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 To multiply a fraction by a fraction To divide a fraction by a fraction Reduction of fractions • To ...
... Division · 17 20 CHAPTER II . Fractions - Definitions To multiply a fraction by a whole number To divide a fraction by a whole number To multiply a fraction by a fraction To divide a fraction by a fraction Reduction of fractions • To ...
Σελίδα viii
... Division of decimals PAGE 40 41 43 66 45 46 47 48 52 54 55 39 59 60 62 8:88 CHAPTER III . Involution and evolution To involve a number to a given power Evolution Extraction of the square root 63 · 65 66 67 Extraction of the cube root 70 ...
... Division of decimals PAGE 40 41 43 66 45 46 47 48 52 54 55 39 59 60 62 8:88 CHAPTER III . Involution and evolution To involve a number to a given power Evolution Extraction of the square root 63 · 65 66 67 Extraction of the cube root 70 ...
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 Application of algebra to investigating the properties of ...
... 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 Application of algebra to investigating the properties of ...
Σελίδα x
... Division of radicals 236 Involution of radicals Evolution of radicals Of imaginary quantities Multiplication of quantities having fractional exponents Division of quantities having fractional exponents . Formation of powers Extraction ...
... Division of radicals 236 Involution of radicals Evolution of radicals Of imaginary quantities Multiplication of quantities having fractional exponents Division of quantities having fractional exponents . Formation of powers Extraction ...
Σελίδα xi
... Division by logarithms 66 • Involution by logarithms 66 · Evolution by logarithms 295 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 · Evolution by logarithms 295 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
2d power a²+2ab+b² a²b² a²x ab² added algebraic quantity Arith arithmetical progression ax² becomes Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction Divide the numerator dividend division equation evident EXAMPLES exponent expressed Extract the square extracting the root factors Find the greatest Find the sum find the value geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple letters logarithms lowest terms merator mixed number multiplicand Multiply nator nth root number of terms operation orders of units polynomials Prod quan quotient radical ratio remainder required to find result simple fraction square root subtractive terms tens tion tity unity unknown quantity vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 117 - 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.
Σελίδα 178 - 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 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 161 - B with $96. A lost twice as much as B; and, upon settling their accounts, it appeared that A had three times as much remaining as B. How much did each lose ? Ans. A lost $96, and B lost $48.
Σελίδα 132 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
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 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 262 - A and B hired a pasture, into which A put 4 horses, and B as many as cost him 18 shillings a week ; afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired? Ans.
Σελίδα 60 - Multiply as in whole numbers, and from the right hand of the product point off as many figures for decimals as there are decimal places in both factors.