A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα iii
... he is wholly unaccustomed , and new symbols for the expression of quantity , the nature and use of which , he finds it difficult to comprehend . With these difficulties to encounter , it is not strange that all seems dark and confused ; or.
... he is wholly unaccustomed , and new symbols for the expression of quantity , the nature and use of which , he finds it difficult to comprehend . With these difficulties to encounter , it is not strange that all seems dark and confused ; or.
Σελίδα ix
... expression to a single term Addition of algebraic quantities Subtraction of algebraic quantities Of subtractive quantities Multiplication of algebraic quantities - Of monomials Multiplication of polynomials Division of algebraic ...
... expression to a single term Addition of algebraic quantities Subtraction of algebraic quantities Of subtractive quantities Multiplication of algebraic quantities - Of monomials Multiplication of polynomials Division of algebraic ...
Σελίδα 9
... in the given quantity . ( 3. ) Arithmetic and Algebra both treat of the relations of quantity as expressed by numbers . Arithmetic treats of numbers in particular , and their simplest 2 Preliminary remarks and definitions.
... in the given quantity . ( 3. ) Arithmetic and Algebra both treat of the relations of quantity as expressed by numbers . Arithmetic treats of numbers in particular , and their simplest 2 Preliminary remarks and definitions.
Σελίδα 10
... expressed . We This nomenclature is based upon the principle of succes- sive orders of units , of such values that ten units of the first order shall be equal to one of the second order , ten of the second order equal to one of the ...
... expressed . We This nomenclature is based upon the principle of succes- sive orders of units , of such values that ten units of the first order shall be equal to one of the second order , ten of the second order equal to one of the ...
Σελίδα 11
... expression , units of the second order , the second place , and so of the others . The numbers 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , are each expressed by separate characters ; but when we would write ten , which is a unit of the second ...
... expression , units of the second order , the second place , and so of the others . The numbers 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , are each expressed by separate characters ; but when we would write ten , which is a unit of the second ...
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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.