College AlgebraD.C. Heath & Company, 1890 - 577 páginas |
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Página 2
... multiplied . The multiplier is the number by which the multiplicand is to be multiplied . İf two or more numbers are multiplied together , the result is called their product . The sign of multiplication is usually omitted in Algebra ...
... multiplied . The multiplier is the number by which the multiplicand is to be multiplied . İf two or more numbers are multiplied together , the result is called their product . The sign of multiplication is usually omitted in Algebra ...
Página 14
... MULTIPLICATION . 50. We shall retain for the operation of Multiplication its arithmetical meaning , so long as the multiplier is an arithmetical number . That is , to multiply a number by a positive integer is to add the first number as ...
... MULTIPLICATION . 50. We shall retain for the operation of Multiplication its arithmetical meaning , so long as the multiplier is an arithmetical number . That is , to multiply a number by a positive integer is to add the first number as ...
Página 16
... Multiplication , as follows : + multiplied by + , and multiplied by , produce + ; - + multiplied by , and multiplied by + , produce - - · Or , as it is usually expressed with regard to the product of two terms , Like signs produce + ...
... Multiplication , as follows : + multiplied by + , and multiplied by , produce + ; - + multiplied by , and multiplied by + , produce - - · Or , as it is usually expressed with regard to the product of two terms , Like signs produce + ...
Página 17
... multiply a by be is the same thing as to mul- tiply it by b , and then multiply the result by c . And in general , multiplying by the product of a group of numbers is the same thing as multiplying by the numbers of the group separately ...
... multiply a by be is the same thing as to mul- tiply it by b , and then multiply the result by c . And in general , multiplying by the product of a group of numbers is the same thing as multiplying by the numbers of the group separately ...
Página 20
... , we have c / xb = a . 68. By Art . 67 , ( 1 ) , x b = 1 . ( 1 ) ( 2 ) Multiplying each of these equals by a ( Art . 54 ) , we have ах xb = a . ' Since the dividend is the product of the divisor 20 COLLEGE ALGEBRA .
... , we have c / xb = a . 68. By Art . 67 , ( 1 ) , x b = 1 . ( 1 ) ( 2 ) Multiplying each of these equals by a ( Art . 54 ) , we have ах xb = a . ' Since the dividend is the product of the divisor 20 COLLEGE ALGEBRA .
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Términos y frases comunes
a₁ ab² absolute value Algebra arithmetical arithmetical means b₁ Binomial Binomial Theorem coefficient common factor Commutative Law Compare Art complex number continued fraction convergent cube root decimal denominator denote determinant Dividing divisible divisor equal EXAMPLES exponent Extracting the square figures Find the numbers follows from Art geometrical progression given equation greater Hence imaginary number infinite series involving last term letters logarithm miles Multiplying Note nth root number Art number of terms obtained P₁ partial fractions perfect power polynomial positive integer prove pure imaginary quadratic equation quotient radical sign rational and integral rational numbers real number remainder represented result rule of Art second term Solve the equation square root Sturm's Theorem Substituting Subtracting surd Theorem third unknown quantities Whence zero
Pasajes populares
Página 41 - 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 270 - In any proportion the terms are in proportion by Composition; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Página 271 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 269 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = ос.
Página 268 - The terms of a ratio are the two numbers to be compared; thus, in the above ratio, 20 and 4 are the terms. When both terms are considered together, they are called a couplet ; when considered separately, the first term is called the antecedent, and the second term the consequent. Thus, in the ratio 20 : 4, 20 and 4 form a couplet, and 20 is the antecedent, and 4 the consequent.
Página 140 - ... from the given expression. Divide the first term of the remainder by twice the first term of the root, and add the quotient to the root and also to the divisor.
Página 137 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Página 38 - Divide the first term of the dividend by the first term of the divisor, giving the first term of the quotient. Multiply the whole divisor by this term, and subtract the product from the dividend, arranging the remainder in the same order of powers as the dividend and divisor.
Página 79 - Multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Página 270 - In any proportion the terms are in proportion by Alternation ; that is, the first term is to the third as the second term is to the fourth.