orti ex civitatibus eo pcrvcucrunl, et, bello illato, ibi porinauserunt atcpie agros colore coepc- runt. /. Aiiibiorix copias suas Jadlcione iiou conduxerit, quod proclio diraicandura non cxistimarit, an tempore 35 cxclusus ct rcpeutino equitum advcntu prohibitum., quuia r.'liquum exercltmn subsequi crederet, dubium est ; sed certe dimissis per agros uuntiis sibi quemquc cousulerc jussit. II. 1. Decline obskles (1), majoribus (5), loci (IG). 2. Compare imj^eriti (23), interior (26), certe (37). 3. "Write the synopsis, active and passive, of intelligat (2). 4. State the mood and tense of the following : consuerint (G), praeerat (10), ferrent (18), imjjerasset (24), existi- marit (34). 5. Give the principal parts of the following : 2^^^^ic<^(^i'i'tur (2), repertis (8), inter scinderent (11), gerendum (13), verte- rent (19), incolitur (2G), 07ii (30), colere (31), cxistimarit (34), exclusus (3.1), crederet (3G), considere (37). 6. State the construction of all italicized words. 7. Define indirect statement {oratio obliqua), and quote an example from the above text. 8. Convert into direct statement (oratio directa) the example quoted in answer to question seventh. September, 1880. I. Translate as literally as possible : — a. Eadem secreto ab aliis quaerit ; reperit esse vera : Ipsum esse Dumnorigem, summa andacia, magna apud plebem propter liberalitatem gratia, cupidum rerum novarum : complures aniios portoria reliquaque omnia LATIN. 149 5 Ac(lu()i-uin vcctigalia parvo jiretio rodempta habere, propterca quod, illo liecnte, contra liceri audeat nemo. b. Quum ab his quaereret, quae civitatcs, quautaequo in armis essent ct quid in bello posscnt, sic reperiebat: Pleroscpie Belgas c^sc ortos ab Gerraanis, Rhcnumquc 10 antiquitns transductos propter loci fertilitateni ibi consc- disse, Gallosque, qui ea loca incolercnt, expulisse. c. His rebus gestis, quum oniin!)us do caiisis Caesar pacatam Galliam existimaret, superatis Bolgis, expulsis Germauis, victis iu Alpibus Sedunis, atque ita inita 1.5 liieme in lUyricum prof'ectus esset, quod eas quoque natioiies adire et regioues cognoscere volebat, subituia bellum iu Gallia coortum est. d. Germauico bello coufecto, inultis de causis Caesar statuit sihi Rheuum esse trauseuudum ; quarum ilia fuit 20 justissima, quod, quum videret Germauos tarn facile im- pelli, ut in Galliam venirent, suis quoque rehws eos timere voluit, quum iutelligerent et posse et audere populi Romani e.vercitam Rheuum transire. e. Utuntur aut ao-e aut taleis ferreis ad certum poudus 25 examiuatis pro nummo. Nascitur ilii plumbum album in mediterraneis regionibus, in maritiuiis ferricm., sed ejus exigna est copia ; acre utuntur importato. Materia cujusque generis, ut in Gallia, est, praeter fagum atque abieteni. 30 /. Ac fuit antea terapus, quum Germauos Galli virtnte superareut, ultro bella inferreut, propter hominum multi- tudinem agrique inopiam trans Rheuum colonias initte- rent. Itaque ea, quae fertilissima Germaniae sunt, loea circum Hercyniam silvam, Volcae Tectosages, occupave- 35 runt atque ibi consederuut. II. 1. Decline vectir/cdia (5), ea (11), lueme (lo). 2. Compare parvo (o), facile (20), fertilissima (33). 150 LATIN. 3. AVrite the synopsis, active and passive, of habere (o). 4. State the mood and tense of the following : reperit ( 1 ) , audeat (6), videret (20), superarent (31), inferrent (31). 5. Give the principal parts of the following : quaerit (1), reperit (1), audeat (6), incolerent (11), coortum (17), con- fecto (18), impelli (20-21), videret (20), intelligerent (22), nascitur (25), consederunt (35). 6. State the construction of all italicized words. 7. Define indirect statement {oratio obliqua), and quote an example from the above text. 8. Convert into direct statement (oratio di recta) the example quoted in answer to (question seventh. June, 1881. I. Translate as literally as possible : — a. Ei legatioui Ariovistus respondit : Si quid ipsi a Caesare opw.s esset, sese ad cum venturum fuisse ; si quid ille se velit, ilium ad se venire oportere. Praetcrea se neque sine exercitu in eas partes Galliae venire audere, 5 quas Caesar possideret, neque exercitum sine magno commeatu atque molimento in unum locum contrahere posse. b. Hac re statim Caesar per specnlatores cognita, in- sidias vcritus, quod, qua de causa discederent, nondum 10 perspexerat, exercitum equitatumque castris continuit. Prima luce, confirmata re ab exploratoribus, omnem equitatum, qui novissimum agmen moraretur, praemisit. c. Erant ejusmodi (ere situs oppidoruin, ut posita in extremis lingulis promontoriisque, neque pedibus aditum 15 haberent, quum ex alto .se aestus incitavisset, quod bis accidit semper horarura viginti quattuor spatio, neque navibus, quod rursus miuueute aestu naves in vadis afflictareutur. LATIN. 151 d. Quod ulii Caesar compevit, omnibus his rebus con- 20 fectis, quarum i-erum causa transclucerc cxcrcitum con- stituerat, ut Gcrmams mctum injicerct, ut Sigambros ulcisceretur, ut Ubios obsidione liberaret, diebus omnino decern et octo trans Rlienura consumptis, satis ct ad laudem et ad utilitatcm profectum arbitratus, se in Galliam 25 recepit pontemque reseidit. e. Nostri, acritcr in eos inipetu facto, repulerunt, ncque finem sequendi fecerunt, quoad siibsklio confisi equitcs, quum post se legiones viderent, praecipites hostes egerunt, magnoque eorum numero interfecto, neque sui coUigcMidi 30 ueque consistendi aut ex essedis desiliendi facultatem dederunt. /. At in ejusmodi diflicnltatibus, quantum diligentia provideri poterat, provitleliatur, ut potius in uoccndo aliquid praetermittcretur, etsi omnium animi ad ulciscen- 35 dum ardebant, quam cum aliquo milituni dctrimento noceretur. II. 1. Decline situs (13), pedihus (14), vadis (17). 2. Compare pr/ma (11), acriter {2^)^ potius (33). 3. AVrite the s^-nopsis, active and passive, of perspex- erat (10). 4. State the mood and tense of the following : velit (3), moraretiir (12), accidit (IG), viderent (28), dederunt (31). 5. Give the principal parts of the following : respon- d«'i(l), audere (4), contraliere (6), veritus (9), continuit (10), moraretur {\2)^i)osita (13), comperit (19), idcisceretur (22), recepit (25), reseidit (25), conjisi (27). 6. State the construction of all italicized words. 7. Define indirect statement (oratio obliqua), and quote an example from the above text. 8. Convert into direct statement (oratio directa) the example quoted in answer to question seventh. 