Elements of algebra1828 - Algebra |
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Common terms and phrases
10th power 1st power 3d Powers 4th power 5th root 6th power a+b+c Algebraic quantities arithmetical mean arithmetical proportion ax+x² binomial biquadrate compound quantity cube root cubic equations Divide the number dividend equal Examples Exercises Extract the square find any power Find the 4th Find the cubes Find the difference Find the square Find the sum find the value found by extracting Four quantities fourth power fourth root geometrical proportion given quantity greatest common measure Hence improper fractions last term letters lowest terms measure or divisor minus mixed quantities moidore negative quantity number or quantity positive quantity power of a+x prefixed QUADRATIC EQUATIONS quadrinomial quan quotient Reduce remainder required power required the number RESOLUTION OF EQUATIONS second quantity second term sides simple quantity square root surd third Three quantities tities unity unknown quantity unlike signs value of x whence whole number whole or mixed ах
Popular passages
Page 18 - 3. A person has two horses, and a saddle worth £50; if the saddle be put on the first horse, it will make its value double that of the second; but if it be put on the second, it will make its value triple that of the first; what is the value of each horse?
Page 43 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3, but 2 of the greyhound's leaps are as much as 3 of the hare's; how many leaps must the greyhound take to catch the hare.
Page 36 - for a divisor, and divide the first term of the dividend by the first term of the divisor, for the next term of the quotient,
Page 43 - There is a certain number, consisting of two places of figures, which is equal to four times the sum of its digits; and if 18 be added to it, the digits will be inverted; what is the number?
Page 43 - 7. 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 together in 10 days; how many days will it take each
Page 29 - 12. A man and his wife usually drank a cask of beer in 12 days, but when the man was absent it lasted the wife 30 days; how long would
Page 18 - 2. Two Persons A and B, have both the same income; A saves £ of his yearly, but B by spending £50 a year more than A, at the end of
Page 43 - Divide the absolute term into periods of as many figures each as there are units in the index of the first term, if necessary; and mark out a place for the quotient on the
Page 43 - Find two numbers such, that their product shall be equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
Page 6 - 5. Divide the number 36 into three such parts, that £ of the first, £ of the second, and \ of the third, shall be all equal to each other.