id: 05769027
dt: j
an: 2010d.00463
au: Broyles, Chris; Müller, Lars; Tikoo, Mohan; Wang, Haohao
ti: Two approaches of studying singularity of projective conics.
so: Int. J. Math. Educ. Sci. Technol. 41, No. 5, 699-706 (2010).
py: 2010
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: H75 H65 G75
ut: conics; singularity; $μ$-basis; parametric equations; implicit equations;
resultant
ci:
li: doi:10.1080/00207391003605247
ab: Summary: The singularity of a projective conic can be determined via the
associated matrix to the implicit equation of the projective conic. In
this expository article, we will first derive a known result for
determining the singularity of a projective conic via the associated
matrix. Then we will introduce the concepts of $μ$-basis of the
parametric projective conics, and close with the same criteria via
$μ$-basis method.
rv: