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spherical triangle

noun

, Geometry.
  1. a triangle formed by arcs of great circles of a sphere.


spherical triangle

noun

  1. a closed geometric figure formed on the surface of a sphere that is bounded by arcs of three great circles
“Collins English Dictionary — Complete & Unabridged” 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word History and Origins

Origin of spherical triangle1

First recorded in 1575–85
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Example Sentences

Spending long nights in antiaircraft positions watching the skies, he imagined spherical triangles drawn across the sky and worked out their geometry.

Containing or having two right angles; as, a birectangular spherical triangle.

Thus we might have a spherical triangle that is concave, with its base 359°, and its other two sides each 90°, the sum of the sides being 539°.

The sum of the interior angles of a spherical triangle is always greater than two right angles, and increases with the area.

The clerestory windows are spherical triangles enclosing three circles with quatrefoil cusps; the form of these windows is somewhat rare, but similar windows are to be seen at Westminster, Hereford, Carlisle, and York.

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