# First Course in Algebra

Heath, 1913 - Algebra - 334 pages
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### Contents

 CHAPTER 1 ADDITION AND SUBTRACTION 13 III 24 IV 47 VI 78 SYSTEMS OF LINEAR EQUATIONS GRAPHS 102 DIVISION OF POLYNOMIALS 133 FRACTIONS 173
 XII 197 XIII 212 RATIO AND PROPORTION 239 XV 249 APPENDIX THE FACTOR THEOREM 277 INDEX 287 Copyright

### Popular passages

Page 57 - 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 241 - 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 187 - 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 281 - The sum of the exponents of a and b in any term is equal to the binomial exponent.
Page 135 - 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 190 - 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 246 - A line parallel to one side of a triangle divides the other two sides proportionally.
Page 274 - 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 211 - 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 274 - 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.