13

H.—l6.

2. Translate— ay B', w t6v aiirvv oipavov BL(j>pqXaTu>v, <re B', £> (fiaevvrj? r)p.€pa<; to vvv creA.as, "HAte, rrarpwo-v Tr)v lfj.r]V orav y(66va koI toy Sicppevrr/v "HA.ioi' trpoatwartti, L&rjS, iTncry^iiv xpvcrovoirov y\vlav, Tro.vvmo.Tov Si), kovttot' avdis vo-Tepov. ayyuXov aras to.'s ifids /xopov T e/xov 3) (ptyyos, 2> y^rji lepbv otKeias ireSov yepovTi warpX, rrj Te Sucrnyva) TpocjxS. %aXafxl,vos, S> Trarpwov eorias fiaßpov, r] ttov rdXaiva, Trjvo" orav kXvjj tf>aTiv, KXavai r 'AOrjvai, koI to o~vvTpo<f>ov yeVos, Tjcrei jxiyav kiukvtov iv irdo-r] iroXu. Kprjvai. Te, irorap.oi 6' oi'Se, koI to. Tpdy'iKa dXX ovSkv epyov tclvto. 9pr/veio-&ai /juxTqv' TreSia TrpocravSo), -^alper, fi> rpofprjs i/xoi' oXX. dpKTeov to irpayj^a o~vv ra^et TivL tovO vjxiv Atas rot>7ros vo~TaTov Opotl' u> ®dvaTe, Oayare, vvv fx kiriaK^ai fioXwv' ra 8' aW iv "AiSov rots Karco \xuQ-t](rop.a,i, Kairoi o~k jjLev kcxko. TrpocrauS^tra £vvo>v. 3. Scan five verses, beginning with & (j>eyyo<s. 4. Parse fully the following words : —eTrtcr^cov, ayyaXov, kXvyj, yo-ei, OprjveicrOai, imcr/cof/cu, jxoXwv. 5. Decline—atTris ovpavo's, ycpusv Trwr^p, avvTpo<f>ov yeVos, Bt<^>peuT^s "HAxos. 6. Translate—■ aKove vvv. toy avBpa tovBc, Trpos Oewv, ovkovv a.TLfi,do~aijx ay, wore fj.7] Aeyeiv IJ.rj tXijs oßomtov ZsS dva.\y!)Tii)<; f3a\uv' 'iv' dvBp tSeiv apio-Tov 'Apyeiwv, o<joi IJ.r)B° 7/ /3ta ere p.rjBa/j.Zs FtKijcrarco Tpoiav dcpiKo/Jieo-Oa, TrXrjv 'A^tAXecos. rocroi/oe jiio'ziv, wctc ttjv oikjjv Traretv. S>o~T ovi< ay ivBiKois y o,Ti[id£,OLT6 crot. ko.jj.ol yap rjv ttoß' ovto<s e)(6icrTO<s o~Tpa.TOV, oi yap ti tovtov, aXkix roys Beow vo/xovs e^ ov 'KpaTfjaa t&v 'A^tA.XetW ottXuiV <f>6£ipoi<s ay. avSpa 8' oi StKaiov, ci 6dvoi, aKX avTov e'jiiTras ovt iyih towvB' ifwl fiXdirruv toy icr6X6v, oi&' iav fiiaCiv Kvprjs. 7. Write notes on the moods and tenses of —tAijs, fiaktiv, vtKr/o-arw, drt/xao-ai/ii, tSav, acpiKOfieo-Oa ari/xatoLTo. FRENCH. 1. Translate — La Prance offrait alors un dcs spectacles les plus curieus dans l'liistoiro morale dcs peuples. La lassitude dv crime avait amene dcs lois plus douces. Une sorte de treve avait suspendu les vengeances civiles; dans cet intervalle, l'ordre social essayait de renaitre. Ses maux s'oubliaient rapidement; on se hatait d'esperer, et de se confler au sol tremblant de la Prance. Une joie frivole et tumultueuse s'etait emparee dcs ames, comine par I'etonnement d'avoir survecu ; et Ton celebrait dcs fetes sur les ruines. Ainsi, dans les campagnes ravagees par la Vesuve, quand le torrent de flamtne a dotruit les ouvrages et les habitations dcs homines, bientot la securite succede au peril, on se reunit", on se rapproche, et Ton batit de nouvelles demeures avec les laves refroidies dv volcan. —Viilemain. 2. Give first person, singular and plural, of the present arid imperfect indicative, and of the present and preterite subjunctive, of boire, cueillir, fuir, mouvoir, prendre, resoudre, suivre, vivre. 3. Write plural and meaning of bijou, cheval, regal, travail, trou, voice. 4. Translate— (a.) Both are hungry. (5.) The street is a mile and a half long and sixty-six feet wide. (c.) My father and mother have just gone out. 5. Write a note of invitation in French to a friend, asking him to come and spend the evening at your house, to meet a few friends and have a little music. TEIGONOMETET. 1. Define accurately the sine, secant, and cotangent of an angle. How does the idea of an angle as understood in Trigonometry differ from that employed in Euclid ? 2. What is meant by the circular measure of an angle ? What is the value in degrees of the unit of circular measure, and why is an angle given in terms of that unit sometimes said to be expressed in arc ? 3. Find formula to express Cos A and Sig Am terms of Cos. 2A. How are we to determine the sign to be given to the radical in these formulae ? 4. Prove that—(i.) Sin 7A Siu 3A=Sin S5A—Sin 22A. (ii.)TanSA+Cot3A= 2J^W^). Tan a2A. And, when A + B + C = 90°, (iii.) Tan A Tan B + Tan B Tan C + Tan C Tan A. = 1. 5. Show that Sin -4 + Cot- 13=45°. 6. Prove that, in any triangle, the sides are proportional to the sines of the opposite angles. Hence find a formula, adapted to logarithmic computation, for obtaining any one of the sides when each of the angles and the perimeter (2p.) of the triangle are given. _■ TC ' , ,'.,,, ~, v,, , f Sin 30° 17' 15" X Cos 48° 26' 51" ,„„,,.„ 7. Find (with log. tables) the value of ~ ■ x 40-3176. JL Sill. 19 OJI ±Ji 8. Solve the triangle A = 35° 57' 29"; B = 43° 14' 46"; b = 57695 feet. 9. An observer on the bank of a river of unknown breadth measures the angle of elevation of the top of a building on the opposite bank, and finds it to bo 30°. He then measures a base of 100 } rards in the continuation of the horizontal line joining the foot of the building with his first point of observation. At the end of this base-line the building subtends an angle of 15°. What is the height of the building, and the breadth of the river ?