Algebra for the Use of Colleges and Schools: With Numerous Examples |
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Common terms and phrases
a+b+c a₁ algebraical arithmetical mean Arithmetical Progression ax² binomial factors Binomial Theorem common measure continued fraction cube denominator denote digits divergent divided divisible divisor equal example expansion exponent expression Extract the square Find the number find the value Geometrical Progression Given log greater than unity Hence infinite series less than unity logarithm mean Multinomial Theorem multiply nth term number of combinations number of permutations number of terms number represented numerically less obtain P₁ P₂ positive integer positive quantity preceding Article probability proper fraction quadratic quotient radix ratio recurring decimal remainder result scale series is convergent shew shewn shillings Similarly Solve square root subtract suppose surds things taken u₁ unknown quantities white balls whole number zero
Popular passages
Page 23 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Page 25 - To divide one fraction by another, invert the ' divisor, and proceed as in multiplication.
Page 30 - By transposing we mean bringing the unknown quantities (x, y, z, etc.) to one side of the equation, and the known quantities to the other.
Page 5 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page 190 - The general formula for the number of combinations of n things taken r at a time is C(и,r) = n\ r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Page 25 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.
Page 144 - One quantity is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus...