A College Algebra |
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Common terms and phrases
a₁ ab² algebraic arithmetical mean arithmetical progression arithmetical series arrangements assigned constant ax² b₁ binomial binomial theorem called coefficient column common logarithms Complete the square complex number continued fraction d₁ decimal denominator denote determinant digits Divide divisible divisor equal event Exercise exponent expression Extract the root Find the numbers function geometrical geometrical progression geometrical series given equation given number Hence infinite series integer integral left member less letters limit mantissa Multiply negative number number of terms obtained orthotomic orthotomic number positive integers positive number quadratic quadratic equation quantic quotient ratio real roots remainder represent scalar number Solve square number square root subtracted surd Theorem third unknown number variable white ball written zero
Popular passages
Page 188 - 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 186 - 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 79 - 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 90 - 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 142 - 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 184 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 521 - The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Page 186 - 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 33 - Then divide the first term of the remainder by the first term of the divisor...
Page 6 - A power of a number is the product obtained by using that number as a factor a specified number of times.