# splitDegenerateConic: Split degenerate conic

Description Usage Arguments Value References Examples

### Description

Split a degenerate conic into two lines.

### Usage

 1 splitDegenerateConic(C) 

### Arguments

 C a (3 \times 3) matrix representation of a degenerate conic.

### Value

A (3 \times 2) matrix whose columns correspond to the homongeneous representation of two lines (real or complex).

### References

Richter-Gebert, Jürgen (2011). Perspectives on Projective Geometry - A Guided Tour Through Real and Complex Geometry, Springer, Berlin, ISBN: 978-3-642-17285-4

### Examples

  1 2 3 4 5 6 7 8 9 10 11 12 13 14  # tw0 lines g <- c(0.75,0.25,3) h <- c(0.5,-0.25,2) # a degenerate conic D <- g %*% t(h) + h %*% t(g) # split the degenerate conic into 2 lines L <- splitDegenerateConic(D) # plot plot(0,0,xlim=c(-10,5),ylim=c(-10,10),type="n") addLine(L[,1],col="red") addLine(L[,2],col="green") 

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