152 LATIN. September, 1881. I. Traushite as literally as possiI)le : — a. Eodem die ah exploratorilnis certior factus hostes sill) inoiite coiisedisse inillia pdsstium ab ipsius castris octo, qualis esset uatura moiitis et qiialis in circuitii aseensus, qui cognoscerent, misit. Renuntiatiun est, 5 facilem esse. Do tertia vigilia Tituin Labieuum, legatiim pro praetore, cum duabus legiouibus et iis diieibus, qui iter cognoverant, summum jngum inoutis ascendere jubet. b. Hoc proelio facto et prope ad iuterneciouein gente ac nomine Nervioruni redacto, majores nafn, quos una 10 cum pueris niulieribus(iue in (testuaria ac paludes coUectos dixeramus, hac pugna nuntiata, quuni victorihus nihil impeditum, victis nihil tutuui arbitrarentur, omnium, qui supercrant, consensu legatos ad Caesarem miserunt seque ei dediderunt. 15 c. Ilostes undique circumventi, desperatis omnibus rebus, se per munitioncs dejicere ct fuga salutem petere intenderunt. Quos equitatus apertissimis campis consee- tatus, ex millium quinquaginta numero, quae ex Aquitania Cautabrisque convenisse constabat, vix quarta pai'te 20 relicta, multa node se in castra recepit. d. Reliquura exercitum Quiuto Titurio Sabino ct Lucio Aurunculeio Cottae, legatis, iu INIenapios atque in eos pagos Moriuornm, ab quibns ad eum legati non venerant, ducendum dedit. Publium Sulpicinm Rufum legatnm, 2") cum CO praesidio quod satis esse arl)itrabatur, portuni tencre jussit. e. Equites hostium essedariitiu;; acriter proelio cum cquitatu nostro in itincre conllixonuit, ita tamen ut nostri omnibus partihns su[)erioivs fuerint atque eos in silvas col- 'M lesque compulerint; sed, conqihuibus interfcctis, eupidius insecuti uonnullos ex suis amiseruut. LATIN. 15C /. Cum his osso liospiLium Ambiorigi sciebat ; item per Trcviros venisse German's in amicitiiim cognoverat. Ilacc prius //// detrahenda auxilia existimabat, qnam ip.su m 35 bello lacesseret ; ne desperata salute aut se iu Meuapios abderet, aut cuiu Trausrheuauis conii'vedi eogeretur. II. 1. Decliue millUi (2), dacibus [()) , JiK/niti (7). 2. Compare snmmum (7), latum (12), capidius (30). 3. Write the synopsis, active and passive, oH 7)usU (4). 4. State tlie mood and tense of the following: sirper- erant (13), intenderunt (17), recepit (20), tenere (26), com- piderint (30). 5. Give the principal parts of the following: ascenders (7), redacto (9), dedidcnuit (H), dejicere (16), jjetere (16), relicta (20), covjilxerunt (28), compiderint (30), detrahi'nda (34), lacesseret (35), abderet (36), congredi (36). 6. State the construction of all italicized Avords. . 7. Define indirect statement {oratio obliqua), and quote an example from the above text. 8. Convert into direct statement (oratio directa) the example quoted in answer to question seventh. June, 1882. I. Translate as litcrall}' as possible : — a. Relinquebatur una per Sequanos via, qua, Sequanis invitis, propter angustias ire non poterant. His (pmm sua sponte persuadcre non posscMit. legates ad Duiiinori- gem Aeduum mittunt, ut eo deprecatore a Sequanis 5 impetrarent. b. Nam quod ad hostes appropinquabat, consuetudine sua Caesar sex legiones expeditas ducebat : post cas 154 LATIN. totiiis exorcitus iinpedinienta coUocariit : iiule diiae le- giones, quae proxime conscriptae erant, totuin agmeu 10 claudebant jjme.s/rfo^^e impedimevtis erant. c. Kraut hae diffleultates belli r/ereiirh\ quas supra ostendimus, sed multa Caesarem tanien ad id helium incitabant : injuriae retentorum equitum Romanorum, rebellio facta post dcHlitionein, defectio datis obsidibus, 13 tot fivitatum eonjuratio, imprimis, ue hac parte uegleeta, reliquae nationes sibi idem licere arbitrareutur. cl. Diebus decem, quibus materia coepta erat compor- tari, omni opere effecto, exercitus transducitur. Caesar ad utraraque partem poutis firmo praesidio relicto, in fines 20 Sigambrorum coutendit. Interim a compluribus civitati- bus ad eum legati veniunt, quibus paeem atque amicitiam petentibus liberaliter respoudit obsidesque ad se adduci jubet. e. Tunc duces prineipesque Nerviorum, qui aliquom 25 serraonis aditum causamque amicitiae cum Cicerone habebant, colloqui sese velle dicunt. Facta potestate, eadem, quae Ambiorix cum Titurio egerat, commemo- rant : Omnem esse in armis Galliam, Germanos Rlienum transisse, Caesaris reliquoruinque liiberna oppugnari. 30 /. In omni Gallia eorum hominum, qui aliquo sunt numero atque honore, genera sunt duo ; nam plebes paene servorum habetur loco, quae nihil audet per se, nullo adhibetur consilio. Plerique, quum aut aere alieno aut magnitudinc tributorum aut injuria poteutiorum 35 premuntur, sese in servitutem clicaut nobilibus : in hos eadem omnia sunt jura, quae dominis in servos. II. 1. Decline /out (1), Sequanis (1), deprecatore (4). 2. Compare proxime (9), multa (12), firmo (19). 3. Write the synopsis, active and passive, of relinque- hatur (1). LATIN. 155 4. State the mood aiul tense of the follow ino- : impetra- rent (5), collocarat (8), ostendirmis (12), coutendit (20), egerat (27). 5. Give the principal parts of the followini;; : persiiadere (3), mittxmt (4), claudehant (10), retentoratn. (1^5), vc/jkcta (IT)), respondit (22), colluqui (26), 'yeZZe (2G), ctwtZei (32), adhibetnr (33), prem?m educit ; et qua proximum iter in ulteriorem Galliam per Alpes erat, cum his quinque legiouibus ire contendit. b. Quum se illi identidein in silvas ad suos reciperent ac rursus ex silva in nostros impetum facerent, neque nostri longius, quam quern ad finem porrecta loca aperta 10 pi'rtinebant, cedentes insequi auderent ; interim legiones sex, quae primae venerant, 02)ere dimenso castra munire coeperunt. c. Itaque Titum Labienum legatum in Treviros, qui proximi flumini Rheno sunt, cum equitatu mittit. Iluic 15 mandat, Remos reliquosque Belgas adeat atque in officio contineat, Germauosque, qui auxilio a Belgis arcessiti dieebantur, si [)er vim navibus flumen transire conentur, prohibeat. 156 LATIN. cl. Ipse cuin omnil)us eoj)iis in Morinos ijrofieiscitur, 20 quod iude erat brevissimus in Britanniam trajectus. Hue naves uudique ex finitimis regionibus ct, quani superiore aestate ad Venetieum belhun effecerat, classem jubet con- venire. e. Cicero ad haec uuuni niodo respondit : Non esse 25 consuetudineni populi Romani accipere ab hoste armato conditionem : si ab armis discedere velint, se adjutore utantur Icgatosque ad Caesarem mittant : sperare pro ejus justitia, quae petierint, impetraturos. f. Nam fere de omnibus controversiis publieis priva- 30 tisque constiLuunt ; et si quod est admissum fueinus, si caedes facta, si de haercditate, de finibus controversia est, iidem decernuut ; praemia poenasque constituunt. Si qui aut privatus aut populus eorum decreto non stetit, sacrijiclis iuterdicuut. Haec poena apud eos est gravis- 35 sima. II. 1. Decline muidtioni (1), hibernis (4), ei (1). 2. Compare nlteriorem (5),p?-tmae (11), superiore (21). 3. Write the synopsis, active and passive, of conscri- Ut (3). 4. State tlie mood and tense of the following : contendit (G), reaperent (7), auderent (10), conentur (17), velint ('2G). 