A Treatise on Algebra: Containing the Latest Improvements. Adapted to the Use of Schools and CollegesHarper & brothers, 1847 - 503 σελίδες |
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Άλλες εκδόσεις - Προβολή όλων
A Treatise on Algebra, Containing the Latest Improvements Charles William Hackley Πλήρης προβολή - 1850 |
Συχνά εμφανιζόμενοι όροι και φράσεις
45 cents 90 cents algebraic arithmetical becomes binomial binomial theorem coefficients column common divisor consequently contain continued fraction cube root denominator determine difference divide dividend divisible elimination equa EXAMPLE exponent expression final equation formula give given equation given number greater greatest common divisor greatest common measure Hence imaginary roots indeterminate least common multiple letters logarithm manner method modulus monomial multiplied negative roots nth root number of terms number of variations obtain odd number permutations polynomial positive roots prime number problem proposed equation quadratic quadratic equation quotient radical ratio real roots reduced remainder represent result rule second degree second term solution square number square root substituting subtract successive suppose symmetric functions theorem third tion transformed equation Transposing unity unknown quantity V₁ whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 172 - 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 23 - 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 xii - ALPHA BETA GAMMA DELTA EPSILON ZETA ETA THETA IOTA KAPPA LAMBDA MU NU XI OMICRON PI RHO SIGMA TAU UPSILON PHI CHI PSI OMEGA...
Σελίδα 122 - Proportion is an equality of ratios. Thus, if a, b, c, d are four quantities, such that a, when divided by b, gives the same quotient as c when divided by d, then a, b, c, d are called proportionals, and we say that a is to b as c is to d...
Σελίδα 261 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 170 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together.
Σελίδα 310 - ... the sum of the products of every two roots with their signs changed ; the coefficient of the fourth term...
Σελίδα 172 - A work is to be printed, so that each page may contain a certain number of lines, and each line a certain number of letters. If we wished each page to contain 3 lines more, and each line 4 letters more, then there would be 224 letters more...
Σελίδα 183 - A company of 90 persons consists of men, women, and children ; the men are 4 in number more than the women, and the children are 10 more in number than both men and women ; what is the number of each 1 Ans.
Σελίδα 237 - 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.