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 5
... four years , can hardly be supposed to be an object of great comparative importance . The principal saving of expense , in this case , is included in the saving of time . But is not the progress of the student impeded , rather than ...
... four years , can hardly be supposed to be an object of great comparative importance . The principal saving of expense , in this case , is included in the saving of time . But is not the progress of the student impeded , rather than ...
Σελίδα 15
... four terms , a quadrinomial , & c . 38. When the several members of a compound quantity are to be subjected to the same operation , they are frequently connected by a line called a vincu- lum . Thus ab + c shows that the sum of b and e ...
... four terms , a quadrinomial , & c . 38. When the several members of a compound quantity are to be subjected to the same operation , they are frequently connected by a line called a vincu- lum . Thus ab + c shows that the sum of b and e ...
Σελίδα 17
... four quantities are proportional , the proportion is expressed by points , in the same man- ner , as in the Rule of Three in arithmetic . a b c d signifies that a has to b , the same ratio , which c has to d . And ab : cd : a + m : b + ...
... four quantities are proportional , the proportion is expressed by points , in the same man- ner , as in the Rule of Three in arithmetic . a b c d signifies that a has to b , the same ratio , which c has to d . And ab : cd : a + m : b + ...
Σελίδα 18
... four times their sum dimin- ished by d . Ans . 5. The quotient of 6 divided by the sum of a and b , is equal to 7 times d , diminished by the quotient of , divided by 36. Ans . 51. It is necessary also , to be able to reverse what ...
... four times their sum dimin- ished by d . Ans . 5. The quotient of 6 divided by the sum of a and b , is equal to 7 times d , diminished by the quotient of , divided by 36. Ans . 51. It is necessary also , to be able to reverse what ...
Σελίδα 19
... multiplication must not be omit- ted , as it generally is , between factors expressed by letters . Thus if a stands for 3 , and b , for four ; the product a b is not 34 , but 3 x 4 i . e . 12 . 20 ALGEBRA . In the following examples , Let ...
... multiplication must not be omit- ted , as it generally is , between factors expressed by letters . Thus if a stands for 3 , and b , for four ; the product a b is not 34 , but 3 x 4 i . e . 12 . 20 ALGEBRA . In the following examples , Let ...
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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...