general triangle

There are infinitely many general triangle group families (p q r).

Furthermore, a cross-section of the tooth at the cervical line would show a general triangle appearance.

Some islands of Polynesian origin are outside the general triangle that geographically defines the region.

Given a general triangle the following conditions would need to be fulfilled for the case to be ambiguous:

The nine-point circle of the general triangle has an analogue in the circumsphere of a tetrahedron's medial tetrahedron.

The law of sines is one of two trigonometric equations commonly applied to find lengths and angles in a general triangle, with the other being the law of cosines.

There are two Schwarz triangles that generate unique nonconvex uniform polyhedra: one right triangle (3/2 3 2), and one general triangle (3/2 3 3).

At any selected angle of a general triangle of sides a, b, c, inscribe an isosceles triangle such that the equal angles at its base θ are the same as the selected angle.

In Euclidean geometry, for right triangles it is a consequence of the Pythagorean theorem, and for general triangles a consequence of the law of cosines, although it may be proven without these theorems.

The result can be proved by a combination of Stokes's theorem and Cartan's structural equations and can in turn be used to obtain a generalisation of Gauss's theorem on geodesics triangles to more general triangles.

According to Glen Van Brummelen, "The Law of Sines is really Regiomontanus's foundation for his solutions of right-angled triangles in Book IV, and these solutions are in turn the bases for his solutions of general triangles."