A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα vii
... Division 17 20 CHAPTER II . Fractions - Definitions To multiply a fraction by a whole number To divide a fraction by a whole number 27 28 29 To multiply a fraction by a fraction 30 To divide a fraction by a fraction Reduction of ...
... Division 17 20 CHAPTER II . Fractions - Definitions To multiply a fraction by a whole number To divide a fraction by a whole number 27 28 29 To multiply a fraction by a fraction 30 To divide a fraction by a fraction Reduction of ...
Σελίδα viii
... Division of decimals · 52 54 55 66 59 60 66 62 Involution and evolution CHAPTER III . · To involve a number to a given power Evolution Extraction of the square root · 63 65 66 67 Extraction of the cube root 70 CHAPTER IV . Ratios and ...
... Division of decimals · 52 54 55 66 59 60 66 62 Involution and evolution CHAPTER III . · To involve a number to a given power Evolution Extraction of the square root · 63 65 66 67 Extraction of the cube root 70 CHAPTER IV . Ratios and ...
Σελίδα ix
... Division of algebraic quantities - Of monomials To divide a polynomial by a monomial To divide one polynomial by another PAGE 96 98 99 100 102 105 106 107 · 113 115 117 124 128 130 Application of algebra to investigating the properties ...
... Division of algebraic quantities - Of monomials To divide a polynomial by a monomial To divide one polynomial by another PAGE 96 98 99 100 102 105 106 107 · 113 115 117 124 128 130 Application of algebra to investigating the properties ...
Σελίδα x
... Division of radicals 236 Involution of radicals 237 Evolution of radicals 238 Of imaginary quantities Multiplication of quantities having fractional exponents Division of quantities having fractional exponents . Formation of powers ...
... Division of radicals 236 Involution of radicals 237 Evolution of radicals 238 Of imaginary quantities Multiplication of quantities having fractional exponents Division of quantities having fractional exponents . Formation of powers ...
Σελίδα xi
... Division by logarithms 66 Involution by logarithms 66 295 Evolution by logarithms Reduction of exponental equations by logarithms Properties of the common system of logarithms formed upon the base 10 · Application of logarithms to ...
... Division by logarithms 66 Involution by logarithms 66 295 Evolution by logarithms Reduction of exponental equations by logarithms Properties of the common system of logarithms formed upon the base 10 · Application of logarithms to ...
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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.