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(2) A mixed 6 gal. of rum at 67 cts. a gal. with 7 at 80ʻcts: and these with 5 at 120 cts.;- what is the value of a gallon of the mixture?

Ans. .8675 (3) How much wine, at 6s and 4s must be mixed, that the composition may be sold at .625 mills a gallon?

Ans. 12 gal. of each. (4) How much grain at 2s 6d, 3s 8d, 4s, and 4s 8d a bu. must B mix, to make the price 3s 10d a bushel?

Ans. 12 at 2s 6d, 12 at 3s 8d, 18 at 4s, and 18 at 4s 8d, (5) H would mix wine at 14s, at 15s, at 19s, and at 22s a gal. and prepare a mixture worth 18s a gal.; what quantity of each must he take?

Ans. 5 at 14s, 1 at 15s, 7 at 19s, and 4 at 22s. (6) How much gold at 17 and 24 carrats fine, must E mix with 10:07. 16, and 20 cz. 19 carrats finte, to prepare a misture of 50 oz. of 19 carrats fine?

Ans. 10 oz. of 17, and 10 of 24 car. fine. (7) How many gal. of water must be mixed with wine, at 4s a gal. to make 80 gal. worth 2s 9d a gallon?

Ans. 25 of water, and 55 of wine. Note. The last question is solved upon the same princi, es employed to answer the famous question of the crown of Hiero, King of Syră:




&c.--LESSC 2 Propriety in the use of words and po" s, implies the judicious selection of such terms as the best

usage has wopriated to the ideas designed to be expressed.

Rule. 1. Avoid low, vulgar, and coarse expressions:-as, topsy turvy, hurly-burly, pell-mell, left to shift or shirk, sitting cheek by jole, &c.

2. Avoid unwarrantable ellipsis:--as, How great the difference, between the pious and profane. (Here the pointed contrast requires the repetition of the article; the pious and the profane.) Death is the lot of all;--of good and bad, of the good and the bad.)

By the pleasures of the imagination or the fancy, which I shall use promiscuously. (Terms which I shall use, &c.)

3. Avoid the use of the same word in the same sentencc, too frequently, and especially in different senses:--as, One may have an air which proceeds from a just sufficiency and knowledge of the matter before him, which may naturally pro

you do.


duce some emotion of his head and body, which might become the bench better than the bar. (The repetition of the pronoun which, throws an obscurity over the whole sentence, not a little increased by the phrase, "just sufficiency and knowledge of the matter.") Corrected thus:--A speaker may put on an air, originating in a just sense of the importance of his subject, which may awaken a corresponding emotion of his head or his body, that would become the bench better than the bar.

The Prince favoured the plan for no other reason than this; ---the manager, in conntenance, favoured, (resembled) his friend.

4. Avoid ambiguous, doubtful, and double meaning words: as, Such animals as are mortal or noxious, we have a right to destroy. (Animals that are deadly poisonous, or those that are only noxious.) I long since learned to like nothing but what

(You like.) He aimed at nothing less than the

(He aimed at the crown, and nothing less would satisfy his ambition.) I will have mercy and not sacrifice. (That is, I would have you exercise mercy and not sacrifice.)

5. Avoid unintelligible and inconsistent terms:--as, This temper of mind, keeps our thoughts tight about us. (Humility keeps the understanding constantly engaged.) I have observed that the są wiority in these coffee house politicians, proceeds from an opinion of gallantry and fashion. The superiority of these coffee house politicians is determined by the rank which they hold in matters of gallantry and fashion.)

6. Avoid such words as do not express the idea but something nearly akin to it:--as, It is but to open the eye and the scene enters. (Appears, or presents itself.) We assent to the beauty of a woman.

(We acknowledge the beauty of a woman, and assent to a proposition.) The sense of feeling can give us a notion of extension, shape, and all other ideas that enter the


(Extension and shape are properties of matter and not ideas; and our senses give us ideas of themselves, and not notions of ideas.)

SPELLING.--LESSON 9. a-ce-tus ă-sē'tūs dis-sei-zor dis-sezór a-chieve-ment a-tshēve'měnt en-dear-ment en-der měnt ad-he-rence ăd-he'rēnse en-fee-ble ěn-fe'bl ad-he-sion ăd-hē'zhữn en-trea-ty ěn-trē'të ag-griev-ance ăg-grèv'ănse ex-ceed-ing ěx-cēd'ing



fa-ce-tious fã-cē'shus
ap-pear-ance ăp-pēr'ānse gen-teel-ly jén-tēl lē
arch-dea-con ărk-de'kn hy-e-na hi-e'nă

im-peach-ment im-pētsh’měnt ca-the-dral kā-the'drăl in-de-cent in-dē'sent chi-me-ra ki-mē'ră in-gre-dient in-grē'jent co-e-qual kö-ē'kwăl in-trig-uer in-trēg'ur co-e-val

kö-ē'văl in-voi-gle in-vē’gl co-he-rence kö-hē'rěnse mos-chet-to mõs-kē'to co-he-sion kō-hē'zhún

