turn. ESERCISES, --GREEK-ENGLIS). peril, on my head? " Banished ?"-I thank you for't. It breaks my chain ! I held some slack allegiance till this hour Your consul's merciful. For this all thanks. He dares not but I re. This trial! Here I devote your senate! I've 'Olyarns seemingly closed and shut up at both extremities by the coalescing cliffs, It seemed like Laocoon struggling ineffectually in the hideous coils of the monster Python. In those mournful months, when vegetables and animals storm and the sullen sky; and is, in the pathetic phrase of I would call upon all the true sons of humanity to cooperate Come, faith, and people these deserts ! Conie and reanimate I am a professed lucubratcr; and who so well qualified to delineate ihe sable hours, as LESSONS IN READING AND ELOCUTIOX. "A mengre, muse-rid mope, adust and thin?" Ile fisouk, therefore, the bustling tents of his father, the pleasant “south country” and “well of Lahairoi;" he went out and pensively medicated at the eventide. TILE APOSTROPIE. The Grecian and Roman philosophers firmly believed that Young observes, with much energy, that "an underout ghasily face, said -“ By Sunt George, he's gone! that spear: Good night to Marmion!"_" Unnurtured Blount! thy brawl. A celebrated modern writer says, “Take care of the minutes, and the hours will take care of themselves" This is an ad- mirable remark, and might be very seasonably recollected of having much to do. I've seen the moon gild the mountain's brow; I've watched the hour of repose. 75. A quotation mark shows that the word or sentence was Blest be the day I'scaped the wrangling crew from Pyrrho's spoken by somne one, or was taken from some other author, maze and Epicurus' sty; and held high converse with the godlike few, who to th' enraptured heart, and ear, and eye, But ihou, who lleaven's just vingeance dar’st desy, this deed, with fruitless tears, shalt soon deplore. O Winter! ruler of the inverted year! thy scatter'd hair thus, ä. with sleet-like ashes tilld, thy breath congeal'd upon thy lips, In the following examples the Student will recognize each branch thy scepire, and thy throne a 'sliding car, indebted 10 thee, all unlovely as thou seem'st, and dreaded as thou art! For, as I passed by, and beheld your devotions, I found an altar with this inscription, " TO THE UNKNOWN Gov." you. " Tried and con- THE ASTENISK, OBELISK, DOUBLE OBELISK, SECTION, PARALLEL PARAGRAPI, İNDEX, CARET, BREVE, AND ERACE. Tie Sudent should take particular notice of the following use in the following examples:-- an Asterisk, or Star. an Obelisk, reading verse It iemains to be ubserved here, that abbreviations Double Obelisk, and contractions, such as occur in poetical sentences in this Lessin a Paragraph. Section, poetical lines. a in prose ise'l. G H recited 78. The Asterisk, Obelisk, Double Obelisk, Paragraph, Sec- the interior and opposite angle upon the same side of the straight tion, Parallels, and sometimes figures or letters, are used to line ; and the two interior angles upon the same side of it together show that there is a note at the bottom of the page. When equal to tuo right angles. many notes occur on a page, these marks are sometimes Let the straight line e f, fig. 29, fall upon the two parallel doubled. straight lines A B and cI). The two alternate angles a GH and 79. The Paragraph is used to show the beginning of a new GI D are equal to one another. The exterior angle E G B is subject in a chapter. 80. The Section is also used to sub-divide chapters into less equal to the interior and opposite angle GID upon the same side of the straight Pig. 29. parts. line E F E And the two interior angles 81. The Index or Hand points to something which re BG II and GID upon the same side quires particular attention, of it are together equal to two right A B 82. The Breve u is placed over a letter to show that it has angles. a short sound; as, Hělěna. For, if the alternate angles A G H and D 83. The Brace } GID be not equal, one of them must F to connect a number of words with one commor term. A G be greater than the angle g h 1), 84. The Caret 1 is never used in printed books; but in To each of these unequals add the angle egy. Then the two writing it shows that something has accidentally been left out; angles A G H and B G I are greater (-41. 