# Elements of algebra

1840 - 80 pages

### Popular passages

Page 22 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 22 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number. EXAMPLES FOR PRACTICE.
Page 20 - If the numerator and -denominator of a fraction be both multiplied, or both divided, by the same quantity, the value of /the fraction is not altered.
Page 10 - The square of the sum of two quantities equals the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 16 - Any term may be transposed from one side of an equation to the other by changing its sign.
Page 10 - That is, the product of the sum and difference of two quantities equals the difference of their squares.
Page 27 - Divide £64 among three persons, so that the first may have three times as much as the second, and the third, one-third as much as the first and second together.
Page 36 - Find the cube root of the first term, write it as the first term of the root, and subtract its cube from the given expression.
Page 18 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Page 29 - Find the value of one of the unknown quantities, in terms of the other and known quantities...