A College Algebra |
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Common terms and phrases
a₁ ab² algebraic arithmetical arithmetical series arrangements assigned constant ax² b₁ binomial binomial theorem c₁ called coefficients column common logarithms Complete the square complex number continued fraction d₁ decimal denominator denote determinant digits Divide divisible divisor equal event Exercise exponent expression Find the number function given equation given number Hence infinite series infinitesimal integer left member less letters limit logarithm Multiply negative number nth root number of terms obtained orthotomic orthotomic number periodic continued fraction polynomial positive integers positive number positive roots quadratic equation quantic quotient ratio real roots remainder represent scalar number series is convergent square number square root subtracted surd Theorem unknown numbers variable white ball zero
Popular passages
Page 184 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, . ,. ... ' , ' ad be by dividing by bd, bd=bd
Page 77 - A person engaged to work a days on these conditions : for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit c cents. At the end of a days he received d cents. How many days was he idle ? 76.
Page 88 - In the first term the exponent of a is the same as the exponent of the power to which the binomial is raised, and it decreases by one in each succeeding term.
Page 140 - A number consists of two digits whose sum is 13, and if 4 is subtracted from double the number, the order of the digits is reversed. Find the number. 58. The sum of the digits of a certain number of two figures is 5, and if 3 times the units, digit is added to the number, the order of the digits will be -reversed.
Page 182 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 517 - The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Page 186 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 519 - The modulus of the product of two complex numbers is the product of their moduli, and the amplitude of the product is the sum of their amplitudes.
Page 184 - The equation ad = be gives a — -£, b = — ; so that an d с extreme may be found by dividing the product of the means by the other extreme ; and a mean may be found by dividing the product of the extremes by the other mean.
Page 423 - The coefficient of the third term is the sum of all the products that can be formed by taking the roots two at a time.