A Treatise on Algebra: Containing the Latest Improvements. Adapted to the Use of Schools and CollegesHarper & Brothers, 1846 - 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
algebraic arithmetical arithmetical progression becomes binomial binomial theorem called change the signs coefficients column common denominator common divisor Completing the square consequently courier cube root decimal difference divide dividend division elimination equa EXAMPLE exponent expression Extract the square figures formula functions geometrical progression give given equation given number greater greatest common divisor greatest common measure Hence imaginary roots indeterminate inequation infinite least common multiple letters logarithm manner method modulus monomial multiplied negative nth power nth root number of terms number of variations obtain perfect square permutations polynomial present value problem proportion proposed equation quadratic quadratic equation quotient radical ratio real roots reduce remainder represent result rule second term solution square root substituting subtract successive suppose theorem third tion Transposing unknown quantity V₁ Whence whole number
Δημοφιλή αποσπάσματα
Σελίδα 76 - Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder.
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 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.
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 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 107 - There will be as many figures in the root as there are periods in the given number.
Σελίδα 236 - A's journey. How far did each travel ? A 72 miles. B 54 miles. 9. A company at a tavern had £8 15s. to pay for their reckoning ; but before the bill was settled, two of them left the room, and then those who remained had 10s. apiece more to pay than before : how many were there in the company ? Ans. 7.
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.
Σελίδα 69 - To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend.
Σελίδα 49 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.