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 13
... drawn over several numbers , sig- nifies , that the numbers under it are to be considered joint- ly ; thus , 20-7 + 8 = 5 ; but without the vinculum , 20—7 + 8 21. The same thing is also sometimes expressed by a pa- renthesis ...
... drawn over several numbers , sig- nifies , that the numbers under it are to be considered joint- ly ; thus , 20-7 + 8 = 5 ; but without the vinculum , 20—7 + 8 21. The same thing is also sometimes expressed by a pa- renthesis ...
الصفحة 14
... draw a line un- der them . * This rule , as well as the method of proof , is founded on the known axiom , " the whole is equal to the sum of all its parts . " All , that requires explaining , is the method of placing the numbers , and ...
... draw a line un- der them . * This rule , as well as the method of proof , is founded on the known axiom , " the whole is equal to the sum of all its parts . " All , that requires explaining , is the method of placing the numbers , and ...
الصفحة 15
... its being more convenient in practice . Now from the demonstration here given , the reason of the rule itself is evident ; for the excess of nines in each of two or METHOD OF PROOF . 1. Draw a line between the ARITHMETIC . 15 .
... its being more convenient in practice . Now from the demonstration here given , the reason of the rule itself is evident ; for the excess of nines in each of two or METHOD OF PROOF . 1. Draw a line between the ARITHMETIC . 15 .
الصفحة 16
... Draw a line between the first and second lines of figures to cut off the first number . 2. Add all the other numbers , and set their sum under the sum of all the numbers . 3. Add the number last found and the number cut off ; and if ...
... Draw a line between the first and second lines of figures to cut off the first number . 2. Add all the other numbers , and set their sum under the sum of all the numbers . 3. Add the number last found and the number cut off ; and if ...
الصفحة 17
... draw line under them . # * DEMON . 1. When all the figures of the less number are less than their correspondent figures in the greater , the differ- ences of the figures in the several like places must , taken to- gether , make the true ...
... draw line under them . # * DEMON . 1. When all the figures of the less number are less than their correspondent figures in the greater , the differ- ences of the figures in the several like places must , taken to- gether , make the true ...
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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,