5. Give the princii)al i):irts of the following : praefecit (2), contendit (G), porrecta (9), cuiderent (10), dintenso (11), conentur (\1), jubet (22), petierint (28), constituunt (30), decermuit (32), stetit (33), interdicnnt (34). G. State the con.structi(jn of all italicized words. 7. Quote (in full) from the above text an example of indirect statement. 8. Change into direct statement the example ([uoted in answer to question seventh. LATIN. 157 June, 1883. I. Translate as literally as possible : — a. Ubi de ejus adventii Helvetii certiores facti sunt, legates ad eiini luittnnt, uobilissimos civitatis, cujus lega- tionis Nameiiis et Verudoctius principem locum obtine- bant, qui dicerent, sihi esse in animo sine ullo malotieio 5 iter per provinciam facere, propterea quod aliud iter habereut nullum. 6. Temporis tanta fuit exiguitas hostiumque tam paratus ad dimicandura animus, ut nou modo ad insignia accom- modauda, sed etiam ad galeas induendas scutisque tegi- 10 menta detrudenda tenipus defuerit. Quam quisque ab opere in partem casu devenit, quaeque prima signa con- spexit, ad baec constitit, ne in quaereudis suis pugnaudi tempus dimitteret. c. Hac re perspecta, Crassus, quum sua cunctatione 15 atque opinioue timoris hostes nostros milites alacriores ad pugnandum cffecissent, atque oniiiium voces audirentur, exspectari diutius nou oportare, quin ad castra iretur, co- hortatus suos, ouuiibus cupieutibus, ad hostium castra contendit. 20 d. Genus hoc est ex essedis pugnae : primo per omnes partes perequitant et tela conjiciunt, atque ipso ferrore equorum et strepitu rotarum ordines plerumque i)ertur- bant, et quum se inter equitum tnnnas insinuaverunt, ex essedis desiliunt etpedibus proeliantur. 25 e. Qua re animadversa, Ambiorix pronuntiari jubet, ut procul tela coujieiant, neu propius accedant, et quam in partem Roman i impetum fecerint, oedant (levitate armo- rum et quotidiana exercitatione nihil iis noceri posse), rursus se ad signa recipientes iusequautur. 158 LATIN. 30 /. VA-at aogov in praesidio relictus Pnblius Sextius Bacillus, qui prinium piluui ad Caesareni duxerat, cujus montioiu'in sui)i'ilorihus proL'liis feeinius, ac diom jam quintain cibo caiueiat. Hie dittisus suae atque omnium saluti inermis ex tabei'naculo prodit : videt imminere hos- 35 tes atque in summo esse rem discrimiue : capit arma a proximis atque iu porta cousistit. II. 1. Decline adventu (1) , principem (3), ullo (4). 2. Compare certiores (1), nobilissimos {2), prima (11). 3. Write the sj'nopsis, active and passive, of mittimt (2). 4. Parse iu full each word in the last two lines of pas- sage 6. 5. Give the principal parts of the following : obtinebant (3), detruclenda (10), effecissent (16), oportere (17), iretur (17), contendit (19), conjiciunt (21), deslliunt (24), cedant (27), noceri (28), relictus (30), diffisus (33). 6. State the construction of all italicized Avords. 7. Quote (in full) from the above text an example of indirect statement. 8. Change into direct statement the example quoted in answer to question seventh. September, 1883. I. Translate as literally as possible : — a. Is ita cum Caesare agit : Si pacem populus Romanus cum Ilelvotiis faceret, in cam partem ituros atque ibi futuros Ilelvetios, ubi eos Caesar coustituisset atque esse LATIN. 159 voluisset ; sin bello persequi perseveraret, reminisceretur 5 et veteris incommodi populi Komani et pristiuae virtutis Helvetiorura, 6. Caesar quum septimam legionem, quae jnxta consti- terat, item ursjeri ab lioste vidisset, tribunos militum mouuit, ut paulatira sese legiones conjungerent et con- 10 versa signa in hostes inferrent. Quo facto, quum alius alii subsidium ferrent, ncque timereut ne aversi ab hoste circumvenirentur, audacius resistere ac fortius pugnare coeperunt. c. Una erat magno usid res praeparata a nostris, falees 15 praeacutae, insertae affixaeque longnriis, non absimili forma muviilim-n falcium. His quura funcs, qui antennas ad malos destinabant, comprehensi adductique erant, navigio remis incitato praerumpebautur. d. Caesar questus, quod, quum ultro iu continentem 20 legatis missis pacem ab se petissent, bellum sine causa intulissent, ignoscere imprudentiae dixit obsidesque im- peravit ; quorum illi partem statim dederunt, partem ex longinquioribus locis arcessitam paucis diebus sese datu- ros dixerunt. 25 e. His circumventis, magna manu Eburones, Nervii, Aduatuci atque horum omnium soeii et clientcs legionem oppugnare incipiunt : nostri ccleriter ad arnia concunnnt, vallum conscendunt. Aegre is dies sustentatur, quod omnem spem hostes in celeritate pouebant atque banc 30 adepti victoriam in perpetnum se fore victores conlidebant. /. Multum quum in omnibus rebus, turn in re militari potest fortuna. Nam sicut magno accidit casu, ut in ipsum incautum etiam atcjue iinparatum incideret, priusque ejus adventus ab hominibus videretur, quam fama aut 160 LATIN. 35 nuntius afferretur ; sic magnae fuit fortunae omni railitari instrumento,, quod circum se habebat, erepto, rhedis equis- que compreheusis, ipsura effugere mortem. II. 1. Decline hello (4), veteris (o), alius (10). 2. Compare veteris (5), audacius (12), fortius (12). 3. Write the synopsis, active and passive, of agit (1). 4. Parse in full each word in the last two lines of pas- sage d. 5. Give the principal parts of the following: voluisset (4), persequi (4), reminisceretur (4), inferrent (10), aversi (11), insertae {\b) , compn'liPnM {\1) ^ jiraerHmpehantur (18), questus (19), pe^isseni (20), adepti (30), erepto (3G). 6. State the construction of all italicized words. 7. Quote (in full) from the above text an illustration of indirect statement. 8. Convert into direct statement the example quoted in answer to question seventh. LATIN EXERCISES. IGl LATIN EXERCISES. July, 1880. 1. The Helvetians' move- (tlieir) eainp'' from^ this' phicc*"'. 2. Caesar does^ the same'' (thing). 3. Caesar sends-forwarcP alP" (his) cavahy". 4. The cavalry was sent-forward b}'^ Cfiesar. 5. Ciesar will move (his) camp aud'^ send-forward all (his) cavalry. 6. The Helvetians having moved (their) camp'^, Caesar did the same (thing). 7. Caesar said" he would move his camp. 8. (Re-write sentence seventh so as to illustrate direct statement.) 9. The Helvetians say: "The Roman'" people'' is a wit- ness'^" 10. (Re-write sentence ninth so as to illustrate indirect statement.) 1 Helvetius. " facere. 13 que. 2 movere. 8 idem. 1* use subjunctive with quum. 8 castra. 9 praeraittere. 15 dicere. 4 ex. If* omnis. 16 Romanus. 5 is. 11 equitatus. 1" populus. 6 locus. 12 a. 18 testis. September, 1880. 1 . Labienus' fortifies^ the camp'^. 2. The camp is fortified by^ Labienus. 3. Labienus set-out' against" the cnemy^. 