7. "This proposal is not a mere idle cómpliment. It proceeds from the sincerest and deepest feelings of our hearts." 8. "Howard visited all Europe, not to survey the sumptuousness of palaces, or the stateliness of témples; not to make accurate measurements of the remains of ancient grandeur; not to form a scale of the curiosities of modern árt; not to collect medals or collate manuscripts; but to dive into the depth of dungeons; to plunge into the infection of hospitals; to survey the mansions of sorrow and pain; to take the gauge and dimensions of misery, depression, and contempt; to remember the forgotten, to attend to the neglected, to visit the forsáken, and to compare and collate the distresses of all men in all countries." 2, "From the very first night--and to say it I am bold- 5. "The weights had never been accused of light conduct.” The tones of grand and sublime description, profound rever- Note.-A similar principle applies to the reading of conces--it sions and of unequal antitheses or contrasts. In the latter, the less important member has the rising, and the preponderant one the falling inflection, in whatever part of a sentence they occur, and even in separate sentences. Example:-1. "Science may raise you to éminence. But virtue alone can guide you to happiness." "I rather choose 2. To wrong the dead, to wrong myself and you, Than I will wrong such honourable men.' Exception. When negation is emphatic or preponderant, it takes the falling inflection,-Example 1. "He may yield to persuasion, but he will never submit to force."-2. "We are troubled on every side, yet not distrèssed; perplexed, but not in despair; pérsecuted, but not forsaken; cast down, but not destroyed." RULE II.-In question and answer, the falling inflection ends as far below the average level of the sentence, as the rising ends above it. In this way, a certain exact correspondence of sound to sound, in the inflections, is produced, which gives to the full downward slide of the answer a decisive and satisfactory intonation, as a reply to the rising slide of the question. Examples.-1. "Are they Hébrews?-So am 'I. Are they 'Israelites ?-So am 'I." 2. "What would content you, in a political leader?-Tálent? No!-'Enterprise? No!-Cóurage? No! Reputátion? No!- Virtue? No! The man whom you would select, should possess not óne, but all of these." RULE III, When a question consists of two contrasted parts, connected in syntax by the conjunction Or, used in a disjunctive sense, the former has the rising, and the latter the falling inflection. Examples. 1. "Does he mean you, or mè?” -2. "Is this book yours, or mine?" 4. "Are the people vírtuous, or vicious; intélligent, or ignorant; affluent, or indigent?" Note.--When Or is used conjunctively, the second inflection does not fall, but rises higher than the first. Example."Would the influence of the Bible-even if it were not the record of a divine revelation-be to render princes more tyrannical, or subjects more ungóvernable; the rich more insolent, or the poor more disorderly; would it make worse parents, or children-húsbands, or wives-másters, or sérvants-friends, or neighbours? Or would it not make men more virtuous, † and, consequently, more happy, in èvery situation ?" Rule on the Circumflex, or Wave. The circumflex, or wave, applies to all expressions used in a peculiar sense, or with a double meaning, and to the tones of mockery, sarcasm, and irony. Examples. 1. "You may avoid a quarrel with an îf." "Your if is the only peacemaker: much virtue in an îf." In successive questions, the rising inflection becomes higher at every stage, unless the last has, as in the above example, the falling inflection of consummating e. phasis. The last or is used disjunctively, and forms an example to the Bule, and not to the Note, 1. "His form had not yet lost All her original brightness, nor appeared On half the nations, and with fear of change 2. "And I saw a great white throne and Him that sat on it, 3. "Upon my secure hōur thy uncle stole, With juice of cursed hebenon in a vial, Rule on Harmonic' Inflections. 'Harmonic' inflections-or those which, in emphatic phrases, are intended to prevent the frequent occurrence of emphasis in the same phrase, from becoming monotonous to the ear-are applied in clauses of which every word is emphatic, and are marked by a distinct and separate inflection. Example." He has been guilty of one of the most shame|ful acts || that ever degrùded | the N'ATURE || or the NA'ME || of MAN." Note. In such cases the inflections usually alternate, in Rule on Repeated Words, Phrases, and Sentences. Examples.-1. "From these walls a spirit shall go forth, that 2. "What was it, fellow-citizens, which gave to Lafayette his spotless fame?-The love of liberty. What has consecrated his memory in the hearts of good men ?-THE LOVE OF LIBERTY. What nerved his youthful arm with strength, and inspired him in the morning of his days with sagacity and counsel ?THE LIVING LOVE OF LIBERTY. To what did he sacrifice power, and rank, and country, and freedom itself?— TO THE LOVE OF LIBERTY PROTECTED BY LAW." LESSONS IN GEOMETRY.-No. XXX. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. Let A B C be a triangle, fig. 32, No. 1, and let one of its sides BC be produced to D. Then the exterior angle a CD is equal to the two interior and opposite angles CA B and ABC. And the three interior angles ABC, BCA, and CAB are equal to two right angles. Through the point c draw the straight line, (I. 31) CE, parallel to the side BA. B Fig. 32. No. 1. A E D Because CE is parallel to B A, and AC meets them, the angle ACE is equal (I. 29) to the alternate angle BA C. Again, because CE is parallel to AB and BD falls upon them, the exterior angle ECD is equal (I. 29) to the interior and of posite angle ABC. But the angle ACE was shown to be equal to the angle B AC. Therefore the whole exterior angle A CD is equal (Ax. 2) to the two interior and opposite angles C A B and A BC. To each of these equals, add the angle ACB; the two angles A CD and ACB are therefore equal (Ax. 2) to the three angles CAB, A B C and ACB. But the two angles ACD and ACB are equal (I. 13) to two right angles. Therefore also the three angles CA B, A B C and ACB are equal (Ax. 1) to two right angles. Wherefore, if a side of any triangle be produced, etc. Q. E. D. Corollary 1.- All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. Let ABCDE, fig. 32, No. 2, be any rectilineal figure. All the interior angles ABC, BCD, etc., together with four right angles, are equal to twice as many right Fig. 32, No. 2. angles as the figure has sides. Divide the rectilineal figure ABCDE into as many triangles as the figure has sides, by drawing straight lines from a point F, within the figure to each of its angles. Because the three interior angles of a triangle are equal (I. 32) to two right angles, and there are as many triangles in the figure as it has sides, all the angles |