A Treatise on Algebra: Containing the Latest Improvements. Adapted to the Use of Schools and Colleges
Harper & brothers, 1847 - Algebra - 503 pages
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according added affected algebraic amount apply arithmetical becomes calculated called cents coefficients column common consequently considered contain continued corresponding denominator derived determine difference divide divisible divisor elimination entire equal evident EXAMPLE exponent expression extract factors figures formula four fourth fraction functions give given greater greatest Hence imaginary increased inequation infinite interest known least less letters limit logarithm manner means measure method modulus multiplied necessary negative obtain operation original polynomial positive preceding present problem progression proportion proposed equation quotient radical ratio real roots reduced remainder represent result roots rule satisfy second term simple solution square square root substituting subtract successive suppose taken third tion transformed unknown quantity variations whence whole number write zero
Page 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.
Page 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.
Page 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...
Page 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...
Page 261 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 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.
Page 310 - ... the sum of the products of every two roots with their signs changed ; the coefficient of the fourth term...
Page 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...
Page 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.
Page 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.