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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..

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..

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

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..

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..

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..

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..

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

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..

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

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

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..

Progression :: Progression (n.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic..

Geometrize :: Geometrize (v. i.) To investigate or apprehend geometrical quantities or laws; to make geometrical constructions; to proceed in accordance with the principles of geometry.

Cissoid :: Cissoid (n.) A curve invented by Diocles, for the purpose of solving two celebrated problems of the higher geometry; viz., to trisect a plane angle, and to construct two geometrical means between two given straight lines..

Part :: Part (n.) Such portion of any quantity, as when taken a certain number of times, will exactly make that quantity; as, 3 is a part of 12; -- the opposite of multiple. Also, a line or other element of a geometrical figure..

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..

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

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..

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..

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