LESSONS IN A I. 



107 



VBULART. 

 Ma.rtu.uv, -Of, gen. ' Eotti, I allow, pci lint. 



-ofoj, iin'XjH'ri- 'EAxof, -out, TO, a 



encod, unskilful. wound ( Lat. ulcut, 

 AKO/UOI, I heal. Kug ulcer). 



AKo\ou0u> (with larpoT, -ou, o, a phy- 



chit.), I follow, I sician. [sonable. 



come after. Kaipioi, -a, ov, sea- 



AfAu0*pio, -at, 7; (a Ko<rju*w, I adorn. 



privative and - ' Krao/uai, I gain, ao- 



aKtSwp, -ovot, 



Macedonian. 



6, a 



oTf, never 

 (with the imper. 

 and the nubj. aor. 

 used impera- 

 tively). 

 ()8i/(T(Ti/j, -aif, 4, 



Ulysses. 



Ai/0pof, free, ' quire; KHCTijftai, I rif vtxpos, -a, -or, poor 

 generous ; Latin, possess. iiwinjAoj, -TJ, of, 



<i/si, illihii. Aiyytoj, -a, o>v, elo- silent. 

 rality (Lat. illilif- quent (eloquent is 2<f>oAAa>, I trip up, I 

 fas), penuri- from loquor, I make totter. 

 ness, sordid speak, as Aoyiot "tyow, I elevate, 

 spirit. is from \oyos). I XTJ/>OW, I bereave. 



EXERCISE 109. GREEK-ENGLISH. 



1. Of irtpi AcwviSoy rpiaxoffioi yt wattes /jtaxofitvot trf^.turijTav. 

 2. FIoAAovt Kama's wpinromat upBwfft TI/X'?- 3. 5<J>aAAfi tKioui 



Kpii'fir o5aT)^o'as acSpas faoyt. 6. 'O iroiijTTji TOX AoyiaiToroc 

 O8i/iTiT*a iriaijrjjAiiraTOf Tr7ro(77ci/. 7. Of 070601 avSpts irarpiSa 



KOT^iTOVtTIV. 8. IloAAoi, KfKTr/fJitVOl fifV TToAAa, Of XP a)l/Ta ' ^ c 



i> roir oSotj. 10. Of tar pot ra l\Krj aKtcrovratt. 11. 'H ^AwTra 

 fftyijv KCttptav KfKTr}fj.fvr\ icat ytpotm KCU vita Ttftrjv iptpn. 12. 



REMARKS. 



Of irtpt AfoiviSof, lit., those around Leonidas ; which moans, 

 Leonidas and his warriors. 



2<f>aAAf t. Take tho words in this order : vvxn T^aAAei ci- 

 rovs, etc. 



EXERCISE 110. ENGLISH-GREEK. 



1. Tho good love and honour the good. 2. The noblo youths 

 will follow virtue. 3. Alexander, the king of tho Macedonians, 

 conquered (aorist) Darius, tho king of the Persians. 4. The 

 citizens accounted the general worthy of groat honour. 5. The 

 war has bereaved the city of many citizens. 6. The enemy 

 were conquered (aor. pass.). 7. The physicians healed the 

 wound. 8. No one will gain praise by enjoyments. 9. All 

 things have been well ended. 



KEY TO EXERCISES IN LESSONS IN GREEK. XXXV. 



EXERCISE 97. GREEK-ENGLISH. 



1. Appearances often deceive the mind. 2. Let not gain conquer 

 thee. 3. I love virtue. 4. Often even a wicked man conquers a good 

 man. 5. Good men love virtue. 6. Many men die in the flower of 

 their age. 7. Either be silent, or speak better things. 8. It is neces- 

 sary for all men to die. 9. The mind sees and the mind hears. 10. 

 Let us rush bravely against the enemy, soldiers. 11. Many eat before 

 they are hungry, and drink before they are thirsty. 12. Fortune is no 

 ally to the idle (those who do nothing). 13. Pericles was thundering 

 and lightning, and putting Greece into confusion. 14. Would that all 

 children would love their parents. 



EXERCISE 98. ENGLISH-GREEK. 



1. Efairarijif. 2. Efairaro.. 3. Efrirrara. 4. EfarrafBTOiy. 5. Efaira- 

 T<TI. 6. Ewiciiiv. 7. EHKVV. 8. 'O c-TpaTirror viKp iran-ar rour woXtfiiovt. 

 9. Ihu.u. 10. Anl/une*. 11. llctvaxri. 12. O> a-i'^u-ixo: ireitaxri. 13. 

 Acrtpairrj. 14. BpovT?. 15. Tun iroXm ovvcHvKa*. 16. Oi a-fatfoi iraMec rout 

 yOKtut a-,airaxri. 17. 'O air Ttiv jUrjrepa a-fairtp. 18. !i> wafTar a^airpr. 19. 

 txeaoi ae opaxri. 



EXERCISE 99. GREEK-ENGLISH. 



1. A wicked man is unblest, even though he be fortunate. 2. The 

 best life is if you conquer your mind. 3. It is more becoming to be 

 silent than to speak. 4. Think that God sees whatever you do. 5. A 

 friend labouring with a friend labours for himself. 6. Let not mortal 

 men think above the gods. 7. Let not him who is especially pros- 

 perous be haughty. 8. One who is in misfortune should never despair, 

 but expect better things. 9. God assists him who labours. 10. Prac- 

 tise justice in word and deed. 



EXERCISE 100. ENGLISH-GREEK. 



