## The North American Arithmetic: Part Third, for Advanced Scholars |

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accounts acres added allowing amount annum answer balance barrels Bill bushels called cents changes cloth common compound consequents contain contents continual cost cube root cubic decimal denominator denoted diameter difference divided dividend division divisor dollars equal example exchange expressed Extract extremes factors Federal money feet figure foot four fourth fraction francs gain gallon give given given number greater half hundred inches interest length less London mean measure merchant miles mixed months multiplied observed obtained operation paid payable payment pence person places pounds present principal PROBLEM proportion quantity question quotient ratio received Reduce remainder result rods RULE share shillings side simple sold square root sterling Subtract Suppose term things third United vulgar fraction weight wide wine worth yards

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Page 7 - ... 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20 twenty 21 twenty-one...

Page 114 - Multiply each debt by its term of credit, and divide the sum of the products by the sum of the debts. The quotient will be the average term of credit.

Page 178 - ... 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 27 - 10 pounds, Avoirdupois weight, of distilled water, weighed in air, at the temperature of 62° of Fahrenheit's thermometer, the barometer standing at 30 inches.

Page 44 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.

Page 172 - ... 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 104 - 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 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 160 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained in the dividend...

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.