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7. Point out the reasons for assuming the radix of the scale of nota

tion as the base of a system of logarithms—and assuming the expansion of log (1 + x), show that

logę (m + 1) = 2 log, m — log. (m—1) — 2 { 2m2

1

3

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(2m3 __ 1)2+ &c. } and calculate log, 2, log, 3, to six places.

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8. The angles under which a fixed distance A B is seen from two stations C and D are each a, having given that CA and B D meet at right angles, and that C D = a, find A B.

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Find 2 cos (0 + + x + &c.)

10. Adapt to logarithmic computation the formula,

P = (1 + 1)(1 + ɛ2) (1 + ε3) &c.

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JUNIOR SCHOLARSHIP QUESTIONS.

In accordance with the new regulations on the subject, the questions in the various branches of study contained in the junior scholarship course, were set by the officers of the different Colleges, and the members of the Local Committee, each for the Institution under their respective charge.

They are too numerous to print. The general instructions issued upon the subject were, that the standard of study was to be strictly adhered to, and the questions asked such as could reasonably be answered in the time fixed.

LIBRARY MEDAL EXAMINATION.

Kishnaghur College.

Questions on Hallam's 1st vol. of the Middle Ages of Europe.

1. What was the state of Europe after the fall of the Roman Empire?

2. Who was Clovis ?-at what time did he appear?-and what conquests did he make?

3. How was his kingdom divided after his death, and what was the result?

4. Who were Pepin, Heristal, and Charles Martel ?

5. Who was Pepin the 2nd and what authority did he assume?

6. Who was Charlemagne ?—what conquests did he make?—and

what new dignity did he acquire?

7. What was the feudal law when was it introduced?

8. What was the Salic law?

9. Who was Charles the Fat, and what was produced by his deposition?

10. What the state of Italy after the deposition of Charles the Fat? 11. After the deposition of Charles the Fat, what changes took place in Germany?

12.

Give some account of the Guelph and Ghibeline factions?

13. What was the state of Spain and what alteration took place in that Country?

G

14. Give some account of the rise of Mahammodanism and the cause of its success.

15. Give a short account of the rise and progress of the Ecclesias

tical power.

16. What king of England invaded France, claiming a right to the throne of that Country?

17. Who were Louis the XI. and the Duke of Burgundy? Give the character of each and the general result of their contest.

18. Who was Hugh Capet and how long did his family continue to rule France ?

19. Give an account of the misfortunes that fell upon Constantinople.

20. Give an account of the rise and progress of the Crusades.

21. Who was Rollo, and what settlement did he obtain in France?

Dacca College.

1. Enumerate the most celebrated of the contemporaries of Charles V. mentioning for what they were distinguished.

2. Describe the personal characters of Charles V., Henry VIII., Luther, Leo X.

3. Of the Illustrious men of that æra, which have most influenced the succeeding ages?

4. What was the state of the Arts, of Science, of Religion, and of Morals at that period?

ANSWERS

OF THE

MOST PROFICIENT STUDENTS

IN THE

Presidency and Mofussil Colleges.

ANSWER S.

Library Medal.

Dacca College.

Answer 1st.-The Era of Charles V., has been rendered famous by the five greatest Monarchs of the World, who then ruled the destiny of Europe, Asia, Africa, and the Americas then lately discovered. Leo the X. in Italy; Henry the VIII. in England; Charles the V. in Germany; Francis the first in France; and Salyman the Ottoman Porte of Constantinopole, lived in the same age, and have sent down their names to posterity woven together and inseparable. In reading the life of any one of these great men we are forced to extend our inquiry and peruse the lives of the rest; for it is utterly impracticable for a reader to have a thorough knowledge of the reign of Charles the fifth, and yet be ignorant of the events that happened in England, in France, in Italy, and in the Ottoman Empire under Henry, Francis, Leo and Salyman. The names we have just enumerated are so strongly and intimately linked together that to mention one of them is to raise the idea of the other four in our mind.

The names of Ceasar and Pompey; of Napoleon and Wellington; of Fredrick and Charles; of William and Mary are not more closely associated with one another as those of Charles and Henry; Henry and Francis, Leo and Charles, or Charles and Salyman. In short we find the Emperor, the Pontiff, the Porte and the rulers of France and England in the same History, and almost all over in the same page.

Leo the Tenth sprang from the illustrious family of the Medici. While yet in his teens he was created a Cardinal, and so it was truly said of him that he was never a child. When he had scarcely passed his thirtieth year he was called upon to wear the tripple crown and rule the patrimony of St. Peter. Not shrinking from the task, he bravely mounted the papal throne and as he had the expulsion of the French and the Foreigners from Italy for his great object, he joined the cause of the Emperor. He soon after, under a pretence, proclaimed war against France, and through the instrumentality of Charles he had the satisfaction of seeing the re-union of Parma and Placentia to the Church, and a few hours before he had to close for ever his mortal career and all worldly pomp, he heard the happy news that Lantree, the French general, had left Italy totally annihilated. Thus died Leo in the arms of Glory, with a firm, but vain conviction, that henceforth Milan will be ruled by an Italian. During his pontificate sciences and arts flourished, learning was encouraged, and learned men repaired from all sides to Rome. The Pontiff himself was a man of great and varied talents. In his reign Luther first rose in the defence of reformation, and it was Leo's unsettled policy that allowed Luther to become in time that formidable enemy which he soon after proved.

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