Here, [d.sub.0] is the circumcenter, [l.sub.1], [l.sub.2], [l.sub.3] are three primal edges, and [d.sub.1], [d.sub.2], [d.sub.3] are three dual edges.
Meanwhile, unlike finite integration technique (FIT) [15,16], the dual mesh is constructed by connecting circumcenters instead of barycenters.
The minimum weighted distance of the circumcenter, x, from the three weighted points is a lower bound for the radius of the orthocircle.
If necessary, the ratio property can be generated by adding points at circumcenters of violating Delaunay tetrahedra.
of a triangle ([p.sub.i], [p.sub.j], [p.sub.k]) is
Let O be the circumcenter
of the base triangle so that [OC.sub.2] [perpendicular to] AB.
a "center of a circumscribed circle" or a "circumcenter
" of the given polygon.) Then a plot will be drawn of a convex solid the vertices of which are the "centers of the faces of a regular octahedron." And again, regularity of the resulting solid will have to be verified.
Double click on point D to rename it "Circumcenter
3 It is unnecessary for students to construct the circumcenter
, centroid, orthocenter, and incenter of a triangle step by step after they are familiar with these geometric objects and their construction procedures.
but also for circumcenter
, centroid, and excenter, we had similar procedure.
The objective of this example is to show that the circumcenter
of a triangle is the center of the circle circumscribed on the triangle.
Browne on his Understanding by Design geometry unit on centroids and circumcenters