## 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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... Numbers . RULE . To the simple value of each figure join the name of its place , beginning at the left and ...

... Numbers . RULE . To the simple value of each figure join the name of its place , beginning at the left and ...

**whole number**is read thus , three million , four hundred and fifty six thousand , seven hundred and eighty nine . 11 ... Page 14

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**number**, called the sum . RULE . * 1. Place the**numbers**under each other , so that units may stand under units ...**whole**is equal to the sum of all its parts . " All ) that requires explaining , is the method of placing the**numbers**... Page 15

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**whole**is finished . This method depends on a property of the**number**9 , which belongs to no other digit whatever , except 3 , namely , that any**number**divided by 9 leaves the same remainder , as the sum of its figures or digits divided ... Page 16

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**number*** 2. Add all the other**numbers**, and set their sum under the sum of all the**numbers**. 3* Add the**number**last ...**whole**. Α This rule was first given by Dr. Wallis in his Arithmetic , published A. D. 1657 , and is a very ... Page 17

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**number**from a greater of the same denomination , and thereby shows the difference or remainder . The less**number**...**whole**, so must the sum of the dif rences of all the similar parts be equal to the difference of the wholes , or ...### 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