## A Practical and Theoretical System of Arithmetic: Containing Several New Methods of Operation, and a New System of Proportion; with Theoretical Explanations of All the Principal Rules. Also, a Treatise on Mensuration, and a Brief Practical System of Book-keeping |

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acres added addition amount annuity answer Balance barrels base bought bushels called cent ciphers common compound consisting contain cost cube currency decimal denominator diameter difference distance divide dividend division divisor dollars equal evident example expressed extremes feet figure fraction gallons give given greater half hand higher hundred inches increased interest length less lower lowest mean measure method miles mills months multiplicand Multiply Note number of terms paid payment perform period persons piece pound principal profit proportion quantity question quotient ratio Reduce remainder result rods root RULE share shillings sides simple sold solid square statement subtract taken third units vulgar fraction weeks weight whole whole number wide worth yards yards of cloth

### Popular passages

Page 164 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terns. EXAMPLES. 1. If the extremes be 3 and 45, and the common difference 2 ; what is the number of terms 1 Ans.

Page 62 - Multiplying or dividing both terms of a fraction by the same number does not change its value.

Page 164 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.

Page 174 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.

Page 158 - 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 105 - If 8 men can build a wall 20 feet long, 6 feet high and 4 feet thick, in 12 days ; in what time...

Page 53 - 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.

Page 117 - It is evident that the terms of a proportion may undergo any change which will not destroy the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.

Page 124 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due.

Page 51 - When the numerator is less than the denominator, the value of the fraction is less than 1.