THE POPULAE EDUCATOK. 



Uebcr WaS fink @ie fo bofe? At what are you so angry ? 



3d; fyabe ervn Si. co'rigeS Satyr I have become acquainted with 



Icnnen gctcrnt'. Mr. K. (during) the past year. 



SBotten @ie mid; in kiefe efett'fd;aft Will you introduce me to this 



etn'fuljren ? company ? 



3d; will ie mcinen Sefann'tcn or' I will introduce you to my ac- 



ftellcn. quaintances. 



3d; toift @ic mit meincn Srcunken I will make you acquainted 



befannt' mactyen. with my friends. 



SRetn ^Setter petite ken tfatfer cor. My cousin represented (perso- 

 nated) the emperor, 



ein 33ruker fteflte tnir cor, tap eS His brother represented to me 



unrecfjt fei. that it was wrong. 



EXERCISE 148. 



1. @ ift mir ltd), kap id) ie tyicr antreffe ; icf; fyabe Stynen 2Birf;tige8 

 tnitjutljeilen. 2. ( tft mir lieb, ie fo wofyl ju fcfyen. 3. ware mir 

 lieb, te bafb wicker ju fefyen. 4. r ifi bofe itbcr kaS SBetragen fetneS 

 Steffen. 5. Crr ifl bofe iibcr fcaS 2luSblcibcn fetncS ofyneS. 6. ie tft 

 befe fiber fief; felbft. 7. !er Sreunfc tear bofe auf mid;, aber id; tyabe ilm 

 wicker befanfttgt. 8. !Dte Gutter ifl bofe auf il;r eigenftnntge Mim. 9. 

 3d; bin bofe auf ifm, Weil er mid; bcleifctgt tyat. 10. Stnnm ie crrn 

 SI. ? 11. 3a, id; b,be ifm lcte SBocbe in kern $aufe 3b,rer grau ante 

 fennen geternt. 12. 3d; lerne ifjn mtt jekem Sage mcfjr fennen. 13. 

 2JJan ternt Sefcermann el;cr fennen, aW ftd; felbft. 14. 3Q3o fink ie mit 

 ticfcm J?crrn befannt geworben? 15. 2Btr fennen un son Sugenb auf, 

 imk lerncn un3 mit jcfccm Sage mefor fennen. 16. .ilcnnen ie Srau 

 kin S3.? 17. Sftein, abcr id; fyoffe nod; mit ib,r befannt ju werben. 18. 

 >tcfcr SDfann Wtrb burd; fcinc trcffucb.cn 2Bcvfe ba(k befannt werben. 19. 

 err 3^. ftellte mid; kiefer Santilic sor. 20. gr wurke fcer cfefJfcbaft 

 fcurd; fcinen Skufccr corgcftellt. 21. !DaS 2leupcre kicfeS aanne flellt 

 nicf;tS or. 22. >tefer cbaufrieler ftcllte Jtart XII. cor. 23. S)urd; 

 wen nntrkcn ie eingefiifirt ? 24. 3d; cerkanfe (Sect. XLIII. 6) ttcfe 

 f;re ker 9ltd;te fcc reidjcn Jtaufmannc*. 25. 2)er Sreunk fu(;rte micf; in 

 kte efe((fd;aft ein. 26. 35er Sran^ofe fut;rte ktefe neue QKoke ein. 27. 

 JDer ct;mugg(er fu^rt cerbotene 2Daaren ein. 



EXERCISE 149. 



1. It would be very agreeable to me if you could leave mo to 

 myself. 2. It was very satisfactory to me to see my brother 

 well. 3. I am very glad to hear that your undertaking has suc- 

 ceeded. 4. He is angry at the conduct of his brother. 5. My 

 brother introduced me to Mr. G. 6. Has your sister already 

 become acquainted with my brother ? 7. Yes, she became ac- 

 quainted with him at the last concert. 8. Do you know why 

 your brother is so angry ? 9. He is angry at me, because I 

 laughed at him. 10. The actor personated Henry IV. very well. 

 11. That government has introduced good laws. 12. This 

 fashion has been introduced by the French. 13. The import of 

 wine from France is very great. 



orderly life. 9. But I remind you of his actions in the last war, ot 

 which he may justly boast. 10. Eejoice at his acquittal, and vouchsafe 

 him your friendship. 11. Do not scoff at him because he was in tho 

 dungeon, but rather pity him and think of his sufferings. 12. Let 

 every one who laughs at him be ashamed of his own behaviour." 13. 

 All present rejoiced at this speech, and they instantaneously released 

 the accused man of his fetters. 14. Teach us thy way, O Lord ! and 

 deprive us not of thy grace. 15. I intend to visit a watering-place 

 next summer. 16. I cannot by any means be of opinion that one 

 should not indulge in reposa after dinner. 17. He who rejoices at 

 life should also remember death. 18. When General Tilly had con- 

 quered the town of Magdeburg, he laughed at the supplicants who be- 

 sought him to commiserate them. 



EXERCISE 97 (Vol. II., page 95). 



1. 3n frufyeren 3citen fonntcn fcie Seute nidjt lefen, ciet weniger fcfjretben 

 2. 3d; bin S&McnS, tm nacfjftcn ommer kte SBatcr ^ombuvg unt> 

 fiaubacf; 511 bcfud;en. 3. 2US Sutnng 9PI;Uiw, -iliinig kcr Sranjofen, feinent 

 Xfyrone entfagt tyatte, ging er mit fciner ganjen gamine nad> Gnatanb. 4. 

 (Sinige Jvontge fjabcn tocnig Urfactye, ftd; ifyrer Sfcgtcrur.g w rut;men. 5. 

 JMfer .Ravi V. entfagte feincr Jtrcne unk ging in ein Atoftar. 6. ge 

 5temt eincm QJJanne bcffcr, auf fcine ^ankfungcn auftnetffam 511 fctn, al8 fid; 

 fciner 5s()tgfeiten ju riifymen. 7. 3d; toevte mid; fitter meiner efd;aftc 

 enttekigen, unb ein ru(;igc8 Ccben gentcfkn. 8. @r freute fief; kcr 

 grcifpred;ung ker ltnfd;ulktgen, unk witrkigte fte fccr grojj ten 8vcunk[d;aft, 9, 

 !Dte gcinke fturmten kie takt, unk laefjten ker 8(etjcnkcn, weld;e fie baten,, 

 fid; tf^rer ju crbarmen. 



EXERCISE 98 (Vol. II., page 118). 



1. The old Saxons abjured their gods after Charles the Great 

 had completely vanquished them. 2. Whilst he foreswore this deed 

 with a false oath, he denied the immortality of the soul. 3. Hia 

 wickedness is perceptible in his eyes. 4. I have not given up the 

 hope of again seeing my relations. 5. I had ordered my servant 

 to call me as soon as you came. 6. When 1 heard myself called, I 

 turned back immediately. 7. If I were to imitate you, I should soon 

 have no more money. 8. It has often happened to him already, that 

 he looked for his spectacles and had them upon his nose. 9. The Idng 

 passes through this town to-day. 10. Steer thy ship through the 

 raging waves, courageous pilot. 11. A judicious father checks the rude 

 behaviour of his children in time. 12. I seldom have money, but 

 always debts ; I wish I only knew how to check this inconvenience. 

 13. For what does it profit a man if he gain the whole world and lose 

 his own soul ? 14. His strength assisted (him) to endure these suffer- 

 ings. 15. The cock tasted of the dishes. 1C. It cost me liberty and 

 fatherland. 17. It cost him his first-born son. 18. He assured me of 

 the truth of this circumstance. 19. They secured the thief. 20. One 

 should seek to imitate good manners. 



KEY TO EXERCISES IN LESSONS IN GERMAN. 

 EXERCISE 95 (Vol. II., page 94). 



1. 3d; fcf;mcid;te mir, bap" te micf; mtt ctnem SBefucf; bcefjren toerken. 

