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added Algebra arithmetical progression binomial binomial theorem called coefficients common difference common logarithms complete quotient contained cube root deduced denominator denotes divided dividend divisor Eaise Edinburgh Eequired the number equal equation EXAMPLES EXERCISES expression factors Fcap find the number Find the sum find the value follows formula fraction gives greater greatest common measure Hence hypotenuse indicates infinite series infinity integer least common multiple less letters logarithms method miles miles per hour multiplied negative nth term number of balls number of combinations number of terms obtain order of differences partial fractions positive probability proportion quadratic quadratic equation quotient ratio reduced remainder second term shew shewn sides square root substitution subtracted successive supposed surds things taken transposing triangle University of Edinburgh unknown quantity varies vinculum whence whole number
Page 191 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.
Page 191 - A vintner sold 7 dozen of sherry and 12 dozen of claret for £50, and finds that he has sold 3 dozen more of sherry for £10 than he has of claret for £6. Required the price of each.
Page 201 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished 4 times as many men as there were companies in the regiment ; but these being found insufficient, each company furnished three more men, when their number was found to be increased in the proportion of 17 to 16.
Page 351 - KELLAND (Professor). Elements of Algebra, for the use of Schools and Junior Classes in Colleges. Crown 8vo, price 4s. — Algebra — being a, Complete and easy Introduction to Analytical Science. Crown 8vo, pp. 467, price 7s. 6d. KEMP (WS, MA) Exercises in Latin Syntax, adapted to Ruildiman's Bules, with Copions Vocabularies.
Page 197 - London, in order to distinguish his own from any he might meet on the road, pulled three feathers out of the tail of each turkey, and one out of the tail of each goose ; and, upon counting them, found that the number of turkey's feathers exceeded twice those of the geese by 15.
Page 274 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 348 - HISTORY OF PALESTINE, from the Patriarchal Age to the Present . Time ; with Introductory Chapters on the Geography and Natural History of the Country, and on the Customs and Institutions of the Hebrews. By JOHN KITTO, DD, Author of" Scripture Daily Readings," " Cyclopaedia of Biblical Literature,
Page 229 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.