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strictly republican; for, I observed the constitution of the United States, is pledged to secure to each state a republican constitution.
Yes, my son, we have a republican constitution; and our state government resembles that of the United States. Our governour fills the executive department, and his powers and duties are defined by that fundamental law. Our legislature, the senate and assembly, makes the laws, holds the state's purse strings, and provides for the support of govemment. The assembly have the sole power of bringing impeachments, and the senate are the judges to try them. The supreme court of the state, with other minor courts, hold the judicial power, pass upon the constitutionality of the laws, and hear and determine causes at issue, originating within this state.
How do all the officers of government know their duty, and the extent of their powers ? asked Horace.
The constitution and laws determine the duties and powers of every officer in the state, from the highest to the lowest, and nothing is given or taken by construction. And so long as knowledge, virtue, and patriotism, characterise the people, we shall be a prosperous and happy community, and no longer. PRACTICAL EXERCISES IN MENSURATION, &c.—LESSON 27.
14. What is the solid contents of a globe which is seven inches in diameter?
Ans. 179 2-3 in. 15. What is the capacity in cubic inches of a hollow globe, whose diameter is 20 in.; and how many gallons of wine will it hold?
Ans. 4188.81 in. and 18. 13+ gallon. 16. Suppose a lever 10 ft. long, the prop 2ft. from one end, and 42 lbs. suspended at the other; what weight will it move?
Ans. 168 lbs. Note. In turning the lever round the prop, the centre of motion, the end eight feet from it, passes over a space of eight feet, while the other end passes over only two feet.
Now it is known that the weight and the power, are precisely equal, or will balance each other, when they are inversely as the spaces
which they pass over. Therefore, 2 lbs. eight eet from the prop, will balance 8 lbs. two feet from the prop. Consequently, divide the distance of the power from the prop, by the distance of the weight from the prop, and the quotient will always express the ratio of the weight to the power, as in
10-_2=8, then, 2 and 8 are the extremes of the lever from the prop. And 8+2=4, the ratio of the weight to the power, then, 4X42=168 the weight.
the above example.
17. Suppose the lever as in example 16; what power would it require to raise 1000 lbs.?
Ans. 250 lbs. 18. Suppose the greater distance to be 40 feet, and the lesser, only 6 inches, and the power 175 lbs; what weight will it move ?
Ans. 12000 lbs. 19. Suppose the weight to be five times the power, and placed 4 feet from the prop; at what point must the power
be applied ?
Ans. 20 ft, 20. B's gallon measure will hold 20 peaches, and one quart of water; what is the cubic contents of the fruit?
Ans. 173 1-4 in. 21. A has a large wooden square, the parts of which are 4ft. and 3ft.; what is the distance of the extremes? Ans. 5ft.
22. Two ships sail from the same point, one east at the rate of 10 miles an hour, the other north, 7 1-2 miles an hour; how far are they apart at the close of 72 hours? Ans. 900m.
23. What is the superficial contents of a board 2 feet wide at one end, and tapering to a point at the other, and its whole length 20 feet.
Ans. 20ft. 24. Each side of a triangle, is 10 feet; what is the length of a line passing from one angle to its opposite side, and what is the area of the angle? Ans. 8ft. Sin, and 43ft. 4in.
25. Admit the diameter of the earth to be 7912 miles, and the top of a mast 132 feet high, may be just seen by an observer on the deck of another ship 33 feet from the water; how far are the two ships apart?
Ans. 21.125. miles. 26. B’s cistern is 10 feet high; its greater diameter 14 feet, and its smaller 12 feet; what will it hold ?
Ans. 158 hhds. nearly. 27. The axis of a sphere is 42in.; what is the convex surface of a segment of it whose height is 9 inches?
Ans. 1178.5248 in. 28. What is the contents of a conical block, 20in. high, 20in. diameter at the base, and 18in. at the top?
Ans. 9131.584 in. 29. What quantity and weight of water may be put into a sphere, whose diameter is 4 feet?
Ans. 205.34 gall. nearly, 12833.64544 lbs. 30. What is the diameter of a sphere whose solidity is 65.45 feet?
Ans. 5ft. 31. If a silver globe whose diameter is 3in. be worth $150; how many such globes will $9600 purchase? Ans. 64.
32. B's copper globe contains 16755 lbs. of water; what is its diameter?
REMARKS, &c.-LESSON 28.