1) than the two angles Bon and an D, But the two angles A GH and B Gil, are as, George has his lesson, equal (I. 13) to two right angles. Therefore the two angles BGH and God are less than two right angles. But those N.B. When several asterisks or stars are placed together, straight lines, which, with another struight line falling upon they represent an ellipsis, them, make the two interior angles on the same side less than Examples. two right angles, will meet together (4x. 12) if continually produced. Therefore the two straight lines A B and c 1), it Many persons pronounce the word Helēna, * incorrectly. produced far enough, will meet. But they never meet, since They call it Helēna ; and the words ac'ceptable, rec'ognize, (Hyp.) they are parallel. Therefore the angle A G H is not Epicure’an, and Europe'an, are frequently incorrectly called unequal to the angle G u v; that is, the angle a gh is equal accep'table, recog'nize, Epicu'rean, and European, to the angle G H D: The leprosy, therefore, of Naäman shall cleave unto thee. Again, the angle AG it is equal (I. 15) to the angle E G B. **** And he went out from his presence a lěper as white Therefore the angle E G B is equal (1x. 1) to the angle a D. Lastly, to each of these equals add the angle B G II. Then The Cougar † is the largest animal of the cat kind, found in the two angles E G B and B G 11 are equal (Åt. 2) to the two North America; and has occasionally received the name of angles B G 11 and Q D. But the two angles E G B and E G H the American lion, from the similarity of its proportions and are equal (1. 13) to two right angles. Therefore, alse), the two colour to those of the lion of the old world, angles i g'u and G 11 D are equal (Ax. 1) to iwo right angles, The keeper of the elephant gave him a gallon of arrack, # Wherefore, is a straight line, ele. Q. E. D. which rendered the animal very furious. Corollary 1. If two angles have their legs parallel, cach to I fell upon my knees on the bank, with my two servants, each, and proceeding from their vertices in ihe same directions, and the dragoman of the monástěry. they are equal to each other. The history of Joseph is exceedingly interesting and In fig. c, let A B C and d er be two angles which have their instructive. It was a cave, a huge recess, that keeps till June, December's Fig. c. snow; a lofty precipice in front, a silent tarn I below. C-e-0.4-s, are pronounced like shús. poor, because, forsooth, he holds the village cure.tt When the young blood danced jocund through his veins, 'tis said his sacred stole 11 received some stains. Their wants are promised Bridewell, jj or the stocks. as snow. D B LESSONS IN GEOMETRY.-No. XXIX. legs A B and Bc parallel to D E and E y, each to each, and pré ceeding from their vertices B and e in the same directions, the LECTURES ON EUCLID. angle A B C is equal to the angle D EF. Produce a Blill it (Continued from page 325, Vol. 11.) meet E r in g. Then, because B cand E r are (Hyp.) parallel, PROPOSITION XXIX, -THEOREM. and a G falls upon them, the exterior angle A B c is equal to If a straight line fall upon two parallel straight lines, it makes the the interior angle B G F (I. 29); and because a G and D E are alternate angles equal to one another; the exterior angle equal to |(Hyp.) parallel, and e o falls upon them, the interior angle DEF is equal to the exterior angle B GF; therefore (Ax. 1) * This with the St. before it, is the name of a small island the angle A B C is equal to the angle D E F. situated on the west of Africa, noted for the exile of Napoleon Corollary 2. If two angles be equal to each other, and a leg Bonaparie. of the one be parallel to a leg of the other, their remaining legs † Pronounced Coo-gar. The name given to this animal, by the are parallel, country people, generally, is pointer, evidently & corruption of In fig. c, let the angle A bc be equal to the angle d e r, quinthet. Arrack is a very strong spirituous liquor. and let the leg A B of ihe one be