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circum

Determine the circumcircle of a triangle

Description

This function returns the circumcircle of a triangle.

Usage

circum(x, y)

Arguments

x

Vector of three elements, giving the x coordinatres of the triangle nodes.

y

Vector of three elements, giving the y coordinatres of the triangle nodes.

Details

This is an interface to the Fortran function CIRCUM found in TRIPACK.

Value

x

'x' coordinate of center
y

'y' coordinate of center
radius

circumcircle radius

signed.area

signed area of riangle (positive iff nodes are numbered counter clock wise)

aspect.ratio

ratio "radius of inscribed circle"/"radius of circumcircle", varies between 0 and 0.5

0 means collinear points, 0.5 equilateral trangle.

Note

This function is mainly intended to be used by circumcircle.

Author(s)

Fortran code: R. J. Renka, R code: A. Gebhardt

References

R. J. Renka (1996). Algorithm 751: TRIPACK: a constrained two-dimensional Delaunay triangulation package. ACM Transactions on Mathematical Software. 22, 1-8.

See Also

Examples

circum(c(0,1,0),c(0,0,1))
tripack

Triangulation of Irregularly Spaced Data

v1.3-9.1
ACM | file LICENSE
Authors
Fortran code by R. J. Renka. R functions by Albrecht Gebhardt <albrecht.gebhardt@aau.at>. With contributions from Stephen Eglen <stephen@anc.ed.ac.uk>, Sergei Zuyev <sergei@stams.strath.ac.uk> and Denis White <white.denis@epamail.epa.gov>
Initial release
2020-03-06

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