First Course in Algebra

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Heath, 1913 - Algebra - 334 pages

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Page 51 - The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square of its side. 444. Corollary 2. Tiro rectangles are to each other as the products of their bases and altitudes.
Page 231 - In the proportion - = -, a, b, c, and d are called the terms bd of the proportion. The first and last terms are called the extremes and the second and third terms are called the means.
Page 177 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Page 271 - The sum of the exponents of a and b in any term is equal to the binomial exponent.
Page 125 - 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 180 - If we divide one fraction by another, the quotient is a fraction whose numerator is the product of the numerator of the first fraction and the denominator of the second...
Page 236 - A line parallel to one side of a triangle divides the other two sides proportionally.
Page 264 - In a right triangle, the perpendicular from the vertex of the right angle to the hypotenuse is a mean proportional between the segments of the hypotenuse: p2 = mn. Any two similar figures, in the plane or in space, can be placed in " perspective," that is, so that lines joining corresponding points of the two figures will pass through a common point.
Page 201 - Subtract the difference from the sum and take half the result for the smaller number. 2. If -A can do a piece of work in a days, and В can do the same .work in b days, in how many days can both together do it?
Page 264 - If four numbers are in proportion, they are in proportion by inversion; that is, the second term is to the first as the fourth is to the third.

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