LESSONS IN ALGEBRA. 



155 



Perfect Future, or Third Future. Tense-stem A-Au-<r-. 

 ./. 1. \t-\u-ffonai, I shall have been looted. 

 (Like the Indicative Present) 



SUBJUNCTIVE MOOD. 



Aorist. Tense-stem \v-0-. Perfect. Tense-stem At-Aw-. 



Sing. 1. Av0-a>, I may have been A-Av-/*<i/os, -a>, I may have 



looted, etc. been loosed, etc, 



2. Au-0-p*. 



3. \v-0-ri. 



\v-6-i)Tov. A-Au-^ca), - 



3. AI/-8-7JTOI'. Ae-Aic/Mfw, -TjToi'. 



'.'in-. 1. Au-0-ai,uj'. 

 J. \u-0-rjrt. 

 3. Au-0-axn. 



Second -4ori*$. Tense-stem T/0-. 



Sinj. 1. rpift-u, I may be rubbed. 



(Like the Subjunctive First Aorist Passive.) 



OPTATIVE MOOD. 



First Future. Tense-stem \v-0rt-ff-. 



Sing. 1. \v-0n-ff-ot/j.Tiv, I would be loosed. 



(Like the Optative Imperfect Middle.) 



Second Aorist. Tense-stem rptft-. 



Sing. 1. rpt&-tnr]v, I would be rubbed. 



(Like the Optative First Aorist Passive.) 



Second Future. Tense-stem rptH-ij-s-. 

 Sing. 1. Tpi/3-7;.cr-oi/ir;i', I would be rubbed. 

 (Like the Optative First Future Passive.) 



Perfect Future, or Third Future. Tense-stem \t-\v-f-. 



Sing. 1. \f-\v- ff-oifj.rjt>, I would have been loosed. 



(Like the Optative Imperfect.) 



IMPERATIVE MOOD. 



?int Aorist. Tense-stem \v-0-. Perfect. Tense-stem A-Au-. 



>in<7. 2. Au-0-TjTi, be thou loosed, \(-\v-<ro. 



3. \u-9-rjT(a. [etc. \t-\v-ff9o). 



Dual. 2. Au-fl-T/rov. \t-\v-ff9ov.* 



3. \v-0-riTtav. \t-\v-ffOvv.* 



I'lur. 2. Au-0-7jTe. \-\v-ff0f* -<r<W.* 



8. \v-0-nruffav. \e-\v-ff9taffai', commonly 



Second Aorist. Tenso-stom rpiB-t]. 



Sing. 1. Tpi0-r)-9t, be tliou rubbed. 



(Like the Imperative First Aorist Passive.) 



INFINITIVE MOOD. 



First Aorist. \v-0-ijvai, to have been loosed. 



First Future. \v-0f]-ff-fff9at, to be about to be loosed. 



Second Aorist. rpifl-i)i>ai, to have been rubbed. 



Second Future. rpi&-i)-fffff0cu, to be about to be rubbed. 



Perfect. \f-\v-ff9cu, to have been loosed. 



Perfect Future, or \f-\v-ff-fff8ai, to be about to be loosed. 

 Third Future. 



PARTICIPLES. 



First Aorixt. \v-8-tts, having been loosed. 



First Future. \\t-6i\-a-opfvos, being about to be loosed. 



Second Aorist. rptfi-ds, having been rubbed. 



Second Future. rpi0-ri-<r-on(vos, being about to be rubbed. 



Perfect. Ae-Au-^t yos, having been loosed. 



Perfect Future, or \t-\v-<r-onti>os, being about to be loosed. 

 Third Future. 



VERBAL AJDJBOCTTM. 

 Ai/rot, looted. \vrtot, one who ought to be looted. 



EXKHCISB 78. GBKEK.ENOLIIK. 



1. Erp07j. 2. 1>i/3j7. 3. Tp<0nji. 4. Tpi/in. 5- Av* 

 6. Aw0v. 7. \u9rfrtt. 6. \vOi}va.i. 9. Ai/07j<roni>of. 10. Tpt, 

 /STJI/W. 11. Tptfri<ro}itvot. 12. EAudijf. 13. EAi/flijTi 

 Aw0Tj<rj?. 15. Au0w>tc. 16. Av0ii)/iv. 17. Ai/fori. 18. Aui. 

 19, \v9i\fftffOtu. 20. Tpi/3if. 21. TPK^TJ^TW. 22. AAi/weu. 

