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gap> conic := ParabolicQuadric(2,13);
Q(2, 13)
gap> p := VectorSpaceToElement(PG(2,13),[1,0,0]*Z(13)^0);
<a point in ProjectiveSpace(2, 13)>
gap> pole := Pole(conic,p);
<a line in ProjectiveSpace(2, 13)>
gap> TypeOfSubspace(conic,pole);
"hyperbolic"
gap> tangent_points := Filtered(Points(pole),x->x in conic);
[ <a point in ProjectiveSpace(2, 13)>, <a point in ProjectiveSpace(2, 13)> ]
gap> tangent_lines_on_p := List(tangent_points,x->Span(x,p));
[ <a line in ProjectiveSpace(2, 13)>, <a line in ProjectiveSpace(2, 13)> ]
gap> List(tangent_lines_on_p,x->Number(Points(x),y->y in conic));
[ 1, 1 ]
[ Dauer der Verarbeitung: 0.16 Sekunden
(vorverarbeitet)
]
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