A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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... exponents Division of quantities having fractional exponents . Formation of powers Extraction of roots Of polynomials having radical terms Equations involving radical quantities 239 240 241 242 343 66 246 • CHAPTER IV . ~ Equations of ...
... exponents Division of quantities having fractional exponents . Formation of powers Extraction of roots Of polynomials having radical terms Equations involving radical quantities 239 240 241 242 343 66 246 • CHAPTER IV . ~ Equations of ...
Σελίδα 65
... exponent of the required power ; or take two or more powers of the given number the sum of whose exponents is equal to the exponent of the required power , and multiply them together successively . EXAMPLES . 1. Involve 67 to the 2d ...
... exponent of the required power ; or take two or more powers of the given number the sum of whose exponents is equal to the exponent of the required power , and multiply them together successively . EXAMPLES . 1. Involve 67 to the 2d ...
Σελίδα 81
... exponent 1 less than the number of terms . For example , in the progression , 3 : 6 : 12 ; 24 : 48 : 96 : 192 . 2 $ 64 × 3 = 192 , the seventh term . = EXAMPLES . 1. In a geometrical series , the first 8 GEOMETRICAL PROPORTIONS . 81 ...
... exponent 1 less than the number of terms . For example , in the progression , 3 : 6 : 12 ; 24 : 48 : 96 : 192 . 2 $ 64 × 3 = 192 , the seventh term . = EXAMPLES . 1. In a geometrical series , the first 8 GEOMETRICAL PROPORTIONS . 81 ...
Σελίδα 96
... exponent is a number written to the right of a letter , and a little above , to denote the number of times it is taken as a factor ; or how many times + ONE it is multiplied by itself . Instead of writing a × a × a × a × a , or aaaaa ...
... exponent is a number written to the right of a letter , and a little above , to denote the number of times it is taken as a factor ; or how many times + ONE it is multiplied by itself . Instead of writing a × a × a × a × a , or aaaaa ...
Σελίδα 97
... exponents of the letters which enter into that term . An algebraic quan- tity which has all its terms of the same degree , is said to be homogeneous : 4a5 + 2ab3-3abc3 + b'c , is therefore ho- mogeneous , and of the 5th degree . Similar ...
... exponents of the letters which enter into that term . An algebraic quan- tity which has all its terms of the same degree , is said to be homogeneous : 4a5 + 2ab3-3abc3 + b'c , is therefore ho- mogeneous , and of the 5th degree . Similar ...
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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.