# 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

C. Morse, 1838 - Arithmetic - 192 pages

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### Contents

 Section 1 1 Section 2 3 Section 3 5 Section 4 19 Section 5 35 Section 6 45 Section 7 58 Section 8 64
 Section 10 81 Section 11 83 Section 12 134 Section 13 148 Section 14 153 Section 15 173 Section 16 187 Section 17 191

### Popular passages

Page 162 - 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 162 - 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 172 - 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 156 - 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 103 - 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 115 - 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 122 - 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.