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Diamond :: Diamond (n.) A geometrical figure, consisting of four equal straight lines, and having two of the interior angles acute and two obtuse; a rhombus; a lozenge..

Mean :: Mean (n.) A quantity having an intermediate value between several others, from which it is derived, and of which it expresses the resultant value; usually, unless otherwise specified, it is the simple average, formed by adding the quantities together and dividing by their number, which is called an arithmetical mean. A geometrical mean is the square root of the product of the quantities..

Quaternion :: Quaternion (n.) The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form..

Fold :: Fold (v.) Times or repetitions; -- used with numerals, chiefly in composition, to denote multiplication or increase in a geometrical ratio, the doubling, tripling, etc., of anything; as, fourfold, four times, increased in a quadruple ratio, multiplied by four..

Generation :: Generation (n.) The formation or production of any geometrical magnitude, as a line, a surface, a solid, by the motion, in accordance with a mathematical law, of a point or a magnitude; as, the generation of a line or curve by the motion of a point, of a surface by a line, a sphere by a semicircle, etc..

Transform :: Transform (v. t.) To change, as an algebraic expression or geometrical figure, into another from without altering its value..

Strategetic :: Stratarithmetry (n.) The art of drawing up an army, or any given number of men, in any geometrical figure, or of estimating or expressing the number of men in such a figure..

Decussate :: Decussate (v. t.) To cross at an acute angle; to cut or divide in the form of X; to intersect; -- said of lines in geometrical figures, rays of light, nerves, etc..

Dioptrics :: Dioptrics (n.) The science of the refraction of light; that part of geometrical optics which treats of the laws of the refraction of light in passing from one medium into another, or through different mediums, as air, water, or glass, and esp. through different lenses; -- distinguished from catoptrics, which refers to reflected light..

Solid :: Solid (a.) Having all the geometrical dimensions; cubic; as, a solid foot contains 1,728 solid inches..

Orbitelae :: Orbitelae (n. pl.) A division of spiders, including those that make geometrical webs, as the garden spider, or Epeira..

Series :: Series (n.) An indefinite number of terms succeeding one another, each of which is derived from one or more of the preceding by a fixed law, called the law of the series; as, an arithmetical series; a geometrical series..

Sphere :: Sphere (n.) The apparent surface of the heavens, which is assumed to be spherical and everywhere equally distant, in which the heavenly bodies appear to have their places, and on which the various astronomical circles, as of right ascension and declination, the equator, ecliptic, etc., are conceived to be drawn; an ideal geometrical sphere, with the astronomical and geographical circles in their proper positions on it..

Side :: Side (n.) The margin, edge, verge, or border of a surface; especially (when the thing spoken of is somewhat oblong in shape), one of the longer edges as distinguished from the shorter edges, called ends; a bounding line of a geometrical figure; as, the side of a field, of a square or triangle, of a river, of a road, etc..

Geometrically :: Geometrically (adv.) According to the rules or laws of geometry.

Quadrat :: Quadrat (n.) An old instrument used for taking altitudes; -- called also geometrical square, and line of shadows..

Proportion :: Proportion (n.) The equality or similarity of ratios, especially of geometrical ratios; or a relation among quantities such that the quotient of the first divided by the second is equal to that of the third divided by the fourth; -- called also geometrical proportion, in distinction from arithmetical proportion, or that in which the difference of the first and second is equal to the difference of the third and fourth..

Conical :: Conical (a.) Having the form of, or resembling, a geometrical cone; round and tapering to a point, or gradually lessening in circumference; as, a conic or conical figure; a conical vessel..

Geometrical :: Geometrical (a.) Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem..

Exhaustion :: Exhaustion (n.) An ancient geometrical method in which an exhaustive process was employed. It was nearly equivalent to the modern method of limits.

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