parail. I to the leg d e of the Dragoman means an interpreter. other; the leg Bc of the one is paraliel to the leg E F of the The whole history of Joseph will be found in the Bible ; from and D e are (Hyp.) parallel, and E F falls upon them, the ex: other. Produce a B till it meet E r in o. Then, because a G the 37th chapter to the end of the book of Genesis. ( Tarn is a small lake, high up in the mountains. terior angle B G F is equal to the interior angle D E F; but (Hyp.) the angle A B C is.equal to the angle D E F; therefore + Cure. The office of a clergyman., # Stole, -A long robe worn by the clergy of England. (Ax. 1) the angle A B C is equal to the angle B G P, therefore Bridewell, A house of correction. (I. 28) the straight line Bc is parallel to the straight line ** A clergyman. EP. and c D. G A B -H F D D B E G PROPOSITION XXX -THEOREM. In B C take any point E, and at this point make (I. 23) the angle F E c equal to the given angle d. Then, if the straight Straight lines which are parallel to the same straight line are line E F passes through the point A, the thing required is done; parallel to cach other. if not, through the point A (I. 31) draw the straight line A G In fig. 30, let the straight lines A B and c d be each of them to the angle D. parallel to the straight line F E. Then the angle Agc is equal parallel to E P. Then a B is also parallel to c D. Draw the straight line ou k cut Fig. d. ting the three straight lines A B, E F, Fig. 30. Because the straight line GIK cuts the parallel straight lines A B and E F, the angle Age is equal E (I. 29) to the alternate angle Gif. Again, because the straight line ilk cuts the parallel straight lines E r and c D, the exterior angle aur is equal (I. 29) to the interior angle 11 K. But it was proved that the angle Agh is equal to the angle G I F; therefore the angle A G u is equal (Ax. 1) to the angle G KD; and these are alternate angles; therefore A B is parallel (I. 27) to c D. Wherefore, straight lines which are, etc. Q. E. D. Scholium. The student should prove the case of this proposition, when the straight line E F is not between the straight lines A B and CD, but on either side of both. This may be done by supposing a B and a F, fig. 30, to be Because the straight lines A G and are parallel, and the EXERCISE II. TO PROPOSITION XXXI. bases passing through the same point, the least is that whose base is bisected in that point. PROPOSITION XXXI.- PROBLEM. In fig. e, let B A C be the vertical angle of any number of tri angles, whose bases pass through a given point's. Let the base To draw through a given point a straight line parallel to a giren straight line. Fig. e. Let a, fig. 31, be the given point, and b c the given straight line. It is required to draw, through the point A, a straight line parallel to Fig. 31, the straight line B c. In the straight line B o take any point D, and join A D. At the point A in the straight line a D, make (I. 23) the angle DA E equal to the angle A DC. Pro- B duce the straight line E A to F. Then Er is parallel to B C. Because the straight line A D meets the two straight lines E P and B C, and makes the alternate angles E A D and ADC equal to one another; therefore E p is parallel (I. 27) to B C. Wherefore, through the given point n, a straight line E A P has been drawn parallel to the given straight line B C. Q. E. F. Scholium 1. The application of the 23rd Proposition of this be any other triangle having the same vertical angle B A c, and cases of the 28th Proposition may be used instead of the 27th is less than the triangle A GD. Through the point c, draw the Proposition, straight line c r parallel to A B (I. 31). Because, in the two triangles & B E and C F E, the angle BGB is equal to the angle c P E (I. 29), and the angle G E B to the angle PE C (I. 15); and the side B E to the side E c (Hyp.); Through a given point, to draw a straight line, making an angle therefore the triangle E cf is equal to the triangle E G B (1.26): with a given straight line, equal to a given rectilineal angle, but the triangle e cr is less than the triangle BCD (Ax. 9); Scholium 2. This exercise is brought from Prop. XXIX., in therefore the triangle G B B is also less than the triangle BCD. our earlier editions of Euclid, where it was misplaced.