A First Course in Algebra
Longmans, Green, and Company, 1913 - Algebra - 249 pages
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adding addition algebra angle arithmetic base binomial called Check coefficient combining common condition considered contains denominator designated difference dimensions direction distance dividing both sides division divisor equal equation Example EXERCISE exponent expression factors feet Find foregoing Formula four fraction given gives graph greater Hence illustrated inches indicated integral length letter linear equations means miles miles an hour multiplied negative numerical values observed obtained operations placed polynomial positive preceding problems proportion quadratic quotient radical rational represent result root sides similar Simplify Solution Solve square square root substituting subtracting temperature tion triangle twice units unknown number weight width zero
Page 79 - 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.
Page 111 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.
Page 194 - 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 100 - The product of two binomials having a common term equals the square of the common term plus the product of the common term by the sum of the other terms, plus the product of the other terms.
Page 189 - The product of two or more fractions is a fraction whose numerator is the product of the numerators, and whose denominator is the product of the denominators of the fractions.
Page 75 - Strike out from the dividend the letters common to it and the divisor, when they have the same...
Page 181 - Find the product of these factors, taking each factor the greatest number of times it occurs in any one of the given numbers.
Page 195 - In any proportion, the product of the means equals the product of the extremes.
Page 88 - One other aspect of geometry that may be seen on police officer exams concerns right triangles. The Pythagorean theorem states that the square of the side opposite the right angle equals the sum of the squares of the other sides, or A2 + B2 = C2.