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 expression algebraic quantities apples arithmetical arithmetical means arithmetical progression binomial Binomial Theorem called cents coefficient common denominator common difference complete equation completing the square contains contrary signs cube dividend division divisor dollars enunciation EXAMPLES exponent extracting the square figure find a number Find the factors Find the square Find the sum Find the values find three numbers following RULE Form the square geometrical progression give a sum Give the rule given number greater greyhound Hence last term least common multiple Let be divided letters logarithm minus mixed quantity nator negative number added number of terms numerator and denominator obtain perfect square progression proportion question quotient ratio remainder Required the difference second degree second term simplest form square root Substituting this value subtractive terms sum equal third transposing trinomial twice the product units expressed unknown quantity Verification whence yards
Popular passages
Page 136 - 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 228 - Hence, proportion is an equality of ratios. •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 134 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
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 114 - A person bought a chaise, horse, and harness, for £60 ; the horse came to twice the price of the harness, and the chaise to twice the price of the horse and harness ; what did he give for each?
Page 110 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Page 143 - 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 roots of...
Page 38 - Divide the coefficient of the dividend by the coefficient of the divisor.
Page 101 - How many persons are there, and how much is each to receive ? 1 1 . What fraction is that, to the numerator of which if 1 be added, its value will be |, but if 1 be added to its denominator its value will be i.
Page 114 - 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.