3. ATокVEW (Aπо, from, and кvw, I conceive, am pregnant), I bear, I bring forth; Oavaros, ov, ò, death. 4. δοσις, εως, ή, a giving ; δώρημα, ατος, το, a gift; τελειος, a, ov, perfect; avwoev (ava), from above, the termination Oev denominator gives the idea of from, compare in Number IX., Tо0εv and εντευθεν; καταβαίνω (κατα, down, and βαινω, I go), I come down, EσTI Kar, literally, is coming down, is constantly coming down-a beautiful description of the constancy of the Heavenly Father's goodness; pws, pwTOS, TO, light. 5. opyn, ns, (the root of opɛyouai), desire, effort, a strong emotion, anger; dikaιoovvn, ns, ǹ, justice, just designs; karepyaloμaι (kara, down, thoroughly, and epyov, a work), I accomplish. 6. γινομαι (the old form of γιγνομαι, compare γενος, a races a kind), 1 become; πointηs, ov, ò, a doer, a maker, hence our poet, the great maker, that is, inventor; aкpoarns, ov, ¿, a hearer. 7. Θρησκεία, ας, ή, service, God's service, religion; καθαρος, a, ov, pure; aμiavтos (μaivw, I spot), unspotted; kaι, even, that is, ούτος, αὕτη, τοῦτο, this, επισκεπτομαι (επι, over, and σKETтoμaι, I survey) I overlook; from the same root is our σκεπτομαι, bishop, that is, an overlooker, a superintendent; oppavos, ou, o, our word orphan; χηρα, ας, ή, a widow; θλιψις, εως, ή, affliction; avrov, of them, their; aoñiλoç, ov, unstained (oriλos, a stain), rŋpew, I keep, preserve. επιεικής, 8. άγνος, η, ον, chaste, holy ; πρωτον, in the first place, ETTEITA, then, in the second place; niko (tin, peace), peaceful; επiɛikns, mild; Evπεions (Tεow, I persuade), easy to be ευπειθης (πειθω, entreated, μεστος, η, ον, full; αδιάκριτος (α, not, δια, through, κρɩvw, I distinguish), without partiality; avvπокρiтоs (α, not, thev is interposed between the two vowels for the sake of euphony; πо, under, and кpwvw, hence our word hypocrite), without hypocrisy; σTεiρw, I sow; TOLS TOLovσiv, for those doing, that is, those who do or pursue. κρινω, 9. ποθεν, whence; εντευθεν, thence; ύμων, of you, your; στρατευομαι, Ιwar; των στρατ, which make war; μελος, ους, To, a limb, member; vμv, in you. 10. Μοιχος, ου, o, an adulterer ; μοιχαλίς, ίδος, ή, an adul teress ; ουκ οίδατε, know ye not? εχθρα, ας, ή, hatred. 11. ὑπερηφανος (υπερ, above, high, too much, and φαινω, Ι show), haughty; avтiraσooμaι (avri, against, and raσow, I set), I array myself in opposition to; raжεivos, n, ov, low, lowly, humble; didwol, he gives. 12. νομοθετης (νομος, a law, and τιθημι, I place), a lawgwer ; δυναμαι, I am able; ὁ δυναμ. who is able; σώζω, I save; аπоλλνμι, I destroy; σωσαι and απολεσαι are infinitives governed by ὁ δυναμενος. 6c 2. Reduce to fractions having a common У 3. Reduce and 3' x 2+1 d+h to fractions having a common denominator. 4. Reduce nominator. to fractions having a common de 8. Reduce nominator. 3x y adf bcf bde and to fractions having a common de and to fractions having a common 3 Ans. Vol. III., p. 113.-ENGLISH-LATIN. Canem verberant; filius patrem amat; epistolam scribis Angă vincent hostes; hostes victi sunt ab Anglis; Carthago & Scipione deleta est; pax fortes decet; ducem Vellingtonum fecerunt Angli; Napoleonem nominârunt imperatorem Galli; vigentesimum ago annum; tricesimum annum ago [instead of age read ago]; frater multos menses caecus fuit; fossa decem pedes est lata; exercitum transduxit flumen; somnium somniavit Josephus; aleâ ludunt; illud dubitas? illud mihi concedunt; regem adeo; boni veritatem nunquam egrediuntur; avaratia carcos reddit homines; Socrates sapiens est habitus; consul sententiam rogatus est; puellas musicam docent; Latinam docendi sunt pueri; eheu me miserum! vae tibi, marite! Vol. III., p. 130.-LATIN-ENGLISH. How great your labour! alas! how wretched I am! O the deceptive hope of men, and their frail fortune and our empty strifes; by the faith of gods and men! what great undertaking, O sacred Jupiter, was ever accomplished not only in this city but in all lands! alas! my labours have been undertaken in vain! O my fallacious hopes, and empty thoughts! lo! here is the reason why the law was passed; aha! you have a talent of silver! I write a letter; I whip a dog; the son loves his father; the Romans conquered the Carthaginians; Scipio destroyed Carthage; the very swift foot-soldiers were able in running to keep up with the cavalry; serene peace befits men, fierce rage (befits) wild beasts; red hair is no discredit to a man among the Germans; let prudence never fail [in the note for infinitive read imperative] the orator; Themistocles did not escape from envy on the part of his fellowcitizens; Ulysses wished to withdraw from warfare; fortune