# First Course in Algebra

D. C. Heath, 1913 - Algebra - 285 pages
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### Contents

 I 1 ADDITION AND SUBTRACTION 13 III 24 IV 47 VI 78 SYSTEMS OF LINEAR EQUATIONS GRAPHS 102 VIII 133 X 197
 SQUARE ROOT AND RADICALS 210 RATIO AND PROPORTION 229 XV 239 SYSTEMS OF EQUATIONS SOLVABLE BY QUADRATICS 257 INDEX 263 FRACTIONAL AND NEGATIVE EXPONENTS 273 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 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 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 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 209 - 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 B can do the same...
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 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.
Page 238 - 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 214 - Multiply the divisor thus increased, by the third term of the root, and subtract the product from the last remainder.