## The Elements of Algebra |

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added algebraical amount arithmetic becomes called coefficient complete compound contain cube root denominator difference digits divided dividend division divisor equal equation examples expressed factor find the numbers Find the sum former fourth fraction gain geometric give given greater greatest common measure half harmonic Hence increased integral interest involving last term least less letters logarithm means method miles multiplied negative number of terms obtain permutations persons placed positive preceding progression proportion prove quadratic quantity question quotient ratio reduced remainder represent respectively result rule share shew sides simple solution solved square root subtract surd taken things third true twice unity unknown quantity variations whence whole write written

### Popular passages

Page 38 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 199 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...

Page 22 - 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.

Page 173 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.