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1828 Definition

TRI'ANGLE, n. [L. triangulum; tres, tria, three, and angulus, a corner.] In geometry, a figure bounded by three lines, and containing three angles. The three angles of a triangle are equal to two right angles, or the number of degrees in a semicircle.

If the three lines or sides of a triangle are all right, it is a plane or rectilinear triangle.

If all the three sides are equal, it is an equilateral triangle.

If two of the sides only are equal, it is an isosceles or equicrural triangle.

If all the three sides are unequal, it is a scalene or scalenous triangle.

If one of the angles is a right angle, the triangle is rectangular.

If one of the angles is obtuse, the triangle is called obtusangular or amblygonous.

If all the angles are acute, the triangle is acutangular or oxygonous.

If the three lines of a triangle are all curves, the triangle is said to be curvilinear.

If some of the sides are right and others curve, the triangle is said to be mixtilinear.

If the sides are all arcs of great circles of the sphere, the triangle is said to be spherical.
1913 Definition
Triangle (triangle)
n.(?)
Tri"an`gle
[L. triangulum, fr. triangulus triangular; tri- (see Tri-) + angulus angle: cf. F. triangle. See Angle a corner.]
  1. A figure bounded by three lines, and containing three angles.

    * A triangle is either plane, spherical, or curvilinear, according as its sides are straight lines, or arcs of great circles of a sphere, or any curved lines whatever. A plane triangle is designated as scalene, isosceles, or equilateral, according as it has no two sides equal, two sides equal, or all sides equal; and also as right-angled, or oblique-angled, according as it has one right angle, or none; and oblique-angled triangle is either acute-angled, or obtuse-angled, according as all the angles are acute, or one of them obtuse. The terms scalene, isosceles, equilateral, right-angled, acute- angled, and obtuse-angled, are applied to spherical triangles in the same sense as to plane triangles.

  2. An instrument of percussion, usually made of a rod of steel, bent into the form of a triangle, open at one angle, and sounded by being struck with a small metallic rod.
  3. A draughtsman's square in the form of a right- angled triangle.
  4. A kind of frame formed of three poles stuck in the ground and united at the top, to which soldiers were bound when undergoing corporal punishment, -- now disused.
  5. A small constellation situated between Aries and Andromeda.
    (b)

1828 dictionary
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