## 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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**Surds**280 Infinite Series 289 Simple Equations • 295 Reduction of two , three , or more Simple Equations to one 301 LIBRARY CF IPH UNIVERSITY OF CALIFORNIA 1 FEDERAL MONEY . CIRCULATING DECIMALS Reduction of Circulating Decimals ... Page v

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**Surds**280 Infinite Series 289 Simple Equations • 295 Reduction of two , three , or more Simple Equations to one 301 LIPPAR OF THE UNIVERSITY OP MALIK OF NIE FEDERAL MONEY · CIRCULATING DECIMALS Reduction of Circulating Decimals Addition ... Page vii

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**Surds**Infinite Series Simple Equations 259 273 27.7 280 289 295 Reduction of two , three , or more Simple Equations to one 301 LIBRAR CF TFF UNIVERZITY OF CALIFORNIA Quadratic Equations 316 Cubic and Higher Equations 330 GEOMETRY ... Page 137

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**surd**or irrational number : so 4 is a com- plete power of the second kind , its root being 2 ; but an im- perfect power of the third kind , its root being a**surd**num- ber . Evolution is the finding of the roots of numbers either ac ... Page 235

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**surds**; whereof those consisting of one term only , as ✓a and V a x , are called simple**surds**; and those consisting of several terms , as Vab + cd and a22 + c , compound**surds**, 16. When any quantity is to be taken more than once ...### 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