Online Encyclopedia

DIAMETER (from the Cr. &a, through, µ...

Online Encyclopedia
Originally appearing in Volume V08, Page 158 of the 1911 Encyclopedia Britannica.
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DIAMETER (from the Cr. &a, through, µErpov, measure)  , in
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geometry, a
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line passing through the centre of a circle or conic section and terminated by the curve; the "
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principal diameters" of the ellipse and
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hyperbola coincide with the "axes" and are at right angles;" conjugate diameters " are such that each bisects chords parallel to the other . The diameter of a
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quadric
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surface is a line at the extremities of which the tangent planes are parallel . Newton defined the diameter of a curve of any order as the locus of the centres of the mean distances of the points of intersection of a
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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 power of a lens or microscope . In architecture, the
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term is used to express the measure of the
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lower
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part of the shaft of a column . It is employed by Vitruvius (iii . 2) to determine the height of a column, which should vary from eight to ten diameters according to the intercolumniation: and it is generally the custom to fix the lower diameter of the shaft by the height required and the Order employed . Thus the diameter of the
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Roman Doric should be about one-eighth of the height, that of the Ionic one-ninth, and of the 'Corinthian one-tenth (see ORDER) .

End of Article: DIAMETER (from the Cr. &a, through, µErpov, measure)
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