Common School AlgebraF.A. Brown, 1862 |
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Common terms and phrases
2d power a² b² a² b³ a³ b² algebra ALGEBRAIC QUANTITIES B's age B's money barrel bushel cents chaise changing the signs coefficient common denominator corn cows difference Divide dividend division divisor equal equation example expressions extract the root factors Find the 3d following RULE formula fractional exponents geometrical progression gives greater Hence horse integral quantity irrational quantities least common multiple less Let the learner Let x represent letter manner merator miles monomial Multiply nator number of dollars number of terms numerator and denominator polynomial preceding proportion radical sign ratio reduce remainder represent the number represent the price Required the age Required the number Required the price result second member second power second root separate sheep Substitute subtract tens third power third root transpose unknown quantity whole number x2 y³ yard zeros
Popular passages
Page 96 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 73 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.
Page 79 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 168 - There will be as many figures in the root as there are periods in the given number.
Page 144 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Page 223 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Page 2 - Algebraic operations are based upon definitions and the following axioms : — 1. If the same quantity, or equal quantities, be added to equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity, or equal quantities, the products will be equal. 4. If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal....
Page 235 - ... multiply the last term by the ratio, subtract the first term from this product, and divide the remainder by the ratio diminished by unity.
Page 219 - In any proportion, the product of the means is equal to the product of the extremes.
Page 3 - If the same quantity be both added to and subtracted from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, its value will not be changed.