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See also:DIAMETER (from the Cr. &a, through, µErpov, measure) , in See also:geometry, a See also:line passing through the centre of a circle or conic See also:section and terminated by the See also:curve; the "See also:principal diameters" of the See also:ellipse and See also:hyperbola coincide with the "axes" and are at right angles;" conjugate diameters " are such that each bisects chords parallel to the other . The See also:diameter of a See also:quadric See also:surface is a line at the extremities of which the tangent planes are parallel . See also:Newton defined the diameter of a curve of any See also:order as the See also:locus of the centres of the mean distances of the points of intersection of a See also:system of parallel chords with the curve; this locus may be shown to be a straight line . The word is also used as a unit of linear measurement of the magnifying See also:power of a See also:lens or See also:microscope . In See also:architecture, the See also:term is used to See also:express the measure of the See also:lower See also:part of the See also:shaft of a See also:column . It is employed by See also:Vitruvius (iii . 2) to determine the height of a column, which should vary from eight to ten diameters according to the See also:intercolumniation: and it is generally the See also:custom to See also:fix the lower diameter of the shaft by the height required and the Order employed . Thus the diameter of the See also:Roman Doric should be about one-eighth of the height, that of the Ionic one-ninth, and of the 'Corinthian one-tenth (see ORDER) . |
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