A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα iii
... perform operations upon num- bers , by rules , the principles of which , he is rarely required to investigate , and which , for the most part , the books that are put into his hands , do not even profess to demonstrate . He thus begins ...
... perform operations upon num- bers , by rules , the principles of which , he is rarely required to investigate , and which , for the most part , the books that are put into his hands , do not even profess to demonstrate . He thus begins ...
Σελίδα 25
... performed mentally , instead of being written out at length . EXAMPLES . Divide 8834679 by 3 , 3 ) 8834679 2944893 the quotient . Divide 973624793 by 7 . Ans . 1390892564 . Divide 17346235782 by 8 . Ans . 2168279472g . Divide 936237021 ...
... performed mentally , instead of being written out at length . EXAMPLES . Divide 8834679 by 3 , 3 ) 8834679 2944893 the quotient . Divide 973624793 by 7 . Ans . 1390892564 . Divide 17346235782 by 8 . Ans . 2168279472g . Divide 936237021 ...
Σελίδα 30
... performed ( 21 ) by multiplying the denomina- tor of the multiplicand . Thus , in multiplying by , the product of by 4 is , which is five times too large ; for each of the units in 4 is but the fifth part of the unit of which is a ...
... performed ( 21 ) by multiplying the denomina- tor of the multiplicand . Thus , in multiplying by , the product of by 4 is , which is five times too large ; for each of the units in 4 is but the fifth part of the unit of which is a ...
Σελίδα 43
... performing the multiplication , be- 5 × 4 20 in like manner we obtain 3 for the multi- 12 × 4 48 comes plier of the second fraction , which becomes 7x3 21 16 × 3 48 * The least number which can be divided , by several other numbers ...
... performing the multiplication , be- 5 × 4 20 in like manner we obtain 3 for the multi- 12 × 4 48 comes plier of the second fraction , which becomes 7x3 21 16 × 3 48 * The least number which can be divided , by several other numbers ...
Σελίδα 78
... performed upon the proportion above , we have , α by reducing the fractions and tor , b d to a common denomi- a x d cx b - bxd b x d In this , as in the former case , the fractions being equal , and the denominators the same , the ...
... performed upon the proportion above , we have , α by reducing the fractions and tor , b d to a common denomi- a x d cx b - bxd b x d In this , as in the former case , the fractions being equal , and the denominators the same , the ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
2ab+b² 2d power 4th power a²b² a²x a²x² added additive terms algebraic quantities Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained cube root dividend division dollars equa evident EXAMPLES exponent expression Extract the cube Extract the square extracting the root factors Find the greatest Find the sum find the value fourth geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple less letter logarithms lowest terms merator mixed quantity monomial multiplicand nth root number of terms obtain polynomial Prod proportion quan quotient ratio remainder required to find result RULE simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 161 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Σελίδα 184 - 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.
Σελίδα 186 - ... of the sum of the shares of the other three, the share of the second ^ of the sum of the other three, and the share of the third...
Σελίδα 70 - ... 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...
Σελίδα 63 - To divide a Decimal by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor...
Σελίδα 187 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Σελίδα 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 62 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.