Essentials of Algebra for Secondary Schools

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D.C. Heath & Company, 1897 - Algebra - 411 pages
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Page 257 - In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Page 246 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Page 357 - Teacher's Manual to Sheldon's History. Puts into the instructor's hand the key to the above system.
Page 31 - 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.
Page 357 - Hall's Method of Teaching History. " Its excellence and helpfulness ought to secure it many readers,
Page 49 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 249 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 257 - 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 59 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Page 289 - The logarithm of a product is equal to the sum of the logarithms of its factors.

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