The Academic AlgebraThompson, Brown, 1889 - 414 páginas |
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Página 4
... obtained by repeating a number a given number of times . 11. An Index , or Exponent , is some number symbol , either positive or negative , integral or fractional , placed at the right , and a little above the number . If the index is ...
... obtained by repeating a number a given number of times . 11. An Index , or Exponent , is some number symbol , either positive or negative , integral or fractional , placed at the right , and a little above the number . If the index is ...
Página 12
... obtain the larger number . Suppose we let x equal the smaller number , then 2x must equal the larger ; and , by the con- ditions of the problem , x the smaller number added to 2x , the larger number , equals 90 , or 3 x = 90. Therefore ...
... obtain the larger number . Suppose we let x equal the smaller number , then 2x must equal the larger ; and , by the con- ditions of the problem , x the smaller number added to 2x , the larger number , equals 90 , or 3 x = 90. Therefore ...
Página 16
... obtained through the device of a straight line with the zero point at its centre , and positive numbers extending to the right , and negative numbers to the left indefinitely , thus , - 1 .. • .. 0 ... + 1 / ... +1 ... + ∞ , a general ...
... obtained through the device of a straight line with the zero point at its centre , and positive numbers extending to the right , and negative numbers to the left indefinitely , thus , - 1 .. • .. 0 ... + 1 / ... +1 ... + ∞ , a general ...
Página 33
... obtained by writing down the polynomials to be subtracted with their signs reversed under those to be added , and then finding the sum of all , thus making use of but a single process . Removal and Introduction of Brackets . - ― 62. The ...
... obtained by writing down the polynomials to be subtracted with their signs reversed under those to be added , and then finding the sum of all , thus making use of but a single process . Removal and Introduction of Brackets . - ― 62. The ...
Página 34
... obtained at once . Thus from ( 1 ) we have at once α- - 2 b — 4 a + 6 b + 3 a + 5 a − 2 b + 3 a = 8 a 2b . It is recommended that the more advanced students begin with the outermost bracket , as the shorter of the two methods . Remove ...
... obtained at once . Thus from ( 1 ) we have at once α- - 2 b — 4 a + 6 b + 3 a + 5 a − 2 b + 3 a = 8 a 2b . It is recommended that the more advanced students begin with the outermost bracket , as the shorter of the two methods . Remove ...
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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.