The Teacher's Aid, Containing the Solution of a Variety of the Most Difficult Questions, which are Inserted in a Number of the Various Arithmetics Now in Common Use: Also, Containing a Solution of All the Questions Not Illustrated in the Promiscuous Examples Contained in the Arithmetics of Ostrander, Parke, Smith, Smiley, Adams, Daboll, Ray and Stockton; to which are Added an Interest Table, and a Variety of Useful Rules ...Thrall & Reed, printers, 1849 - Arithmetic |
Common terms and phrases
12 feet A's gain A's share acres add half add the square amount Ánd base bbls bushels chains circle circumference cistern cord cows cube cube root diagonal distance dividend divisor drams equal error extract the square feet 6 inches find the area find those numbers frustum furlongs give the greater give the number given number given to find greater number half sum half the difference half their sum height Hence interest to July least number leaves the less length minutes months multiply number of dollars number of feet number of horses number of rails paid pence perpendicular pieces pints poles pounds prime cost proportion reduced remainder rods seconds semi-diameter sheep slant height Smiley's sold solid contents solid feet solving this question square feet square miles square root Thaler weeks wine gallons Zlot
Popular passages
Page 5 - By heaven, methinks it were an easy leap, To pluck bright honour from the pale-faced moon, Or dive into the bottom of the deep, Where fathom-line could never touch the ground, And pluck up drowned honour by the locks...
Page 190 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 189 - If the blank place or term sought, fall under the third term, the proportion is direct ; then multiply the first and second terms together for a divisor, and the other three for a dividend : but if the blank fall under the first or second term, the proportion is inverse ; then multiply the third and fourth terms together fora divisor, and the other three for a dividend, and the quotient will be the answer. EXAMPLES.
Page 189 - To the remainder bring down the first figure in the next period, and call it the dividend. 4. Involve the root to the next inferior power to that which is given, and multiply, it by the number denoting the given power, for a divisor.
Page 194 - Square the given diameter, and if the required circle be greater, multiply the square of the diameter by the given proportion, and the square root of the product will be the required diameter. But if the required circle be less, divide the square of the diameter by the given proportion, and the root of the quotient will be the diameter required.
Page 188 - RULE. — First see what the gain or loss is by subtraction; then, As the price it cost : is to the gain or loss : : so is 100/. or $100, to the gain or loss per cent.
Page 192 - To find two mean proportionals between two given numbers. Divide the greater number by the less, and extract the cube root of the quotient.
Page 189 - Mvtnd antecedents have to their consequents, the proportion between the first antecedent and the last consequent is discovered, as well as the proportion between the others in their several respects.
Page 199 - ... which, if he would unravel, and make it appear what each was to have, as he appeared to have a partiality for Harriet, her third daughter, he should be welcome to her : pray, what was Miss Harriet's fortune?
Page 187 - JULY a pole was erected, Composed of six pieces, and nicely connected ; Two feet and six Inches it measured around, On the place where it stood at the top of the ground ; The form was a cone in surface complete, The height of the same was twice sixty feet: What length of inch...