Elements of algebra1840 - 80 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
1st equation 2ab+b² 2nd power a²+2ab+b² ac+b added arithmetical means arithmetical series Binomial Theorem coefficients common denominator common difference common ratio completing the square compound quantities denotes Divide dividend divisor equal equation containing equation of fractions Extract the square extracting the roots factor Find the greatest find the last find the number find the sum Find the value four quantities fractional index Geometrical means Geometrical series greatest common measure Hence improper fraction index or radical least common multiple LEMMA letters logarithm mixed number multiply the numerator number of permutations number of terms number required numerator and denominator PROOF quadratic equations quotient radical sign Reduce remainder RULE simple equation simple quantities square root subtracted sum required surd things taken tity transposing unknown quantity whole number
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 16 - Any term may be transposed from one side of an equation to the other by changing its sign.
Σελίδα 10 - That is, the product of the sum and difference of two quantities equals the difference of their squares.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 29 - Find the value of one of the unknown quantities, in terms of the other and known quantities...