## 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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**called**a cypher , and the rest , or rather all of them , are**called**figures or digits . The names and signification of these characters , and the origin or generation of the numbers they stand for , are as follow ; 0 nothing ; 1 one 5 ... Page 10

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**called**an unit ; 1 and 1 are 2 two ; 2 and 1 are 3 three ; 3 and 1 are 4 four ; 4 and 1 are 5 five ; 5 and 1 are 6 six ; 6 and 1 are 7 seven ; 7 and 1 are 8 eight ; 8 and I are 9 nine ; and 9 and 1 are ten , which has no single ... Page 13

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**called**the index , or exponent . A line ,**called**a vinculum , drawn over several numbers , sig- nifies , that the numbers under it are to be considered joint- ly ; thus , 20—7 + 8 = 5 ; but without the vinculum , 20—7 + 8 21. The same ... Page 14

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**called**the sum . RULE . * 1. Place the numbers under each other , so that units may stand under units , tens under tens , & c . and draw a line un- der them . * This rule , as well as the method of proof , is founded on the . known ... Page 17

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**called**the subtrahend ; the other , the mi- nuend ; and the number , that is found by the operation , the remainder or difference . RULE . * 1. Place the less number under the greater , so that units may stand under units , tens under ...### 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