# Elementary and Practical Arithmetic on the Inductive System, by Analysis and Synthesis: Containing Lucid Demonstrations of the Rules, Arithmetical Improvements, and Curiosities, Mensuration of Planes and Solids, Philosophical Problems ...

Waterhouse & Company, 1844 - 216 sider

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### Innhold

 Arithmetical Developments Page 9 Miscellaneous Questions 206 10 Roots of any Power 150 16 Subtraction Fractions 40 56 Abbreviations of Fractions 43 60 Dominical Letters 66 Sundry Rules 67 Simple Interest 98
 Evolution 139 109 Involution 138 Loss and Gain 110 151 Mechanical Powers 191 159 Mensuration Su cies 166 166 Specific Gravity 189 Square Root 140 195 Sundry Tables 204

 Discount 103

### Populĉre avsnitt

Side 36 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Side 37 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Side 154 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Side 192 - The pulley is a small wheel, movable about its axis by means of a cord, which passes over it. When the axis of a pulley is fixed, the pulley only changes the direction of the power ; if movable pulleys are used, an equilibrium is produced, when the power is to the weight, as one to the number of ropes applied to them.
Side 137 - Take a series of as many terms, decreasing by 1, from the given number, out of which the election is to be made, and find the product of all the terms.
Side 77 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Side 69 - Having the sum of two numbers and the difference of their squares* given, to find those numbers. Rule. Divide the difference of their squares by the sum of the numbers, and the quotient will be their difference : You will then have their sum and difference, to find the numbers by Problem 4.
Side 29 - There is a certain number which being divided by 7, the quotient resulting multiplied by 3, that product divided by 5, from the quotient 20 being subtracted, and 30 added to the remainder, the half sum shall make 65 ; can yon teli jnethe number?
Side 57 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Side 96 - A man bought apples at 5 cents a dozen, half of which he exchanged for pears, at the rate of 8 apples for 5 pears; he then sold all his apples and pears at a cent apiece, and thus gained 19 cents. How many apples did he buy, and how much did they cost ? 122.