## 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 |

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**required**. The method of proof is the same as in simple multiplica- tion . EXAMPLES OF MONET . 1 , 9lb . of tobacco , at 2s . 8^d . per lb. 2s . 84d . 9 11. 4s . 4|d . the**answer**. OF ( 17 CAL * The product of a number , consisting of ... Page 52

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**Answer**. 2. Multiply 4f . 7 ' by 6f . 4 ′ 0 ′′ . 3. Multiply 14f . 9 ′ by 4f . 6 ' . Ans . 29f . 0 ' 4 " . Ans . 66f ...**Required**the content of a floor 48f . 6 ' long , and 24f . 3 ' broad . Ans . 1176f . 1 ' 6 " . 10. What is the ... Page 55

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**answer**. 3. If 1 happen to be the cammon measure , the given num- bers are prime to each other , and found to be incommeasur- able . EXAMPLES . 1.**Required**the greatest common measure of 918 , 1998 , and 522 . 918 ) 1998 ( 2 1836 162 ) ... Page 58

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**required**. EXAMPLES . 1. Reduce 144 to its lowest terms . ( * ) ( » ) ( 3 ) ( * ) ( 2 ) 144 72 -30 12. 6-3 , the**answer**. 240 120 60 Or thus : 144 ) 240 ^ 1 144 96 ) 144 ( 1 96 48 ) 96 ( 2 96 Therefore 48 is the greatest common measure ... Page 59

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**answer**. 9 21 2. Reduce 183 to its equivalent improper fraction . 16 3. Reduce 514 to an improper fraction . 4 ...**required**. denominator , and are taken altogether as proper and adequate expressions for the quotient . Thus the ...### 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