circumcircle


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circumcircle

[′sər·kəm‚sər·kəl]
(mathematics)
A circle that passes through all the vertices of a given polygon, if such a circle exists.
References in periodicals archive ?
An aggregate placement process is complete when the circumcircle of the aggregate is placed into the designated area.
In iREC, each grouping of genes is treated as an individual, in which the integers [X.sub.c] and [Y.sub.c] denote the center of the circumcircle of the stroke, while the floating numbers R and [theta] define the radius and the skewness of the circumcircle of the stroke.
2 will be presented with mechanical average of scale--3.5 -a thick black polygon; SMOP_R (radius of the circumcircle)--a red circle.
The circumcircle of a triangle is the unique circle that passes through all three of its vertices.
The edges of the Delaunay diagram can be characterized by the property: there is a Delaunay edge through two points if and only if there is not any other point being contained in E, and the property of Delaunay diagram guarantees that there is no other point belonging to X included in any circumcircle of triangle.
In any triangle ABC we shall denote by [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] the radius of circumcircle and r the radius of incircle.
This last author discussed systematically the corresponding three quartic equations, obtained a unique equation of degree 16 for the radius of the circumcircle by elimination and squaring, but did not conclude about the possibility of constructing by ruler and compass.
Let S' be the set of points in convex position obtained from S by moving each interior point in S to the circumcircle of the h-gon, as indicated in Figure 6 (right).
Constructing the circumcircle {15} provides a good check on the accuracy of the model.
Having attained a solution through the rote application of a standard proof technique (and the aid of technology to handle the details), one can recover some geometric insight by drawing the circumcircle of CDE (Figure 5).
1) All the triangles whose circumcircle encloses to point to be added are identified; the outside edges of those triangles form an enclosing polygon.
The average volatility is represented by a third of the circumference of the circumcircle of the triangle.