4. Labienus ascertained* the design^ of the enemy (plural). 5. Labienus, having ascertained'" the design of the enemy (plural), fortifies (his) camp. 102 LATIX EXERCISES. 6. Labieuus set-out with'" five" coliorts'-. 7. Labieniis saicV^ he would set-out with five cohorts. 8. (Re-write sentence seventh so as to ilhistrate direct statement.) 9. Labienus says: "I will move" the camp at da}'- break'''." 10. (Re-write sentence ninth so as to illustrate indirect statement.) 1 Labieuus. " hostis. i^ cobors. 2 commuuire. ^ cognoscere. ^^ dicere. 8 castra. ^ consilium. i* movere. ■* a. 1" cum. 1* prima lux. 5 proficisci. i^ quiuque. i° use ablative absolute. 6 contra. June, 1881. 1 . The horsemen' of Ariovistus hurl' stones^ and'* darts^ at^ the Romans. 2. Stones and darts are hurled at the Romans by the horse- men of Ariovistus. 3. It was reported' to Caesar (that) the horsemen of Ariovistus were hurling stones and darts at the Romans. 4. (Re- write sentence third so as to illustrate direct state- ment.) f). It was reported to Caesar (that) the horsemen of Ario- vistus had hmled stones and javelins at the Romans. 6. (Re-write sentence fifth so as to illustrate direct state- ment. ) 7. Wlicu^ it JKul been I'cportod to Caesar (that) the horse- men of Ariovistus were luuling stones and javelins at the Romans, he made'-* an end'" of speaking". 1 eques. ^ tolum. ^ facere. 2 conjicere. ^ in. i" finis. * lapis. "i uuntiare. " loqui. ■* que. ^ riiuini, witb subjunctive. LATIN EXERCISES. 103 SeptomlxM-, ISSl. 1. The Ubii' kill- a grout' luinibor^ of the Siievi^ 2. A great iiuiiiher of the Suevi :ire killed by the Ubii. 3. The Ultii pui'sucd" the terrilied' Suevi. 4. The terrilied Suevi were pursued by the Ubii. 5. The Ubii, having pursued the terrified Suevi, killed a great number of them. (). It was reported^ to Cffisar (that) the Ubii had killed a great number of the Suevi. 7. (Re-write sentenee sixth so as to illustrate direct state- ment.) 8. It was reported to Cffisar (that) the Ubii were pursuing the Suevi. 9. (Re-write sentence eighth so as to illustrate direct state- ment.) 1 Ubii. * Humerus. ' Iicrterritus, 2 occidere. 5 Suevi. '^ uuutiare. <* uiayuus. 6 iiisequi. June, 1882. 1. The Helvetians^ send- embassadors'' to'* Dumnorix'. 2. Embassadors are sent to Dumnorix by the Helvetians. 3. The Helvetians were not" able'^ to persuade*^ the Se- quiiui'-'. 4. The Helvetians say'" (tliat) they arc not able to per- suade the Scquani. .0. (Re-write sentenee fourth in such a manner as to illus- trate direct statement.) (!. The Helvetians said: "• AVe are unable to persuade the Sequani." 104 LATIN EXERCISES. 7. (Rc-writc sentence sixth in such a manner as to ilkistrate indirect statement.) 1 Ilulvetins. ^ Duniiiorix. 8 persuadere (governs dative). - mittorc. ^ non. ^ Sequaims. 3 legatus. '' posse. i" diccre. * ad. September, 1882. 1. CiL'sar leads-forth' three" legions'' from' \viutt'r-(Hiarters"'. 2. Three legions are led-forth from \vinter-(ju;iiti'rs l»y Csxisar. 3. Caesar said" he would lead-forth three legions IVoin winter-quarters. 4. (Re-write sentence third in such amauucr as to illustrale direct statement.) T). Ctesar said: "I liave led-forth three legions from winter-quarters." (!. (Re-write sentence fifth in sucli a manner as to illus- trate indirect statement.) 7. CjEsar, having-hastened' into** Italy", led forth three legions from winter-quarters. 1 ediu'cre. * ex. "^ contendere (use pluperf. subj. with rjuio))). 2 tres. ^ hiberna. ^ ju. 3 legio. " dicere. ^ Italia. June, 1883. 1. The envoys' come- to" Cffisar.* 2. The envoys will come to Cnesar. 3. Caesar sends Imck ' tlie envoys imnu'dintely.'' 4. Tlic envoys were iinniediately sent back by Car'' says" (that) the Helvetians have burned four hundred villages. 6. (Rewrite sentence sixth, and substitute direct state- ment.) 7. The Helvetians formed' the plan* of ])ui-ning four hun- dred villages. (Use the gerundive construction.) 8. (Rewrite sentence seventh, and use gerund instead of gerundive.) 9. The Helvetians say they will burn four hundred villages. 10. (Rewrite sentence uinth so as to illustrate direct statement.) 1 Helvetius. 3 quadringenti. ^ Cresar. '' cajiiire. 2 incendere. * vicus. 6 dicere. » consilium. 16G insTOIlY Ol' THE UNITED STATES. HISTORY OF THE UNITED STATES. July, ISSO. 1 . AYhat territory hns the United Statco acquiied by pur- chase? by conquest? by annexation ? 2. State the causes of (1) the French and Iiuhan "War; {■2) the Revohitiouary AVar ; (:]) the War of 1.S12. 3. Arrange the following events in the order in which they occurred, with their dates : Admission of California to the Union, assembling of the first Continental Congress, acquisi- tion of Florida, second election of Monroe, oi)ening of the J-2rie Canal, capture of Atlanta, death of Daniel Webster. -1. What was the Wilmot Proviso? i). AVhat Vice-Presidents were afterward elected Presidents ? 6. Give the names of the opposing political parties in 1800; in 1840; in 18G0. Sppteiuber, 1880. 1. What territory was granted by James I. to the London Company? to the Plymouth Companv? 2. Describe the settlement of Virginia. 3. Arrange the following events in the order in which thoy occurred, with their dates : Surrender of Cornwallis, the admission of \Vest Virginia to the Union, the Wliislcey Re- lieliion. the negotiation of I\'rry's treaty witli .lapan. the .•uloption of tiie Constitiilion. I. \\'li( n ;inil where was I he Confederate ( iovernmciit formed ? ."). W'iiat was tiie Comprt^misc of ix'ii)':' C). What President was impeacheil? What Presidents were elected by thi' Federalist parly? HISTORY OF THE UNITED STATES. 167 July, 1881. 1. Wlieu and wluTc did Ihc Si);uuards make tlieir first permaiiout settlement in North America? the English? the French ? 2. State the causes and the results of the French and Indian War. 3. Arrange the following events in the order in which they occurred, with their dates : Election of John Adams, settle- ment of Georgia, battle of Gettysburg, introduction of slaver}', assembling of the second Continental Congress, opening of the Pacific Raih'oad, annexation of Texas. 4. Sketch the career of Benjamin Franklin ; of Abraham Lincoln. 5. What was the Fugitive Slave Law? G. Who was President in 1803? in LS43? in 1873? September, 1881. 1. Sketch the settlement founded by Roger Williams ; by James Oglethorpe. 2. How were the Colonies governed before the Revolution ? 3. Arrange the following events in the order in which they occurred, with their dates : Impeachment of Andrew Johnson, surrender of Burgoyne, introduction of the Telegraph, Lin- coln's Emancipation Proclamation, l)attle of New Orleans, purchase of Louisiana, death of Washington. 4. Give the names of the o[)posing political parties in 1800 ; in 1868. 