## Ray's Algebra, Part Second: An Analytical Treatise, Designed for High Schools and Academies, Del 2 |

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Ray's Algebra, Part Second: An Analytical Treatise Designed for High Schools ... Joseph Ray Uten tilgangsbegrensning - 1852 |

Ray's Algebra, Part Second: An Analytical Treatise, Designed for High ... Joseph Ray Uten tilgangsbegrensning - 1857 |

Ray's Algebra, Part Second: An Analytical Treatise, Designed for High ..., Del 2 Joseph Ray Uten tilgangsbegrensning - 1857 |

### Vanlige uttrykk og setninger

added algebraic applied approximate arithmetical assume balls becomes binomial called changed coëfficients complete consists containing continued corresponding cube root decimal denominator denotes derived determine difference Divide dividend divisible equal equation evident EXAMPLES exponent expressed factors figure Find the square find the value formula four fourth fraction geometrical given gives greater greatest common divisor Hence increased integral known least less letters logarithm manner means method miles minus monomial Multiply necessary negative obtained operation perform places polynomial positive PRACTICE preceding principle problem progression proportion prove question quotient radical ratio Reduce remainder REMARK represent required to find result second degree side similar solution solved square root substituting subtracted suppose taken term theorem third tion transform travels true units unknown quantity variations whence whole zero

### Populære avsnitt

Side 73 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.

Side 33 - 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.

Side 130 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Side 130 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.

Side 29 - 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.

Side 173 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...

Side 25 - Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike signs give minus.

Side 18 - Multiply the coefficients of the two terms together, and to their product annex all the letters in both quantities, giving to each letter an exponent equal to the sum of its exponents in the two factors.

Side 19 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.

Side 118 - ... and place its root on the right after the manner of a quotient in division. Subtract the square of the root from the first period, and to the remainder bring down the second period for a dividend.