Assertion: triangle's circle | /r/HasProperty | circumscribed
Facets:
Source sentences:
text: Every Heronian triangle has a rational circumradius (the radius of its circumscribed circle): For a general triangle the circumradius equals one-fourth the product of the sides divided by the area; in a Heronian triangle the sides and area are integers.
text: Each hyperbolic triangle has an inscribed circle but not every hyperbolic triangle has a circumscribed circle (see below).
text: Some hyperbolic triangles have no circumscribed circle, this is the case when at least one of its vertices is an ideal point or when all of its vertices lie on a horocycle or on a one sided hypercycle.