## First Course in Algebra |

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### Common terms and phrases

a²b² ab² abscissa algebra angle apply 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 illustrated inches indicated integer length letter means method miles an hour minutes monomial multiplication negative obtained original Pages perfect square polynomial positive pounds preceding principle problem proportional quotient radicals remainder represent respectively result rule Rule of Signs sides similar Solve square root statement student subtract term third triangle trinomial units unknown weight Write xy² 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 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.