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 radicals having ... radical quantities 239 240 241 242 343 66 246 • CHAPTER IV . ~ Equations of the second degree · X CONTENTS .
... radicals 228 To reduce radicals to their simplest form 229 To reduce radicals of different indices to equivalent radicals having ... radical quantities 239 240 241 242 343 66 246 • CHAPTER IV . ~ Equations of the second degree · X CONTENTS .
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
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.