5. When was the Constitution adopted? 6. Sketch the administration of Monroe ; Fillmore. 168 HISTOllY OF THE UNITED STATES. Juiio, 1882. 1. Give ill chi-ouoloiiicnl onliM- the following dates : Sottle- montof (leor<>ia, liucon's Ru'l)ellioii, foundation of fSt. Augus- tine, battle of (ic'iinantown, admission of Kentucky, secession of South Carolina. 2. Describe the settlement of Rhode Island. 3. AVhat changes were made in the French possessions in America by the Treaty of Paris ? 4. When did the first Continental Congress meet, and what did it do? 5. What was the Missouri Compromise? f). "Who were the presidential candidates in l.SGO? September, 1882. 1. Give in chronologicnl order the following dates : Battle of riattsl)urg, foundation of Rhode Island Colony, New England Confederation, discovery of the Hudson, admission of Missouri. 2. Describe the Scttlcmi'nt of Georgia. 3. When and how did the United States acquire Louis- iana and Florida? 4. What were the patroons? 5. What is tlie INIonroe doctrine? G. A\''hen and l)y what States was the Soutlicrn Con- fed(!racv formed ? HISTORY OF THE UNITED STATES. 169 June, 1883. 1. Give iu chvonologictil order tlio following dates: La Salle's exploration of the Mis.si.ssip[)i; Battle of the Braud}'- wine ; presidencies of John C^uijicy Adams, Van Buren, Taylor; King Philip's "War; Frobisher's first voyage ; Set- tlement of Jamestown. 2. Describe the settlement of New York, and explain the origin of its name. 3. Show the difference between royal, proprietary, and charter colonies. 4. Give, with their dates, the principal events that led to the revolt of the colonies from the passage of the Stamp Act to the battle of Lexington. 5. What were the Virginia and Kentucky resolutions, and by what were the}^ occasioned ? 6. State the causes and the general results of the Mexican War. September, 1883. 1. Give in chronological order the following dates : Battle of Lundy's Lane ; settlement of IMaryland ; invasion of JNIexico; trials for AVitcheraft at .Salem; presidencies of Polk, Buchanan, Jackson ; emancipation of the slaves. 2. Give an account of the foundation of the Connecticut and New Haven Colonies. 3. When, for what purpose, and on what terms was the New England Confederation formed? 4. Give the date, causes, and results of the French and Indian War. 5. When was the treaty of Ghent made, and what were its provisions? 6. Give an account of the compromise of 1850, and the questions which it was intended to settle. 170 GEOGKAI'UV. GEOGRAPHY. July, 18S(). 1. Bound the State of Mississii)i)i ; ikuik' its largei* cities, and tell how they are situated. 2. Where is the Cape of Ciood Hope ; Cape May ; Cape St. Lucas ; Cape Kaee ? 3. What countries of America border on the Pacilic Ocean ? 4. Where does the River Rhine rise, run, and empty, and what countries does it touch ? 5. Wliat countries of Europe touch the Mediterranean Sea? 6. Where are the following cities: ]Mell>oiniu', ^Milwaukee, Havre, Valparaiso, Cairo? September, 1880. 1. Bound the State of Virginia; wliat are some of its larger cities, and how are they situated? and wliat arc some of the principal rivers in it or on its borders ? 2. AVhat States (of the U.S.) border on the (UiU of Mexico? name them in tlieir order, beginning witli Texas. 3. Where does tlie INIissouri River rise ? describe the direction of its course ; what States and Territories does it pass through or toucli ? 4. Where are the following European cities, and how are they situated : Bremen, Venice, Cologne, Havre, Hamburgh? 5. Where are the Aleutian Islands? the Azores? the Ber- mudas? the Philippines? the Bahamas? 6. Bound British In(b:i. Give the names of some of its principal rivers, mountains, and cities, and tell liow each is situated. GEOGRAPHY. 171 July, 1881. 1. Bound tlio State of Tennosscc ; name two cities in the State, and tell how and where they are situated. 2. What States of tlie United States touch Lake Erie? what large cities are situated on it, and in what States are they? 3. "Where are the Cascade Mountains? what river or rivers break through them ? name some peaks in them ; in what States or Territories are they ? 4. "What is the Torrid Zone? about how many English miles wide is it? name three cities in it, and tell where they are situated. 5. "Where does the River Rhine rise? what direction does it run? where does it empty, and what countries does it touch? G. "Where are the following cities: Baltiraor?, Singapore, Havana, Manilla, Detroit? September, 1881. 1. Bound the State of Missouri; name its largest city, and tell liow it is situated. 2. "What States and Territories of the United States touch British America or the Great Lakes through which the bound- ary runs (name them in their order, beginning with Maine, and passing west) ? 3. Describe the Russian Empire, its position, its capital, its principal rivers. 4. "Where does the River Oronoco I'ise? what is its course? where does it empt}', and what countries does it touch? 5. "Where are the following cities : Glasgow, Bombay, "Valparaiso, Rochester, Bremen? 6. "What countries surround the Mediterranean Sea, and where is each one located ? 172 GEOGRAPHY. June, 1SS2. 1 . r>ound the State of Ohio ; name two cities in it, and tell how the}' are situated. 2. "Where does the Rio Grande River rise? where does it run and empty, and what States and Territories does it touch ? 3. Where is Hindoostan? name two rivers in it, and where the}' rise, which direction they run, and where the}' empty ; name two cities in it, and tell how they are situated. 4. Bound Spain ; what is its capital? name two chains of mountains in it, and tell their situation. 5. "Where are the following islands : Cyprus, Ceylon, Tene- riffe, Trinidad, and Shetland? G. How wide is the North Temperate Zone in English miles ? September, 1882. 1. Bound the State of Georgia; give the names of two cities in it ; of two rivers in it ; and what mountains are in it. 2. "Where are the following cities : Buffalo, Denver, Mil- waukee, Memphis, Louisville, Atlanta? 3. Give the names of three seaports in South America ; tell what counti'y each one is in, and how each is situated. 4. How is the Black Sea hounded? what waters are con- nected with it? name two rivers that em[)ty into it, and tell where they flow from. [). Bound Morocco, and describe its position. G. Where is Lake AVinnipeg? what river runs into it from the United States? what is its outlet, and where does it emptv? GEOGilAPllY. 173 June, 18S3. 1. Bound the State of Colorado; give the names of two rivers in it, and tell where they rise, run, and empty; give the name of one city in it, and tell where it is situated. 2. If we travel due south from Lake Michigan to the Gulf of Mexico, what States would we touch? 