A Complete Course in Algebra for Academies and High SchoolsLeach, Shewell & Sanborn, 1885 - 349 sider |
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A Complete Course in Algebra for Academies and High Schools Webster Wells Uten tilgangsbegrensning - 1885 |
A Complete Course in Algebra for Academies and High Schools Webster Wells Uten tilgangsbegrensning - 1885 |
A Complete Course in Algebra for Academies and High Schools Webster Wells Uten tilgangsbegrensning - 1885 |
Vanlige uttrykk og setninger
a²b a²b² a³b ab+b² ab² ab³ Adding ALGEBRA arithmetical means arithmetical progression ax² binomial bushel cents change the sign coefficient cologarithm complete divisor Completing the square cube root decimal derive the formula digits divided dollars EXAMPLES exceeds exponent expression Extracting the square Find the cube Find the H.C.F. Find the value Find two numbers following equations following rule geometrical means geometrical progression given equations Hence highest common factor last term less logarithm lowest common multiple mantissa monomial Multiplying Note perfect square polynomial positive proportion QUADRATIC EQUATIONS quotient r₁ radical sign ratio Reduce the following remainder Required the number result rods second term simplest form Solve the equation Solve the following square root Transposing trial-divisor twice unknown quantity Whence x²y xy²
Populære avsnitt
Side 144 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Side 169 - Resolve the quantity under the radical sign into two factors, one of which is the highest perfect power of the same degree as the radical. Extract the required root of this factor, and prefix the result to the indicated root of the other.
Side 40 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — b) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Side 183 - In any trinomial square (Art. 108), the middle term is twice the product of the square roots of the first and third terms...
Side 45 - The exponent of x in the second term is 1, and increases by 1 in each succeeding term.
Side 32 - Division, in Algebra, is the process of finding one of two factors, when their product and the other factor are given.
Side 228 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Side 225 - The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the proportion a : b = с : d, a and d are the extremes, and b and с the means.
Side 1 - If equal quantities be divided by the same quantity, or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be changed.
Side 40 - The square of the sum of two quantities is equal to the SQuare of the first, plus twice the product of the first by the second, plus the square of the second.