A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα iii
... reasoning , to which 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 1-18-39 4 not strange ...
... reasoning , to which 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 1-18-39 4 not strange ...
Σελίδα iv
... reasoning upon numbers , in the first three chapters , letters , as the representatives of numbers , are first introduced in the fourth ; and the same reasoning applied to them , which immediately before , had been applied to the ...
... reasoning upon numbers , in the first three chapters , letters , as the representatives of numbers , are first introduced in the fourth ; and the same reasoning applied to them , which immediately before , had been applied to the ...
Σελίδα v
... reasoning is adapted to the pro- gress of the student . In the first part of the work , the rules are given and applied , and then followed by demonstrations ; but as the student is supposed to become more familiar with mathematical ...
... reasoning is adapted to the pro- gress of the student . In the first part of the work , the rules are given and applied , and then followed by demonstrations ; but as the student is supposed to become more familiar with mathematical ...
Σελίδα 10
... reasoning required in the resolution of ques- tions relating to numbers . ARITHMETIC . NOTATION AND NUMERATION . ( 4. ) It would evidently be impossible to express each num- ber by a separate term , since in that case the number of ...
... reasoning required in the resolution of ques- tions relating to numbers . ARITHMETIC . NOTATION AND NUMERATION . ( 4. ) It would evidently be impossible to express each num- ber by a separate term , since in that case the number of ...
Σελίδα 42
... reasoning will apply , for the operation will be equivalent to multiplying the terms of each fraction , by the product of the denominators of all the others . EXAMPLES . 1. Reduce , and to a common denominator . 0 400 2 1 5607 56 5 04 ...
... reasoning will apply , for the operation will be equivalent to multiplying the terms of each fraction , by the product of the denominators of all the others . EXAMPLES . 1. Reduce , and to a common denominator . 0 400 2 1 5607 56 5 04 ...
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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.