Part 4771

<hw>Ge"o*man`cer</hw> <tt>(?)</tt>, <tt>n.</tt> <def>One who practices, or is versed in, geomancy.</def>

<h1>Geomancy</h1> <Xpage=621>

<hw>Ge"o*man`cy</hw> <tt>(?)</tt>, <tt>n.</tt> <ety>[OE. <ets>geomance</ets>, <ets>geomancie</ets>, F. <ets>g\'82omance</ets>, <ets>g\'82omancie</ets>, LL. <ets>geomantia</ets>, fr. Gr. <?/, <?/, the earth + <?/ divination.]</ety> <def>A kind of divination by means of figures or lines, formed by little dots or points, originally on the earth, and latterly on paper.</def>

<h1>Geomantic, Geomantical</h1> <Xpage=621>

<hw><hw>Ge`o*man"tic</hw> <tt>(?)</tt>, <hw>Ge`o*man"tic*al</hw> <tt>(?)</tt>,<hw> <tt>a.</tt> <ety>[Cf. F. <ets>g\'82omantique</ets>.]</ety> <def>Pertaining or belonging to geomancy.</def>

<h1>Geometer</h1> <Xpage=621>

<hw>Ge*om"e*ter</hw> <tt>(?)</tt>, <tt>n.</tt> <ety>[F. <ets>g\'82om\'8atre</ets>, L. <ets>geometres</ets>, <ets>geometra</ets>, fr. Gr. <?/, fr. <?/, <?/, the earth + <?/ measure. See <er>Meter</er> measure.]</ety> <p><b>1.</b> <def>One skilled in geometry; a geometrician; a mathematician.</def>

<i>I. Watts.</i>

<p><b>2.</b> <fld>(Zo\'94l.)</fld> <def>Any species of geometrid moth; a geometrid.</def>

<h1>Geometral</h1> <Xpage=621>

<hw>Ge*om"e*tral</hw> <tt>(?)</tt>, <tt>a.</tt> <ety>[Cf. F. <ets>g\'82om\'82tral</ets>.]</ety> <def>Pertaining to geometry.</def> <mark>[Obs.]</mark>

<h1>Geometric, Geometrical</h1> <Xpage=621>

<hw><hw>Ge`o*met"ric</hw> <tt>(?)</tt>, <hw>Ge`o*met"ric*al</hw> <tt>(?)</tt>,<hw> <tt>a.</tt> <ety>[L. <ets>geometricus</ets>; Gr. <?/: cf. F. <ets>g\'82om\'82trique</ets>.]</ety> <def>Pertaining to, or according to the rules or principles of, geometry; determined by geometry; <as>as, a <ex>geometrical</ex> solution of a problem</as>.</def>

<note>&hand; <i>Geometric</i> is often used, as opposed to <i>algebraic</i>, to include processes or solutions in which the propositions or principles of geometry are made use of rather than those of algebra.</note>

<note>&hand; <i>Geometrical</i> is often used in a limited or strictly technical sense, as opposed to <i>mechanical</i>; thus, a construction or solution is <i>geometrical</i> which can be made by ruler and compasses, <i>i</i>. <i>e</i>., by means of right lines and circles. Every construction or solution which requires any other curve, or such motion of a line or circle as would generate any other curve, is not <i>geometrical</i>, but <i>mechanical</i>. By another distinction, a <i>geometrical</i> solution is one obtained by the rules of geometry, or processes of analysis, and hence is exact; while a <i>mechanical</i> solution is one obtained by trial, by actual measurements, with instruments, etc., and is only approximate and empirical.</note>

<cs><col>Geometrical curve</col>. <cd>Same as <i>Algebraic curve<i>; -- so called because their different points may be constructed by the operations of elementary geometry.</cd> -- <col>Geometric lathe</col>, <cd>an instrument for engraving bank notes, etc., with complicated patterns of interlacing lines; -- called also <altname>cycloidal engine</altname>.</cd> -- <col>Geometrical pace</col>, <cd>a measure of five feet.</cd> -- <col>Geometric pen</col>, <cd>an instrument for drawing geometric curves, in which the movements of a pen or pencil attached to a revolving arm of ajustable length may be indefinitely varied by changing the toothed wheels which give motion to the arm.</cd> -- <col>Geometrical plane</col> <fld>(Persp.)</fld>, <cd>the same as <altname>Ground plane</altname> .</cd> -- <mcol><col>Geometrical progression</col>, <col>proportion</col>, <col>ratio</col></mcol>. <cd>See under <er>Progression</er>, <er>Proportion</er> and <er>Ratio</er>.</cd> -- <col>Geometrical radius</col>, <cd>in gearing, the radius of the pitch circle of a cogwheel.</cd> <i>Knight</i>. -- <col>Geometric spider</col> <fld>(Zo\'94l.)</fld>, <cd>one of many species of spiders, which spin a geometrical web. They mostly belong to <spn>Epeira</spn> and allied genera, as the garden spider. See <er>Garden spider</er>.</cd> -- <col>Geometric square</col>, <cd>a portable instrument in the form of a square frame for ascertaining distances and heights by measuring angles.</cd> -- <col>Geometrical staircase</col>, <cd>one in which the stairs are supported by the wall at one end only.</cd> -- <col>Geometrical tracery</col>, <cd>in architecture and decoration, tracery arranged in geometrical figures.</cd></cs>

<hr> <page="622"> Page 622<p>

<h1>Geometrically</h1> <Xpage=622>

<hw>Ge`o*met"ric*al*ly</hw> <tt>(?)</tt>, <tt>adv.</tt> <def>According to the rules or laws of geometry.</def>

<h1>Geometrician</h1> <Xpage=622>

<hw>Ge*om`e*tri"cian</hw> <tt>(?)</tt>, <tt>n.</tt> <def>One skilled in geometry; a geometer; a mathematician.</def>

<h1>Geometrid</h1> <Xpage=622>

<hw>Ge*om"e*trid</hw> <tt>(?)</tt>, <tt>a.</tt> <fld>(Zo\'94l.)</fld> <def>Pertaining or belonging to the <i>Geometrid\'91</i>.</def>

<h1>Geometrid</h1> <Xpage=622>

<hw>Ge*om"e*trid</hw>, <tt>n.</tt> <fld>(Zo\'94l.)</fld> <def>One of numerous genera and species of moths, of the family <i>Geometrid\'91</i>; -- so called because their larv\'91 (called <i>loopers</i>, <i>measuring worms</i>, <i>spanworms</i>, and <i>inchworms</i>) creep in a looping manner, as if measuring. Many of the species are injurious to agriculture, as the cankerworms.</def>

<h1>Geometrize</h1> <Xpage=622>

<hw>Ge*om"e*trize</hw> <tt>(?)</tt>, <tt>v. i.</tt> <wordforms>[<tt>imp. & p. p.</tt> <er>Geometrized</er> <tt>(?)</tt>; <tt>p. pr. & vb. n.</tt> <er>Geometrizing</er> <tt>(?)</tt>.]</wordforms> <def>To investigate or apprehend geometrical quantities or laws; to make geometrical constructions; to proceed in accordance with the principles of geometry.</def>

<blockquote>Nature <b>geometrizeth</b>, and observeth order in all things. <i>Sir T. Browne.</i></blockquote>