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 14
... co - efficient is not expressed , 1 is always to be under- stood . Thus a is the same as 1 a i . e . once a . 35. The co - efficient may be a letter , as well as a figure . In the quantity mb , m may be considered the eo - efficient of ...
... co - efficient is not expressed , 1 is always to be under- stood . Thus a is the same as 1 a i . e . once a . 35. The co - efficient may be a letter , as well as a figure . In the quantity mb , m may be considered the eo - efficient of ...
Σελίδα 16
... co - efficient may be considered a factor . ( Art . 35. ) In the product 3y , 3 is a factor , as well as y . 42. A quantity is said to be resolved into factors , when any factors are taken which , being multiplied together , will ...
... co - efficient may be considered a factor . ( Art . 35. ) In the product 3y , 3 is a factor , as well as y . 42. A quantity is said to be resolved into factors , when any factors are taken which , being multiplied together , will ...
Σελίδα 17
... co - efficients are different . But 3a , 3y , and 36 x , are unlike quantities , because the letters are unlike , although there is no difference in the signs and co - efficients . 46. One quantity is said to be a multiple of an- other ...
... co - efficients are different . But 3a , 3y , and 36 x , are unlike quantities , because the letters are unlike , although there is no difference in the signs and co - efficients . 46. One quantity is said to be a multiple of an- other ...
Σελίδα 30
... co - efficients , annex the common letter or letters , and prefix the common sign . Thus , to reduce 36 + 76 , that is , + 36 + 76 to one term , add the co - efficients 3 and 7 , to the sum 10 , annex the com- mon letter b , and prefix ...
... co - efficients , annex the common letter or letters , and prefix the common sign . Thus , to reduce 36 + 76 , that is , + 36 + 76 to one term , add the co - efficients 3 and 7 , to the sum 10 , annex the com- mon letter b , and prefix ...
Σελίδα 31
... co - efficient from the greater ; to the difference , annex the common letter or letters , and prefix the sign of ... efficients of the quanti- tics which are thus reduced . In one of the preceding ex- amples , 66-46-26 . Here 2 , the co - ...
... co - efficient from the greater ; to the difference , annex the common letter or letters , and prefix the sign of ... efficients of the quanti- tics which are thus reduced . In one of the preceding ex- amples , 66-46-26 . Here 2 , the co - ...
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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...