1. At'ffTwx". 2. U nvxovfiv. 3. Ei/ri'X' 1 

 ATvxfir. 5. Kpurei TUI/ Cu;ioi>. 6. 4><\oi 



av0pii)iror irrtp tfturc tppnittrui. 8. AtVuovaif orav naKut Kf 

 Atfv.ueit. 10. AOv/iti. 11. 'O iraic TO o-wua nuclei. 17. Tow TH 

 aaKouvrur ewaivet 6 aodtor. 



\\' o ,, tviaiftovoviTiv. 4. 

 (rvjuirovaviri. 7. Mr) tfrjTOf 



EZBBCIMK 101. UUBKK.EKOLUH. 



1. True bMMity, whih UkM iU oaro* from divii* *num*tm, 

 neither toil nor hunger, nor any noglcct (on th DIM hand), aor tin* (on 

 the other) wutM away. 2. Friendships (i.e., frindi) seek to AMUaikU 

 hablU. 3. You could hardly mak your j.ra.ic qtial to tb< 

 of tho food. 4. O boy, emulate rood and prudent men. &. Fortuu* 

 often reetorec tho*e who are in evil plight. 6. A multitude of trouble* 

 darken* the life of man. 7. Let young men strive after wisdom. 



EXERCISE 102. ENOLIHH-GKEKK. 



1. AMfifpoir TO aftvot. 2. A/iavpo< TO f0t*o*. 3. OS wa<*>r Ta 

 fnTon*. 4. '<> irXovrot avtffMMrovr TV^XOI. 5. HAn4*o TOT <u 



6. KA<i>0poi-<r( Tovt wiuiai. 7. H\tv9tpo*i vo vartpa a<XMaXvT*. ft T**r 

 x ovr iroAiTav opOoi. 9. 'II a/icAta TOV ftto TOOT aronro T^X. 10. 

 KTI^XOI/TH* TOVT ^<Aovr. 



EXERCIHB 103. GREEK-ENGLISH. 



1. When you are unable to use your wealth, in what respect do yo>i 

 differ from a poor man ? 2. A kind word heals sorrow. 3. All mortal < 

 are pleased by being honoured. 4. Men contrive many things, o. H 

 is happy who has means with prudence, for he uses them well for their 

 proper objects. 6. The good man is honoured by all. 7. The courier* 

 did not use ssndsls on their journeys. 



EXBRCIHE 104. ENGLISH-GREEK. 



1. llxpou. 2. IlKpowfTu. 3. Htcpoaro. 4. Axpoarai. 5. Mrtxanuroi. 9. 

 KjKixamifTo. 7. Xparui. 8. Xav0at>. 9. XpMirrai. 10. EXP. 11. EjpaTo. 

 12. Expuxro. 13. Adi/kareir TIJ <rt; ouauf ffoifiaf Tu>tya9at. 14. M jxafxoj 4<rir 

 oi TJJ of<Tiu <ra<pat \puvrat. 



EXERCISE 105. GREEK-EKQLISH. 



1. Make the good man a companion. 2. It behoves the strong man 

 to be gentle, that his neighbours may reverence rather than fear 

 him. 3. Tattlers are disbelieved, even though they may speak the 

 tnith. 4. The Persians were hated and despised by the Greeks, o 

 He who does no wrong needs no law. 6. Troy was besieged by the 

 Greeks for ten years. 7. Let no one fear death, the end of evils. 



EXERCISE 106. ENGLISH-GREEK. 



1. Mn oTa0popiTe aXAiiXouc. 2. Ai<rroi-ra<. 3. Kara^poMir T<m 

 Kaxovr. 4. Kara^povuv icaTC^povciTO. 5. A<5ixi. 6. Oi aiixtnnmi aAtxorvr i. 



7. <to(3ourrai Oavarov, airo\uaiv xanMV. 8. Oi iroXcai 

 iraXtopiotTat. 9. AXr)0evov<rii'. 



LESSONS IN ALGEBRA. - XXVIIL 



EVOLUTION. 



The process of resolving quantities into equal factors is called 

 evolution. 



In subtraction, a quantity is resolved into two parts. 



In dimsion, a quantity is resolved into Uoo factor*. 



In evolution, a quantity is resolved into equal factors. 



Evolution is the opposite of involution. The former is finding 

 a power of a quantity, by multiplying it into itself. The latter 

 is finding a roof, by resolving a quantity into equal factors. A 

 quantity is resolved into any number of equal factors, by divid- 

 ing its index into as many equal parts. 



From the foregoing principles we deduce the following 



GENERAL RULE FOR EVOLUTION. 



Divide the index of the quantity by the number erpreiring the 

 root to be found. Or, 



Place the radical sign belonging to the required root over the 

 given quantity. 



If tho quantities have co-efficients, the root of these must be 

 extracted and placed before the radical sign or quantity. Thus, 



To find the square root of d 4 , divide the index 4 by 2 ; .., 



4 f 



d 5 = d-. So the cube root of J* is tl s = (T. 



06s. From the manner of performing evolution it is evident 

 that the plan of denoting roots by /rational indices is derived 

 from the mode of expressing powers by integral indices. 



EXAMPLES. 



Eeqnired the cube root of a*. Ans. Va* = a* = a. 

 Kequired the cube root of a or a 1 . .4ns. a', or V- 

 a^ X a^, or \/a X 



For 



X = 



The rule in the preceding article may be applied to every 

 in evolution. But when the quantity whose root is to be found 

 is composed of several factors, there will frequently be an ad- 

 vantage in taking the root of each of the factors separately. 



