College Algebra |
From inside the book
Results 1-5 of 79
Page 3
... equals ” or “ is equal to . " Thus , ab signifies that the numbers a and b are equal . A statement that two numbers are equal is called an equation . 12. The Signs of Inequality , > and < , stand for " is greater than " and " is less ...
... equals ” or “ is equal to . " Thus , ab signifies that the numbers a and b are equal . A statement that two numbers are equal is called an equation . 12. The Signs of Inequality , > and < , stand for " is greater than " and " is less ...
Page 6
... equal to the same number , are equal to each other . POSITIVE AND NEGATIVE NUMBERS . 28. Many concrete magnitudes are capable of existing in two opposite states . Thus , in financial transactions , we may have gains 6 COLLEGE ALGEBRA .
... equal to the same number , are equal to each other . POSITIVE AND NEGATIVE NUMBERS . 28. Many concrete magnitudes are capable of existing in two opposite states . Thus , in financial transactions , we may have gains 6 COLLEGE ALGEBRA .
Page 8
... equal to the negative of the number denoted by a . The positive of the positive of the number denoted by a , und the negative of the negative of the number denoted by a , are each equal to the positive of the number denoted by a . Or ...
... equal to the negative of the number denoted by a . The positive of the positive of the number denoted by a , und the negative of the negative of the number denoted by a , are each equal to the positive of the number denoted by a . Or ...
Page 11
... equal numbers are added to equal numbers , the results are equal . 41. Subtraction , in Arithmetic , may be defined as the process of finding one of two numbers , when their sum and the other number are given ; and we shall attach this ...
... equal numbers are added to equal numbers , the results are equal . 41. Subtraction , in Arithmetic , may be defined as the process of finding one of two numbers , when their sum and the other number are given ; and we shall attach this ...
Page 12
... equal to the minuend , we have a − b + b = a . ( 1 ) Adding - b to each of these equals ( Art . 40 ) , we obtain ab ... equal numbers are sub- tracted from equal numbers , the results are equal . 44. By Art . 42 , subtracting + a is the ...
... equal to the minuend , we have a − b + b = a . ( 1 ) Adding - b to each of these equals ( Art . 40 ) , we obtain ab ... equal numbers are sub- tracted from equal numbers , the results are equal . 44. By Art . 42 , subtracting + a is the ...
Other editions - View all
Common terms and phrases
a₁ ab² absolute value Algebra arithmetical arithmetical means ax² Binomial Binomial Theorem coefficient common factor Commutative Law Compare Art complex number continued fraction convergent cube root decimal denominator denote determinant Dividing divisible divisor EXAMPLES exponent Extracting the square figures Find the numbers follows from Art geometrical progression given equation greater Hence imaginary number infinite series last term letters logarithm mantissa Multiplying Note nth root number Art number of terms obtained P₁ partial fractions perfect power polynomial positive integer positive roots prove pure imaginary quadratic equation quotient radical sign rational and integral rational numbers real number remainder represented respect result rule of Art second term Solve the equation square root Sturm's Theorem Substituting Subtracting surd Theorem third unknown quantities Whence
Popular passages
Page 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.
Page 38 - 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.
Page 268 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Page 268 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Page 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.
Page 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.
Page 269 - If the product of two quantities is equal to thé product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = be.
Page 150 - Multiply the complete divisor by the figure of the root last obtained, and subtract the product from the remainder. If other...
Page 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.
Page 279 - One quantity is said to vary inversely as another when the first varies directly as the reciprocal of the second. Thus, the...