Advanced Algebra

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Macmillan, 1906 - Algebra - 562 pages
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Page 168 - In any proportion the product of the means is equal to the product of the extremes.
Page 162 - The sum of the three angles of any triangle is equal to 180.
Page 45 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Page 374 - To release the paper, turn the handle /in a direction opposite to the motion of the hands of a watch.
Page 168 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Page 386 - How many 6-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number has 3 odd and 3 even digits and no two digits are alike?
Page 133 - A fraction may be reduced by division to an integral or mixed expression, if the degree of the numerator is equal to, or greater than, that of the denominator.
Page 102 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms. The student should note that a term, in order to be a perfect square, must have a positive sign.
Page 515 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 383 - ... are placed. Thus the combinations of the letters a, b, c, taken two at a time are ab, ас...

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