A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 18.
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 not strange that all ...
... 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 not strange that all ...
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 . 400 04 Ans ...
... 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 . 400 04 Ans ...
Άλλες εκδόσεις - Προβολή όλων
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.