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according to Art algebraic arithmetical arithmetical progression binomial cents Charles Anthon coefficient Completing the square contrary sign cube root cubic equation decimal deduce denotes Divide the number dividend divisible equal equation containing example exponent expression extracting the square factors find the values following R U L four quantities fourth power fourth root fraction geometrical geometrical progression given equation greater greatest common divisor Hence inder inequality infinite series last term less letters taken LL.D means of logarithms method miles monomial multiplied negative nth root number of permutations number of terms º º obtain order of differences original equation polynomial positive preceding Prob problem proportion quadratic equations quotient radical quantities ratio Reduce remainder represent Required the number Required the square result second degree second term Sheep extra solved square root subtract surd theorem unity unknown quantity Whence whole number
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 345 - Schmucker's Psychology ; Or, Elements of a new System of Mental Philosophy, on the Basis of Consciousness and Common Sense.