## The Principles of Elementary Algebra |

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added algebra approximation arithmetic base becomes called coefficients column common complete contain continued convergent corresponding cube decimal denominator denote determinant difference dimensions Divide division eliminant equal equation examples EXERCISE expansion expression factors feet figures Find the value finite four fraction function geometric given gives graph greater Hence identity increased integral interpretation less letters limit linear logarithms matrix mean method miles Multiply negative nth term obtain operation origin partial places positive powers preceding principal quadratic quantity quotient rational readily reduce relation remainder result roots satisfied sides signs Similarly solution Solve square substituting subtract surd symbol taken theorem third tion transformation triangle unit variable Whence whole write written zero

### Popular passages

Page 90 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.

Page 254 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.

Page 336 - ... University of Ohio, of Pennsylvania, of Michigan, of Wisconsin, of Kansas, of California, of Missouri, Stanford University, etc., etc. "Those acquainted with Mr. Smith's text-books on conic sections and solid geometry will form a high expectation of this work, and we do not think they will be disappointed. Its style is clear and neat, it gives alternative proofs of most of the fundamental theorems, and abounds in practical hints, among which we may notice those on the resolution of expressions...

Page 254 - ... that the logarithm of the product of two numbers is the sum of the logarithms of the numbers.

Page 74 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.