## 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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**coefficient**: thus , 2a signifies twice a , or a taken twice , and the numeral**coefficient**is 2 ; 3x signifies , that the quantity is multiplied by 3 , and the numeral**coefficient**is 3 ; also 5 Vx2 + a denotes , that the quantity is mul ... Page 236

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**coefficient**of x is ; 3x x , or 4 so likewise signifies of x , and the**coefficient**of x is 4 17. like quantities are those , that are represented by the same letters under the same powers , or which differ only in their**coefficients**... Page 238

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**coefficients**together , to their sum join the com-- mon letters , and perfix the common sign when necessary ...**coefficient**must be subtracted from the other , to obtain the incorporated or united mass . As to the third case ... Page 239

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**coefficient**from the greater , to the re- mainder prefix the sign of the greater , and annex their common letters or quantities . covered , in whole or in part ; such incorporation of two or more quantities into one is plainly effected ... Page 240

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**coefficients**of the two quantities , viz . + 2c and 2c , are equal to each other , therefore they destroy one ano- ther , and so their sum makes 0 , or * , which is frequently used , in algebra , to signify a vacant place . 13 . 6vax + ...### 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