## 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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**unknown**, or required**quantities**, by the last letters , as * , y , z . Note . The signs , or characters , explained ...**quantity**, or the first in a series of quanti- ties , then the sign + is frequently omitted : thus a signifies ... Page 233

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**quantity**consist of two terms , it iS called a binomial , as a + b ; if of three terms , a trinomial , as a + b + c ...**unknown**/ which is the great- er of the two , we write them thus , a n b , which denotes the difference of a ... Page 295

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**unknown quantity**, in its simple form , or not raised to any power . Thus , x — a + b = c is a simple equation , containing only the**unknown quantity**x . Reduction of equations is the method of finding the value of the unknown ... Page 296

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**unknown**term be multiplied by any**quantity**, that**quantity**may be taken away by dividing all the other terms of the equation by it . Thus , if ax - ab - a , then will x = b - 1 . And if 2x + 4 = 16 , then will x + 2 = 8 , and x = 8—2 ... Page 301

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**UNKNOWN QUANTITIES**. PROBLEM I . To exterminate two**unknown quantities**, or to reduce the two simple equations ... quantity in it , whose value may be found as before , EXAMPLES . 1. Given ( 2x + 3y = 23 } : 5x - 2y = 10 ; to find ...### Contents

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### Other editions - View all

### 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