of the barometer is 30 inches, find the weight of a cubic foot at 10° C., the height of the barometer being 28 inches. (Coefficient of expansion=273) 8. If P be the pressure of a gas at temperature t and volume v, find its pressure at temperature t' and volume v1. 9. Describe Hawksbee's Air Pump. If h be the height of the barometer, and an the height of the mer. cury in the barometer gauge after a strokes of the piston, prove that: xn2 = h (2xn — X2n). 1= 10. Describe Nicholson's Hydrometer. When a piece of marble weighing 3.78 oz. is placed in the upper cup, a weight 2.3 oz. is required to sink the hydrometer to a given depth in water; and when the marble is placed in the lower cup, a weight 3.7 oz. is required. Find the specific gravity of marble. DYNAMICS AND ASTRONOMY. 1. State and explain Newton's second law of motion. Two constant forces of 8 and 12 lbs., inclined at an angle of 60o, act horizontally on a mass weighing 50 lbs. resting on a smooth plane. Find the direction and amount of the acceleration of the mass. 2. Explain fully what is meant by the terms action and reaction. State and explain Newton's third law of motion, and illustrate it by the two following cases: (a) a body falling towards the earth under the action of gravity; (b) a man firing off a gun. 3. Prove that when a given mass moves under the action of a constant force, the increase of the square of the velocity in any given time is equal to twice the product of the acceleration and the space described. 4. Describe the theory of Attwood's machine, and explain briefly how it is used to verify the laws of motion. 5. Find the time of descent of a heavy particle down an inclined plane, length h and inclination e, if it starts with velocity v. 6. Describe the different methods used in astronomy for defining the position of celestial objects. 7. Describe briefly the transit instrument, and state what are the errors of adjustment to which it is liable. 8. Define a true solar day, and a mean solar day. From what causes does the difference between them arise? What is meant by the equation of time? Prove that it vanishes four times during the course of the year. 9. Explain why the planets do not always appear to us to move in the same direction among the fixed stars. Draw a figure showing the positions of a planet when it is stationary. 10. Describe the general nature of the moon's path relative to the earth and to the sun. Explain how a lunar eclipse is caused, and account for its being sometimes partial and sometimes total. State whether the eastern or western portion of the moon's disc is first darkened in a total eclipse. 11. How can it be determined whether the axis of the earth points in a fixed direction or not. If it moves, describe fully the general character of its motion. 1. Translate LATIN POETRY. Si quid, Fusce, vacas adhuc amari, Tu tantum inspice, qui novus paratur, (a.) What is the meaning of vaco with a dative, as in vacare studiis ? (b.) Give the genitive and dative of unus. have the same terininations in these cases ? What other words (c.) Give the compounds of sum with their meanings. What case do they govern? What is peculiar in the conjugation of prosum ? (d.) Derive Sodalis. Distinguish the two plurals of locus. (e.) Conjugate fieri in the Subjunctive, 2. Translate: Quæ nunc divitibus gens acceptissima nostris, Et quos præcipue fugiam, properabo fateri, Nec pudor obstabit. Non possum ferre, Quirites, Et linguam, et mores, et cum tibicine chordas Hic alta Sicyone, ast hic Amydone relicta, Hic Andro, ille Samo, hic Trallibus, aut Alabandis, (a.) Parse fully the words italicised. (b.) Examine the different opinions as to the origin of the name Quirites. (c.) Where were the various places mentioned above? Helleborum frustra, quum jam cutis ægra tumebit, Utile nummus habet ? patriæ, carisque propinquis Quantum elargiri deceat? (a.) Who was Craterus? (b.) Form sentences to illustrate the constructions of opus est. (c) Account for the dative cases in the above. 4. Translate and explain : (a.) Magnus . . . . Auruncæ . . . alumnus. (c.) Hæc ego non credam Venusina digna lucerna. (g) Quinta linea tangitur umbra. (h) Quum primum pavido custos mihi purpura cessit, Bullaque succinctis Laribus donata pependit. (i.) Vindicta postquam meus a prætore recessi, Cur mihi non liceat, jussit quodcunque voluntas, Give an account of the various ways in which the release of a slave from slavery might be effected by his master. 5. Describe the state of morals at Rome as presented in the satires of Persius and Juvenal. 6. What was the relation of Clientela, and what duties did it involve? Quote any passages from Juvenal bearing on the workings of the Clientela in his time. 7. Define quantity, and show its importance in Latin Prosody. What is meant by the natural and what by the positional quantity of syllables? Scan the first four lines under 2, marking the quantity of each syllable? 8. Arrange in hexameters the following: Quamvis confusus amici veteris digressu, tamen laudo, quod destinet figere sedem vacuis Cumis, atque donare unum civem Sibyllæ. Baiarum janua est, et gratum secessus amoni littus. Ego vel Prochytam Suburræ præpono. LATIN PROSE. Examiner-DR. A. F. HOERNLE. 