a. Also 6–7 equilaterall, (7 æqui-). [ad. late L. æquilaterālis, f. æqui- (see EQUI-) + latus, later-is side + -AL.]

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  Having all the sides equal.

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  Equilateral arch: an arch, in which the chords of the sides form with the base an equilateral triangle. Equilateral hyperbola, one whose axes are equal. Equilateral shell, one in which a transverse line drawn through the apex of the umbo divides the valve into two equal and symmetrical parts.

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1570.  Billingsley, Euclid, I. i. 10. How to describe an equilaterall triangle redily and mechanically.

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1634.  Sir T. Herbert, Trav., 112. The Sepulchre of Maleck Bahamans beloued Queene … tis of foure Æquilaterall squares, eleuated eight yards high of stone.

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1727.  Swift, Gulliver, II. III. ii. 20. A Shoulder of Mutton, cut into an Æquilateral Triangle.

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1824.  Scott, St. Ronan’s, xv. A cocked hat of equilateral dimensions.

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1848.  Rickman, Archit., 88. The principal moulding of these doors has generally an equilateral arch.

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1851.  Richardson, Geol., viii. 232. The shell is consequently equilateral.

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1869.  Dunkin, Midn. Sky, 21. Denebola, Arcturus and Spica form very nearly an equilateral triangle.

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1880.  C. Taylor, Anc. & Mod. Geom. Conics, vi. 167. The Equilateral Hyperbola is … also called Rectangular.

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1885.  Leudesdorf, Cremona’s Proj. Geom., 269. If the hyperbola is equilateral … the asymptotes are the only pair of tangents which cut at right angles.

12

  Hence Equilaterally adv., in an equilateral manner or form; Equilateralness.

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1853.  Dana, Crust., II. 704. The posterior [epimeral] equilaterally triangular.

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1896.  H. Holman, Educ., vi. 303. It is an idea which involves the ideas of rectilinealness, quadrilateralness, equilateralness, and equiangularity.

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