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

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### Common terms and phrases

annuity arithmetical mean Arithmetical Progression Binomial Theorem black balls chance coefficient common measure contains continued fraction convergent cube root denote the number digits divided divisible divisor equal event example expansion Extract the square factors find the number Geometrical Progression given equations given number greater than unity harmonical mean Hence least common multiple less than unity letters logarithm miles Multiply negative quantity number of combinations number of permutations number of terms numerator and denominator obtain occur positive integers positive quantity preceding article prime number probability problem proper fraction prove quadratic equation quadratic surd quotient radix ratio remainder respectively result scale shew shewn shillings Similarly solution solve square root St John's College student subtraction suppose supposition surd things taken third trial unknown quantities white balls whole number zero

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Page 553 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.

Page 59 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.

Page 134 - Divide this quantity, omitting the last figure, by twice the part of the root already found, and annex the result to the root and also to the divisor, then multiply the divisor as it now stands by the part of the root last obtained for the subtrahend.

Page 553 - DREW.— A Geometrical Treatise on Conic Sections, with Copious Examples from the Cambridge Senate House Papers. By WH DREW, MA of St. John's College, Cambridge, Second Master of Blackheath Proprietary School. Crown 8vo. cloth, 4«.

Page 283 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.

Page 19 - The product of the sum and difference of two numbers is equal to the difference of their squares.

Page 85 - A ship sails with a supply of biscuit for 60 days, at a daily allowance of a pound a head ; after being at sea 20 days she encounters a storm in which 5 men are washed overboard, and damage sustained that will cause a delay of 24 days, and it is found that each man's allowance must be reduced to five-sevenths of a pound.

Page 395 - The same method may be applied to find the sum of the cubes of the first n natural numbers, or the sum of their fourth powers, and so on.