Treatise on the elements of algebra1872 |
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2ab+b² 6abc a²x² added Algebra ax² binomial binomial theorem coefficients common divisor common logarithms complete quotient contained cube root d₁ denominator denotes divided dividend division divisor Edinburgh equal equation EXAMPLES expression factors find the number Find the sum follows formula fraction given gives greater greatest common measure Hence indicates infinity integer least common multiple less letters logarithms method miles multiplied negative nth power nth term number of balls number of combinations number of terms obtained order of differences positive proportion quadratic quadratic equation quotient ratio reduced remainder Required the number second term shew sides square root substitution subtracted supposed surds things taken third transposing triangle University of Edinburgh unknown quantity vinculum whence whole number
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Side 187 - 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.
Side 224 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Side 187 - 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.
Side 197 - 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.
Side 347 - 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.
Side 193 - 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.
Side 270 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Side 344 - 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,
Side 225 - 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.
Side 310 - To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment.