Elementary Algebra: Second Course

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B.H. Sanborn, 1913 - Algebra - 311 pages
 

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Page 18 - 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 177 - The weight of an object above the surface of the earth varies inversely as the square of its distance from the center of the earth.
Page 163 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.
Page 172 - 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 171 - In any proportion, the product of the extremes equals the product of the means.
Page 17 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Page 13 - To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the partial products: (6a — 3ft) x 3c = 18uc -96c.
Page 186 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 240 - In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs.
Page 178 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1...

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