## An Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges |

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An Introduction to Algebra, Being the First Part of a Course of Mathematics ... Dd Ll D. Jeremiah Day Sin vista previa disponible - 2018 |

### Términos y frases comunes

abscissa according added addition algebraic altered antecedent applied arithmetical become binomial calculation called changed co-efficients common Completing compound consequent considered consists contained continued cube curve demonstration denominator determined difference diminished divided dividend division divisor dollars effect equal evident examples Expand expression extracting factors four fourth fraction frequently geometrical give given greater half Hence inches increased infinite instances involved known length less letters manner mathematics means measure method Mult multiplicand multiplied nature necessary negative Note obtain placed positive preceding principle Prob problem progression proportion quotient radical sign ratio Reduce the equation relations remainder rule shows sides simple square root substituted subtracted supposed taken taking third tion triangle twice unit unknown quantity varies whole

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Página 296 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.

Página 31 - We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.

Página 68 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.

Página 229 - 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.

Página 161 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...

Página 146 - A gentleman bought a number of pieces of cloth for 675 dollars, which he sold again at 48 dollars by the piece, and gained by the bargain as much as one piece cost him. What was the number of pieces? Ans. 15.

Página 184 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.