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all mantle in his cheek,--the fire of conscious virtue shall Darkle in his eye, and he shall pronounce the name of Lafay-le.

5. Yet we, too, and our children, in life, and after death, all claim you for our own. You are ours by that more than atriotic self-devotion, with which you flew to the aid of our thers at the crisis of their fate. Ours, by the long series of cars in which you have cherished us in your regard.--Ours, y that unshaken sentiment of gratitude for your services hich is a portion of our inheritance.--Ours, by that tie of ve, stronger than death, which has linked your name, for the esidue of time, with the name of Washington.

6. At the painful moment of separation, we derive comfort om the reflection, that wherever you may be,-oven to the ist pulsations of your heart, our country will be ever present

your affections; and a cheering consolation assures us, hat we are not calied to sorrow most of all, that we shall see our face no more.

7. We shall fondly indulge the pleasing anticipation of beolding you again; and, in the mean time, in the name and ehalf of the people of the United States, and at a loss only or language to give utterance to that feeling of attachment ith which the heart of the nation beats, as the heart of one man, I bid you a reluctant, but an affectionate farewell.

SOLIDS.-LDSSON 31. Cylinders. A cylinder is a round, solid body, resembling, 1 shape, the joint of a stove-pipe. It is formed by the revoluon of a rectangle round one of its sides;-hence, it has equal nd circular bases. Its solidity may be found by the following

RULE. Multiply the area of either base, by the given length f the cylinder, and the product will be the answer. Thus:

The diameter of a granate pillar is 15 inches, and its length s 13 ft. 6 inches; what is its cubic contents? .25 X 1.25=1.5625 X.7854–1.2271875, area of the base. Then, 1.2271875 X 13.5=16.56703125, Ans.

Obs. 1. The superficial contents of the cylinder may be found -Y

the following:

RULE. Multiply the circumference of the base by the length of the cylinder, and, to the product, add the area of both ends. 'huş:

What is the superficial measure of a cylinder whose diam ter is 15 inches, and whose axis is 13ft. 6in.?

1.25 X 3.14159=3.9269875, circumference of the base. 3.9269875 X 13.5=53.01433125, the curve surface. Then, 1.25 X 1.25=1.5625X785451.2271875 X2=2.454375

+53.01433125=55.46870625, Ans. Prisms. A prism is a body whose bases are equal, similar triangles, squares, or polygons, and their sides all parallel to their opposites. The solid contents of the prism may be found by the following

RULE. Multiply the area of the base by the length of the prism, the product will be the answer. Thus:

The side of a stick of timber hewed three square, is 12 inches, and its length 10ft.; what is its cubic contents?

ins. 4.34. 12+12=24+12=36 sum of the sides. (See obs. triangles. page 647.) 36 ---2-18--126

18-12=6
19--12=6

-18X108 X0=648X6=3888, And V°3388=62.354 nearly, area of the base. 62.354X10=623.540--144=4.34, Ans.

Obs. 2. The superficial contents of a prism may be found by the following

Rule. Multiply the length of the sides respectively, and to 'the sum of the products add tho aror of the ends, the sum will be the answer. Thus:--

What is the superficial contents of a prism, of equal sides, each 12 inches, and 120 inches in length? Ans. 30.86611

12X120=1440 in. Ist side.
12 X 120=1440 in. 2d do.
12 X 120=1440 in. 3d do.

4320 sum of the 3 sides. Area as above, 62.354X2=124.708, area of the ends. And 4320+124.708=4444.709--144=30.866.

REMARKS.--LESSON 32. Rules by which the propriety of speech may be determined.?

Language is a species of fashion, founded by tacit consent.. upon good use;--and good use may be referred to respectable use, national use, and present use.

First. Respectable use is that sanctioned by the practice and opinions of authors whose tastes and talents are estah

lished. Such as Addison, Johnson, Steele, &c. whose writings, with a few others, constitute the British Classics.

Secondly. National use may be referred to the practice of particular countries, or nations. This use, therefore, stands opposed to foreign usages, provincial usages, and the usages of professional men, with regard to their particular calling.

Note 1. American nationalities are, in the republic of letters in particular, little else than English nationalities; for, whatever is received asexcellent in the language by that nation, is generally acknowledged as such by this nat on.

Thirdly. Present use, with regard to language, does not mean what is used for the time being, but the usages of that portion of duration in which the standard works, which have received the approbation of men of taste and erudition, were produced, and which still continue to be fashionable usage.

Note 2. All living languages are undergoing continual revolutions and changes. Hence, there is a time when certain words and phrases are indisputably fashionable;-another time arrives when they are regarded as stale; --and a subsequent time, when they are laid aside as obsolete.

In the writings of William Shakespeare, many terms which were in fashionable use in his day, are now entirely dropped. 'The invaluable hymns and psalms of the inimitable Dr. Watts have been recently revised, and many words of his particular choice necessarily expunged.

FOR EXAMPLE.
Time, what an empty vapour 'tis!
And days;-how swift they are!
Swift as an Indian's arrow flies,

Or like a shooting star. In the third line, Indian, has been displaced and fircher substi. tuted. This, aside from the jaw wrenching alliteration (Archer's arrow) which it produces, seems to favour the prevailing practice of the pious, Christian invaders of the western world, which is to drive, not only the Indian race from the continent, but to blot their name from the page of record.

