# 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, 1836 - Arithmetic - 192 pages
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### Contents

 Section 1 3 Section 2 5 Section 3 32 Section 4 41 Section 5 45 Section 6 81 Section 7 83 Section 8 91
 Section 11 138 Section 12 148 Section 13 153 Section 14 158 Section 15 173 Section 16 176 Section 17 183 Section 18 187

 Section 9 108 Section 10 134
 Section 19 191

### Popular passages

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 62 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Page 51 - When the numerator is less than the denominator, the value of the fraction is less than 1.
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. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
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 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 82 - RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier, beginning with the lowest term in each, and call the product of any two denominations the denomination denoted by the sum of their indices, carrying 1 for every 12.
Page 159 - Alligation alternate is the method of finding what quantity of any number of simples, whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation medial, and may be proved by it. RULE 1.* 1. Write the rates of the simples in a column under each other.
Page 145 - Extract the root of the numerator for a new numerator, and the root of the denominator, for a new denominator 2.
Page 124 - If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal, but interest continues on the former principal until the period when the payments taken together exceed the interest due, and then the surplus is to be applied towards discharging the principal, and interest is to...