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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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 40
... mult'd twice , as fa + ža . Multipl❜g by , is taking of the mult'd three times , asa + } a + } a , Hence , if the multiplier is an unit , the product is equal to the multiplicand : If the multiplier is greater than an unit , the ...
... mult'd twice , as fa + ža . Multipl❜g by , is taking of the mult'd three times , asa + } a + } a , Hence , if the multiplier is an unit , the product is equal to the multiplicand : If the multiplier is greater than an unit , the ...
Σελίδα 42
... Mult'y 9ab 12hy 3 dh Into 3xy 2rx my 2ad 13hmg 7bdh Ꮖ 3ay 8mx 3dhmy 7bdhx Prod . 27abay 97. If either of the factors consists of figures only , these must be multiplied into the other factors . Thus 3ab into 4 , is 12ab . 24 into hy ...
... Mult'y 9ab 12hy 3 dh Into 3xy 2rx my 2ad 13hmg 7bdh Ꮖ 3ay 8mx 3dhmy 7bdhx Prod . 27abay 97. If either of the factors consists of figures only , these must be multiplied into the other factors . Thus 3ab into 4 , is 12ab . 24 into hy ...
Σελίδα 43
... Mult . d + 2xy 2h + m Into 36 7dy 3hl + 1 2hm + 3 + dr my Ab 3hlmy + my Prod . 3bd + 6bxy 99. The preceding ... Mult . 3x + d Aay +26 Into 2a + hm 3c + rx a + 1 3x + 4 Prod . 6ax + 2ad + 3hmx + dhm 3ax + 3x + 4a + 4 Mult . 2h + 7 into 6d ...
... Mult . d + 2xy 2h + m Into 36 7dy 3hl + 1 2hm + 3 + dr my Ab 3hlmy + my Prod . 3bd + 6bxy 99. The preceding ... Mult . 3x + d Aay +26 Into 2a + hm 3c + rx a + 1 3x + 4 Prod . 6ax + 2ad + 3hmx + dhm 3ax + 3x + 4a + 4 Mult . 2h + 7 into 6d ...
Σελίδα 44
... Mult . dy + rx + h into 6m + 4 + 7y . Prod .: ? Mult . 7 + 66 + ad into 3r + 4 + 2h . Prod . 101. When several terms in the product are alike , it will be expedient to set one under the other , and then to unite them , by the rules for ...
... Mult . dy + rx + h into 6m + 4 + 7y . Prod .: ? Mult . 7 + 66 + ad into 3r + 4 + 2h . Prod . 101. When several terms in the product are alike , it will be expedient to set one under the other , and then to unite them , by the rules for ...
Σελίδα 45
... Mult . 6-3α Into 6y 2a - m 3h + x 2y h - 3d - 4 a - 2-7d - x 3b + h Prod 6by - 18ay 2hy - 6dy - Sy 107. In the two preceding cases , the affirmative sign prefix- ed to the multiplier shows , that the repetitions of the multi- plicand ...
... Mult . 6-3α Into 6y 2a - m 3h + x 2y h - 3d - 4 a - 2-7d - x 3b + h Prod 6by - 18ay 2hy - 6dy - Sy 107. In the two preceding cases , the affirmative sign prefix- ed to the multiplier shows , that the repetitions of the multi- plicand ...
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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...