SPELLING.-LESSON 33. ab-er-ra-tion ăb-ěr-rā'shŭn ap-pro-ba-tion ap-pro-ba'shun ab-o-li-tion ăb-o-lish'ün ar-gil-la-cious àr-jil-lā'shús ac-a-dem-ic àk-ā-děm'ik ar-o-mat-ic mr-0-mat/ik; ac-qui-es-cencoăk-kwe-ěs'sense ar-ti-fi-cial àr-tê-fish-al ac-qui-si-lion ăk-kwē-zish'ün a-the-is-tic ā-t'he-is'lik ad-a-man-tine idẫ-măn tin av-a-ri-cious ay-a-rish'ús ad-ap-ta-tion ădăp-tā'shūn a-ve-na-ry ā-vē-ma're ad-o-les-cence ád-o-lès'sēnse be-a-tif-ic be-à-tiflik

ad-sci-ti-tious ăd-sé-tishóūs ben-e-fi-cial běn-e-fish'al ad-van-ta-geous ad-văn-ta'jūs cat e-chu-men kăt-e-kū'měn ad-ven-ti-tious ăd-věn-tish’ús cir-cu-la-tion sẽr-ků-lā'shủn ad-ver-ti-ser ăd-věr-ti'zúr cir-cum-spec-tion sēr-kům-spěk'shăn ad-u-la-tion ăd-yū-lūʻshủn cir-cum-stan-tial sér-kŭm-stăn'shă] af-fi-da-vit åf-fe-da'vit cir-cum-val-late sēr-kŭm-văl'late af-fir-ma-tion ăf-fēr-mā'shún clim-ac-ter-ic klim-ăk-těr'rik al-a-bas-ter ål-ā-băs'tur co-ad-ju-tor kõ-õd-jū’tūr al-ex-an-drine al-legzhăn/drin co-a-les-cence ko-x-lès?sense al-ien-a-tion äl-yěn-ā'shũn Co-a-li-tion ko-ā-lish'ün al-i-men-tal ăl-ē-měn'tăl

col-os-se-an köl-5s-seoăn al le-gor-ic ăl-le-gorʻrik con-de-scen-sion kõn-de-sěn'shữn al-ter-ca-tion ăl-tur-kā'shŭn con-fi-den-tial kõn-fe-děn'shål am-a-ran-thineăm-ā-răn't'hin con-fir-ma-tion kon-fēr-mā'shur: am-e-t'hys-tincă m-e-t'his'tin con-je-la-tion kõn-je-la'shun an-i-mal-cule ă n-ê-mălkūle con-gre-ga-tion kong-grē-gă'shủn an-te-ce-dent ăn-tê-seodẹt con-sci-en-tious kön-shẽ ăn shis an-ti-feb-rile ăn-t@-fbbril con-stel-la-tion kön-stel-la shăn ap-o-plec- ticăp-o-plěk'tik con-sti-tu-tion kõn-stē tū'shữn ap-os-tol-ic ăp-vs-tõlʻlik con tro-ver-sial kõn-tro-věr'shă. ap-pa-ra-tus

ăp-pā-rā'tūs con-tu-ma-cious kõn-tă-mă'shús ap-pa-ri-tion ăp-pā-rish’ún con-va-les-cence kõn-vā-lěs'sěnse ap-pel-la-tion ăp-pěl-lă'shūn cor-res-pon-dence kõr-rě-spõn'děnse

LESSON 34. Gen. Lafayette's reply to the President's address. 1. Amidst all my obligations to the general government, and particularly to you, sir, its respected chief magistrate, i have most thankfully to acknowledge the opportunity given me, at this solemn and painful moment, to present the people of the United States with a parting tribute of profound and inexpressible gratitude.

2. To have been, in the critical days of these states, adopt. ed as a favourite son; to have participated in the toils and perils of their unspotted struggle for independence, freedom, and equal rights;—and in the foundation of the American era of a new social order, which has already pervaded this, and must, for the dignity and happiness of mankind, successively pervade every part of the other hemisphere;--to have received at every stage of the revolution, and during forty years after that period, from the people of the United States, and from their representatives at home and abroad, continued marks or their confidence and kindness, has been the pride, the encou? agement, and the support of a long and an eventful life,

U

3. But where shall I find words to acknowledge that series of welcomes, those unbounded and universal displays of public affection, which have marked each step, each hour of a twelve month's progress through the twenty-four states, and which, while they overwhelm my heart with grateful delight, satisfactorily evince the concurrence of the people in the kind testimonies, and in the immense favours bestowed on me by the several branches of their representatives, in every part, and at the central seat of the Confederacy.

4. And how, sir, can I do justice to my deep and lively feelings, for the assurance, most peculiarly valued, of your esteem and friendship;--for your kind references to old times, to my beloved associates, and to the vicissitudes of my life; --for your affecting picture of blessings poured, by the several generations of American people, on the remaining days of a delighted veteran;--for your affectionate remark on this sad hour of separation, and on the country of my birth, full, I can say, of American sympathies, on the hope so necessary to me of my seeing again the country that deigned, nearly half a century ago, to call me hers?

5. I shall content myself with proclaiming, before you, sir, and this respected circle, my cordial confirmation of those sentiments which I have daily and publicly expressed, from the time when your venerable predecessor, my old friend and brother in arms, transmitted to me the honourable invitation of Congress, to this hour, when you, sir, whose friendly connexion with me dates from your earliest age, are going to consign 'me to the protection, across the Atlantic, of ihe heroie national flag on board the splendid ship, the name of which is not the least flattering and kind of the numberless favours which have courted my acceptance.

God bless you, sir, and all who surround us. --God bless the American people, each of their states, and the Federal Government. Accept this patriotic farewell of an overflowing heart;--such will be its throbs until it ceases to beat.

SOLIDS.---LESSON 35. Pyramids. A pyramid is a solid body whose base may be circular, triangular, polygonical, or square, and its sides plain angles, circles, &c. terminating in a point, called the vertex. A line drawn from the vertex to the centre of the base, is called its perpendicular altitude, or height. The solid contents of all pyramidial figures may be found by the following

Rule. Every pyramid is equal to one third of its circumYeribing primeter;- Therefore,

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