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Σελίδα 280 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on. Hence a semicircle contains 180 degrees, and a quadrant 90 degrees. 58. The Measure of an angle, is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is estimated by the number of degrees contained in that arc.
Σελίδα 312 - A cylinder is a solid figure described by the revolution of a rightangled parallelogram about one of its sides which remains fixed. XXII. The axis of a cylinder is the fixed straight line about which the parallelogram revolves. XXIII. The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Σελίδα 251 - Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and write...
Σελίδα 255 - Subtract the square thus found from the said period, and to the remainder annex the two figures of the next following period, for a dividend. Double the root above mentioned for a divisor, and find how often it is contained in the said dividend, exclusive of its righthand figure ; and set that quotient figure both in the quotient and divisor.
Σελίδα 249 - Divide as in whole numbers, and point off as many figures for decimals in the quotient, as the decimal places in the dividend exceed those in the divisor.
Σελίδα 310 - From half the sum of the three sides subtract each side severally. Multiply...
Σελίδα 314 - For the surface of a segment or frustum, multiply the whole circumference of the sphere by the height of the part required.
Σελίδα 255 - The square root is indicated by this character \/ placed before the number ; the other roots by the same character, with the index of the root placed over it. Thus, the square root of 16 is expressed \A6 , and the cube root of 27 is expressed v^27 ; and the 5th root of 7776,^7776.
Σελίδα 245 - RULE. — Multiply each numerator by all the denominators except its own, for the new numerators; and all the denominators together for a common denominator. NOTE 1.
Σελίδα 269 - ... the weight in equilibrio. Hence, a small addition either of leverage, or weight, will cause the power to preponderate. Example 1. — A ball weighing 3 tons is to be raised by 4 men, who can exert a force of 12 cwt.: required the proportionate length of lever ? 3 tons = 60 cwt.