## 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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Page iii

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**LOGARITHMS**.**LOGARITHMS**Computation of**Logarithms**216 218 Description and Use of the Table of**Logarithms**222 Multiplication by**Logarithms**226 Division by do . 228 Involution by do . 229 Evolution by do . 230 ALGEBRA . Definitions and ... Page v

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**LOGARITHMS**.**LOGARITHMS**Computation of**Logarithms**Description and Use of the Table of**Logarithms**Multiplication by**Logarithms**Division by do . Involution by do . Evolution by do . 216 218 222 226 228 229 230 ALGEBRA . Definitions and ... Page vii

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**LOGARITHMS**.**LOGARITHMS**216 Computation of**Logarithms**218 Description and Use of the Table of**Logarithms**222 Multiplication by**Logarithms**226 Division by do . 228 Involution by do . 229 Evolution by do . 230 ALGEBRA . Definitions and ... Page 163

... L , l — L , s — rx8- L , r n 1 a r l - s 1-8 Here < a = least term . -- greatest term . s sum of all the terms . 12 = number of terms . r = ratio . L =

... L , l — L , s — rx8- L , r n 1 a r l - s 1-8 Here < a = least term . -- greatest term . s sum of all the terms . 12 = number of terms . r = ratio . L =

**Logarithms**. +1 . the first nail in his shoes , 2 farthings for ARITHMETIC . 163. Page 183

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**logarithms**, as follows . 1. txlog . r + log . p = iog . m . II . log . mtxlog.r = log . p III . log.m - log - m log . r = t . Y ...**logarithm**of the root sought . EXAMPLES . 1. What is the compound interest of 50(3. ARITHMETIC . 183.### 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