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 quantities apples arithmetical arithmetical means arithmetical progression binomial Binomial Theorem called cents coefficient common denominator common difference completing the square contain contrary sign cube decimal Divide dividend division divisor dollars double product enunciation equation gives EXAMPLES exponent extracting the square fifth power figure find a number Find the square Find the sum Find the values find three numbers following RULE fourth power geometrical progression give a sum Give the rule given number greater greyhound Hence incomplete equation known term last term least common multiple letter logarithm mixed quantity monomial Multiply nator negative number added number of terms obtain perfect square polynomial proportion question quotient ratio Reduce remainder second degree second term simplest form square root Substituting this value sum equal tens third transposing trinomial twice the product units unknown quantity values of x Verification whence yards
Popular passages
Page 228 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Page 136 - The result of this operation, 1184, contains twice the product of the tens by the units, plus the square of the units.
Page 229 - Quantities are said to be in proportion by alternation, or alternately, when antecedent is compared- with antecedent and consequent with consequent. Thus, if we have the proportion 3 : 6 : : 8 : 16, the alternate proportion would be 3 : 8 : : 6 : 16. QUEST. — 147. When are three quantities proportional ? What is the middle one called ? — 148. When are quantities said to be in proportion by inversion, or inversely?
Page 155 - Divide the coefficient of the dividend by the coefficient of the divisor.
Page 231 - AC and by clearing the equation of fractions we have BO=AD; that is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Page 232 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 138 - 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 271 - A person has four casks, the second of which being filled from the first, leaves the first four-sevenths full. The third being filled from the second, leaves it one-fourth full, and when the third is emptied into the fourth, it is found to fill only nine-sixteenths of it. But the first will fill the third and' fourth, and leave 15 quarts remaining.
Page 79 - Ibs., his head weighed as much as his tail and half his body, and his body weighed as much as his head and t.ail together : what was the weight of the fish ? Let 2x = the weight of the body, in pounds.
Page 116 - 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.