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45 cents algebraic arithmetical arithmetical progression arithmetical series becomes binomial coefficients column common divisor consequently contain continued fraction contrary signs cube cubic equation denominator derived functions determine difference divide divisible equa equal roots equation whose roots example exponent expression extract final equation formula geometrical progression give given equation given number greater greatest common divisor Hence imaginary roots indeterminate last term least common multiple letters logarithm method modulus monomial multiplied negative roots number of variations obtain odd number permutations polynomial positive roots preceding prime number problem proposed equation quotient radical ratio real roots reduced remainder represent result second degree second term solution square number square root substituting subtract successive suppose symmetric functions theorem third tion transformed equation unity unknown quantity whence whole number
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 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.