## The North American Arithemetic: Part third for advanced scholars |

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accounts acres added allowing amount annum answer balance barrels Bill Bought bushels called cents cloth common compound contain continual cost cube root cubic decimal denominator denoted 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 head hundred inches interest length less London mean measure merchant miles mixed months multiplied 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 sold square root sterling Subtract Suppose term things third United vulgar fraction weight whole wide wine yards

### Popular passages

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 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 38 - 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 44 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.

Page 265 - ... vessel; and if such ship or vessel be single-decked, take the length and breadth, as above directed, deduct from the said length...

Page 27 - One thousand eight hundred and twenty five, the Standard Measure of Capacity, as well for Liquids as for dry Goods not measured by Heaped Measure, shall be the Gallon., containing Ten Pounds Avoirdupois Weight of distilled Water weighed in Air, at the Temperature of Sixty two Degrees of Fahrenheit's Thermometer, the Barometer being at Thirty Inches...

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 203 - 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. Write the rates of the simples' in a column under each other.

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 42 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.