The Academic AlgebraThompson, Brown, 1889 - 414 páginas |
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Página 1
... unit of its own kind , arbitrarily selected as the standard . Through the annexation of the name of the measuring unit they become concrete . - NOTE 1. Quantity , the subject of all mathematical investigation , has been variously used ...
... unit of its own kind , arbitrarily selected as the standard . Through the annexation of the name of the measuring unit they become concrete . - NOTE 1. Quantity , the subject of all mathematical investigation , has been variously used ...
Página 3
... units , or twenty - three , and hence caunot stand for 2 × 3 , or 23 . 6. Division is denoted by the sign ÷ ( read ... unit is understood ; thus , x is the same as 1 x . 9. The Reciprocal of a number is a unit divided FACTORS AND POWERS . 3.
... units , or twenty - three , and hence caunot stand for 2 × 3 , or 23 . 6. Division is denoted by the sign ÷ ( read ... unit is understood ; thus , x is the same as 1 x . 9. The Reciprocal of a number is a unit divided FACTORS AND POWERS . 3.
Página 4
... unit divided by that number ; thus , the reciprocal of 5 is } ; of x , 1 . x 10. A Power is the product obtained by repeating a number a given number of times . 11. An Index , or Exponent , is some number symbol , either positive or ...
... unit divided by that number ; thus , the reciprocal of 5 is } ; of x , 1 . x 10. A Power is the product obtained by repeating a number a given number of times . 11. An Index , or Exponent , is some number symbol , either positive or ...
Página 17
... units ; when they are all nega- tive , the algebraic sum will be negative and equal in amount to the number of negative units ; and when they are both positive and negative , the algebraic sum will be positive if the positive units are ...
... units ; when they are all nega- tive , the algebraic sum will be negative and equal in amount to the number of negative units ; and when they are both positive and negative , the algebraic sum will be positive if the positive units are ...
Página 18
... units being counted on , or employed to affect the result , accord- ing to their number , in one way , and the negative units being counted off , or employed to affect the result , accord- ing to their number , in the opposite way . 43 ...
... units being counted on , or employed to affect the result , accord- ing to their number , in one way , and the negative units being counted off , or employed to affect the result , accord- ing to their number , in the opposite way . 43 ...
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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.