The North American arithmetic: part third, for advanced scholars

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Jenks, Palmer & Co., 1851
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This has been a personal treasure of mine because:
1) It has the manual method for taking the n-root of a number
2) The discussion of weights and measures in the early 1800's. Do you think the new-fangled Metric system from France will become poplar some day? :)

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Page 39 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 104 - 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 be computed on the balance, as aforesaid.
Page 45 - To multiply a whole number by a fraction. RULE. Multiply the whole number by the numerator, and divide the product by the denominator.
Page 184 - ... 5, 7, 9, 11, 13, 15, &c. is an ascending series. ( 15, 13, 11, 9, 7, 5, 3, &c. is a descending series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st.
Page 178 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained in the dividend...
Page 212 - Multiply continually together all the terms of the natural series of numbers, from 1 up to the given number, and the last product will be the answer.
Page 109 - ent,, and amount given, to find the time. RULE. Subtract the principal from the amount, and the remainder will be the interest.
Page 194 - We have seen, (IT 92,) that compound interest is that, which arises from adding the interest to the principal at the close of each year, and, for the next year, casting the interest on that amount, and so on. The amount of $ 1 for 1 year is...
Page 178 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 274 - A hare starts 12 rods before a hound ; but is not perceived by him till she has been up 45 seconds ; she scuds away at the rate of 10 miles an hour ; and the dog, on view, makes after her at the rate of 16 miles an hour ; how long will the course hold, and what space will be run over, from the spot where the dog started ? Ans.

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