1. Nec deerat Otho, protendens manus, adorare vulgum, jacere oscula, et omnia serviliter pro dominatione. Postquam universa classicorum legio sacramentum ejus accepit, fidens viribus et, quos adhuc singulos exstimulaverat, accendendos in commune ratus, pro vallo castrorum ita cœpit: Quis ad vos processerim, commilitones, dicere non possum ; quia nec privatum me vocare sustineo, princeps a vobis nominatus, nec principem alio imperante. Vestrum quoque nomen in incerto erit, donec dubitabitur, imperatorem populi Romani in castris an hostem habeatis. Auditisne, ut poena mea et supplicium vestrum simul postulentur ? adeo manifestum est, neque perire nos neque salvos esse nisi una posse. Et cujus lenitatis est Galba, jam fortasse promisit, ut qui nullo exposcente, tot millia innocentissimorum militum trucidaverit. Horror animum subit, quotiens recordor feralem introitum et hanc solam Galbæ victoriam, cum in oculis urbis decumari debitos juberet, quos deprecantes in fidem acceperat. a. Translate this passage accurately. b. Turn the oratio directa into oratio obliqua. C. Enumerate and explain the various ways in which a sentence dependent on dubito or non dubito may be constructed, illustrating each of them by a short (latin) example. d. Jacere: what are the intransitive and frequentative forms of this verb? Mention some other frequentatives formed similarly, and explain their mode of formation. e. Explain accurately the meaning and derivation of classicorum, sustineo, princeps, supplicium, una, manifestum, fortasse, feralem, introitum, decumari. Mention some other varieties in which the form fortasse appears. f. Account for the use of ut in auditisne ut postulentur, and in ut trucidaverit, and of cæpit. State the various meanings of pro, giving Latin examples. 2. Quartum Idus Januarias, foedum imbribus diem,, tonitrua et fulgura et coelestes minæ ultra solitum turbaverant. Observatum id antiquitus comitiis dirimendis non terruit Galbam, quominus in castra pergeret, contemtorem talium, ut fortuitorum; seu quæ fato manent, quamvis significata, non vitarentur. Apud frequentem militum concionem, imperatoria brevitate, adoptari a se Pisonem, more divi Augusti et exemplo militari quo vir virum legeret, pronuntiat; ac ne dissimulata seditio in majus crederetur, ultro asseverat, quartam et duoetvicesimam legiones, paucis seditionis auctoribus, non ultra verba et voces errasse, et brevi in officio fore. Nec ullum orationi aut lenocinium addit aut pretium; tribuni tamen centurionesque et proximi militum grata auditu respondent; per ceteros mostitia ac silentium tanquam usurpatam etiam in pace donativi necessitatem bello perdidissent. Constat, potuisse conciliari animos quantulacunque parci senis liberalitate; nocuit antiquus rigor et nimia severitas; cui jam pares non sumus. a. Translate this passage accurately. b. Which day is the quartum Idus Januarias according to our reckoning. Explain the Roman mode of reckoning time. c. Write a note of historical explanation on more dioi Augusti et exemplo militari, and explain the meaning of the phrases in majus crederetur and brevi in officio fore; how would simulata seditio differ from dissimulata seditio? d. Account grammatically for the use of the subjunctive vitarentur. 3. Write out in Latin a short summary of the events narrated in the 1st book of Tacitus' histories. 4. It was a hideous and horrible sight. Not forty days had passed since the battle, and there lay mangled (lacer) corpses, severed limbs, the putrefying forms of men and horses. Not less revolting was that portion of the road which the people of Cremona had strewn with laurel-leaves and roses, and on which they had raised altars and sacrificed victims as if to greet some barbarous despot. Some, indeed, there were, whom all this moved to thoughts of the mutability of fortune, to pity, and to tears. Translate this into Latin. 1. SANSKRIT. Examiner—PUNDIT MAHES CHANDRA NYATRATNA. यथाह वर्णी विदितो महेश्वर स्तदर्थिनी त्वं पुनरेव वर्त्तसे च्यमङ्गलाभ्यासरतिं विचिन्त्य तं तवानुष्टत्तिं न च कर्तुमुत्सहे ॥ (a.) Justify or impugn the use of शाह in the above. (b.) Give in Sanskrit the substance of what the tells Párvati in censure of Siva, and also Parvati's reply. 2. Quote passages from the Kumárasambhava to show that females used to be educated in Kálidasa's time, and that Hindu fathers had no objection to defer the marriage of their daughters till they attained to womanhood. 3. (1) तामर्चिताभ्यः कुलदेवताभ्यः कुलप्रतिष्ठां प्रणमय्य मासा | (2.) तं लोकपालाः पुरुहूतमुख्याः स्तद्दर्शिताः प्राञ्जलयः प्रणेमुः ॥ (a.) Explain why कुलदेवताभ्यः in the first sloka is in the dative, while in the second is in the accusative, case, governed, as both are, by verbs derived from नम. (b.) Account for the use of the accusative in the first sloka. (c.) Who are the Kuladivatás and Lokapálas? (d.) Give the characteristics of a H according to the Hindu sastras. (e) Give the meaning of प्रतिष्ठा in कुलप्रतिष्ठा. 4. तां प्रणामादरखस्तजाम्नदवतंसकाम् । r |