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 15
... remainder , after one is taken from the other . A compound quantity consisting of three terms , is sometimes called a trinomial ; one of four terms , a quadrinomial , & c . 38. When the several members of a compound quantity are to be ...
... remainder , after one is taken from the other . A compound quantity consisting of three terms , is sometimes called a trinomial ; one of four terms , a quadrinomial , & c . 38. When the several members of a compound quantity are to be ...
Σελίδα 17
... remainder . Thus 10 a is a multiple of 2a , because the one contains the other just 5 times . So 24 is a multiple of 6 . 47. One quantity is said to be a measure of an- other , when the former is contained in the latter , any number of ...
... remainder . Thus 10 a is a multiple of 2a , because the one contains the other just 5 times . So 24 is a multiple of 6 . 47. One quantity is said to be a measure of an- other , when the former is contained in the latter , any number of ...
Σελίδα 23
... remainder , which is a part of the quantity subtracted . If the latitude of a ship which is 20 degrees north of the equator , is considered positive , and if she sails south 25 degrees : her motion first diminishes her latitude , then ...
... remainder , which is a part of the quantity subtracted . If the latitude of a ship which is 20 degrees north of the equator , is considered positive , and if she sails south 25 degrees : her motion first diminishes her latitude , then ...
Σελίδα 24
... remainder belongs , the sign must be retained , though there is no other quantity , from which this is again to be subtracted , or to which it is to be added . 60. When a quantity continually decreasing is re- duced to nothing , it is ...
... remainder belongs , the sign must be retained , though there is no other quantity , from which this is again to be subtracted , or to which it is to be added . 60. When a quantity continually decreasing is re- duced to nothing , it is ...
Σελίδα 26
... remainder . 9. If unequal quantities be multipled by equals , the great- er will give the greater product . 10. If unequal quantities be divided by equals , the great- er will give the greater quotient . 11. Quantities which are ...
... remainder . 9. If unequal quantities be multipled by equals , the great- er will give the greater product . 10. If unequal quantities be divided by equals , the great- er will give the greater quotient . 11. Quantities which are ...
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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...