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2 definitions found
 for Geometrical pace
From The Collaborative International Dictionary of English v.0.48 :

  Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [L.
     geometricus; Gr. ?: cf. F. g['e]om['e]trique.]
     1. Pertaining to, or according to the rules or principles of,
        geometry; determined by geometry; as, a geometrical
        solution of a problem.
        [1913 Webster]
     2. (Art) characterized by simple geometric forms in design
        and decoration; as, a buffalo hide painted with red and
        black geometrical designs.
     Syn: geometric.
          [WordNet 1.5]
     Note: Geometric is often used, as opposed to algebraic, to
           include processes or solutions in which the
           propositions or principles of geometry are made use of
           rather than those of algebra.
           [1913 Webster]
     Note: Geometrical is often used in a limited or strictly
           technical sense, as opposed to mechanical; thus, a
           construction or solution is geometrical which can be
           made by ruler and compasses, i. e., 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
           geometrical, but mechanical. By another distinction, a
           geometrical solution is one obtained by the rules of
           geometry, or processes of analysis, and hence is exact;
           while a mechanical solution is one obtained by trial,
           by actual measurements, with instruments, etc., and is
           only approximate and empirical.
           [1913 Webster]
     Geometrical curve. Same as Algebraic curve; -- so called
        because their different points may be constructed by the
        operations of elementary geometry.
     Geometric lathe, an instrument for engraving bank notes,
        etc., with complicated patterns of interlacing lines; --
        called also cycloidal engine.
     Geometrical pace, a measure of five feet.
     Geometric pen, an instrument for drawing geometric curves,
        in which the movements of a pen or pencil attached to a
        revolving arm of adjustable length may be indefinitely
        varied by changing the toothed wheels which give motion to
        the arm.
     Geometrical plane (Persp.), the same as Ground plane .
     Geometrical progression, proportion, ratio. See under
        Progression, Proportion and Ratio.
     Geometrical radius, in gearing, the radius of the pitch
        circle of a cogwheel. --Knight.
     Geometric spider (Zool.), one of many species of spiders,
        which spin a geometrical web. They mostly belong to
        Epeira and allied genera, as the garden spider. See
        Garden spider.
     Geometric square, a portable instrument in the form of a
        square frame for ascertaining distances and heights by
        measuring angles.
     Geometrical staircase, one in which the stairs are
        supported by the wall at one end only.
     Geometrical tracery, in architecture and decoration,
        tracery arranged in geometrical figures.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  pace \pace\ (p[=a]s), n. [OE. pas, F. pas, from L. passus a
     step, pace, orig., a stretching out of the feet in walking;
     cf. pandere, passum, to spread, stretch; perh. akin to E.
     patent. Cf. Pas, Pass.]
     1. A single movement from one foot to the other in walking; a
        [1913 Webster]
     2. The length of a step in walking or marching, reckoned from
        the heel of one foot to the heel of the other; -- used as
        a unit in measuring distances; as, he advanced fifty
        paces. "The height of sixty pace ." --Chaucer.
        [1913 Webster]
     Note: Ordinarily the pace is estimated at two and one half
           linear feet; but in measuring distances be stepping,
           the pace is extended to three feet (one yard) or to
           three and three tenths feet (one fifth of a rod). The
           regulation marching pace in the English and United
           States armies is thirty inches for quick time, and
           thirty-six inches for double time. The Roman pace
           (passus) was from the heel of one foot to the heel of
           the same foot when it next touched the ground, five
           Roman feet.
           [1913 Webster]
     3. Manner of stepping or moving; gait; walk; as, the walk,
        trot, canter, gallop, and amble are paces of the horse; a
        swaggering pace; a quick pace. --Chaucer.
        [1913 Webster]
              To-morrow, and to-morrow, and to-morrow,
              Creeps in this petty pace from day to day. --Shak.
        [1913 Webster]
              In the military schools of riding a variety of paces
              are taught.                           --Walsh.
        [1913 Webster]
     4. A slow gait; a footpace. [Obs.] --Chucer.
        [1913 Webster]
     5. Specifically, a kind of fast amble; a rack.
        [1913 Webster]
     6. Any single movement, step, or procedure. [R.]
        [1913 Webster]
              The first pace necessary for his majesty to make is
              to fall into confidence with Spain.   --Sir W.
        [1913 Webster]
     7. (Arch.) A broad step or platform; any part of a floor
        slightly raised above the rest, as around an altar, or at
        the upper end of a hall.
        [1913 Webster]
     8. (Weaving) A device in a loom, to maintain tension on the
        warp in pacing the web.
        [1913 Webster]
     9. The rate of progress of any process or activity; as, the
        students ran at a rapid pace; the plants grew at a
        remarkable pace.
     Geometrical pace, the space from heel to heel between the
        spot where one foot is set down and that where the same
        foot is again set down, loosely estimated at five feet, or
        by some at four feet and two fifths. See Roman pace in
        the Note under def. 2. [Obs.]
     To keep pace with or To hold pace with, to keep up with;
        to go as fast as. "In intellect and attainments he kept
        pace with his age." --Southey.
     To put (someone) through one's paces to cause (someone) to
        perform an act so as to demonstrate his/her skill or
        [1913 Webster +PJC]

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