An Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American CollegesHowe & Deforest, 1814 - 303 σελίδες |
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Σελίδα 7
... Positive and Negative quan- ties , Axioms , & c . 10 JI . Addition , 28 III . Subtraction , 35 IV . Multiplication , 39 V. Division , 51 VI . Algebraic Fractions , 60 VII . Reduction of Equations , by Transposi- tion , Multiplication ...
... Positive and Negative quan- ties , Axioms , & c . 10 JI . Addition , 28 III . Subtraction , 35 IV . Multiplication , 39 V. Division , 51 VI . Algebraic Fractions , 60 VII . Reduction of Equations , by Transposi- tion , Multiplication ...
Σελίδα 13
... positive ; and the sign to those which are supposed to be negative . For the nature of this distinction , see art . 54 . All the quantities which enter into an algebraie process , are considered , for the purposes of calcula- tion , as ...
... positive ; and the sign to those which are supposed to be negative . For the nature of this distinction , see art . 54 . All the quantities which enter into an algebraie process , are considered , for the purposes of calcula- tion , as ...
Σελίδα 21
... POSITIVE AND NEGATIVE QUANTITIES . * 54. To one who has just entered on the study of algebra , there is generally nothing more perplexing , than the use of what are called negative quantities.- He supposes he is about to be introduced ...
... POSITIVE AND NEGATIVE QUANTITIES . * 54. To one who has just entered on the study of algebra , there is generally nothing more perplexing , than the use of what are called negative quantities.- He supposes he is about to be introduced ...
Σελίδα 22
... positive , its descent will be negative . These are only different examples of the same general principle . In each of the instances , one of the quantities is to be subtracted from the other . 56. The terms positive and negative , as ...
... positive , its descent will be negative . These are only different examples of the same general principle . In each of the instances , one of the quantities is to be subtracted from the other . 56. The terms positive and negative , as ...
Σελίδα 23
... positive , every succeeding instance of fori ward motion will be positive , while the backward mo◅ tion will be negative . 58. A negative quantity is frequently greater , than the positive one with which it is connected . But how , it ...
... positive , every succeeding instance of fori ward motion will be positive , while the backward mo◅ tion will be negative . 58. A negative quantity is frequently greater , than the positive one with which it is connected . But how , it ...
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12 rods abscissa added algebraic antecedent applied arithmetic become binomial calculation called Clearing of fractions co-efficients Completing the square compound quantity consequent cube root cubic equation curve demonstration denominator diminished dividend division divisor dollars equa equal quantities errour Euclid exponents expressed Extracting and transp factors fourth geometrical geometrical progression given quantity greater Hence inches infinite series inverted involution last term less letters manner mathematics Mult multiplicand negative quantity notation nth power nth root number of terms ordinate parallelogram perpendicular positive prefixed principle Prob Prod proportion proposition quadratic equation quan quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder rule SECTION sides square root substituted subtracted subtrahend supposed supposition theorem third tion tity Transposing transposition triangle twice uniting terms unknown quantity varies vulgar fraction whole
Δημοφιλή αποσπάσματα
Σελίδα 214 - In an arithmetical progression, the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Σελίδα 188 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Σελίδα 265 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Σελίδα 227 - 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.
Σελίδα 189 - If four quantities are proportional, THE ORDER OF THE MEANS, OR OF THE EXTREMES, OR OF THE TERMS OF BOTH COUPLETS, MAY BE INVERTED, WITHOUT DESTROYING THE PROPORTION.
Σελίδα 40 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Σελίδα 85 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Σελίδα 187 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.
Σελίδα 60 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Σελίδα 61 - ... produce the same effect on the value of the fraction, as multiplying the numerator. In all cases...