Elementary Algebra

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American book Company, 1917 - Algebra - 503 pages
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Page 225 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.
Page 281 - Then divide the first term of the remainder by the first term of the divisor...
Page 222 - In any proportion, the product of the means is equal to the product of the extremes.
Page 231 - 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 226 - If four quantities are in proportion, they are in proportion by inversion; that is, the second term is to the first as the fourth is to the third.
Page 454 - The logarithm of a number is the exponent of the power to which a fixed number, called the base, must be raised in order to produce the given number.
Page 97 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 226 - In any proportion the terms are in proportion by Alternation ; that is, the first term is to the third as the second term is to the fourth.
Page 457 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 83 - 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.

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