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, المجلد 1W. Hilliard, 1808 |
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الصفحة 84
... 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 ...
... 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 ...
الصفحة 127
... 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 ...
... 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 ...
الصفحة 128
... carats fine , with 12lb . 8oz . of 18 carats fine ; how many carats fine is this mixture ? Ans . 16 carats . 04 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 ...
... carats fine , with 12lb . 8oz . of 18 carats fine ; how many carats fine is this mixture ? Ans . 16 carats . 04 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 ...
الصفحة 130
... 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 1s . and water at 0 per gallon together , so that the ...
... 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 1s . and water at 0 per gallon together , so that the ...
الصفحة 131
... carats fine must be mixed together to form a composition of 40 ounces of 20 carats fine ? Ans . 5oz . of 15 , of 17 , and of 18 , and 25 of 22 . And the sum of these is 12 + 28-40 , which should have been but 10 , whence , by the rule ...
... carats fine must be mixed together to form a composition of 40 ounces of 20 carats fine ? Ans . 5oz . of 15 , of 17 , and of 18 , and 25 of 22 . And the sum of these is 12 + 28-40 , which should have been but 10 , whence , by the rule ...
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عبارات ومصطلحات مألوفة
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
مقاطع مشهورة
الصفحة 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.
الصفحة 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.
الصفحة 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.
الصفحة 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...
الصفحة 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.
الصفحة 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.
الصفحة 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.
الصفحة 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...
الصفحة 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.
الصفحة 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,