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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 33.
Σελίδα 26
... altered . 6. If a quantity be both multiplied and divided by another , the value of the former will not be altered . 7. If to unequal quantities , equals be added , the greater will give the greater sum . 8. If from unequal quantities ...
... altered . 6. If a quantity be both multiplied and divided by another , the value of the former will not be altered . 7. If to unequal quantities , equals be added , the greater will give the greater sum . 8. If from unequal quantities ...
Σελίδα 29
... altering their signs ; observing always that a quantity , to which no sign is prefixed , is to be considered positive . ( Art . 29. ) The sum of a + m , and b - 8 , and 2h - 3m + d , and h - n , and r + 3m - y , is a + m + b - 8 + 2h ...
... altering their signs ; observing always that a quantity , to which no sign is prefixed , is to be considered positive . ( Art . 29. ) The sum of a + m , and b - 8 , and 2h - 3m + d , and h - n , and r + 3m - y , is a + m + b - 8 + 2h ...
Σελίδα 35
... alteration in the balance , as adding an equal sum to the opposite side . b + m ? To place this in another point of view . If m is added to . b , the sum is by the notation , But if m is subtracted from b , the remainder is b - m So if ...
... alteration in the balance , as adding an equal sum to the opposite side . b + m ? To place this in another point of view . If m is added to . b , the sum is by the notation , But if m is subtracted from b , the remainder is b - m So if ...
Σελίδα 36
... altered . Although the rule here given is adapted to every case of subtraction ; yet there may be an advantage in giving some of the examples in distinct classes . 83. In the first place , the signs may be alike , and the min- wend ...
... altered . Although the rule here given is adapted to every case of subtraction ; yet there may be an advantage in giving some of the examples in distinct classes . 83. In the first place , the signs may be alike , and the min- wend ...
Σελίδα 41
... alter its nature . It is frequently said , that the product of two lines is a surface , and that the product of three lines is a solid . But these are abridged ex- pressions , which if interpreted literally are not correct . See the ...
... alter its nature . It is frequently said , that the product of two lines is a surface , and that the product of three lines is a solid . But these are abridged ex- pressions , which if interpreted literally are not correct . See the ...
Άλλες εκδόσεις - Προβολή όλων
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...