The Academic AlgebraThompson, Brown, 1889 - 414 páginas |
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Página 206
... Arithmetically the problem is impossible ( § 39 , last paragraph ) . Negative answers to problems can usually be interpreted , and the problem can generally be worded so as to change the negative to positive answers . 3. M and N are ...
... Arithmetically the problem is impossible ( § 39 , last paragraph ) . Negative answers to problems can usually be interpreted , and the problem can generally be worded so as to change the negative to positive answers . 3. M and N are ...
Página 229
... decimal . A mixed number must be reduced to an improper fraction , or the fractional part to a decimal , before its root can be found . 30. 83 . 27. . 28. 15 29. T CUBE ROOT OF ARITHMETICAL NUMBERS . 217. To find the EVOLUTION . 229.
... decimal . A mixed number must be reduced to an improper fraction , or the fractional part to a decimal , before its root can be found . 30. 83 . 27. . 28. 15 29. T CUBE ROOT OF ARITHMETICAL NUMBERS . 217. To find the EVOLUTION . 229.
Página 230
... arithmetical number consists of three times as many figures as the root , or of one or two less than three times as many . Hence , to find the number of figures in the cube root of an arithmetical number , Begin at the right , and mark ...
... arithmetical number consists of three times as many figures as the root , or of one or two less than three times as many . Hence , to find the number of figures in the cube root of an arithmetical number , Begin at the right , and mark ...
Página 231
... arithmetical number , Rule . Beginning at units , separate the number into periods of three figures each . Find the greatest cube in the left - hand period , and place its root at the right . Subtract this cube from the left - hand ...
... arithmetical number , Rule . Beginning at units , separate the number into periods of three figures each . Find the greatest cube in the left - hand period , and place its root at the right . Subtract this cube from the left - hand ...
Página 363
... arithmetical op- erations is that addition takes the place of multiplication , and subtraction of division , multiplication of involution , and division of evolution . That is , to multiply numbers , we add their logarithms ; to divide ...
... arithmetical op- erations is that addition takes the place of multiplication , and subtraction of division , multiplication of involution , and division of evolution . That is , to multiply numbers , we add their logarithms ; to divide ...
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Términos y frases comunes
9 a² a b c a² b² a² b³ a²b² a²x² algebraic expressions arithmetical progression b² c² binomial Binomial Theorem bracket cents coefficient cube root denominator digits divided dividend equal examples exponent figures Find the factors Find the greatest Find the number Find the square Find the sum Find the value following Rule geometrical progression given greatest common divisor Hence integral last term least common multiple less logarithm miles an hour mixed number monomial Multiply negative number number of hours number of terms polynomial positive number quadratic equation quotient radical ratio remainder second term simplest form Simplify square root subtracted Theorem Transposing trial divisor unknown number x y z x² y² x²y x³ y² yards
Pasajes populares
Página 53 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 317 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Página 317 - In a proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means.
Página 152 - The first term of a ratio is called the antecedent, and the other the consequent ; and the two terms together are called a couplet.
Página 228 - Multiply the true divisor by this neiv root figure, subtract the product from the dividend, and to the remainder annex the next period, for a new dividend.
Página 330 - Any three of the five following things being given, the other two may be found : 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms.
Página 61 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 152 - Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to the third.
Página 227 - Subtract the square of this figure from the left-hand period, and to the remainder annex the next period for a dividend.
Página 250 - Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical.