## 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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**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 thing is also sometimes ... Page 135

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**exponent**, of the power ; so the index of the first power is 1 , that of the second power is 2 , and that of the third is 3 , & c . Note 2. Powers are commonly denoted by writing their indices above the first power ; so the second power ... Page 216

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**exponents**of ratios ; or a series of numbers in arithmetical progression , answering to another series of numbers in geometrical progression . 0 , 1 , 2 , 3 , 4 , 5 , 6 , indices , or logarithms . Thus 1 , 2 , 4 , 8 , 16 , 32 , 64 ... Page 234

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**exponents**; thus , 2 is the index or exponennt of a2 ; 3 is that of x3 ; 4 is that of x , & c . But the**exponent**of the first power , though generally omitted , is unity , or 1 ; thus a1 signifies the same as a , name- ly , the first ... Page 236

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**exponent**is one , that is denoted by a letter instead of a figure : thus , the quantity x has a general ex- ponent , namely , m , which universally denotes the mth pow- er of the root x . Suppose m = 2 , then will x = x ; if m = 3 ...### 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