## 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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Page viii

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**figures**. 406-425 certain lines belonging to a circle , its areas , and the areas of parts of it the areas of long irregular**figures**the circumferences and areas of the Conic Sections 425-451 451 · 452 - end . ARITHMETIC . NUMBER is ... Page 9

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**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 or a single Vol . I. B 1. To read Numbers . RULE . To the simple OF ... Page 10

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**figures**, as above noted , they have each a local value according to the following law , namely , in a combination of**figures**, reckoning from right to left , the**figure**in the first place represents its primitive simple val- ue ; that ... Page 11

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**figures**in the same order as their values are ex- pressed in , begining at the left , and writing toward the right ; remembering to supply those places of the natural order with cyphers , which are omitted in the question . 4. A cypher ... Page 12

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**figures**the following numbers . Eighty one . Two hundred and eleven . One thousand and thirty nine . A million and a half . A hundred and a half . A hundred and four score and five thousand . Eleven thousand million , eleven hundred ...### 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