3. Bound France ; give the names of two rivers in it, and tell where they rise, run, and empty ; give the names of two cities in it, and tell where they are situated. 4. AVhere are the following cities : Santiago, Salera, Singapore, Sacramento, Sydney, Savannah? 5. What States and Provinces touch Lake Erie? Give the names of three rivers that empty into it, and tell where they come from. 6. Give the names of four seaports in Asia, tell what countries they are in, and how they are situated. September, 1883. 1. Bound the State of Michigan, give the names of two cities in it, and tell where they are situated. 2. If we travel due west from North Carolina to the Pacific Coast, what States and Territories should we touch ? 3. Bound Russia ; what is its capital, and where is it situ- ated ; give the name of one other city in Russia, and tell where it is situated. 4. Where are the following cities : Manchester, Manila, Marseilles, Madrid, Memphis, Minneapolis? 5. What countries of Africa touch the Atlantic Ocean? Give their names in their order from north to south. G. Give the names of four seaports in South America, tell what countries they are in, and how they are situated. 174: ENGLISH GlIAMMAR. ENGLISH GRAMMAR. July, 1S80. 1. Parse the words in the following sentences : — (a) Many were present who had no desire to change. {b) The wages of sin is death. 2. Name the parts of s[)eech, with an illnstrativc example of each one. 3. Inflect throughout the pronouns of the first and second persons. 4. Give the principal parts of the verbs lie, lay, draw, ride, thrive, set, sit, and go. June, 1881. 1. Mention the various classes of pronouns, and give the names of the pronouns belonging to each class. 2. How man}- conjugations of the verb are there, and how are they distinguished ? 3. Parse the following sentence: — The friends, upon whom he had once relied, were now become his bitterest enemies ; in one alone had he not been disappointed. June, 1882. 1. Define noun and verb. 2. Name the relative pronouns. State in reference to what each is used. 3. Give examples of three verbs with their principal parts from each one of the two English conjugations, — tiie old (or strong), and the new (or weak). 4. Parse the following : — I here declare those whom I did accuse Are innocent. 'Tis I alone am guilty. ENGLISH GllAMMAR. 175 Juno, 1883. 1. Define the subject aud theprerf/cate of a sentence. 2. Give the two methods of com ptiriiig- the adjective. 3. State the distinction existing between tlie old (or strong) and the new (or weak) conjugation of the verb, and give three examples of verbs of each conjugation. 4. Parse the words in the following sentence : He, bjT whom the sword of the law is borne, is him- self the law's servant, and not its master. Press of Bcrivkk &y Smith, ii8 Purchase Street. / Books on English Literature. Allen . Arnold . Carpenter Church . Craik . Garnott Introt). Price. Reader's Guide to English History . . . $ .25 Ilistorj^ Topics 25 English Literature 1.50 Anglo-Saxon Grainniar GO Eiigli.sh of tlie XlVth Century UO Stories of the Old World 40 (Classics for Childron.) English of Shakespeare 90 JieownW {Translation) 1.00 Harrison & Sharp : Eeowulf (Text and Glossary) .... 1.12 Hadsou . . . Harvard Edition of Shakespeare: — 20 Vol. Edition. Oloth, retail .... 25.00 10 Vol. Edition, t'luth, retail .... 20.00 Life, Art, and Characters of Shakespeare. 2 vols. Cloth, retail 4.00 New Scliool Sliakespeare. Cloth. 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Ginn Addition labletss t„., . „:„„ o aa I. Large size o.OO llalsted IMensuratiou 1.00 Hardy Quaternions 2.00 Hill Geometry for Beginners 1.00 I*eirce Three and Four-Place Logarithms 40 Tables, chielly to Four Figures 40 Elements of Logarithms 50 Tallies of Integrals 10 Waldo Multiplication and Division Tables : — Folio size 50 Small size 25 Wentworth . . . Elements of Algebra 1.12 Complete Algebra . . . .* 1.40 Plane Geometry 75 Plane and Solid Geometry 1.25 Plane and Solid Geometry and Trigouoraeti-y 1.40 Plane Trigonometry. Paper 30 Plane Trigonometry and Tables. Paper . .GO Plane and Spherical Trigonometry 75 Plane and Spherical Trigonometry, Survey- ing, and Navigation 1.12 Plane and Spherical Trig, and Surveying, with Tables 1.25 Surveying. Paper 25 Trigonometric Formulas 1.00 Wentworth & Hill : Five- Place Log. and Trig. Tables (7 Tables) .50 Five-Place Log. and Trig. Tables (Comp.Ed.) 1.00 Practical Arithmetic 1.00 Examination Manuals. I. Arithmetic . . .35 II. Algebra ... .35 Exercise Manuals. I. Arithmetic .... II. Algebra 70 III. Geometry Wheeler Plane and Spherical Trig, and 'Fables • . . 1.00 Copies sent to Teachers for Examination^ with a view to Introduction^ on receipt of Introduction Price. GINN, HEATH, & CO., Publishers. HOSTOX. NKW YOItK. CIIIC.VGO. LATIN TEXT-BOOKS. 9 1 G'lnn & Heath's Classical Atlas. I5y A. Keith Joiin.stux, LL.D., I'M\.G.S., aided by W. E. Gladstonk, riimo Minister of England. Contains also a (Jeography of the Ancient World, prepared by W. V. Allen of the Univ. of Wisconsin. Bound in full cloth, with guards, similar to Long's Classical Atlas (7^ X 12 inches). Mailing price, ^2.30; Introduction, $2.00. We would call special attention to the binding of the cloth edition. It is mounted on guards, the binding thus costing about twice as much as that of the English edition, and yet we do not increase the price to the purchaser. As a book of this kind is in constant use, the stronger binding very much enhaiices its value. Comprising in Twenty-three Plates, Colored Maps and Plans of all the important countries and localities referred to by Classical Authors. Embodies the results of the most recent investigations. Has a full Index of Places, in which the proper quantities of the syllables are marked by T. Harvey and E. Worsley, M.M.A., Oxon, Classical Masters in Edinburgh Academy. Also containing Allen's Geog- raphy of the Ancient World, which is designed to bring the leading epochs and events of ancient history into connection with the geography of the ancient world. Brief suggestions to teachers are added, to assist in the work of the class-room. "It has the special attraction of Mr. Gladstone's cooperation, who not only placed at the editor's disposal the illustrations to his work on Homer, but enhanced the favor by revising the proof-sheets of the plates and text, as adapted for this Atlas." — Spectator. CONTENTS. Map. 1. Plan of Rome, and Illustrations of Classical Sites. 2. The World as known to the Ancients. 3. Map of the outer Geography of the Odyssey. 4. Orbis Terrarum (et Orb. Homeri, Herodoti, Democriti, Strabor.is, PtoleniDei). 5. Hispania. 6. Gallia. 7. Insulse Britanicae (et Brit. Strabonis, Brit. Ptolemrei, etc.). 