## 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 farthings be more than 12 , a part is greater than , and therefore 1 must be added ; and when the**number**of far-**things**is more than 37 , a part is greater than 1| , for which 2 must be added ; and thus the rule is shown t» be ... Page 98

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**number**; if greater , write the greater of the lectively , form a demonstration of the rule , and of the reductions ...**things**of the same kind , so thai one can , in a proper sense , be contained in the other . Thus there can be ... Page 198

... how many different ways the order or position of any given

... how many different ways the order or position of any given

**number of things**may be changed . This is alsp called Variation , Alternation , or Changes ; and the only thing to be regarded here is the order they stand in ; for no two ... Page 199

... number of permutations , or changes , that can be made of any given

... number of permutations , or changes , that can be made of any given

**number of things**, all different from each other , RULE . * Multiply all the terms of the natural series of numbers , from 1 up to the given number , continually ... Page 200

... number of different things being given , to find how ma- ny changes can be made out of them , by taking any given number at a time . RULE . * Take a series of numbers , beginning at the

... number of different things being given , to find how ma- ny changes can be made out of them , by taking any given number at a time . RULE . * Take a series of numbers , beginning at the

**number of things**given , and decreasing by 1 till 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