A School Algebra: Designed for Use in High Schools and AcademiesAmerican Book Company, 1896 - 394 σελίδες |
Συχνά εμφανιζόμενοι όροι και φράσεις
A's age a²+2ab+b² a²b a²b² a²x a²x² a³b ab² ab³ added algebraic numbers antilog arithmetic ax² B's age binomial factors called cent clearing of fractions coefficient common factor cube root decimal denominator denotes difference Divide the number dividend division divisor exponent expressed Find the H. C. F. formula Hence indicated integer letters logarithms mantissa minuend mixed number monomial Multiply negative number nth root number of terms obtain parenthesis perfect square polynomial positive problem quadratic equation quotient radical ratio Reduce Resolve into factors result second term Solve the equations square root Substituting subtracted subtrahend synthetic division transposing trial divisor trinomial twice unknown number unlike signs whence x²y x²y² x³y xy² xy³
Δημοφιλή αποσπάσματα
Σελίδα 61 - 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.
Σελίδα 79 - That is, 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.
Σελίδα 301 - The logarithm of a number is the exponent of the power to which a fixed number, called the base, must be raised in order to produce the given number.
Σελίδα 80 - 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.
Σελίδα 122 - A fraction is one or more of the equal parts of a unit...
Σελίδα 299 - WHEN three numbers are such that the first is to the third, as the difference of the first and second is to the difference of the second and third, they are said to be in HARMONICAL PROPORTION, and a series of numbers in continued harmonical proportion, constitutes a HARMONICAL PROGRESSION.
Σελίδα 299 - Or, four terms are in harmonical proportion, when the first is to the fourth as the difference of the first and second is to the difference of the third and fourth.
Σελίδα 273 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Σελίδα 29 - Multiplication is the process of taking one number as many times as there are units in another number.
Σελίδα 274 - In any proportion, the product of the extremes equals the product of the means.