LKSSONS IN LATIN. 



21 



tho mnullur cask. Bcquired tho number of gallons in 

 , ami tin- price by the gallon. 



17. If th M|uaro of a curtain number be taken from 40, and 

 :iaro root of this (liflVn-niv \- incn-asi-d \>y \(i, and tho 

 -inn In' multiplied l>.v -', and tho product divided by the number 

 it -It", Mm imotii-nt will be 4. What is the number P 



V portion bought a certain number of oxen for 80 guinea**. 

 If he had received 4 more oxen for the same money, he would 

 have paid one guinea less for each. Find tho number of oxen. 



I'.'. It is required to divide 24 into two Huch parts that their 

 product shall bo equal to 35 times their difference. 



Ji). Tin- Hum of two numbers is GO, and their product is to the 

 sum of their squares as 2 to 5. What are the numbers ? 



-1. Divide 146 into two such parts, that the difference of 

 their square roots may be 6. 



J'J. What two numbers are those whose difference is 16 and 

 their product 36 ? 



23. Find two fractions whose sum shall be JJ, and the sum of 

 their reciprocals 6 times as much. 



'J i. Required to find two numbers whoso difference is 15, and 

 half of their product is equal to | of the cube of the less 

 number. 



25. A company incurred a bill of JJ8 8s. One of them 

 absconded before it was paid, and in consequence those who 

 remained had to pay four shillings apiece more than their just 

 share. How many were there in the company ? 



26. A gentleman bequeathed 7 4a. to his grandchildren ; 

 but before the money was distributed two more were added to 

 their number, and consequently the former received one shilling 

 apiece less than they otherwise would have done. How many 

 grandchildren did he leave ? 



27. The length added to the breadth of a rectangular room 

 makes 42 feet, and the room contains 432 square feet. Eequired 

 the length and breadth. 



28. A says to B, " The product of our years is 120 ; and if I 

 were 3 years younger, and you were 2 years older, the product 

 of our ages would still be 120." How old was each ? 



29. Should the square of a certain number be taken from 89, 

 and tho square root of their difference be increased by 12, and 

 the sum multiplied by 4, and the product divided by the number 

 itself, the quotient will be 8. What is the number ? 



30. A mason laid 105 rods of wall, and on reflection found 

 that if he had laid 2 rods less per day, he would have been 6 

 days longer in accomplishing the job. How many rods did he 

 build per day ? 



31. Tho length of a gentleman's garden exceeded its breadth 

 by 5 rods. It cost him 3 crowns per rod to fence it ; and the 

 whole number of crowns which the fence cost was equal to the 

 number of square rods in the garden. What were its length 

 and breadth ? 



32. What number is that, which being added to its square 

 root will make 156 ? 



33. The circumference of a grass plot is 48 yards, and its 

 area is equal to 35 times the difference of its length and breadth. 

 What are its length and breadth ? 



34. A gentleman purchased a building plot, and in tho centre 

 of it erected a house 54 feet long and 36 feet wide, which 

 covered just one-half his land. This arrangement left him a 

 flower-border of uniform width all round his house. What was 

 the width of his border, what the length and breadth of his plot, 

 and how much land did he buy ? 



35. A general wished to arrange his army, which consisted of 

 20,886 men, in a solid body, so that each rank should exceed 

 each file by 59 men. How many must he place in rank and file ? 



36. A man has a painting 18 inches long, and 12 inches wide, 

 which he orders the cabinet-maker to put into a frame of 

 uniform width, and to have the area of the frame equal to that 

 of the painting. Of what width will the frame be ? 



37. A man having to walk 54 miles, finds that if he increases 

 his speed half a mile per hour, he will perform his task 1 ^ hours 

 sooner than if he walked at his usual rate. Find that rate. 



38. A merchant sold a quantity of goods for .39, and gained 

 aa much per cent, as the goods cost him. How much did he 

 pay for the goods ? 



39. Suppose in a garden, 400 feet long and 300 feet broad, 

 there is a walk 10 feet wide all round the garden, equidistant 

 from and parallel to the wall, and that it divides the garden 

 into two equal parts .- that is, the area betwixt the wall and 



walk is the name aa the are* within the walk. Required th 

 breadth of the upaoe between the wall and the walk. 



40. A and B started from two cities 247 miles apart, and 

 travelled the name road till they met. A's progress was 1 mile 

 per day leu than B's, and the number of days before they met 

 waa greater by 3 than the number of miles B went per day. 

 How many miles did each travel ? 



41. Two persona, A and B, invest .2,000 in business. A's 

 money remained in trade 17 months, and he received 1,710 for 

 his share of the profit and stock ; B's money was in trade 12 

 months, and he received 1,040 for his share of the profit and 

 stock. What waa each partner's stock ? 



42. A merchant bought a piece of cloth for 162 florins ; the 

 number of shillings which he paid per yard was J of the number 

 of yards. Required the length of the cloth, and the price per 

 yard. 



43. There was a cask containing 20 gallons of wine; a 

 quantity of this was drawn off and put into another cask of 

 equal size, and then this last was filled with water ; and after- 

 wards the first cask was filled with the mixture from the second. 

 It appears that if 6] gallons are now drawn from the first and 

 put into the second, there will bo equal quantities of wine in 

 each cask. How much wine was first drawn off ? 



44. A man bought 80 Ibs. of pepper and 100 Ibs. of ginger 

 for .65, at such prices that he obtained 60 Ibs. more of ginger 

 for .20 than he did of pepper for .10. What did he pay per 

 pound for each ? 



LESSONS IN LATIN. LIL 



GOVERNMENT BY VERBS. 

 A VERB may govern a noun ; for example 

 Amo tilium, I lore a son. 



Here the noun filium is dependent on the verb atno ; by the 

 force of the verb atno, the nominative form, filius, is changed 

 into filium, the accusative form, or the form of the object. 



With the noun, one pronoun or more may be connected ; 

 also one adjective or more ; in which case the pronoun and the 

 adjective will be in the same gender, number, and case as the- 

 noun, presenting an instance of concord or agreement ; as 

 Amo filium mcum miuorem natu, J lovi my younger ton. 



Instead of a noun, the object of a verb may be a pronoun ; aa 

 Amo te, I love the. 



All verbs do not govern nouns. In general, the verbs which 

 govern nouns are transitive verbs in the active voice. Intransi- 

 tive verbs, inasmuch as their action does not pasa over to an 

 object, do not govern nouns. 



In the examples just given, the nouns, etc., are in th 

 accusative case. Verbs govern nouns in other cases. Th.* 

 noun, when governed by a verb, is said to be the object of 

 the verb. The object of a verb may be a noun, a noun and 

 adjective or participle, or a pronoun. The object of a verb 

 thus explained may be in either of these cases, namely, the 



