A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα vii
... greatest common divisor of the two numbers To reduce a whole number to a fraction , having a given 33 denominator To reduce a mixed number to an improper fraction To reduce an improper fraction to a whole or mixed number 355 35 36 · To ...
... greatest common divisor of the two numbers To reduce a whole number to a fraction , having a given 33 denominator To reduce a mixed number to an improper fraction To reduce an improper fraction to a whole or mixed number 355 35 36 · To ...
Σελίδα ix
... greatest common divisor of two polynomials To reduce a mixed quantity to an improper fraction To reduce improper fractions to a whole or mixed quantities Multiplication of fractions 132 136 137 138 Division of fractions 140 To reduce ...
... greatest common divisor of two polynomials To reduce a mixed quantity to an improper fraction To reduce improper fractions to a whole or mixed quantities Multiplication of fractions 132 136 137 138 Division of fractions 140 To reduce ...
Σελίδα 33
... greatest number that will divide two numbers with- out remainder , is called the greatest common divisor of those numbers ; and the application of the preceding rule involves the following problem : - To find the greatest common divisor ...
... greatest number that will divide two numbers with- out remainder , is called the greatest common divisor of those numbers ; and the application of the preceding rule involves the following problem : - To find the greatest common divisor ...
Σελίδα 34
... common divisor of the lines A B and DE ; and as we have taken , in each division , the greatest line which would divide both lines , it is the greatest common divisor . This demonstration is independent of the length of the given lines ...
... common divisor of the lines A B and DE ; and as we have taken , in each division , the greatest line which would divide both lines , it is the greatest common divisor . This demonstration is independent of the length of the given lines ...
Σελίδα 35
... greatest common divisor of 24 and 60 ; and by the last di- vision to finding the greatest common divisor of 12 and 24 ; and since 12 will divide both itself and 24 without remainder , it is the greatest common divisor of these two ...
... greatest common divisor of 24 and 60 ; and by the last di- vision to finding the greatest common divisor of 12 and 24 ; and since 12 will divide both itself and 24 without remainder , it is the greatest common divisor of these two ...
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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.