|
In geometry, a circular triangle is a triangle with circular arc edges. == Construction == A convex circular triangle may be constructed by three circles intersecting each other and represents the area of intersection. Its edges are all curved outwards. The sum of the internal angles of a circular triangle are greater than 180°. A reuleaux triangle is a special case as an equilateral triangle where the centers of each arcs are on the opposite vertex. A circular horn triangle is a similar concept, but represents the area interior to 3 mutually tangent circles so all of the internal angles are zero.〔(The Geometry of the Circular Horn Triangle ) Edward Kasner and Aida Kalish National Mathematics Magazine Vol. 18, No. 8 (May, 1944), pp. 299–304 〕 The arbelos is a special case with three collinear vertices and three semicircular edges.〔.〕 Other circular triangles can have a mixture of convex and concave circular arc edges. :400px Long arcs can produce concave figures regulars of whether individual edges are curved inwards or outwards. Inward curved arcs can create self-intersecting forms, such as the a triquetra figure: :400px 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Circular triangle」の詳細全文を読む スポンサード リンク
|
