## 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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**number**of one denominotion , by repeating it any proposed**number**of times . The**number**, to be multiplied , is ...**terms**or factors . Multiplication and Division table . • 2 3 | 4 | 5 | 6 | 7 | 8 | 9 10 11 12 24 6 8 10 12 14 36 9 ... Page 21

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**numbers**will make this truth evident ; for 3 x 7 = 21 = 7x3 ; and , in general , 3 x 4 x 5 X 6 , & c . = 4 x 3 x 6 x 5 , & c . without any regard to the order of the**terms**; and this is true of any**number**of factors whatever . The ... Page 57

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**terms**. RULE * . Divide the**terms**of the given fraction by any**number**, that Will divide them without a remainder , and these quotients that 15 is the least**number**, that can be divided by 3 and 5 with- out a remainder ; and that 120 is ... Page 58

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**number**greater than 1 , which will divide them * and the fraction willl be in its lowest**terms**. Or , Divide both the**terms**of the fraction by their greatest common measure , and the quotients will be the**terms**of the fraction required ... Page 61

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**terms**of the frac- tion by the same**number**, and use the quotients instead thereof . EXAMPLES . 1. Reduce of of of ...**numbers**than 2 , the first two may be reduced to one , and that one and the third will be the same as 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