## 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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... the other ; but it would have been contra- ry to good method to

... the other ; but it would have been contra- ry to good method to

**give**this rule in the text , because the pu- pil is supposed as yet to be unacquainted with division . II . When the multiplier is the product of two ARITHMETIC . 23. Page 24

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**give**the same product , as if it were multiplied by that number at once ; thus , in example the second , 7 times the product of 8 , multiplied into the given number , makes 56 times that given number > as plainly as 7 times 8 makes 56 ... Page 26

... the absolute and perfect answer to the question ; but where there is a remainder , it may be observ- cd , that it

... the absolute and perfect answer to the question ; but where there is a remainder , it may be observ- cd , that it

**gives**a part of another unit for the quotient > which is 3. Multiply the divisor by the quotient figure , and 26 MATHEMATICS . Page 28

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**gives**the integral quotient 2 , and remainder 5 ; but 17 , divided by 2 ,**gives**the integral quotient 8 , and remainder ...**give**an example , proved according to all the different methods . 87 ) 123456789 ( 1419043 87 * 87 EXAMPLE ... Page 51

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**give**feet . Feet by primes**give**primes . Feet by seconds**give**seconds , & c . Primes by primes**give**seconds . Primes by seconds**give**thirds . Primes by thirds**give**fourths , & c . Seconds by seconds**give**fourths . Seconds by thirds**give**...### 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