## 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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**quotient**will be , over the dividend , the first number of the column . RULE . * 1. Place the multiplier under the multiplicand , so that units may stand under units , tens under tens , & c . and draw a line under them . * Demon . 1 ... Page 24

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**quotient**. * The reason of this method is obvious ; for any number , multiplied by the component parts of another number , must give the same product , as if it were multiplied by that number at once ; thus , in example the second , 7 ... Page 25

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**quotient**, taken as one number , according to the order , in which they are placed , is the true**quotient**of the whole dividend by the divisor , which may be thus demonstrated . Demon . The complete value of the first part of the ... Page 26

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**quotient**. 2d remainder 2800 add 00 - 3d part of the dividend 2800 36 X 70 = 2520 - 70 the 3d**quotient**. 3d remainder - 280 add 4th part of the dividend 289 36 X 8 288 - - 8 the 4th**quotient**. Last remainder 1 2378 sum of the**quotients**... Page 27

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**quotient**already found ; if half the divisor , the part is one half , or one half of the divisor is , in addition to the**quotient**al- ready found , contained in the dividend ; and so on . In order therefore to complete the**quotient**...### 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