## The North American arithmetic: for advanced scholars |

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### Common terms and phrases

75 cents acres annuity annum avoirdupois bajocchi Bill breadth bushels called carats cask cents amount ciphers common difference compound interest contain continual proportionals cost cube root denominator denoted diameter discount dividend divisor dollars 50 cents dry measure Ducat equal example exchange expressed Extract the square factors Federal money feet long figure Flemish florin foot francs frustrum gallons given number grotes Flemish Hamburgh hogshead hundred improper fraction last term least common multiple length London maravedis mean proportional measure merchant miles minuend mixed number multiplied number of terms number of things ounces paid payable payment pence pezza places pound sterling pounds present worth quantity quotient ratio received Reduce remainder repetend rix dollar rods rule rupee scudo series of continual shillings sold Spanish dollars square root sterling Subtract Suppose third power United vulgar fraction weight whole number wide wine yards of cloth

### 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.