The University Algebra ...Sheldon & Company, 1859 - 528 σελίδες |
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Άλλες εκδόσεις - Προβολή όλων
The University Algebra: Designed for the Use of High Schools, Academies, and ... John Fair Stoddard Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c added algebraic arithmetical progression B₁ binomial cent coefficient containing continued fraction convergents cube root DEMONSTRATION denominator denotes difference Divide division EXAMPLES Expand exponent expression Extract the cube Extract the square Find the factors Find the greatest find the number Find the product Find the sum find the values find x formula gallons geometrical progression given equation Given to find gives greater greatest common divisor Hence imaginary infinity integral least common multiple less letters logarithm lowest terms minus monomial mth root Multiply number of terms numbers in geometrical obtain odd number polynomial positive integers PROBLEM PROPOSITION quadratic equation quadratic surd quotient radical rational recurring series Reduce remainder result RULE second term SOLUTION solved square root substituted subtract Theorem three numbers transposed unknown quantity values of x whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 56 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Σελίδα 373 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Σελίδα 48 - 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 363 - A and B 165 miles distant from each other set out with a design to meet; A travels 1 mile the first day, 2 the second, 3 the third, and so on. B travels 20 miles the first day; 18 the second, 16 the third, and so on.
Σελίδα 382 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.
Σελίδα 306 - ... which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of geese at the 45th...
Σελίδα 301 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately ? Ans.
Σελίδα 382 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Σελίδα 203 - A farmer has a stack of hay, from which he sells a quantity, which is to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10. There are 3 pieces of cloth, whose lengths are in the proportion of 3, 5, and 7 ; and 8 yards being cut off" from each, the whole quantity is diminished in the proportion of 15 to 11.
Σελίδα 239 - Some smugglers discovered a cave which would exactly hold the cargo of their boat, viz., 13 bales of cotton and 33 casks of wine.