70 



THE POPULAR EDUCATOR. 



We might have written down the process thus : 



35)9298(200 



7000 







35)2298(60 

 2100 



35) 198(5 

 175 



23 



The quotient is therefore 200 + 60 + 5, or 265, and the 

 remainder 23. 



9. The above explanations will sufficiently elucidate the 

 following 



Rules for Division : 



(1.) When the divisor contains only one figure, write the 

 divisor on the left of the dividend, with a curved line between 

 them. Beginning at the left hand, divide successively each 

 .-figure of the dividend by the divisor, and place each quotient 

 /figure directly under the figure divided. If there be a remainder 

 after dividing any figure, prefix it to the next figure of the 

 . lividend, and divide the number so formed as before. If there 



occur any figure which does not contain the divisor, place a 

 jipher in the quotient, and prefix this figure to the next one of 

 the dividend, as if it were a remainder, and proceed in the same 

 manner to the last figure. 



(2.) When the divisor contains more than one figure, beginning 

 on the left of the dividend, find how many times the divisor is 

 contained in the first fewest figures of the dividend which will 

 contain it, and place the quotient figure on the right hand of the 

 dividend, with a curved line between them ; then multiply the 

 divisor by this figure, and subtract the product from the figures 

 divided. To the right of the remainder bring down the next 

 figure of the dividend, and divide the number so formed as 

 before. If this number be less than the divisor, annex a cipher 

 to the quotient, and bring down the next figure continuing this 

 process until the number thus obtained be equal to or greater 

 than the divisor. Proceed in this manner until all the figures 

 of the dividend are exhausted. 



10. Tests of Correctness of Division : 



(I.) Multiply the divisor by the quotient, and add the re- 

 mainder to the product. This should, as already explained, give 

 the dividend. 



(2.) Subtract the remainder, if any, from the dividend, and 

 divide the difference so obtained by the quotient. The result 



should be equal to the divisor, if the working be correct. 



EXERCISE 9. 



(1.) Divide 47839 by 42 ; 75043 by 52 ; and 93840 by 63. 



(-2.) Divide 325000 by 85 ; 421645 bv 74 ; and 999999 by 47. 



f 3.) Divide 145260 by 1345 ; and 1912500 by 425. 

 I,.) Divide 8893810 by 37846 ; and 9302688 by 14356. 



\5.) Divide 9749320 by 365 ; 65358547823 by 2789 ; and 

 908070605040 by 65-4321. 



(6.) Divide 10000000000000000 by 111 ; 100000000000 by 

 3?,3 ; and 10000000000000000 by 11111. 



(7.) Divide the product of 12345 multiplied by 67890 by 97, 

 113, 4351, 59, 847, and 6939. 



LESSONS IN LATIN. III. 



PRELIMINARY INSTRUCTIONS IN THE VERBS OF THE FOUR 



CONJUGATIONS (continued) . 



SECOND CONJUGATION. 

 ACTIVE VOICE. PASSIVE VOICfc. 



PRESENT INDICATIVE. 

 PERSON-ENDINGS. 



Singular. Plural. 



-nn, I -emus, we 



-s, thou -Ms, ye 



PRESENT INDICATIVE. 

 PERSON-ENDINGS,. 



Singular. Plural, 



-ear, I -emur, we 



-rfij, thou -emini, ye 



-et, 



he 



-ent, they. 



-etur, he 



-entur, they. 



. Monera. to remind: stem. won. 



PEESENT ACTIVE INDICATIVE. 



Singular. 



1st per. MonJo, J remind 

 2nd Montis, thou remindest 

 3rd Mon?t, he reminds. 



Plural. 



1st per. Monemus, ice remind 

 2nd Monelis, you remind 

 3rd Monent, they remind. 



VOCABULARY. 



MordCo, 2 1 bite. 

 MovSo, 2 I move. 

 ParSo, 2 I obey. 

 Tac?o, 2 I am silent. 



PEESENT PASSIVE INDICATIVE. 



Singular. 



1st per. Mon?or, I am reminded 

 2nd Moneris, thou art reminded 

 3rd Monttur, he is reminded. 



