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 4
... show the dependence of one upon another . The whole should be so conducted , as to keep the reasoning powers in continual exercise , without greatly fatiguing them . No oth- er subject affords a better opportunity for exemplifying the ...
... show the dependence of one upon another . The whole should be so conducted , as to keep the reasoning powers in continual exercise , without greatly fatiguing them . No oth- er subject affords a better opportunity for exemplifying the ...
Σελίδα 14
... shows how often the quantity expressed by the letter is to be taken . Thus 26 signifies twice b , and 96 , 9 times b , or 9 multiplied into b . If b stands for 10 , then 96 is 9 times 10 or 90 . The co - efficient may be either a whole ...
... shows how often the quantity expressed by the letter is to be taken . Thus 26 signifies twice b , and 96 , 9 times b , or 9 multiplied into b . If b stands for 10 , then 96 is 9 times 10 or 90 . The co - efficient may be either a whole ...
Σελίδα 15
... shows that the sum of b and e is to be subtracted from a . But ab + c signifies b + c that b only is to be subtracted from a , while c is to be added . The sum of c and d , subtracted from the sum of a and b , is a + b c + d . The marks ...
... shows that the sum of b and e is to be subtracted from a . But ab + c signifies b + c that b only is to be subtracted from a , while c is to be added . The sum of c and d , subtracted from the sum of a and b , is a + b c + d . The marks ...
Σελίδα 16
... show , that the quantity which precedes it , is to be divided , by that which follows . Thus ac is a divided by e : and a + b c + d is the sum of a and b , divided by the sum of c and d . But in algebra , division is more commonly ...
... show , that the quantity which precedes it , is to be divided , by that which follows . Thus ac is a divided by e : and a + b c + d is the sum of a and b , divided by the sum of c and d . But in algebra , division is more commonly ...
Σελίδα 22
... show , which are to be added , and which subtracted . In different processes , they may be differently applied . On one occasion , a downward motion may be called positive , and on an- other occasion , negative . 57. In every algebraic ...
... show , which are to be added , and which subtracted . In different processes , they may be differently applied . On one occasion , a downward motion may be called positive , and on an- other occasion , negative . 57. In every algebraic ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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...