## Mathematics: Compiled from the Best Authors, and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volume 1W. Hilliard, 1808 - Mathematics |

### From inside the book

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**sought**; because , as the sum of the parts is equal to the whole , so must the sum of the dif rences of all the similar parts be equal to the difference of the wholes , or given numbers . 2. When any figure of the greater number is less ... Page 80

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**sought**. XXANFLSS . 1. Reduce 15s . 9 d . to the decimal of a pound . 4 3 * 12 9*75 20 15*8125 ' 790625 the decimal required . 2. Reduce 9s . to the decimal of a pound . 3. Reduce 19s . 5^d . to the decimal of a pound . Ans . 45 Ans ... Page 115

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**sought**. This rule is often named the Double Rule of Three , be- cause its questions are sometimes performed by two opera^ tions of the Rule of Three . RULE FOR STATING . 1. Write the term of supposition ARITHMETIC . 115 Compound ... Page 116

... is evident , that , if all the separate dividends be collected into one dividend , and all the divisors into one divisor , their quotient must be the answer

... is evident , that , if all the separate dividends be collected into one dividend , and all the divisors into one divisor , their quotient must be the answer

**sought**. namely , by one operation . And after the stating 116 MATHEMATICS . Page 153

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**sought**. * The difference of the first and last terms evidently shows the increase of the first term by all the subsequent additions , till it becomes equal to the last ; and as the number of those ad^ ditions is evidently one less than ...### Contents

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### Common terms and phrases

2qrs amount of 11 angle annuity annum answer required arithmetical called carats cent centre circle circumference coefficient common denominator completing the square compound interest cube root debt decimal denoted diameter discount Divide dividend division divisor equal equation EXAMPLES exponent figures Find the present fourth gallon geometrical progression geometrical series give given number greater greatest common measure improper fraction least common multiple less number logarithm manner Multiply natural number negative NOTE nth root number of combinations number of terms number of things payment perpendicular pound present worth PROBLEM proportion quotient radius ratio Reduce remainder repetend required to find rule of three sides simple interest sought square root subtract Suppose supposition surd taken tare triangle unknown quantity vulgar fraction Whence whole number yards