A Treatise on Algebra: Containing the Latest Improvements. Adapted to the Use of Schools and CollegesHarper & Brothers, 1846 - 503 pàgines |
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Altres edicions - Mostra-ho tot
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... Charles William Hackley Visualització completa - 1846 |
A Treatise on Algebra, Containing the Latest Improvements Charles William Hackley Visualització completa - 1850 |
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... Charles William Hackley Visualització completa - 1847 |
Frases i termes més freqüents
a₁ algebraic becomes binomial binomial theorem coefficients column common divisor consequently contain continued fraction contrary signs cube cubic equation denominator derived functions determine difference divide divisible elimination equa equal roots equation whose roots EXAMPLE exponent expression extract final equation formula fraction give given equation given number greatest common divisor Hence imaginary roots indeterminate last term least common multiple letters logarithm 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 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 Transposing unity unknown quantity V₁ vanish whence whole number
Passatges populars
Pàgina 129 - ... two triangles are to each other as the products of their bases by their altitudes.
Pàgina 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.
Pàgina 107 - There will be as many figures in the root as there are periods in the given number.
Pàgina 237 - B set out from two towns, which were distant 247 miles, and travelled the direct road till they met. A went 9 miles a day ; and the number of days, at the end of which they met, was greater by 3 than the number of miles which B went in a day. How many miles did each go ? 17.
Pàgina 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.
Pàgina 261 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Pàgina 184 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Pàgina 128 - When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c.
Pàgina 48 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Pàgina 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.