8. Germania, Vindelicia, Rhostia, et Noricum. 9. Pannonia, Dacia, Illyricum, Mcesia, Macedonia, et Thracia. 10. Italia Superior et Corsica. 11. Italia Inferior, Sicilia, et Sardinia (et Campania, Syracusoe, Roma). 92 Gl.y.V, HEATH, ^ CO:S PUBLICATIONS. 12. Imperium Romauum (et Imp. Rom. Orient, el Occid.). 13. Ciraicia (et Athena.-, Marathon, ThermopykL-). 14. Peloponnesus, Attica, LiLVolia, Phocis, /Etolia, ct Acarnania. 15. Graecia a Hello Peloponnesiaco, usque ad Philippum II. (et JNIantinet Leuctra, Platnea). 16. Asia Minor (et Campus Trojs, Bosporos, Troas, Ionia, etc.). 17. Syria et Palestina (et Ilierosolyma, etc.). 18. Armenia, Mesopotamia, Babylonia, Assyria (et Iter Xcnophontis). 19. Regnum Alexandri Magni (et Granicus, Issus, Arbela). 20. Persia et India (et India Ptolenian). 21. /Egyptus, Arabia, et /Ethiopia (et /Egyptus Inferior). 22. Africa (et Carthago, Alexandria, Numidia et Africa Propria). 23. Europe, showing the general direction of the Barbarian Inroads during the Decline and Fall of the Roman Empire. Index. Allen's Geography of the Ancient World. Used at Eton, Harrow, Rugby, and other Prominent English Pre- paratory Schools and Academies. Also used and recommended by such Colleges and Preparatory Schools as : — Harvard, Yale, Lafayette, Rutgers, Oberlin, Marietta, Worcester Univ Ohio Wesleyan, Hiram, Pliillips Exeter Academy, Williston Seminary, Trinity, Conn., Trinity, N.C., N. W. University, Wesleyan, 111., Lake Forest, Wisconsin, Beloit, Lavrrence, Wis., Olivet, Hillsdale, Dickinson, W^esleyan, Conn., Princeton, Bates, Grixmell, Colby, Kentucky Univ., Vanderbilt. Phillips Andover Academy, Boston Latin Schools, etc. W. W. Goodwin, Prof, of Greek, Harvard Univ.: It is a most beautiful and highly useful work, and I am glad to see what used to be an expensive luxury brought within the means of all .■Students of the classics. {Dec. 2, iSSo.) Elisha Jones, Assf. Prof, of Latin, Univ. of Mick. : From my cursorv ac- quaintance I have recommended it to our teachers. The map of the Home- ric Geography is a feature not contained in cither of my other atlases, and will aid Homsric students greatly. Tracy Peck, Prof of Latin, Yale Coll. : I have heretofore known the Atlas sufficiently well to feel justified in recommending it to inquiring students. {May g, iSSi.) S. R. Winans, Tutor in Greek, Princeton Coll., N.J.: It is superb: nothing to criticise, and everything to commend. Every student of the clas- sics needs something of the sort, and this is bv all odds the best of its kind- {Oct. 4^ 1880.) 32 GINN, HE A TH, <^ CO:S PUBLIC A TIONS. The Reader's Guide to English History. A classified list of works in English History, including poems, dramas, and works of fiction, arranged by periods, for convenience of reference. With a Supplement, extending the plan over other departments of history, — ancient, modern, European, and American. By William Francis Allkn, A.M., Professor in the University of Wisconsin. Long 8vo. Paper. 50 pages. Mailing Price, 30 cts. ; Introduction, 25 cts. The Supplement can be had separately; Mailing Price, 10 cts. The arrangement is that of four parallel columns upon two oppo- site pages : the first column containing the English sovereigns, in the several houses, in the form of genealogical tables ; the second, good historical reading, whether histories, biographies, or essays ; the third, novels, poems, and dramas illustrating that period of English History, — also, so far as possible, arranged chronologically ; the fourth, the same class of works illustrating contemporary history. F. A. March, Prof, of the English Lang, and Comp. Philology^ Lafayette Coll. : It is a good idea, and will be a useful book. We are all novel readers. H. B. Adams, Associate Prof, of History, Johns Hopkins Univ. : I know something of Professor Allen's histori- cal scholarship, and it is sufficient praise of this little book for handy reference to say that it sustains the author's repu- tation for accuracy, sound judgment, and nice discrimination. (A'cf . 6, '82.) Charles F. Richardson, Prof, of Anglo-Saxon and English, Dartmouth Coll.: The wealth of English historical fiction has not elsewhere been made so evident and so accessible. {Oct. 28, 1882.) George B. Adams, Prof of Hist, and Eng. Lit., fJriiry Coll., Springfield, Afo. : I like the idea of the work very much, and shall take great pleasure in recommending it. {Oct. 7, 1882.) Prom a revieio in " L'Athenceum Beige" (Brussels), by Paul Fr6de- ricq. Prof, in the Univ. of Liige. . . . Un manuel d'histoire d'Angleterre, concu sur un plan vraiment original et seduisant. . . . Je crois en avoir dit assez pour appeler I'attention serieuse de tons ceux qui ^tudient I'histoire d'Angleterre sur ce manuel precieux a la fois pour les specialistes et pour les gens de monde, et dont le plan original et pratique a une saveur tout Anglo- Saxonne. Educational Times, London, Eng.: It seems to include no books that are undesirable, from either a liter- ary or a historical point of view. The result is an extremely agreeable histor- ical hand-book, not merely for children, but for adults. It is not only a novelty, but a useful novelty. {Pei>. i, 1883.) Atlantic Monthly : It is an ad- mirable hand-book, in which tb.e really necessary books and chronological facts are given, to the exclusion of lumber and dead wood. (Dec, 18S2.) New Eng-land Journal of Edu- cation : No one in this countrv is bet- ter qualified than Mr. Allen to prepare such an outline of reading and study on English history. ENGLISH LITER A TURE. 31 Boston Advertiser : Dr. Dies- terweg's observations arc practical and admirably arranged. Much that he writes may wiih propriety and advan- tage be applied to other branches of instruction than history, and few teach- ers could fail to be profited by a peru- sal of his monograph. N. E. Journal of Education: We know of no work so valuable to students and readers of history as this. The N. Y. Examiner: If this book does not meet with a warm le- cepiion from teachers, it will not get its just deserts. No subject is so badly taught in our schools and academies as history, ^either teacher nor pupil dreams that any other method is pos- sible, and accordingly history is cor- dially hated. A thorough study of this book would do much to remedy this defective method, and make the study of history deliglitful to all pupils, and to the teacher first o{ all. The Christian Union : Among those who are applying to educational questions the best experience of the past, and tiie results of exhaustive, conscientious individual thinking, Dr. G. Stanley Hall holds a foremost place ; he brings to the discussion ample knowledge, ripe experience, and a philosophical temper. History Topics, for High Schools and Colleges. Part I. : Dynastic and Territorial History of Ancient and Modern Times. Part H.: History of the United States. With an Introduc- tion upon the Topical Method of Instruction in History. By William Fran'CIS Allen, Professor in the University of Wisconsin. Square l6mo. Paper. 