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 páginas |
Dentro del libro
Resultados 1-5 de 16
Página 85
... extremes is equal to the product of the two means : " a principle which is at the foundation of the Rule of Three in ... extremes , one side of the equation ; and the product of the means , the other side . Ex . 1. Reduce to an equation ...
... extremes is equal to the product of the two means : " a principle which is at the foundation of the Rule of Three in ... extremes , one side of the equation ; and the product of the means , the other side . Ex . 1. Reduce to an equation ...
Página 92
... extremes and means ( Art . 188. ) 6x - 240 = 5x Transposing and uniting terms " And CST DEF 1 x = 240 , the greater . 240-40 200 , the less . " Prob . 12. Three persons , A , B , and C draw prizes in a lottery . A draws 200 dollars ; B ...
... extremes and means ( Art . 188. ) 6x - 240 = 5x Transposing and uniting terms " And CST DEF 1 x = 240 , the greater . 240-40 200 , the less . " Prob . 12. Three persons , A , B , and C draw prizes in a lottery . A draws 200 dollars ; B ...
Página 93
... extremes and means Transp . and uniting terms Dividing by 2 2x = 65 x = 3241 . Prob . 15. What number is that , a sixth part of which ex- ceeds an eighth part of it by 20 ? Ans . 480 . Prob . 16. Divide a prize of 2000 dollars into two ...
... extremes and means Transp . and uniting terms Dividing by 2 2x = 65 x = 3241 . Prob . 15. What number is that , a sixth part of which ex- ceeds an eighth part of it by 20 ? Ans . 480 . Prob . 16. Divide a prize of 2000 dollars into two ...
Página 140
... extremes and means [ Art . 188. ] 5x2 = ab Dividing by 5 , By evolution , ab x2 = 5 ab x = 5 320 x 2500 124 = 400 . 5 Restoring the numbers , Here the answer is not marked as ambiguous , because by the statement of the problem it is ...
... extremes and means [ Art . 188. ] 5x2 = ab Dividing by 5 , By evolution , ab x2 = 5 ab x = 5 320 x 2500 124 = 400 . 5 Restoring the numbers , Here the answer is not marked as ambiguous , because by the statement of the problem it is ...
Página 154
... extremes and means , Transposing 10x , x2 Completing the square , Extracting and transp . x2 = 10x + 1200 - -10x = 1200 x2 - 10x + 25 = 25 + 1200 x = 5 + √25 + 1200 = 5 + 35 . The two prizes , then , are 40 and 160 . Prob . 8. What two ...
... extremes and means , Transposing 10x , x2 Completing the square , Extracting and transp . x2 = 10x + 1200 - -10x = 1200 x2 - 10x + 25 = 25 + 1200 x = 5 + √25 + 1200 = 5 + 35 . The two prizes , then , are 40 and 160 . Prob . 8. What two ...
Otras ediciones - Ver todas
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 265 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Página 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.
Página 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.
Página 40 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Página 85 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Página 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.
Página 60 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Página 61 - ... produce the same effect on the value of the fraction, as multiplying the numerator. In all cases...