Elementary AlgebraMacmillan, 1905 - 449 páginas |
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Términos y frases comunes
a+b)² a+b+c a²b a²b² a²b³ a³b ab² ab³ abc2 angle arithmetic ax² B's age binomial Check Clearing of fractions coefficient consecutive numbers contain cube denominator difference digits divided division divisor equal exceeds EXERCISE exponents factors feet Find the H. C. F. Find the number Find the value following equations following expressions graph Hence inches method miles per hour monomial multiplied negative number of dollars obtain Pages polynomials problem proportional quadratic equation quotient ratio reduced remainder Simplify simultaneous equations Solve the equation Solve the following square root Substituting subtract surd third Transposing triangle unknown number unknown quantity Va² x²y x²y² x²y³ x³y xy² yards
Pasajes populares
Página 162 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Página 131 - If the degree of the numerator is equal to, or greater than, that of the denominator, the preceding methods are inapplicable.
Página 156 - Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry.
Página 100 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms.
Página 43 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Página 212 - A trinomial is a perfect square if one of its terms is equal to twice the product of the square roots of the two other terms.
Página 43 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Página 162 - In any proportion the product of the means is equal to the product of the extremes.
Página 51 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Página 162 - The mean proportional between two numbers is equal to the square root of their product.