121 pages. Mailing price, 30 cts.; Introduction, 25 cts. A course in general history should leave the student in possession of three things : First, an outline of chronology ; secondly, a knowl- edge of the great decisive events and names of history ; thirdly, some idea of the relation of contemporaneous events to one another at these great epochs, — as we may call them, — histflrical distances, historical emphasis, and syjichronisins. The method here presented, by its strictly chronological arrangement and its selection of special topics, is intended to accomplish the two first of these ends; a syn- chronistic table, carefully drawn up by each member of the class, with strict adherence to chronological proportion, will accomplish the third end, while assisting in the clear exposition of hi.storical distances. The first oi)ject of the topical method is to give prominence to the most important names and events of history, and concentrate the reading of the students upon certain selected ones of these. A second object is to encourage independent research. In an appendix is given a classified list of those books which are considered most serviceable in connection witli tiiis mcthed. 30 GLViV, HEATH, &^ CO.'S rUBLlCATIONS. Methods of Teaching and Studying History. {Tl)/. /., JWdgogitul Lil'rary.) Edited by G. STANLEY Hau., Ph.D., Lecturer on Psycliology and Ethics, and on Pedagogy in Harvard and Johns Hopkins Universities. i2mo. Cloth. Mailing Price, )!5l.3o; Introduction, 3i-20. Part I. is a translation of the Monograph of Diesterweg on His- toriology, regarded by German teachers as the most helpful treatise in all the voluminous literature upon the subject in their language. It discusses the meaning, uses, classes, limits of historical study; the material, manner of arrangement, aids and method of teaching; advantages of the study of different periods, and the best order and way of approach, etc. Part II. consists of independent contributions of the following prominent teachers of history: Prof. Chas. K. Adams, University of Michigan ; Prof. W. F. Allen, University of Wisconsin ; Prof. Herbert B. Adams of Johns Hopkins University; Prof. Richard T. Ely, Johns Hopkins University; Pres. Andrew D. White of Cornell University; Prof. J. W. Burgess of Columbia College, N.Y. ; Ed- ward Atkinson, Mass. Inst, of Technology; and T. W. Higginson, Cambridge, Mass. ; also an article on The Relation of Physical Geography and History ; with a very carefully selected and discrim- inated bibliography by Prof. Allen of Wisconsin University ; and an introduction by the editor. It is thought that this volume will be indispensable to every teacher and student of history in the country. The Nation : The general excel- lence and helpfulness of the book be- fore us ought to secure it many readers. We can heartily recommend it as well to teachers who are conscious of defi- ciencies in their preparation, as to principals and school boards who wish for assistance in laying out courses of study. It contains few details of fact, but an excellent summary and analysis of principles. The American: The volume is certainly an excellent one, and one that ought help to fill a need where a need has been felt, and to create a desire for something better where in- dolence or brainlessness has brought about a perverse satisfaction. The question is whether the proportion of teachers anxious for and capable of something better will outnumber those " who merely hear recitations, keeping the finger on the place in the text- book, and only asking the questions conveniently printed for them in the margin or back of the book." Yale Courant : It would certainly be a most decided improvement on tlie cuf-and-dried text-book recitations that some of us have known. LATIN TEXT-BOOKS. 89 An Etymology of Latin and Greek. With a Prcliiiiiiiary Statement of the New System of Indo-European Phonetics, ami Suggestions in Regard to the Study of Etymology, liy CuAULKS S. Halsi-V, A.M., Principal of Union Classical institute, Schenectady, N.V. i2mo. Cloth. 272 pages. Mailing Price, ^1.25. Introduction, §1.12. The following are the prominent features of the work: — 1. It presents the subject in a systematic form. The general principles and laws of the science are first clearly stated and illus- trated ; then the words are treated in their etymological order. This produces a result far better than can be obtained from the mere study of detached words scattered irregularly through a lexicon. 2. It gives a new and simple plan, presenting side by side for each group of related words the form of the root in Indo-European. Sanskrit, Greek, and Latin, with the meaning of the root. Follow- ing these roots are the most practical Greek words and the mos' practical Latin words, with their meanings. This furnishes a valu- able stock of words associated by the natural bond of their common derivation, each language, too, throwing light upon the other. 3. It presents within moderate compass the results of the lates' investigations of the highest authorities, omitting doubtful etymolo- gies, and is thus at once rigidly scientific and thorougiily practical. 4. It gives great prominence to the derivation of English words, su]:)plying to a large degree tiie place of an English etymology. 5. Being furnished with a complete index for every root and word treated, it can be conveniently used as a work of reference. 6. It presents the entire suljject in a form thoroughly adapted to school use in clas.ses. The study of Etymology, as here presented, may begin with the very outset of the study of Latin, and be con- tinued through the entire course of classical study. It may he pursued with a separate recitation, or in brief portions, in connec- tion with the recitations from the Greek and Litin authors. 7. The present work is the first school-book to set forth in the F.n^g-Iish language the princi])les and the application of the new sys- tem of I.-E. Phonetics. This it does in full, and in a ]iractical and ioveiligibic form. This work may be used without confusion in con- nection with any grammar or lexicon ; and it supplies thoroughly what tliey may lack in the important department of Etymology. UNIVERSITY OF CALIFORNIA LIBRARY Los Angeles This book is DUE on the last date stamped below. 315 LD6314 .3° Siiii'i'lMIl *^- L 009 603 462 4 /^ UC SOUTHERN Rf GIONAL LIBRARY FACILITY AA 001 325 026 1