A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα viii
... root · 63 65 66 67 Extraction of the cube root 70 CHAPTER IV . Ratios and proportions 72 Arithmetical proportions 73 Arithmetical progressions 75 Geometrical proportion 78 Geometrical progression 81 Rule of Three 83 Application of the ...
... root · 63 65 66 67 Extraction of the cube root 70 CHAPTER IV . Ratios and proportions 72 Arithmetical proportions 73 Arithmetical progressions 75 Geometrical proportion 78 Geometrical progression 81 Rule of Three 83 Application of the ...
Σελίδα x
... root of polynomials Extraction of the cube root of polynomials General rule for extracting the roots of all powers Demonstration of the rules for extracting the root of num- 188 189 191 201 201 202 203 207 211 bers 213 Square root 66 ...
... root of polynomials Extraction of the cube root of polynomials General rule for extracting the roots of all powers Demonstration of the rules for extracting the root of num- 188 189 191 201 201 202 203 207 211 bers 213 Square root 66 ...
Σελίδα 13
... root of the number 6 . 3 ✓ 6 signifies the cube root of the number 6 . 4 5 √2 , † 2 , √2 , & c . signifies the 4th , 5th , 6th , & c . root of the number 2 . THE FOUR RULES OF ARITHMETIC . ( 6. ) As quantity admits of no other ...
... root of the number 6 . 3 ✓ 6 signifies the cube root of the number 6 . 4 5 √2 , † 2 , √2 , & c . signifies the 4th , 5th , 6th , & c . root of the number 2 . THE FOUR RULES OF ARITHMETIC . ( 6. ) As quantity admits of no other ...
Σελίδα 63
... root of 4 , the 3d or cube root of 8 , the 4th root of 16 , & c . The degree of the power to which a number is INVOLUTION AND EVOLUTION . 63 CHAPTER III Involution and evolution ·
... root of 4 , the 3d or cube root of 8 , the 4th root of 16 , & c . The degree of the power to which a number is INVOLUTION AND EVOLUTION . 63 CHAPTER III Involution and evolution ·
Σελίδα 66
... roots of any given powers . The root of any number , is such a number as multiplied into itself a certain number of times , will produce that num- ber ; thus , = 5 is the square or 2d root of 25 , since 52 , or , 5 × 5 4 is the cube or 3d ...
... roots of any given powers . The root of any number , is such a number as multiplied into itself a certain number of times , will produce that num- ber ; thus , = 5 is the square or 2d root of 25 , since 52 , or , 5 × 5 4 is the cube or 3d ...
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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.