## 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 |

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**carats**and grains of a**carat**in gold , and by pen- ny - weights in silver . Alloy is used in gold and silver to harden them . NOTE .**Carat**is not any certain weight or quantity , but Of any weight or quantity ; and the minters and ... Page 127

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**carats**; but gold is often mixed with some baser metal , which is called the alloy , and the mixture is said to be of so many**carats**fine , ac- cording to the proportion of pure gold contained in it ; thus , if 22**carats**of pure gold ... Page 128

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**carats**fine , with 12lb . 84oz . of 18**carats**fine ; how many**carats**fine is this mixture ? Ans . 16**carats**. 5. A refiner melts 101b . of gold of 20**carats**fine with 16lb . of 18**carats**fine ; how much alloy must he put to it to make it 22 ... Page 129

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**carats**fine , with 12lb . 8oz . of 18**carats**fine ; how many**carats**fine is this mixture ? Ans . 160**carats**. 5. A refiner melts 10lb . of gold of 20**carats**fine with 16lb . of 18**carats**fine ; how much alloy must he put to it to make it 22 ... Page 130

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**carats**fine ; how much must be taken of each to make it 21**carats**fine ? Ans . 3 of 17 , 1 of 18 , 3 of 22 , and 4 of 24 . 5. It is required to mix brandy at 8s . wine at 7s . cider at Is . and water at 0 per gallon together , so that ...### 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