The Academic AlgebraThompson, Brown, 1889 - 414 páginas |
Dentro del libro
Resultados 1-5 de 36
Página 78
... denominators of the second terms of the two factors are always the same as the denominator of the sum ; in this instance , 3 . The numerators are obtained from the numerators of the sum and product , precisely as in the preceding ...
... denominators of the second terms of the two factors are always the same as the denominator of the sum ; in this instance , 3 . The numerators are obtained from the numerators of the sum and product , precisely as in the preceding ...
Página 103
... denominator . a a Thus means ab . Hence it follows that x b = a . That is , the algebraic fraction where a and b are supposed to have values a b ' any whatever , is that expression which , when multiplied by b , becomes a . 133. The ...
... denominator . a a Thus means ab . Hence it follows that x b = a . That is , the algebraic fraction where a and b are supposed to have values a b ' any whatever , is that expression which , when multiplied by b , becomes a . 133. The ...
Página 104
... denominator and the sign before the fraction are changed . ( b ) But the value of a fraction is changed , ( 4 ) If every sign of the numerator , or denominator , or the sign before the fraction , is changed . 138. From the rules of ...
... denominator and the sign before the fraction are changed . ( b ) But the value of a fraction is changed , ( 4 ) If every sign of the numerator , or denominator , or the sign before the fraction , is changed . 138. From the rules of ...
Página 105
... denominator , or in both , are changed ; but the value of a fraction is changed , if the sign of one of its factors , or of an odd number of its factors , in either the numerator or denominator is changed . 1 . 139. EXERCISES . Express ...
... denominator , or in both , are changed ; but the value of a fraction is changed , if the sign of one of its factors , or of an odd number of its factors , in either the numerator or denominator is changed . 1 . 139. EXERCISES . Express ...
Página 106
... denominator by the same number does not change the value of the fraction . 141. REDUCTION OF FRACTIONS . The reduction of fractions , that is , the changing of their form without changing their value , depends upon the preceding ...
... denominator by the same number does not change the value of the fraction . 141. REDUCTION OF FRACTIONS . The reduction of fractions , that is , the changing of their form without changing their value , depends upon the preceding ...
Otras ediciones - Ver todas
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.