A Treatise on Algebra: Embracing, Besides the Elementary Principles, All the Higher Parts Usually Taught in Colleges : Containing Moreover, the New Method of Cubic and Higher Equations, as Well as the Development and Application of the More Recently Discovered Theorem of Sturm
O. Hutchinson, 1842 - 360 σελίδες
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A Treatise on Algebra: Embracing, Besides the Elementary Principles, All the ...
George Roberts Perkins
Προβολή αποσπασμάτων - 1842
added algebraic amount arithmetical assume becomes binomial called cause cleared of fractions coefficient condition consequently containing continued cube root denoted dividend Dividing division divisor equa equal equation EXAMPLES expansion exponent expression Extracting factors figure formula four fourth fractions geometrical Given gives greater greatest common measure Hence imaginary increased infinite interest known left-hand member less letters logarithms means method multiply negative number of terms numerator and denominator observe obtain OPERATION polynomial positive principle proceed progression proportion quadratic equation question quotient ratio real roots recurring Reduce relation remainder represent Required result right-hand member RULE second term shows signs similar solution solved sought square root substituted Subtracting successive suppose surd THEOREM third tion transposing true uniting unknown quantity variations write
Σελίδα 199 - If we have a : c : : a' : c', a : c : : a" : c", a : c : : a'
Σελίδα 67 - A farmer had two flocks of sheep, each containing the same number. Having sold from one of these 39, and from the other 93, he finds twice as many remaining in the one as in the other. How many did each flock originally contain 1 Prob.
Σελίδα 195 - One hundred stones being placed on the ground, in a straight line, at the distance of a yard from each other, how far will a person travel who shall bring them one by one to a basket, which is placed one yard from the first Stone ? Ans.
Σελίδα 116 - Divide it by twice the root just found, and add the quotient both to the root and to the divisor. Multiply the divisor thus increased, into the term last placed in the root, and subtract the product from the dividend.
Σελίδα 48 - To reduce a mixed quantity to the form of a fraction. RULE. Multiply the entire part by the denominator of the fraction...
Σελίδα 176 - A person being asked his age, answered, " My mother was 20 years old when I was born, and her age multiplied by mine, exceeds our united ages by 2500.
Σελίδα 95 - Substitution. water. How much gold, and how much silver, did this crown contain ? Ans. 14,77... Ibs. of gold, and 5,22.. .Ibs. of silver. 151. Problem. To solve any number of equations of the...
Σελίδα 205 - Proportion is when, of three numbers, the first has the same proportion to the third, as the difference between the first and second, has to the difference between the second and third. As in these three, 6, 8, 12 ; where 6 : 12 : : 8 — 6 : 12 — 8, that is 6 : 12 : : 2 : 4. When four numbers are in musical proportion ; then...