assists the brave; you think that I am a rival of Agamemnon; glory, like a shadow, follows valour; brave and wise men are not accustomed to seek so much the rewards of good deeds as good deeds themselves; Marius commanded in that part; he had formerly played a similar game; I dreamed a wonderful dream; I am of opinion that your fathers are alive; I enjoy that kind of life which alone deserves the name; I have sworn a very certain and very imposing oath; Siccius Dentatus had nine triumphs; I cannot make the same boast; that I doubt not; in that I agree with you; Pythagoras visited the magi of the Persians; the consuls entered on their consulship; Pythagoras went to many barbarous regions on foot; I met no one; all fates surround us on every side; soon the Roman legions besieged Carthage; Scipio did not refuse a conference; history ought not to depart from truth; the best plans are forming; this town is under siege; a very large inheritance comes into (your) possession; they declare that either by a letter or a messenger they are approaching him as if king; Caesar went to the colonies of his country; he wished to visit, and become acquainted with those nations also; with great hope I enter on the remainder of my speech; the mother called her son a brotherslayer; Ennius has well said that anger is the beginning of madness; he named Sicily the nurse of the Roman populace; the recollection of pleasures we have enjoyed makes life happy; cupidity and avarice make men blind; the Carthaginians appointed Hamilcar their commander-in-chief; the people created Ancus Martius king; Apollo judged Socrates to be the wisest of men; Socrates accounted himself an inhabitant and citizen of the whole world Ariovistus replied to Caesar that he should consider him not as a friend but as an enemy; what is more foolish than to account uncertain things certain, and false things true? Cato, by himself, is as good to me as a hundred thousand men; Artaxerxes asked the Athenians to let him have Iphicrates as a general; do you consider that nothing? the Achaeans sought aid from Philip; Verres (capital V) demanded from parents money to be allowed to bury their children; Caesar daily required corn from the Aedui; who taught Epaminondas music? I have not concealed the con-jaws (bites); Lycurgus confirmed his laws by the authority of the versation from thee; know that my opinion has not been asked; Marius had learnt all military arts; am I even now to be taught to speak either Greek or Latin? in that you give me excellent advice; this one counsel I give my pupils; Apollo is asked to supply words; you must inquire your way; Epaminondas is taught music; Cato was asked his opinion; the legions were conveyed through Italy, Rhegium, and Sicily, and then from Sicily across into Africa; Miltiades reached the Chersonesus; all hurry together into the houses; Mithridates sent ambassadors as far as Spain to Cneius Pompey; Caesar's soldiers go up under the mountain; he sent his forces across the Hellespont; he commanded the army to pass over the Rhine; they pass the river on a bridge; we conversed from eight o'clock till evening; he will sleep till sunrise; he walked seventy miles; Ariovistus proceeded from his own boundaries three days' march; the plain of Marathon is distant from the town of the Athenians about ten miles; the towers stand eighty feet apart; the Arabians have their swords about four ells 'long; the soldiers raised a mound three hundred and thirty feet broad, and eighty feet high; Atticus for thirty years wanted no medicine; Appius was many years blind; Saguntum has now been three years in the power of the enemy; the name of Pythagoras flourished for many ages; Nestor had outlived two generations of men; I am in my eighty-fourth year; I sleep the winter through; like Mercury in all things, both voice and complexion Conon for the most part lived at Cyprus, Iphicrates in Thrace, Timotheus at Lesbos; we were detained seven days at Corcyra; Miltiades tarried in the Chersonesus; the Gauls went to their homes; great things were carried on abroad in those times; M. Drusus was killed at his own house; I spoke those same things at my house; they carry gold and silver into the palace; they invite each other to their homes; I am not at my ease in another person's house; at the house of Caesar there are no friends; many persons assemble at his house; the victory was announced at Corinth, at Athens, and at Lacedemon; he was brought over from Apollonia, a city of Pontus; the Romans came to the town Cirta; the strangers are in the town of Citium; Archias was born at Antioch, formerly