# Elementary and Practical Arithmetic: On the Inductive System, by Analysis and Synthesis ... Being Also, a Key to Any Arithmetical Work, on the Principles of Association and Visible Illustration

Waterhouse & Company, 1844 - Arithmetic - 216 pages

### Contents

 Arithmetical Developments 7 Proportion 27 to Fractions 42 Annuities 60 Proportionals 82 of Decimals 98 Repetends 115 Bodies put in motion 205 137
 Roots of any Power 150 Multiplication 156 Mechanical Powers 162 Sundry Rules 167 Simple Interest 175 Specific Gravity 189 Square Root 195 Sundry Tables 204

### Popular passages

Page 35 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 94 - 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.
Page 190 - 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.
Page 27 - 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?
Page 75 - 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.
Page 162 - Two triangles are equal, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each.
Page 67 - 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.
Page 55 - 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.
Page 207 - B then kicked down C's hat, and to work they all went anew, for what it contained ; of which, A got .|, BJ, and D y, and Cand E equal shares of what was left of that stock.
Page 191 - The wheel or axle, is a wheel turning round together with its axis ; the power is applied to the circumference of the wheel, and the weight to that of the axis by means of cords.