Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and Horner's Theorems |
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Common terms and phrases
arithmetical binomial binomial formula called cent coefficient continued fraction cube root deduce a rule denominator denote the number difference digits Divide dividend dollars equa equation containing EXAMPLES exponent extract the square figures Find the square find the values Find two numbers following RULE formula fourth fraction give given equation given number greater greatest common divisor hence indeterminate indicated infinite number last term least common multiple less letters logarithm monomial nth root number of terms operation ounces perfect square positive preceding principle problem quan quotient radical sign real roots Reduce the polynomial remainder required to find result second degree second member second term simplest form simultaneous equations Solving square root Substituting subtract taken third tion tity transformed Transposing unit unknown quantity whence whole number x²y² xy²
Popular passages
Page 99 - 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 190 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 189 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Page 94 - В contains 9 gallons of wine and 3 gallons of water; how many gallons must be drawn from each cask so as to produce by their mixture 7 gallons of wine and 7 gallons of water t 33.
Page 93 - J of what he then had ; and this done, found that he had but 12 shillings remaining : what had he at first ? Ans.
Page xii - The words employed are signs of ideas. and are also one of the principal instruments or helps of thought; and any imperfection in the instrument, or in the mode of using it, will destroy all ground of confidence in the result. So, in the science of mathematics, the meaning of the terms employed are accurately defined, while the language...
Page 99 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans. 20 days.
Page 26 - Hence we see that the exponent of any letter in the product is equal to the sum of the exponents of this letter in the multiplicand and multiplier.
Page 174 - What two numbers are those whose sum, multiplied by the greater, is equal to 77 ; and whose difference, multiplied by the lesser, is equal to 12 ? Ans.
Page xii - Language is evidently, and by the admission of all philosophers, one of the principal instruments or helps of thought ; and any imperfection in the instrument or in the mode of employing it is confessedly liable, still more than in almost any other art, to confuse and impede the process, and destroy all ground of confidence in the result.