a celebrated city; the soldiers stopped at Alba, a fortified city that was near; when I was directing my way to Mutina; there was a look-down from Gergovia into the camp (castra); I intended to go from Athens; ambassadors came from Ardea to Rome; a vessel is ready for us at Cajeta; Socrates introduced philosophy even into homes; Antony committed impure deeds even in a chaste family; discipline flourished in that house; Alcibiades was educated in the house of Pericles; he was said to celebrate mysterious rites in his own house; they went to their own rural properties; Pompey being conquered by Caesar hastened to Alexandria; the emperor Gallienus was slain at Milan; Caius Marius betook himself to Praeneste; many famous Romans are said to have gone to Rhodes; the Romans were brave at home and abroad; at Delphi there was a very famous temple of Apollo; wherefore both kings and peoples were accustomed to send ambassadors to Delphi, or to seek oracular responses from Delphi; the Romans sent ambassadors to Athens; Demaratus had filed from Corinth to Tarquinii in Etruria; we are punished by negligence in many things; they are în fault who desert their duties through weakness of mind; I beg you to think that I write to you more rarely than I was accustomed, not through forgetfulness of you, but through my bad health; anxiety had taken possession of the senators lest the people through fear and anger should appoint military tribunes; I almost lost my senses through excessive joy; the pilot's art is praised for its utility; one ought to grieve for a misdeed, and to rejoice at correction; I am wont to rejcice in nothing so much as in a consciousness of performing my duties; being glad at your lot you will live wisely; the Campanians were always proud of the excellence of their fields; Greece formerly flourished in opulence, dominion and glory; the Roman state laboured under two vices, avarice and luxury; oxen protect themselves by horns, boars by tusks, lions by Delphian Apollo; Atticus gratuitously supplied all the Athenians with corn; we are supplied and adorned with the gifts of the gods; it is the duty of the senate to assist the state by its counsel; many old men have found pleasure in cultivating the land; being oppressed with food and wine, we, in the hours of rest, see troubled and confused things; Varus (dele comma) is a man possessed of the highest religion and the highest authority; that belongs to each person which each enjoys and uses; the Helots among the Spartans performed the office of slaves; Caesar obtained the command of all Gaul; the Numidians for the most part lived on milk and the flesh of wild beasts; the crocodile is protected by his skin, which is very hard, against all blows; elephants breathe, drink, and smell by means of their trunk; some people eat locusts; the teeth are worn away by use, but are not burnt with fire; in silence he led his forces out of the camp; Miltiades restored order in Chersonesus with the greatest equity; let us always venerate the gods with a pure, sound and uncorrupt mind and voice; they went over the forests of the Alps not without loss; Dolabella (not Dolabellam) provided a fleet with the intention of going to Italy; allow me to say so; the stars accomplish their courses with the greatest speed; Iphicrates had a great soul; Caesar is reported to have been tall, light-complexioned, slender of limb, with a mouth somewhat large, black and brilliant eyes, and excellent health; all the Britons colour themselves with woad (blue), and on that account they have a more frightful appearance in battle, they also have long hair, being shaved in every part of the body except the head and upper lip; Cato in all things possessed singular foresight and industry; Dionysius ordered boys of rare beauty to stand at his table; Caesar sent to Ariovistus Valerius Procillus, a youth of very high virtue and humanity; there was between Labienus and the enemy a river difficult to be passed and with broken banks; Chrysogonus purchased a Corinthian vase at a great price; Caesar shows the soldiers how much a victory must cost; the conquered purchased peace at a great cost; peace of mind is purchasable for neither gold nor gems; of old, boys were immolated to the gods at Carthage; Alexander died at Babylon; Pindar flourished at Thebes, Theocritus at Syracuse; in winter boars sleep in caves; no mortal is wise on all occasions, Iphigenia, the daughter of Agamemnon, was slain at Aulis; Dione was put to death (interfecta est.) at Syracuse; Dionysius got possession of Syracuse again; pleasure having dominion (dominante) all