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Among his other duties, he furnishes the town clerk with a list of the persons assessed to work in his particular district; he notifies the assessed when and where to work, and reports the negligent and idle to the magistrate, to be dealt with according io law; he is to keep the gates in repair, clear the road of louse stones, and account to the commissioner of highways once or more in each year.
For the performance of his duties he must be invested with some powers; will you enumerate them?
His powers are brief, said Mr. Brown. He can re-assess for deficier ces in the road tax, or any extra expense; he fixes the rate of team work, and commutes with labourers at sixty two and a half cents a day; and he is liable to a fine of ten dollars if he neglects his duty.
The Sides of a Tiangle. A Triangle is a figure of three sides, resembling the base of a prism, of these there are soveral kinds.
In a right angled triangle represented by the subjoined diagram A, B, C, the side A, B, is called the base, B, C, the perpendicular, and A, C, the
30ft. hypotenuse. Now, the length of the hypotenuse may be
B found by the given length of the
4011. other two sides, by the following
Rule. Square the given sides, and add the results;--then the square root of the sum will give the hypotenuso.
40X40=1600, squaro of the base,
2500, sum of the squarcs; the square root of which is 50. Ans.
Ons. 1. In this example, it appears that the sum of the squares of the two short sides, is equal to the square of the long side; therefore, when the length of any two sides of a right ansle triangle is given, that of the other side may be easily found by inspection:- For, from the square of the hypotenusc subtract the square of the base, and the square of the perpendiculur is left, the square root of which gives its longih; and
from the square of the hypotenuse, subtract the square of the perpendicular, and the square of the base is left, the square root of which gives its length. Thus: -
B's garden presents the figure of a right angle triangle, the base of which is 24 rods, and the hypotenuse 40 rods: what is the length of the perpendicular?
40X40=1600, square of the hypotenuse,
24 X 24= 576. square of tbe base; then 1600-576=1024, the square root of which is 32ft. Ans.
Suppose a right angle triangle whose perpendicular is 32 feet, and hypotenuse 40; what is the base?
40 X 40=1600,
32 X 32=1024, then, 1600—1024=576, the square root of which is 24st. Ans.
Obs. 2. If the base and perpendicular of a right angle triangle be given in one sum, and their product in another, then sach of the
sides of the triangle may be found, respectively, by the following
RULE. 1. Square the given sum, and subtract therefrom 4 times the given product; the square root of the remainder will give the difference of the sides.
2. The half of this difference, added to half the given sum, will give the longest side; and subtracted, will give the shortest side. Thus:
The sum of the base and perpendicular of a right angle triangle, is 70. and their product is 1200; what are the sides respectively?
70x70=4900: and 1200X4=4800, then 4900-4800= 100. the square root of 100=10+2=5.
70+2=35-+-5=40, the longes tside; and 35-5=30, the shortest side. Then the square root of the sum of the squares of these sides, will give the hypotenuse, as in the above example:
REMARKS, &C.-LESSON 12.
Poetic Pauses. Poetic pauses are of two kinds;-one may be termed the pauses of sense, which are distinguished by points, and the other, the pauses of harmony, called cesural pauses.
The cesural pause falls near the middle of each line, and sometimes co-incides with the pause
of sense. In heroic verse the cesural pause may fall on the fourth, fifth, or sixth syllable. Thus:
1. The silver éēl',, in shining võlūmes roll?d,
The vëllow cărp',, in scāles bě-drop'd with gold. 2. Round brókén columns',, clāsping ivy twin'd',
and ởer thẽ ruins, stalkd thẻ stately hind.
Röcks fall to dūst', ănd mountains mélt ăwāy:
on thể précipice-top',, in përpētūăl snow'.
Whăn thể battlẽ is thère, the wrath thẻ vẫves :
'Mid lightning's broad Aăsh', ăcross the blue ārch'. Note. The scholar of taste, who wishes to be a judge of poetry, and 10 read it with force, variety, and beauty, is advised to make occasional selections, and, with a pencil, mark them in conformity to the above es-amples, and pronounce them aloud to a hearer of judgment, conversani with verse, and capable of pointing out the defects of delivery, if any. A few exercises of this kind, will do much in the line of improvement, and stimulate to further exertions.
SPELLING.---LESSON 13. tau-to-lo-gi-cal
thẻ-j-lô je-ăn the-o-log-i-cal
tip-o-grăf'ė-kă 1 val-e-dic-to-ry
ū-ně-věr' sē-tē vol-a-til-i-ty
from foreign poor, and yet to give to such all the relief to which they are entitled by law; and to account to the supervisor and justices of the peace for all their doings in relation to their receipts and expenditures.
What is done when an overseer of the poor goes out of of lice? asked Horace.
He then hands over to his successor, his books and vouchers, with the money in his hands, and all other matters and things pertaining to his office, or forfeit the sum of two hundred and fifty dollars.
How do the overseers of the poor know how to proceed in all cases that come under their notice? asked Horace.
The law points out their duties and powers in every emeryency, and while they follow that, they are safe; and if they do injustice, an appeal lies to the court of general sessions which has power to correct their proceedings.
Commissioners of Common Schools. The next officer in rotation, is the Commissioner of Common Schools, said Horace; how many of these are appointed and by whom?
There are three appointed annually for each town in the state, replied the father, by the vote of the people; and they must be taken from among the freeholders of the towns res. pectively.
We shall be glad to hear something of the duties and powcrs of these school officers, said Philo.
They attend are to formation of school districts, which, when formed, are to be described and numbered, and a distrci meeting is to be called, at which the clerk and trustees for the district are appointed, and a site determined for the school house, and a tax laid to purchase the same, and to build a house, and to do all other necessary matters and things in the premises.
What powers do they possess, asked Philo, to enable them to do the duties of their appointment?
They have power to fill vacancies; to exonerate the poor and indigent from the school tax; to call special meetings; to receive and distribute the school monies agreeably to the apportionment of the trusteos, in connexion with whom, they have power to hold real estate for the benefit of the district schools.
What compensation do the commissioners receive for their services? inquired Horace. The
same, answered the father, that is given to commissioners of highways, and their accounts are audited and set