Degenerate triangle information

Degenerate triangle or degenerate triangles may refer to: Degeneracy (mathematics)#Triangle, a triangle with collinear vertices and zero area in mathematics...

length of the remaining side. This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry...

of the other sides. A triangle with an interior angle of 180° (and collinear vertices) is degenerate. A right degenerate triangle has collinear vertices...

interpreted as triangles ABC CBD CDD DDF DFF FFE FED DEC (degenerate triangles marked with italics). Notice how this strip first builds two triangles from the...

have three points that define a non-degenerate triangle in a plane, or four points that define a non-degenerate tetrahedron in 3-dimensional space, or...

(n−1)-space. For a triangle the circumcentre is a point equidistant from each of the three vertices. Every non-degenerate triangle has such a point. This...

(except the given vertex and the two adjacent vertices). Every non-degenerate triangle is strictly convex. Convex curve – Type of plane curve Concave polygon –...

In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example,...

equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular;...

infinite family of dihedral Schwarz triangles, can form almost all of the non-degenerate uniform polyhedra. Many degenerate uniform polyhedra, with completely...

statement to make segments congruent. A line segment can be viewed as a degenerate case of an ellipse, in which the semiminor axis goes to zero, the foci...

triangle center A'. All central triangles of both Type 1 and Type 2 relative to an equilateral triangle degenerate to a point. The excentral triangle...

to the side length of the triangle. Thus, when the radius is small enough, these sets degenerate to the equilateral triangle itself, but when the radius...

considered as forming a degenerate triangle whose area is defined to be zero, so placements that maximize the smallest triangle will not have collinear...

hull into triangles whose circumcircles do not contain any of the points. This maximizes the size of the smallest angle in any of the triangles, and tends...

alternating band of 2n triangles. They are represented by the Conway notation An. Antiprisms are a subclass of prismatoids, and are a (degenerate) type of snub...

: p. 259  approached asymptotically as certain classes of triangles approach the degenerate case of zero area. The left inequality, which holds for all...

dodecahedron. Continuing from there in that direction, we pass through a degenerate case where twelve vertices coincide in the centre, and on to the regular...

5-wound triangle, <15/5> Regular, degenerate, r6 Irregular, a1 36° internal angles from an equiangular triple-wound pentagram, <15/6> Regular, degenerate, r10...

them. Degenerate triangles Zero area triangle primitives placed in a triangle strip between actual primitives, to allow many parts of a triangle mesh to...

three interior angles of such a triangle reaches zero. Below that area, the curve degenerates to a circular triangle with "antennae", straight segments...

line through the midpoint of a parallelogram bisects the area. Any non-degenerate affine transformation takes a parallelogram to another parallelogram....

triangles". The Mathematical Gazette. 66 (436): 145–147. Farin, G.; Piper, B.; Worsey, Andrew J. (1987). "The octant of a sphere as a non-degenerate triangular...