virtues of necessity lie low (are necessarily depressed), if all things were lost, yet virtue could uphold itself; calling God to witness, he promised many things; in the civil war nothing happened which I did not foretell; it is not advantageous to quit the banks of the Rhine, when now hostile nations are about to make irruptions. SOLUTIONS. Solution of J. F. Wilson's question, page 300, col. 1, Vol. III., by A Ι. This question was also solved by T. F., Ayrshire; and X PLUS Y. Answer to D. F. F. C. H.'s query, to bisect a cone by a plane part will be a cone similar to the whole; and similar solids CORRESPONDENCE. THE GIFT OF ORATORY. "Though I speak with the tongues of men and of angels !!'-1 Cor. xiii. 1. DEAR SIR,-As one of your pupils, allow me to ask your advice, through the medium of the P.E., viz.: What course of study must I pursue in order to become an orator, beginning at the very first rudiments of the art? I am confident that I might be the means of doing much public good in this manner, for I possess (I am not writing under any egotistical disposition, but simply telling the truth) many rare talents, being about the middle stature, of commanding and pleasing features, a fine yet powerful voice, with perfect command over it, having studied singing for the last six years with that object in view; and from what little experience I have had, I have discovered that I possess that great secret of success in oratory— power to sway the multitude. Yet with all these talents I lack knowledge; you will, therefore, confer a great boon upon one of your earnest pupils by giving the advice he earnestly seeks. Yours, &c. RESPICE FINEM. [The author of the preceding letter having sent us his real name and address, we cannot but insert it as a specimen of many which we receive, and to give our subscribers an idea of the labour which we have to undergo as the Editor of the POPULAR EDUCATOR. How truly does the letter show, as he confesses himself, that the author lacks knowledge, the best of all knowledge, namely,-self knowledge! We would strongly recommend to his perusal Mason's "Treatise on Self-Knowledge," and to his reflections the celebrated adage of antiquity, uttered by Solon, yvwli oɛavrov, nosce teipsum, know thyself. We would also recommend the perusal of the book once printed separately from the Bible, and used as a classbook in the parochial schools of Scotland, namely, "The Proverbs recommend begin at the first volume of the P.E., and study of Solomon," was even wiser than Solon. Lastly, we would every word of it, in order to gain that knowledge which he himself seems to feel the want of. We give him a year to make himself master of it. After that the second volume awaits him; then the third and the fourth. O Having thus got something into his cranium, he may try to spout or make an oration to the public, with advantage to himself and instruction to his hearers.] LET A EFD be a section of the globe, wAL the wall, and c a. a a2 X-a ax 2a2 a2x2as O G equals But the area of the surface of the enlightened segment, whose arc is EFD, is by mensuration, and the area of the shadow on the wall — π Π who ANSWERS TO CORRESPONDENTS. W. FOLLETT (Bognor) should study well all Mr. Cassell's publications, especially the Popular Educator, vols. 1, 2 and 3; and 4 as far as published. -J. LOVETT (Ashfordby) and A WELL-WISHER (Grahamston) are right.T. HILL (Manchester): Lessons on Elocution are almost ready.-BENE: ING (Abingdon): Received, and under consideration.-A STUDENT OF Wrong on the wolf question, and right on the taper question.-F. GOLDKING'S: The omission has been noticed.-SUBSCRIBER (Wigtonshire): If a ball be thrown at an angle of 45° it will have the greatest range. The stature of an individual has nothing to do with the angle of elevation. W. TAYLOR (Cowbridge): We must defer the subject of annuities for some time. Lingua in Latin means both the instrument of speech, the tongue, and that which is spoken by it, language. In French, this word becomes La Langue, and means the same two things; but the French have a word, Le Langage, derived from this, which signifies only that which is spoken, language. ). Consequently, we have, by the question, The English word tongue, like the Latin Lingus and the French La Lanque, -2a a2x-2a3 This quadratic gives us x = means both the of speech, which is spoken by (7±√17). 1 inch, we have, by taking the upper sign, x=5·56155, &c. inches, the distance of the taper from the wall. We hope some of our correspondents will give us an explanation of the case when the under sign is taken, that is, when ≈ 1.4384. &c. |