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

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

### Popular passages

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 - 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 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 183 - 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 265 - ... last product by 95, the quotient whereof shall be deemed the true contents or tonnage of such ship or vessel; and if such ship or vessel be single-decked, take the length and breadth, as above directed, deduct from...

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 7 - Cardinal numbers: 1 one 2 two 3 three 4 four 5 five 6 six 7 seven 8 eight 9 nine 10 ten 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20...

Page 171 - ... is equal to the square root of the difference of the squares of the hypotenuse and the other leg.

Page 177 - Find how many times the divisor is contained in the dividend, and place the result in the quotient.

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...