## First Course in Algebra |

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abē abscissa added algebra angle answer apply arranged balance binomial called changed CHAPTER circle coefficients common Consider contains definition denominator described difference digit distance dividing division divisor equal equation example EXERCISES exponent expressions fact factors feet Find four fraction given greater Hence illustration inches indicated integer kind length letter means method miles an hour minutes monomials multiplication negative obtained original parentheses perimeter polynomial positive pounds preceding principle problem proportional quotient radical rectangle remainder represent respectively result rule Rule of Signs sides similar Simplify Solve square root statement student subtract temperature term third triangle trinomial twice units unknown weight wish Write zero

### 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.