Plural. 



1st per. Monnnnr, u-e are reminded 

 2nd Mon^mmi, you are reminded 

 3rd Monantur, they are reminded 



I owe. 

 J teach. 



Deb5o, 2 

 DocPo, 2 



ExercSo, 2 I exercise. 

 FlorPo, 2 I flourish. 

 Jaudfio, 2 I rejoice. 



Terr5o,2 Ifrighttn. 



Timeo, 2 I fear. 



Et (conj.) and. 



Si (conj.) if. 

 Teneo, 2 I hold. 



EXERCISE 5. LATIN-ENGLISH. 



1. Debes. 2. Doeet. 3. Exerce"tur. 4. Flor^mua. 5. Gaude'tj*. 

 6. Mordentur. 7. MoviSmus. 8. Movdtis. 9. Movent. 10. Time.?,. 

 11. Timet. 12. Terr^tur. 13. Terremini. 14. Debeo pardre. 15. Si 

 mretis laudanuni. 16. Si tacemus lauddmur. 17. Doce'ris et edu- 



caris. 18. Tacent et laudantnr. 19. Mordeor et viilneror. 20. i'.i 



vulueras vituperaria. 21. Tenentur. 



EXERCISE 6. ENGLISH-LATIN. 



1. Thou fearest and art frightened. 2. If I am silent I am blamed. 

 3. He rejoices. 4. We rejoiee. 5. They rejoice. 6. He tries to bite. 



We try to educate. 8. Thou obeyest and art praised. 9. We bite. 

 .0. If we bite we are blamed. 11. They exercise. 12. You are moved. 

 .3. He dances. 14. They are delighted. 15. You are adorned. 



N.B. In this exercise, and in those which follow, words and 

 :orms previously given are repeated for the sake of practice. 



ACTIVE VOICE. 



PRESENT INDICATIVE. 

 PERSON-ENDINGS. 



Singular. Plural, 



-o, ! -Imus, we 



-is, thou -ilis, ye 



-it, he -vmt, they. 



THIRD CONJUGATION. 



PASSIVE VOICE. 



PRESENT INDICATIVE. 



PERSON-ENDINGS. 



Singular. Phtra',. 



-or, I -fmur, -we 



-iris, thou -twini, ye 



-Uur, he -tintur, they. 



EXAMPLE. Regere, to rule or guide : stem, reg. 



PRESENT ACTIVE INDICATIVE. 



PRESENT PASSIVE INDICATIVE. 



Singular. 



Regor, I am ruled 

 Regtris, thou art ruled 

 R^gttur, lie is ruled. 



Plural. 



RegTmur, we are ruled 

 RegTmini, you are ruled 

 Keguntur, they are ruled. 



VOCABULARY. 



EXERCISE 7. LATIN-ENGLISH. 



1. Fallis. 2. Fallitur. 3. Fallimur. 4. Fallo et vituperor. 5. 

 Cedit v fi. Legis. 7. Scribit. 8. Bene legit. 9. Valde fallis. 10. Si 

 dili.situr gaudet. 11. Pungimur. 12. Vincis. 13. Viuclrmir. 14. Viu- 

 cuntur. 15. Decidit. 16. Occidis. 17. Si occldis vituperuri... 

 18. Bene uiouet. 19. Male educaris. 20. Movemur valde. 21. Sil- 

 tamus et gaudemus. 22. Laeditur. 23. LaedimYui. 21. DefemlitU 

 25. Defenduntur. 26. Diligor. 



EXERCISE 8. ENGLISH-LATIN. 



1. I obey. 2. If I obey I am loved. 3. He is loved much. 4. Ha 

 writes well. 5. They paint ill. 6. They dance well. 7. I rejoice if lu 

 reads much. 8. Thou paintest. 9. They obey and are praised. 10. 

 If you rule well you are lored. 11. They defend. 12. You are defended. 

 13. He is deceived. 14. They are pricked. 



FOURTH CONJUGATION. 

 ACTIVE VOICE. PASSIVE VOICE. 



EXAMPLE. Audire, to hear : stem. ' 



