## Mathematics, Volume 1 |

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### Contents

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### Common terms and phrases

added addition affirmative amount angle annuity annum answer arithmetical called cent centre changes circle coefficient combinations common compound consequently contained continually cube debt decimal DEMONSTRATION denominator denoted describe difference Divide dividend division divisor double draw equal equation evident EXAMPLES expressed extracting extremes feet figure four fourth fraction gallons geometrical give given number greater greatest half Hence indices interest least less letters logarithm manner means measure method mixed months Multiply namely nature negative Note operation payment perpendicular pound present worth PROBLEM proportion quantity question quotient radius ratio reason Reduce remainder RULE share shillings sides simple sought square root subtract Suppose surd taken things third triangle true units unknown weight Whence whole write yards

### Popular passages

Page 175 - RULE.* — Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the true time required.

Page 140 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.

Page 255 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 198 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...

Page 149 - To the remainder bring down the first figure in the next period, and call it the dividend. 4. Involve the root to the next inferior power to that which is given, and multiply it by the number denoting the given power, for a divisor.

Page 315 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.

Page 124 - As the sum of the several products, Is to the whole gain or loss ; So is each man's particular product, To his particular share of the gain or loss.

Page 139 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Page 120 - When it is required to find how many of the first sort of coin, weight or measure, mentioned in the question, are equal to a given quantity of the last.

Page 132 - When one of the ingredients is limited to a certain quantity. RULE. Take the difference between each price and the mean rate, as before ; then,