Download A Dictionary of Selected Synonyms in the Principal by Carl Darling Buck PDF

By Carl Darling Buck

Originally released in 1949 and showing now for the 1st time in a paperbound variation, Buck's Dictionary is still an critical software for diachronic research of the Indo-European languages. prepared in accordance with the which means of phrases, the paintings includes greater than 1,000 groupings of synonyms from the imperative Indo-European languages. greenback first tabulates the phrases describing a specific suggestion after which discusses their etymological and semantic heritage, tracing adjustments in which means of the foundation phrases in addition to featuring instances indicating which of the older types were changed by way of expressions of colloquial or overseas origin.

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Additional info for A Dictionary of Selected Synonyms in the Principal Indo-European Languages: A Contribution to the History of Ideas

Example text

Concentric spheres center. Spheres with the same cone A solid in R3 , bounded by a region in a plane (the base) and the surface formed by straight lines (the generators) which join points of the boundary of the base to a fixed point (the vertex) not in the plane of the base. , at another point is sometimes also called a cone. A cone may be viewed as a quadratic surface, whose equation is Ax 2 + By 2 + Cz2 = 0 (A, B, C = 0). When A = B, it is a right circular cone (also called a cone of revolution); if A=B, it is an oblique circular cone.

The conical surface consists of two concave pieces positioned symmetrically about the vertex. It is quadric if the directrix is a conic. A circular conical surface is one whose directrix is a circle and whose vertex is on the line perpendicular to the plane of the circle and passing through the center of the circle. , (A11 ∨ · · · ∨ A1m1 ) ∧ · · · ∧ (An1 ∨ · · · ∨ Anmn ), where each Aij , 1 ≤ i ≤ n, 1 ≤ j ≤ mi , is either a sentence symbol or the negation of a sentence symbol. Every well-formed propositional formula is logically equivalent to one in conjunctive normal form.

If the expression consists of only a finite number of fractions, the expression is called a finite continued fraction and is (obviously) a rational number. See also finite continued fraction. An infinite simple continued fraction is one of the form a0 + 1 a1 + 1 a2 + 1 a3 + 1 .. where each of the ai is an integer. See also convergence of a continued fraction. continuous function A function f from a topological space X to a topological space Y such that, for each open U ⊆ Y , the set f −1 (U ) is open in X.

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