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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Page 9
... write any proposed number in characters . * As it is absolutely necessary to have a perfect knowledge of our excellent method of notation , in order to understand the reasoning made use of in the following Notes , I shall endeavour to ...
... write any proposed number in characters . * As it is absolutely necessary to have a perfect knowledge of our excellent method of notation , in order to understand the reasoning made use of in the following Notes , I shall endeavour to ...
Page 10
... the seventh place is three million ; and the whole number is read thus , three million , four hundred and fifty six thousand , seven hundred and eighty nine . 11. To write Numbers . RULE . Write the figures 10 MATHEMATICS .
... the seventh place is three million ; and the whole number is read thus , three million , four hundred and fifty six thousand , seven hundred and eighty nine . 11. To write Numbers . RULE . Write the figures 10 MATHEMATICS .
Page 11
... write Numbers . RULE . Write the figures in the same order as their values are ex- pressed in , begining at the left , and writing toward the right ; remembering to supply those places of the natural order with cyphers , which are ...
... write Numbers . RULE . Write the figures in the same order as their values are ex- pressed in , begining at the left , and writing toward the right ; remembering to supply those places of the natural order with cyphers , which are ...
Page 12
... Write in figures the following numbers . Eighty one . Two hundred and eleven . One thousand and thirty nine . A million and a half . A hundred and four score and five thousand . Eleven thousand million , eleven hundred thousand and ...
... Write in figures the following numbers . Eighty one . Two hundred and eleven . One thousand and thirty nine . A million and a half . A hundred and four score and five thousand . Eleven thousand million , eleven hundred thousand and ...
Page 18
... write the remainder , carrying one to the next figure in the lower line , with which proceed as before ; and so on till the whole is finished . Method of Proof . Add the remainder to the less number , and if the sum be equal to the ...
... write the remainder , carrying one to the next figure in the lower line , with which proceed as before ; and so on till the whole is finished . Method of Proof . Add the remainder to the less number , and if the sum be equal to the ...
Contents
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Common terms and phrases
affirmative amount of 11 angle annuity annum arithmetical Bisect carats cent centre chord circle circumference coefficient common denominator completing the square compound interest compound quantity consequently cube root debt decimal denoted diameter difference Divide dividend division divisor draw equal equation EXAMPLES exponent figure fourth gallons geometrical progression geometrical series give given number greater greatest common measure half improper fraction infinite series less number logarithm manner Multiply negative NOTE nth root number of combinations number of terms number of things payment perpendicular polygon present worth PROBLEM proportion quadratic equation quotient radius ratio Reduce remainder repetend required to find right line RULE sides simple interest sine square root subtract Suppose surd taken tangent third unknown quantity vulgar fraction Whence whole number 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,