Аффинные типы линий второго порядка

$x^{2}+2 x y+y^{2}+y = 0$

$x^{2}+2 x y+y^{2}+x+y = 0$;

$(x+2 y)^{2}-3 y^{2} = 1$

$(2 x-y)(6 x-3 y)-3 = 0$.

$2 x^{2}+3 x y+4 y^{2}-5 x+2 y-1 = 0$;

$4 x^{2}-4 x y+y^{2}-8 x+6 y-2 = 0$;

$2 x y-4 y^{2}+6 x+6 y+1 = 0$;

$x^{2}-4 x y+y^{2}-4 x+2 y-2 = 0$

$x^{2}-2 x y+4 y^{2}+2 x-2 y-4 = 0$;

$x^{2}+4 x y+4 y^{2}-6 x-8 y = 0$;

$2 x^{2}-5 x y-12 y^{2}-x+26 y-10 = 0$;

$3 x^{2}+x y-2 y^{2}-5 x+5 y-2 = 0$;

$4 x^{2}+16 x y+15 y^{2}-8 x-22 y-5 = 0$;

$4 x^{2}-4 x y+y^{2}-6 x+3 y-4 = 0$.