## Algebra for the Use of Colleges and Schools: With Numerous Examples |

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according algebraical arithmetical balls base becomes beginning binomial called Chapter coefficient combinations common consider consists contains continued fraction convergent definition denominator denote determine difference digits divergent divided divisible divisor equal equation event example expansion expression factors four fraction give given greater greatest Hence hold increased infinite interest less less than unity letters logarithm mean measure miles multiply negative number of terms obtain occur permutations person positive integer preceding present prime probability problem Progression proportion proposed prove quantity quotient ratio remainder represent respectively result rule scale shew shillings side Similarly solution Solve square root student subtract suppose taken Theorem things third true varies write zero

### Popular passages

Page 27 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.

Page 29 - To divide one fraction by another, invert the ' divisor, and proceed as in multiplication.

Page 38 - 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 ii - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples. New Edition, revised and enlarged.

Page 198 - 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 27 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.

Page 152 - 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...