* To these unequals add the trapezium AGEC, and the whole, In fig. d, let a be the given point, Bc the given straight line, the triangle Abc, is less than the whole, the triangle ag d. and the given rectilineal angle. It is required to draw Q. E. D.* through the point A, & straight line that shall make with B C an angle equal to the given angle D. • This exercise was solved by T. BOCOCK (Great Warley); QUINTIN PRINGLE (Glasgow); E. I. BREMNER (Carlisle); D. H. DRIFFIELD; J, H. * This exercise was sulved by T. BOCOCK (Great Warley) and others. EASTWOOD (Middleton); and others. E A F D с B 5 of tri ii., p. 92.-e. L. 8. 41, R. 6.-F. L. S. 30, R. 8.-9. fit place, FRENCH READINGS.–No. IX. gave room.-H. from croire; L. part ii., p. 84.-i. from interromUN BIENFAIT N'EST JAMAIS PERDU. pre; L. part ii., p. 94 ; see also L. S. 41, R. 8.-;. veuillez, have the goodness to ; from vouloir ; L. S. 69, R. 4.-k. from savoir ; SECTION IV. L. part ii., p. 104.-rl. L. S. 84, R. 5.-m. il y en avait, there --13. from aller ; L. part ii., p. 76.-0. from La nuit était devenue a si épaisse, qu'ils furent contraints was ; L. S. 63, R. 2.de s'arrêter. Dès que le jour parut, ils renouvelèrent leurs décrire ; L. part ii., p. 86.p. L. S. 68, R. 3. recherches, hélas ! avec aussi peu de succès que la veille, SECTION V. quand tout à coup le son d'un cor se fitd entendre, 3 -D'où vient ce signal ? ' s'écria aussitôt M. Dérambert Le front du marchand était soucieux ;' renfermé dans un en prêtant une oreille attentive. silence que personne nc songeaita à interrompre, il Une seconde fois le son du cor retentit.5 s'était mis le visage contre terre et recueillaite les moin-Ce bruit vient de l'habitation ; courons tous; mes amis. dres bruits que la brise apportait. Tout à coup on le vita A ces mots la troupe se dirige en toute hâte vers la maison..? tressaillir. --Hélas ! lui dit-il je croyais que c'était mon petit mer; ses yeux brillaient, ses oreilles étaient droites ; il fré. missait, tous ses: gestes indiguaient que ses recherches Mais vit-il & encore ? ? s'écria la mère. Le marchand remua la tête et s'élança sur les traces de faire ;12 j'ai l'espoir que nous sauronsk bientôt ce qu'est son chien, qui avait repris sa course à travers de la forêt, en devenu' votre enfant. s'arrêtant de temps à autre pour donner à son maître le Auguste et Fanny étaient là ; le marchand frappe dans temps de le rejoindre. Enfin l'animal s'arrêta au pied d'un ses mains,' et aussitôt on etendit l'aboiement li joyeux gros arbre, lo et poussa' un long aboiement. Le marchand d'un beau chien de, Terre-Neuve qui bondit à ce signal. redoubla de vitesse, et bientôt il fut à côté de lui. Il aperC'était Moustache, qui s'en alla tout d'abord caresser 15 çuti alors l'enfant couché sur un tas de feuillagell et ne les deux enfants qu'il reconnut, en tournant autour donnant aucun signe do vie. 11 le prit" dans ses bras et d'eux et ayant l'air de se rappeler qu'il y en avait un reconnut: qu'il n'était pas m mort,'2 mais seulement dans un troisième. état de faiblesse tel que, quelques instants plus tard, il aurait --Voilà qui va“ bien, dit le marchand ; Moustache recon- sans aucun doute expiré. Le marchand le souleva avec prénait les enfants ; à son air inquiet, je vois qu'il s'étonne caution 13 dans ses bras et l'apporta à ses parents. de ne point voir celui qui est absent./6 Veuillez me Ils étaient heureusement en quelque sorte préparés à cet donner les derniers vêtements que le petit Alfred a événement, et s'étaient munis de tout ce qui était nécesportés. 