School Algebra, Book 1

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Page 127 - To multiply a fraction by a fraction. Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 188 - ... is equal to the square root of the difference of the squares of the hypotenuse and the other leg.
Page 238 - 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 72 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 71 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Page 188 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.
Page 244 - If in a right angled triangle, a perpendicular be let fall from the vertex of the right angle upon the hypotenuse, then, 1.
Page 68 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.
Page 61 - To the product of the coefficients annex the literal quantities, giving to each letter an exponent equal to the sum of its exponents in the factors.
Page 92 - 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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