The mounds in Ohio. 1. The suns last rays were fading from the west
The deepening shades stole slowly over the plain The evening breeze had lulled itself to rest And all was silence save the mournful strain With which the widowed turtle wooed in vain Her absent partner to her lonely nest I lingered by some soft enchantment bound And gazed enraptured on the lonely scene From the dark summit of an Indian mound I saw the plain out spread in living green Its fringe of clifts was in the distance seen And the dark line of forest sweeping round I saw the lesser mounds which round me rose Each was a giant heap of mouldering clay There slept the warriors brothers friends and foes There side by side the rival chieftains lay And mighty tribes swept from the face of day Forget their wars and find a long repose.
Thoughts on Death. 2. When life as opening bud is sweet
And golden hopes the spirits greet
Alas how hard it is to die
Ah then how easy it is to die
It is natures precious boon to die
It is joy it is triumph then to die
SPELLING.---LESSON 1. IVords alike in spelling, but different in pronunciation and
mecning. ab-sent åb'sent, not present. com-pact kõm-păkť, close. ab-sent āb-sẽnt', to keep away. com-pound kõm'pòûnd, made ab-stract ăb'străkt, an abridg- of parts. ment.
com-pound kõm-pòûnd',to minab-stract ăb-străkt', to take a gle. way.
com-press kom'prés,a bandage a-buse ă-būse', ill use. com-press kom-près', to press a-buse ă-būze', to treat with close. rudeness.
con-cert kön'sért, harmony. ac-centăk'sẽnt, stress of voice.con-cert kon-sert', to settle ac-cent åk-sént, to make the privately. stress.
con-crete kõngʻkrēte, a mass as-pect ăs'pěkt, appearance. concreted. as-pect ăs-pěkt, to behold. con-crete kön-krēte', to form at-tri-bute at'tre-būte, quality. in a mass. at-tri-bute ă t-tribʼūte,to ascribe. con-duct kõn'dūkt, behaviour. aug-ment âwgʻměnt, state of con-duct kõn-dúkť, to manage.
con-fect kõn'fekt, a sweetmeat. aug-ment âwg-měnt', to in-con-fect kön-fěkt', to make
sweetmeats. au-gust âw'gūst, the 8th month. con-fine kõn'fine, a limit. au-gust âw-gūst', magnificent.\con-fine kõn-fine', to border bel-lows běl lõz, does bellow.
upon. bel-lows běl'lūs, an instrument con-flict kõn'flikt, a struggle. cem-ent sěm'měnt, that which con-flict kõn-flikt', to contest. joins.
con-jure kõn'jūr enchantment. ce-ment sē-měnt', to unite. con-jure kõn-jūre', to enjoin. col-league kõlʻlēg, partner in con-serve kõn'sērv, a sweetoffice.
meat. col-league kõl-lēg', to unite con-serve kon-sěrv', to prewith.
serve fruit. col-lect kollēkt, a short prayer. con-sole kõn'sole, in architeccol-lect köl-lěkt, to gather up.
ture. com-merce kõm'měrse, trade, con-sole kõn-sõle', to comfort. traffic.
con-sort kön'sòrt, a companion com-merce kõm-měrse',to hold con-sort kon-sòrt, associate intercourse.
with. com-pact kõm'păkt, an agrec-con-sult kõn'sült, a council held ment.
Icon-sult kõn-sõlt', ask advice.
con-test kon'těst, a dispute. con-trast kõn'trăst, an opposicon-test kõn-těst', to strive. tion. con-text kõn'těkst, part of a con-trast kõn-trăst', to 'place discourse.
opposite. con-text kõn-těkst', to mat orcon-verse kõn'věrse, acquain
tance. con-tract kõn'trăkt, an agree-Icon-verse kõn-věrse', to dis
ment. con-tract kon-trăkt', to bargain
READING EXERCISE.-LESSON 2. Note. I here submit a series of select pieces in poetry, the productions, principally, of our own authors. To these the pupil is invited to mark the emphatic words, (by scoring them with a pencil,) the inflections of the voice, and also the cesural pauses, where the measure will admit, before he attempts to pronounce them.His improvement will repay his trouble, which, as he progresses, will be constantly diminishing: for the whole, in a short time, will become perfectly intuitive,
Bunker Hill Monument.--PIERPONT,
'Tis the high place of freedom's birth!.
The holiest spot of all the earth?
The robber roams on Sina's height;
No more in Zion's fading light.
Since round its head the war cloud curl'd,
and battle for a world.
And we, the children of the brave,
Free as the waves below us spread ;--
Its shadow on their hallow'd bed.
While o'er their tomb thy sun shall flame ;-