## 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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**Square Root**Cube Root Cube Root by Approximation Roots of Powers in general Do. by Approximation Arithmetical Progression Geometrical do . Simple Interest Commission Brokerage by Decimals Insurance Discount by Decimals · 8883 86 • 87 91 ... Page iv

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**Square Root**Cube Root Cube Root by Approximation Roots of Powers in general Do. by Approximation Arithmetical Progression Geometrical do . Simple Interest 138 143 145 148 · 150 151 156 164 by Decimals 166 Commission Brokerage 168 · ibid ... Page vi

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**Square Root**Cube Root Cube Root by Approximation Roots of Powers in general Do. by Approximation Arithmetical Progression Geometrical do . Simple Interest Commission Brokerage Insurance Discount by Decimals by Decimals · 83 86 • 87 · 91 ... Page 13

... square ; thus , x3 sig- nifies the square of x . 73 Signifies the third power , or cube . Signifies any power . o r ~~ , Signifies the

... square ; thus , x3 sig- nifies the square of x . 73 Signifies the third power , or cube . Signifies any power . o r ~~ , Signifies the

**square root**; thus ✓x , or x signifies the**square root**of x . 3✓ , or3 , Signifies the cube root ... Page 136

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**square**of ' 027 ? 3. What is the third power of 3'5 ? 4. What is the fifth power of ' 029 ? Ans . 2025 . Ans ...**Root**of any given number , or power , is such a num- ber as , being multiplied by itself a certain number of times ...### 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