An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the Instruction of Youth in Schools and Academies in the United States

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Collins & Hannay, 1827 - Arithmetic - 272 pages

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Page 66 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 129 - Rule. — Divide the numerator by the denominator, the quotient will be the whole number...
Page 129 - To reduce a mixed fraction to an equivalent improper fraction. RULE. — Multiply the whole number by the denominator of the fractional part, and to the product add the numerator, and place their sum over the said denominator.
Page 244 - When the sum of the series, the number of terms, and one of the extremes are given, to find the other extreme. Divide twice the sum of the series by the number of terms, and from the quotient take the given extreme.
Page 54 - WEIGHT. 16 drams, dr. make 1 ounce, - - - - oz. 16 ounces - - - 1 pound, - - - - Ib. 28 pounds - - - 1 quarter, - - - qr. 4 quarters - - - 1 hundred weight, - cwt. 20 hundred weight, 1 ton, T.
Page 226 - A sum of money was divided between two persons, A and B, so that the share of A was to that of B as 5 to 3.
Page 245 - A body near the earth falling by its own weight, if it were not resisted by the air, would descend in the first second of time through a space of 16 feet and 1 inch ; in the next second through 3 times that space ; in the third, through 5 times that space ; in the fourth, through 7 times that space, etc.
Page 220 - ... number contained in the first period, and place the cube root of it in the quotient. Subtract its cube from the first period, and bring down the next three figures ; divide the number thus brought down by 300 times the square of the first figure of the root, and it will give the second figure ; add 300 times the square of the first figure, 30 times the product of the first and second figures, and the square of the second figure together, for a divisor; then multiply...
Page 61 - A square inch is a square each of whose sides, is an inch long. A square foot is a square having each side 1 foot, or 12 inches long.

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