## 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

... a circle , its areas , and the areas of parts of it the areas of long irregular figures the

... 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 the abstract ratio of one quantity viii CONTENTS . Page 213

... the bargain ? Ans . 14s . 1d . sterling . 29. What annuity is sufficient to pay off 50 millions of pounds in 30 years , at 4 per cent . compound interest ? Ans . 28915051 . 30. There is an island 73 miles in

... the bargain ? Ans . 14s . 1d . sterling . 29. What annuity is sufficient to pay off 50 millions of pounds in 30 years , at 4 per cent . compound interest ? Ans . 28915051 . 30. There is an island 73 miles in

**circumference**, ARITHMETIC . Page 214

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**circumference**, and 3 footmen all start together to travel the same way about it ; A goes 5 miles a day , B 8 , and C 10 ; when will they all come together again ? Ans . 73 days . SI. A man , being asked how many sheep he had in his ... Page 315

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**circumference**, and 3 footmen all start together to travel the A goes 5 miles a day , B 8 , and C 10 ; come together again ? same way about it ; when wil they all Ans . 73 day* 25. If A can do a piece of work alone in 10 days , and A ... Page 345

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**circumference**itself is often called a circle . 45. The radius of a circle is a right line , drawn from the centre ...**circumference**on both sides . 47. An arc of a circle is any part of the**circumference**. 48. A chord is a right ...### 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