 23. EAAu/ir)i/. 24. AAu<ro^eu. 25. AAt/rou. 26. EAcAvrro. 

 27. AtAv/udw ITJ. 



EXERCISE 79. ENGLISH-GREEK. 



1. He was loosed. 2. He may have boon loosed. 3. He might 

 have been loosed. 4. He shall be rubbed. 5. They shall be 

 loosed. 6. He was rubbed. 7. I have been loosed. 8. Thou 

 mayest have been loosed. 9. They shall have been loosed. 



Of the participles in the middle and passive voice, those 

 which end in or (nn>ot) are declined like ayoOot, -TJ, -or. Of 

 those which end in tit, take the following as a model : 



DECLENSION OF \j6ftt, \u8uffa, \v9ff, looted. 



Singular. 



MASC. ran. svr. 



Nom. \v0ttt, \v6ttffa, \v8ty. 



Gen. \v6ftnos, Au0<T7jr, \vOtrrot. 



Dat. \vQfim, \vOftirri, \vOtvrt. 



Ace. \v0firra, \v6fiffav, \u9iv. 



Dual. 



Nom. and Ace. \v9tvrt, \vOtura, At/9trr. 



Oen. and Dat. \vdtvroiv, \v&ti<rcuy, KvQtrrour. 



Plural. 



Nom. \v6frrfs, \v0ftffat, \v0frra. 



Gen. \vQfVTwv, \v8ftcruv, KvQtvrwv. 



Dat. \v0tt<ri, \v0tiffcus, \v9dffi. 



Ace. \v0frras, \v9ttffas, KvQwTa, 



PERSONAL ENDINGS OF THE MIDDLE VOICE. 



PRINCIPAL TENSES. HISTORICAL TEX3E9. 



ltPr. 2nd Pert. 3rd Per* lit Pen. 2nd Pert. 3rd Pen, 



Sing, -uat, -<rai, -rat. -M1''> < ro r - 



Dual. -nf0oi>, -ffOov, -ffQov. -(itOor, -<rOor, -irtfijr. 



Plur. -/xtfla, -ffOf, -yrau. -utOa, -ff0, -rro. 



KEY TO EXEBCI3ES IN LESSONS IN GREEK. IXVT. 



EXERCISE 74. GREEK-ENGLISH. 



1. Loosing. 2. To be about to loose. 3. He is loosing. 4. I haro 

 loosed. 5. I had loosed. 6. I shall loose. 7. Ye two would loose. 

 8. Thou wouldest loose. 9. Let him loose. 10. Loose ye. 11. I wms 

 loosing. 12. He shall loose. 13. We are loosing. 14. Ye two were 

 loosing. 15. I might loose. 16. I loosed. 17. He has loosed. 18. 

 He loosed. 19. I might have loosed. 20. Loose thou. 21. Let them 

 two loose (aor.). 22. Having loosed. 23. I mar hare loosed. 24. 

 Thou hast loosed. 25. They had loosed. 26. They loosed. 27. They 

 have loosed. 28. Ye might have loosed. 29. Thou mayest hare loosed. 

 30. Thou hast appeared. 31. Thou didst leave. 32. Thou marest 

 have left. 33. Thou mightest have left. 34. Let him leave. 35. Hav- 

 ing left. 36. To have appeared. 37. Thou hadst appeared. 33. Us 

 might have appeared. 39. He might loose. 40. They might loose. 



EXERCISE 75. ENGLISH-GREEK. 



1. Dt^riva. 2. E\iir(Tr|v. 3. Aeiiroi. 4. A<IWOIT. 5. Avovfi. 6. AM**U 

 7. \voiev. 8. Allaire. 9. Aue. 10. AVOVTMV. 11. AeXwia. 12. AwrT. 13. 

 \vaaai. 14. Au<r<ic. 15. Aixiv. 16. Aixrciv. 17. Av<rwi>. 18. Airtrac. 19. 

 A..;;. 20. EXXi-KCiTi>. 21. Avoirnr. 22. Avqroy. 23. Hf nwwrc. 24. 

 yarov. 25. l\tq>rivc. 



LESSONS IN ALGEBRA. XVL 



SOLUTION OP PROBLEMS. 



170. For the solution of problems in Simple Equations, we 

 derive from the preceding principles the following general rule : 



BULB. 1. Translate the statement of the question from the 

 ordinary language into algebraic language, in such a manner at 

 to form an equation ; that is, put the question into the form of an 

 equation, 



2. Clear the equation of fractions by multiplying every ttrm in 

 both members by all the denominators successively, or by their 

 least common multiple. 



3. Transpose all the terms containing the unJtnoum quantity to 



