THE POPULAR EDUCATOR. 



itself, agrees in gender with the noun to which it refers ; but 

 it may differ from it in number [36, (1.)] : 



L'ambition ni la fumde ne tou- 

 client point un coeur comine le 

 mien. J. J. BOUSSEAU. 



Au lieu de explorer la mort des 

 autres, je veux appreiidre de vous 

 a rendre la mienne salute. 



BOSSUET. 



Ma maison est haute, cependaut 

 les lours sont encore plus hautes. 



NMher ambition nor smoke IMVC 

 power on such a heart as mine. 



Instead of bewailing the death of 

 others, I wish to leamfrom you, how 

 to render my own holy. 



My house is high, yet theirs are 

 higher still. 



(2.) The pronouns le nfitre, le vdtre [ 35, (3.)], etc., unlike 

 the adjectives notre, votre, etc., always take the circumflex 

 accent : 



La musique des ancieas Grecs 

 otait tres differente de la notre. 



VOLTAIKB. 



The music of the ancient Greeks 

 was very different from our*. 



(3.) When the English possessive pronouns, mine, thine, etc., 

 come after the verb to be, they are often rendered into French 

 by the indirect pronouns a moi, a toi : 



Ce livre est a moi. 



Ces plumes sont-elles a VOUS ? 



That book is mine. 

 Are these pens yours ? 



104. THE DEMONSTRATIVE PRONOUN. 



(1.) The demonstrative pronouns [ 37] can never be placed 

 before nouns. They merely represent them : 



La meilleure lei, ou est celle des 

 exeinples. LA HARPE. 



N'oublie jamais les bienfaits 

 que tu ns rec, us ; onblie prompte- 

 nu-nt C6UX que tu as accordes. 



BOISTE. 



The best lesson is that of examples. 



Never forget the benefits which 

 than, liaik received; forget quickly 

 those which thou hast conferred. 



^2.) The pronouns celui, celle, ceux, celles, as has been said 

 [ 38, (2.)], are often used absolutely, not only in the nomina- 

 tive, but also in the objective and in the oblique eases. They 

 have then the sense of he who, him whom, of whom ; that which, 

 of which, etc. : 



Celui qui cornpto dix amis, n'eu 

 a pas un. MALESHERBES. 



On ne sanrait forcer celui qui 

 ne vent pas. 



L'harmouie la plus douce est la 

 voix de celle qu'on ainie. 



LA BRUYKRE. 



He who reckons ten friends has 

 not one. 



We cannot compel him who will 

 not. 



The sweetest harmony is the voice 

 of her whom we love. 



(3.) The French use celui, celle, ceux, celles, indifferently 

 for this, that, these, those. When they institute a contrast or a 

 comparison, they add the adverbs* ci (ici) and la to the pro 

 nouns [ 38, (3.)]: 



Corneille nous assujettit a ses 

 caracteres et a ses idees ; E-tciue 

 se conforme aux riotres. Celui- 

 la peint les homines comme ils 

 devraient etre, celui-Ci les peiut 

 tels qu'ils sout. LA BRUYERE. 



Corneille subjects us to his cha- 

 racters and to his ideas ; .Racine 

 conforms himself to ours. That one 

 (the former) paints men as they 

 sliould be, this one (the latter) paints 

 them as they are. 



(4.) Celui-ci, celle-ci, ceux-ci, celles-ci, celui-la, etc., may be 

 used absolutely in French in the sense of this one, that one, 

 etc. : 



On la vit, toutes les semaiues, 

 essuyer les larmes de celui-ci, 

 pourvoir aux besoins de celui-la. 

 FLECHIER. 



Every week, she was seen wiping 

 the tears of this one, providing for 

 the wants of that one. 



* The same adverbs produce the same difference in meaning with 

 the demonstrative adjectives C6, CCt, etc. They are not placed im- 

 mediately after those adjectives, but after the nouns which they deter- 

 mine : cet homme-Ci, this man ; cet homme-la, that man. 



