A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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... radicals 228 To reduce radicals to their simplest form 229 To reduce radicals of different indices to equivalent ... radical quantities • • 237 238 239 • 240 241 242 343 66 246 CHAPTER IV . Equations of the second degree • Incomplete ...
... radicals 228 To reduce radicals to their simplest form 229 To reduce radicals of different indices to equivalent ... radical quantities • • 237 238 239 • 240 241 242 343 66 246 CHAPTER IV . Equations of the second degree • Incomplete ...
Σελίδα 228
... RADICALS . ( 54. ) In the extraction of the roots of algebraic quantities , it is often the case , that the quantity will not admit of an ex- act root ; such quantities are called radicals , or 228 ALGEBRA . Calculus of radicals.
... RADICALS . ( 54. ) In the extraction of the roots of algebraic quantities , it is often the case , that the quantity will not admit of an ex- act root ; such quantities are called radicals , or 228 ALGEBRA . Calculus of radicals.
Σελίδα 229
... radicals are similar when they have the same indi- ces , and also the same quantities under the radical sign : √5 and 7 √5 , Vac and 2 Vac , are similar radicals . 3 3 The coefficient of a radical shows how many times the radical is ...
... radicals are similar when they have the same indi- ces , and also the same quantities under the radical sign : √5 and 7 √5 , Vac and 2 Vac , are similar radicals . 3 3 The coefficient of a radical shows how many times the radical is ...
Σελίδα 230
... radical sign , we extract the root of one of the factors of the radical ; and since we multiply the coefficient of the radical by this root , the ex- pression is still the product of the roots of the factors . Thus , Vab is the product ...
... radical sign , we extract the root of one of the factors of the radical ; and since we multiply the coefficient of the radical by this root , the ex- pression is still the product of the roots of the factors . Thus , Vab is the product ...
Σελίδα 231
... radical sign be a frac- tion , it can always be changed to a whole number , by multi- plying both terms of the ... RADICALS . 231.
... radical sign be a frac- tion , it can always be changed to a whole number , by multi- plying both terms of the ... RADICALS . 231.
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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.