Elementary Algebra: Embracing the First Principles of the Science |
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Elementary Algebra: Embracing the First Principles of the Science Charles Davies No preview available - 2016 |
Elementary Algebra: Embracing the First Principles of the Science Charles Davies No preview available - 2016 |
Common terms and phrases
algebraic algebraic quantities apples arithmetical arithmetical means arithmetical progression binomial called cents Clear the equation co-efficient common denominator common difference completing the square contains cube denote the number dividend division divisor dollars elimination equation x² EXAMPLES exponent expression extracting the square fifth power find a number Find the square Find the sum Find the values Find two numbers following RULE four fourth power fraction geometrical progression give a sum Give the rule given number greater greyhound Hence horse incomplete equation John last term leaps least common multiple Let the number letter logarithm metical mixed quantity monomial Multiply number added number of terms obtain ounces of silver perfect square polynomial progression proportion quotient ratio Reduce remainder second degree simplest form square root Substituting this value subtract sum equal third transposing units unknown quantity values of x Verification whence
Popular passages
Page 160 - 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.
Page 163 - Since the square or second power of a fraction is obtained by squaring the numerator and denominator separately, it follows that the square root of a fraction will be equal to the square root of the numerator divided by the square root of the denominator.
Page 16 - Similarly, any term may be transposed from one member of an equation to the other by changing its sign.
Page 197 - 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...
Page 138 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans. A 14JA days, B 17fa, and C 23JT.
Page 255 - BD we have — = -^, (Art. 169) ; and by clearing the equation of fractions, we have BC = AD; that is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Page 295 - The crew of a ship consisted of her complement of sailors, and a number of soldiers. There were 22 sailors to every three guns, and 10 over ; also, the whole number of hands was five times the number of soldiers and guns together.
Page 167 - These expressions may often be simplified, upon the principle that, the square root of the product of two or more factors is equal to the product of the square...
Page 76 - To reduce fractions having different denominators to equivalent fractions having a common denominator. RULE. Multiply each numerator into all the denominators except its own, for the new numerators, and all the denominators together for a common denominator.
Page 252 - Of four proportional quantities, the first and third are called the antecedents, and the second and fourth the consequents ; and the last is said to be a fourth proportional to the other three taken in order. Thus, in the last proportion, A and C are the antecedents, and B and D the consequents.