17 saire 14 pour le restaurer. Bientôt il ouvrit les yeux et tous Quand ces objets furent là, il les montra à son chien,1s les les chagrins de cette cruelle journée furent oubliés.15 M. et lui fit fairer ; puis, prenant la maison pour centre d'un Mme Dérambert , Auguste et Fanny étaient fous de joie ; 16 mayon, il décrivito autour d'elle un cercle d'un quart de c'est à peine si dans les premiers moment ils songèrent à remille, is en ordonnant à Moustache de quêter partout où il le mercier celui qui leur avait rendu leur enfant ; mais après menait . Le cercle n'était pas entièrement parcouru lorsque avoir baigné de larmes le visage du petit malheureux, après le chien se mit P à aboyer.20. l'avoir pressé mille fois contre leur cæur, ils se jetèrent 17 au I.e son de sa voix rendit une lueur d'espérance au père cou du marchand en le comblant de bénédictions. et à la mère, 21 qui étaient inconsolables. Le chien, en Mais, Moustache ! de quelles caresses ne fut-il pas l'objet ! suivant le émanations du corps de l'enfant, aboya de c'était à qui• le choierait, 13 le flatterait, l'embrasserait. L'innouveau ; chacun s'empressa de le suivre, mais on le perdit telligent animal paraissait” prendre part au bonheur génébientôt dans les bois. 22 Ce fut un moment de terrible ral ; il courait d'Auguste à Fanny, de Fanny à Alfred dont anxiété, car pendant une demi-heure environ, l'on n'entendit il léchait les petites mains avec un air de contentement plus rien. inexprimable. On aurait dit qu'il se rappelait , le service 20 COLLOQUIAL EXERCISE. qu'auparavant, les trois enfants lui avaient rendu, et qu'au jourd'hui il se trouvait heureux d'avoir pu leur témoigner sa and ? COLLOQUIAL EXERCISE. 15. Où s'en alla d'abord le 4. Que dit M. Dérambert ? 1. Comment paraissait alors le 11. Qu'aperçut alors le marchien ? 6. Qu'entendit-on encore ? marchand ? chand ? 2. Où s'était-il place ? 12. L'enfant était-il mort? inquiet du chien ? 3. Que dit-il tout à coup 13. Que fit ensuite le mar. 4. Quelle était la contenance chand ? vant? du chien lorsqu'il reparut? 14. Dequoi les parents s'étaient- 5. Qu'est-ce que ses gestes in- ils munis ? diquaient ? 15. Ouvrit-il bientôt les yeux ? 20. Que fit alors le chien? 10. Que dit le père en reconnais. 21. Quel fut l'effet de la voix du 6. Que dit le maître ? 16. Les parents montrèrent-ils sant le marchand ? 7. Quelle fut la question de la chien ? beaucoup de joie ? 11. Quelle excuse offrit le mar. 22. Put-on suivre le chien dans mère ? 17. Que firent-ils après avoir 8. Quelle réponse fit le mar- embra é le petit garçon ? le bois ? chand: NOTES AND REFERENCES. 18. Mou ache fut-il oublié? 5.-a. from devenir; L. S. 41, R. 1. 9. Que faisait le chien après 19. Que faisait-il alors ? b. from contraindre ; L. part ii., p. 84.--c. from paraitre ; L. avoir repris sa course ? 20. Qu'aurait-on dit en vorant part ii, p. 98.—d. se fit entendre, ras heard; from faire ; L. part 10. Où s'arrêta-t-il enfin ? le chien ? 7. Que fit alors la troupe? CA chand ? il, 4 6 ::: ... T 41. Secondly. The index of the logarithm of every decimal | avert crime, accident from ignorance, and death from neglect, it is J. H. 42. In Table of Logarithms, only the decimal parts of the ANSWERS TO CORRESPONDENTS. J. M. C. (Plymouth) : Blank verse is quite capable of " rhythmical it does not follow that "blank verse is the best of all poetry;" for "blank notice among our currespondents. Now, once for all, let our opinions op this subject be duly considered: we think that lines with like endings, as he Part I. phrases it, may hinder and retard poetical ideas with some, and assist them with others. Milton wrote his immortal poem, " Paradise Lost," in blank Indices. verse, but it would not have injured his ideas in the slightest if he had made 0 the lines jingle with like endings; Pope wrote his translation of ** Homer's ) Iliad," a work far superior to the original, ia heroic rhyme-that is, he made the lines jingle with like endings, and yet it would not have been one Hundreds 2 wbit more poetical had it been written in bank verse ; for, as we have said Thousands 3 betore, " Pope wrote in numbers, for the numbers came." It is true that Tens of Thousands " poeta na:citur, non fit;" but it is also true that cultivation does a great deal. 5 7 8 Thousands of Millions 9 LITERARY NOTICES. 10 11 THE HISTORICAL EDUCATOR. etc. 2.c. The First Volume of this Important Work, containing Ancient Voyages and Travels, with Popular Histories of Greece and America, etc. etc., is juz! published, price Gs. neat cloth. Indices. CASSELL'S Latin DICTIONARY, BY J. R. 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