Algebra Self-taughtE. & F. N. Spon, 1876 - 104 páginas |
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Termos e frases comuns
2ab+b² algebraic Applied arithmetical complement arithmetical series b₁ binomial theorem brackets c₁ c₂ calculation CHAPTER coefficient common difference common logarithm common multiple common ratio compound interest compound quantities cube root denominator digits divide dividend division divisor equation Example to Rule exponent expression formula geometrical progression geometrical series given number gives half the number illustration indicate instance integral quantity involution last term least common multiple less than unity letters mantissa mathematics means minus negative number negative quantities nth root number of terms obtain operation positive number positive quantity principle quadratic equation quantity multiplied quotient reader represent result similar square root student substituting subtract symbols system of logarithms table of logarithms three apples tion unknown quantity unlike signs α₂ دو
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Página 64 - To divide one fraction by another, invert the ' divisor, and proceed as in multiplication.
Página 76 - IN ARITHMETICAL PROPORTION THE SUM OF THE EXTREMES is EQUAL TO THE SUM OF THE MEANS. 24. GEOMETRICAL' PROPORTION is AN EQUALITY OF GEOMETRICAL RATIOS, AND ARITHMETICAL PROPORTION AN EQUALITY OF ARITHMETICAL RATIOS.
Página 61 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Página 35 - There is no moral element, for example, in the conviction we have that things equal to the same thing are equal to one another.
Página 77 - The sum of a series of quantities in arithmetical progression is found by multiplying the sum of the first and last terms by half the number of terms.