(5.) Ceci and cela are always used absolutely, and have no 

 plural. They serve to point out things only. They can, of 

 course, never be placed before a noun [ 37, (5.)] : 



Taut que le jour est long, il gronde 



entre aes dents, 

 Fais Ceci, fais cela, va, viens, 



monte, descends. REGNARD. 



Je suis uu peu atirpris de tout 

 CCCi. MASSILLON. 



Vous n'avez pu ddsavouer cela. 

 PASCAL. 



The livelong day he mutters be- 

 tween his teetli, do this, do that, go, 

 come, go up, come down. 



I am a little surprised at all this. 



You have not been able to disavow 

 that. 



LESSONS IN ALGEBRA. XXXV. 



ADFECTED QUADRATIC EQUATIONS (continued). 



WE now furnish our students with a set of problems in 

 Adfected Quadratic Equations for practice. 



EXERCISE 66. 



1. To find two numbers whose difference shall be 12, and the 

 sum of their squares 360. 



2. Two persons draw prizes in a lottery, the difference of 

 which is .120, and the greater is to the less as the less to 10. 

 What are the prizes ? 



3. What two numbers are those whose sum is 6, and the sum 

 of their cubes 72 ? 



4. Divide the number 56 into two such parts, that their pro- 

 duct shall be 640. 



5. A gentleman bought a number of pieces of cloth for 675 

 crowns, which he sold again at 48 crowns per piece, and gained 

 by the bargain as much as one piece cost him. What was the 

 number of pieces ? 



6. A and B started together for a place 150 miles distant. 

 A's hourly progress was 3 miles more than B's, and he arrived 

 at his journey's end 8 hours and 20 minutes before B. What 

 was the hourly progress of each ? 



7. The difference of two numbers is 6 ; and if 47 be added to 

 twice the square of the less, it will be equal to the square of the 

 greater. What are the numbers ? 



8. A and B distributed <1,140 each among a certain number 

 of persons. A relieved 40 persons more than B, and B gave to 

 each individual 5 more than A. How many were relieved by 

 A and B ? 



9. Find two numbers whose sum is 10, and the sum of their 

 squares 58. 



10. Several gentlemen made a purchase together for .175. 

 Two of them having withdrawn, the bill was paid by the others, 

 each furnishing ,10 more than would have been his equal share 

 if the bill had been paid by the whole company. What was the 

 number in the company at first ? 



11. A merchant bought several yards of cloth for ,60, out of 

 which he reserved 15 yards, and sold the remainder for ,54, 

 gaining two shillings a yard. How many yards did he buy, and 

 at what price ? 



12. A person bought two cubical stacks of hay for <15, each 

 of which cost as many shillings per solid yard as there were 

 yards in a side of the other, and the greater stood on more 

 ground than the less by 7 square yards. Find the price of each 

 stack. 



13. A gentleman bought two pieces of cloth, the finer of which 

 cost four shillings a yard more than the other. The finer pieco 

 cost <18; but the coarser one, which was two yards longer than 

 the finer, cost only .16. How many yards were there in each 

 piece ; and what was the price of a yard of each ? 



14. A merchant bought 54 gallons of Madeira wine, and :: 

 certain quantity of Teneriffe. For the former he gave half as 

 many shillings by the gallon as there were gallons of Teneriffe, 

 and for the latter four shillings less by the gallon. He sold the 

 mixture at ten shillings by the gallon, and lost ,28 16s. by his 

 bargain. Eequired the price of the Madeira, and the number of 

 gallons of Teneriffe. 



15. A person "being asked his age replied, " If you add the 

 square root of it to half of it, and subtract 12, the remainder 

 will be nothing." What was his age ? 



16. Two casks of wine were purchased for 58 crowns, one of 

 which contained 5 gallons more than the other, and the price by 

 the gallon was 2 crowns less than one-third of the number of 



