a. (sb.) Also (in sense 4) -el. [f. prec. + -AL. So mod.F. tétragonal.]

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  1.  Of or pertaining to a tetragon; having four angles; quadrangular.

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1571.  Digges, Pantom., IV. T j b. When any equiangle triangle, square, or Pentagonum is … described within a circle,… their sides are called the trigonall, tetragonall and pentagonall Cordes of that circle.

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1667.  Phil. Trans., II. 627. Two Tetragonal Prismes of Tendons.

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1874.  Coues, Birds N. W., 592. An elongated pyramid with a tetragonal base.

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  2.  Bot. and Zool. Quadrangular in section, like a ‘square’ rod; tetraquetrous.

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1753.  Chambers, Cycl. Supp., s.v. Leaf, A leaf that has, instead of three ribs or edges, four or five, is … called tetragonal, pentagonal, &c.

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1853.  Royle, Mat. Med. (ed. 2), 641. Norway Spruce Fir. Leaves scattered, tetragonal.

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1875.  C. C. Blake, Zool., 109. The bill is elongate,… tetragonal, and acuminate.

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  † 3.  Astrol. = QUARTILE a., QUADRATE a. 2. Obs.

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1646.  Sir T. Browne, Pseud. Ep., IV. xii. 213. Reckoning on unto the seventh day, the Moone will be in a Tetragonall or Quadrate aspect, that is, 4. signes removed from that wherein the disease began.

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  4.  Her. Represented as quadrangular: see quot.

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c. 1828.  Berry, Encycl. Her., I. Gloss., Tetragonel Pyramids, piles are generally considered to represent wedges,… they are sometimes borne … square, in which latter case they may be termed square piles, or tetragonel pyramids reversed.

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1889.  Elvin, Dict. Her., Tetragonal Pyramids.

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  5.  Cryst. Applied to a system of crystallization in which the three axes are at right angles, the two lateral axes being equal, and the vertical of a different length.

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1868.  Dana, Min. (ed. 5), Introd. 21. Crystallography … systems of crystallization…. Having only the lateral equal. The Tetragonal and Hexagonal.

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1878.  Gurney, Crystallogr., 38. If four symmetral planes only intersect in the same straight line it is called an axis of tetragonal symmetry.

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1879.  Rutley, Stud. Rocks, ix. 77. Crystals belonging to the tetragonal and hexagonal systems are singly refractive when viewed in the direction of the principal crystallographic axis.

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  † B.  sb. = TETRAGON 1. Obs. rare1.

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1684.  trans. Agrippa’s Van. Arts, To Rdr. The intricate Geometrician will imprison me in his Triangles and Tetragonals.

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  Hence Tetragonally adv., in a tetragonal manner or form; Tetragonalness.

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1727.  Bailey, vol. II., Tetragonalness, the having four Corners, Squareness.

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1888.  Cassell’s Encycl. Dict., Tetragonally.

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