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according added affected algebraic applicable arithmetical assumed becomes binomial called cents changed coefficient combinations complete consider containing continued cube root denominator denotes difference distance Divide dividend divisible divisor dollars employed equal equation example exponent expression extract factors fifth figure find the values four fourth power fraction geometrical Given gives greater Hence hour increased indicated inequality infinite series involving least less letters logarithm manner means method miles monomial multiplied negative obtain operation original perform polynomial positive preceding principle Prob problem progression proportion proposed PROPOSITION quotient radical ratio Reduce remainder represent Required Resolve result RULE second term seen Sheep simple solution solved square root substitute subtract successive suppose surd taken term third traveled unity unknown quantity variation Whence whole
Page 344 - Sallust's Jugurthine War and Conspiracy of Catiline. With an English Commentary, and Geographical and Historical Indexes. Portrait. 12mo, Sheep extra, 75 cents. Anthon's Horace. The Works of Horace. With English Notes, Critical and Explanatory. A new Edition, corrected and enlarged...
Page 343 - Latin Grammar, Part I. Containing the most important Parts of the Grammar of the Latin Language, together with appropriate Exercises in the translating and writing of Latin.
Page 345 - OF CHEMISTRY ; Including the most Recent Discoveries and Applications of the Science to Medicine and Pharmacy, and to the Arts. By ROBERT KANE, MDMRIA, Professor of Natural Philosophy to the Royal Dublin Society.
Page 341 - Elements of Rhetoric and Literary Criticism, with copious Practical Exercises and Examples : including, also, a succinct History of the English Language, and of British and American Literature, from the earliest to the present Times.
Page 32 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 343 - Commentaries on the Gallic War, and the First Book of the Greek Paraphrase ; with English Notes, Critical and Explanatory, Plans of Battles, Sieges, &c., and Historical, Geographical, and Archaeological Indexes.
Page 162 - A vintner draws a certain quantity of wine out of a full vessel that holds 256 gallons ; and then filling the vessel with water, draws off the same quantity of liquor as before, and so on for four draughts, when there were only 81 gallons of pure wine left. How much wine did he draw each time ? 50.
Page 189 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 345 - Schmucker's Psychology ; Or, Elements of a new System of Mental Philosophy, on the Basis of Consciousness and Common Sense.
Page 43 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.