A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα ix
... Equations Equations of the first degree Solution of problems producing simple equations Solution of simple equations which involve more than one unknown quantity 147 148 158 168 PAGE Problems producing equations involving two or more un ...
... Equations Equations of the first degree Solution of problems producing simple equations Solution of simple equations which involve more than one unknown quantity 147 148 158 168 PAGE Problems producing equations involving two or more un ...
Σελίδα x
Silas Totten. PAGE Problems producing equations involving two or more un . known quantities 181 Involution CHAPTER III . Of negative exponents Involution of polynomials ... Equations of the second degree • Incomplete Χ CONTENTS . PAGE.
Silas Totten. PAGE Problems producing equations involving two or more un . known quantities 181 Involution CHAPTER III . Of negative exponents Involution of polynomials ... Equations of the second degree • Incomplete Χ CONTENTS . PAGE.
Σελίδα xi
Silas Totten. CHAPTER IV . Equations of the second degree • Incomplete equations of the second degree Complete equations of the second degree Questions producing equations of the second degree CHAPTER V. PAGE 249 250 255 262 equations ...
Silas Totten. CHAPTER IV . Equations of the second degree • Incomplete equations of the second degree Complete equations of the second degree Questions producing equations of the second degree CHAPTER V. PAGE 249 250 255 262 equations ...
Σελίδα 95
... frac tional form with the divisor beneath , is most commonly used . The coefficient is a number written before a letter , Definitions and notation Problems producing equations involving two or more known quantities 181.
... frac tional form with the divisor beneath , is most commonly used . The coefficient is a number written before a letter , Definitions and notation Problems producing equations involving two or more known quantities 181.
Σελίδα 146
... 54 956 470 11. Subtract from Ans . 3 27 27 a2b2 2a4b2 12. Subtract from 2a + b2 - 4a3 ab ** a3b Ans . 4a3 - ab 13a2 92a3b 13. Subtract from 36 12ab2 40a3b 10a2 Ans . 12ab2 36 * CHAPTER II . EQUATIONS . ( 28. ) An equation 146 ALGEBRA .
... 54 956 470 11. Subtract from Ans . 3 27 27 a2b2 2a4b2 12. Subtract from 2a + b2 - 4a3 ab ** a3b Ans . 4a3 - ab 13a2 92a3b 13. Subtract from 36 12ab2 40a3b 10a2 Ans . 12ab2 36 * CHAPTER II . EQUATIONS . ( 28. ) An equation 146 ALGEBRA .
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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.