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 1
W. Hilliard, 1808 - Mathematics
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added addition amount angle annuity answer arithmetical called cent centre changes chord circle circumference combinations common compound consequently contained continually cube decimal DEMONSTRATION denominator describe diameter difference Divide dividend division divisor double draw equal equation evident EXAMPLES expressed extremes feet figure four fourth fraction gain gallons geometrical give given number greater half Hence interest least length less letters logarithm manner means measure method mixed months Multiply namely nature negative Note operation payment perpendicular pound present worth PROBLEM proof proportion quantity question quotient radius ratio reason Reduce remainder root RULE shillings sides simple sine sought square square root subtract Suppose surd taken tangent things third triangle true units weight Whence whole write yards
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 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 313 - 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.