 2. @r toitrke mir gennp fdjafcen, n>enn er mir bctfommen fonnte. 3. >cr 

 tern kcr offnung teudjtct kcm 2ftenfd;en fetbfl in fccr kufterften Srtactyt. 4. 

 3d; tocrbe meinem Svettnke betftcfyen fur bie ^ulfe, wetdje er mir geleiftet 

 $at. 5. >er Scorer tyat mir gcfagt, cr fct mit feinen @cf;u(ern jufriekcn ; 

 fte feien ffeijng, unk famen alien feinen 28unfd;cn jutior. 6. 3d; fenne 

 feinen, toelcfyer ken Setkenfcfyaften 2lnfccrer fo fct;mctd;clt, al er. 7. G'8 

 Wdre ju wunfcf;cn, fcap" Sekermann ken Slrmen bcifteljen mod;te. 8. 

 @d;meicfj(e fccincn .Kinfccrn ntcljt ju uiet. 9. 9cavohon fammclte kie beflen 

 fcner encrale um ftcb. 10. SRad;tcm cr fcenfclben fetn SSorfyaben 'mtt 

 getf;ertt f)atte, erbote^ fte ftd; ifym bei}uilet;cn. 11. @r traute feiner 

 etgencn OJlacf;t, ubcrjog uropa mtt fetnfcltcljen Sruppen, unk trofcte jefcer 

 efaf;r. 12. ctner eigencn 2Tieinttng nact;it>ar fetne Oftacfyt unumfd;ranft, 

 unb er oefcacljte ntd;t ber cfjwterigfetten, wctd)e tt;n umgaben. 



EXERCISE 96 (Vol. II., page 95). 



1. I suppose you still remember the young man who was accused 

 of robbery last year. 2. He was accused of having robbed a rich 

 cattle-dealer of his money on the highway. 3. But they could not 

 convict him of this crime. 4. He had already given up all hope of an 

 acquittal, and abandoned the idea of being declared innocent. 5. 

 The judge, however, relieved him of all anxiety. 6. After he had 

 told the accused man to be of good heart and cast away all sorrow, he 

 eaicl, " I am fully of opinion that they cannot charge this young man 

 with the robbery. 7. For it is not every one who is ashamed of beg- 

 ging, and destitute of all means, that becomes a robber. 8. I can 

 speak highly of his behaviour, for he has always been addicted to an 



MECHANICS. III. 



FORCES APPLIED TO A SINGLE POINT PARALLELOGRAM 

 OF FORCES, ETC. 



FROM the principles stated in our second lesson, it is evident 

 that in order to ascertain when three forces applied to a point 

 are in equilibrium, it is necessary first to discover what the 

 resultant of any two of them is. If you find that the resultant 

 is opposite to and equal to the third force, then you are certain 

 of equilibrium. Before seeing how the resultant of two forcea 

 may be found, let us examine the single instance in which, with- 

 out looking for a resultant, we can say that three forces are in 

 equilibrium; that is, when three forces are all equal, and make 

 equal angles with each other. 



Take, for instance, three equal weights, attached to three 

 strings, two of them much longer than the third, which are tied 

 together in a knot at their other ends. If the two longer strings 

 with their attached weights are now thrown over two pulleys in 

 the same plane, one of the pulleys being even higher up than 

 the other, and the third string and weight is allowed to hang 

 down in the middle, we shall have a case of three equal forces 

 applied to a point. There are the two outside weights acting 

 over the pulley, and drawing the knot obliquely to either side 3 

 and the middle weight pulling it downwards. What position 

 will the strings settle themselves into F Evidently so that the 

 angles between the strings may be equal ; for no reason in the 

 world can be given why they should be unequal. Whatever reason 

 could be assigned for supposing one of these angles greater than 

 the other, that same reason should make that other angle 

 greater than the first. The angles, therefore, must be equal. 



We have next to consider how the resultant of two, a,nd 

 thence of any number of forces, applied to a single point may 

 be found. Tou will keep in mind that by a '"' single point " I 



