Advanced Algebra

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Macmillan, 1906 - 562 páginas

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Página 521 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 291 - A right triangle is a triangle, one of whose angles is a right angle.
Página 47 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 170 - 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.
Página 390 - 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?
Página 135 - 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.
Página 164 - Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry.
Página 47 - Thus the product of the sum and difference of two numbers is equal to the difference of their squares.
Página 104 - 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.
Página 170 - In any proportion the product of the means is equal to the product of the extremes.

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