mū-zē'um co-he-sive kö-hē'siy pan-the-on păn-theoũn . com-plete-ly kõm-plēte'lē ple-be-ian plē-bē'yăn com-ple-tion kõm-plē'shũn pre-ce-dence pré-sē'děnse con-ceal-ment kon-sēl'měnt pro-ce-dure pro-sē jūre con-ceit-ed kõn-sēt'ěd re-ceiv-er rē-sē'vür con-cre-tion kõn-krē'shún re-deem-er re-dēēm'ùr cza-ri-na ză-rē'nă re-liev-o ré-lēv'o de-ceitful dē-sēt'fûl re-ple-tion -plē'shữn de-ceiv-er de-sēv'úr


sâlt-pē'tr de-cre-tal dē-krētăl se-ced-er se-sēd'ur de-mean-our dē-mēn'ūr se-cre-tion sē-krē'shún dis-creet-ly dis-krētle vice-ger-ent vise-jē'rėnt

LESSON 10. Major General Nathanie' Green. 1 General Green was born 1741, in Warwick, county of Kent, and state of Rhode Island. When but a boy, he exhibited strong indications of excellence and usefulness, much above his years. He was retired, grave, and thoughtful; yet, when occasion required, he could unbend his brow, mix with alacrity and delight in the sports of his companions, and hold a foot race to the disadvantage of the swiftest champion.

2 His father had designed him for the business of an anchor smith, but the boy's aim was of a more lofty cast. Το. him, knowledge was power; and to obtain it, was his ruling passion. He became his own preceptor. With a scantily rem plenished pocket, he purchased a select library, and feasted his intellect in the pursuit of mathematics, geography, travels, and military history.

3 In obedience to the wishes of his father, he plied the hammer at the anvil with skill and success; but his countrymen saw that his talents and attainments fitted him for sta tions of trust and trial in any sphere of action.


4 On entering upon the duties of manhood, he was early elected to a seat in the legislature of his native state. This was the commencernent of a career which brightened as it progressed--dazzled most in the day of deepest disaster, and closed with a lustre which the rust of ages cannot tarnish.

5. When the American Revolution burst upon the world,

athaniel laid the wardrobe of Quaker cut drab, in which he had been educated, and, with the badge of the soldier shadowing his brow, caught the spirit of freedom, and bared his arm in resistance to British oppression. Soon after the purple tide of life had been poured out upon the greensward of Lexington, he márched at the head of the Rhode Island patriots, to the scene of blood near the town of Boston.

6 On the appearance of Washington in the American camp, commander in chief of the armies of the nation, he was hailed by every soldier with acclamations of joy; but Green gave him a public welcome in a personal address, couched in a warmth of expression, and glow of patriotism, which satisfied the commander, that the orator possessed a kindred soul kindled in a kindred cause.

POSITION.--LESSON 11. Position exhibits the method of finding the true required number by employing one or more false or supposed numbers, It is of two kinds, Single and Double.

Single Position, refers to those questions only, which have the proportions of the required number implied in the question, and require but one supposition.

Rule. 1. Take any convenient number, and work with is agreeably to the nature of the question, 2 As the result of the operation

Is to the given number;
So is the supposed number

To the true number required. Thus:(1) A teacher, on being asked how many pupils he had, replied: If I had as many more as I now have, half as many, and one fourth as many; I should have 99; how many had he?

Ans. 36. Suppose 40

36 =40

18 Half as many =20

9 One fourth =10

----99 proof -110 result. Then As 110: 99;: 40 : 36m-for 99 X40;110=36 Ans.

As many

(2) A, B, and C, have $100 to be divided between them; but B is to have $3 more than A, and C, $4 more than B;what is each man's part?

Ans. A $30, B $33, and C $37. (3) A spent 1-3 and 1-4 of his money, and had $60 left;how much had he at the first?

Ans. $144. (4) What number is that, of which a 1-6 part of it exceeds an 1-8 part by 20?

Ans. 480. REMARKS, &c.--LESSON 12. 3. Precision in the use of words and phrases, implies the use of such words as express the idea precisely, but neither more nor less.

RULE. Avoid all redundancies, and trim every sentence until it exhibits exact copies of the ideas in the mind.

Example. It is to remove a good and orderly affection, and to introduce an ill or disorderly one, to commit an action that is ill, immoral, and unjust, to do ill, or to act in prejudice of integrity, good nature, or worth. (The parts of this sentence appear to have very little relation. The writer, in love with words, has said too much to say any thing. An immoral action does something more than merely remove a good and introduce an ill affection, it incurs guilt; and an unjust act, is a sinful act:--but to act in prejudice of good nature, is nothing more than a mean, unworthy act.)

The courage and fortitude of the warrior in that disastrous battle, was most conspicuously displayed throughout the whole engagement. (Courage and fortitude are by no means synonymous terms: Courage resists danger, and, to the warrior, in the hour of battle, is a most essential quality: But fortitude sustains pain and a reverse of fortune with composure and dignity. This, too, is of great importance to the hero, when the battle is lost, himself wounded and in chains amid the damps and gloom of a dungeon.)

OBs. Two or more distinct qualities are better presented to The mind by as many distinct propositions, than by being blended in one. Thus:

The courage of that warrior, in the disastrous battle, was conspicuously displayed throughout the whole engagement; and his fortitude was manifested by the composed dignity with which he sustained the defeat.

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