geodesic triangle

geodesic triangle

[¦jē·ə¦des·ik ′trī‚aŋ·gəl]
(mathematics)
The figure formed by three geodesics joining three points on a given surface.
References in periodicals archive ?
A geodesic metric space is called hyperbolic (in the Gromov sense) if there exists an upper bound of the distance of every point in a side of any geodesic triangle to the union of the two other sides (see Definition 2.
We would like to point out that deciding whether or not a space is hyperbolic is usually extraordinarily difficult: Notice that, first of all, we have to consider an arbitrary geodesic triangle T, and calculate the minimum distance from an arbitrary point P of T to the union of the other two sides of the triangle to which P does not belong to.
We consider now a geodesic triangle T in X, a point p [member of] T and 0 < [member of] < 1/2.