Найдите первую квадратичную форму поверхности из § 10

Уравнение поверхности
rt, v=t-18t3v-4tvi+t2+2v-18t4vj+t3+12t3v+6tvk.
Параметрические уравнения
x=t-18t3v-4tv, y=t2+2v-18t4v, z=t3+12t3v+6tv, t, v∈R.
xt'=1-54t2v-4v,yt'=2t-72t3v,zt'=3t2+36t2v+6v;
xv'=-18t3-4t,yv'=2-18t4,zv'=12t3+6t.
Et, v=rt'2=xt'2+yt'2+zt'2=1+4t2+9t4-8v-72t2v-72t4v+52v2+864t2v2+4212t4v2+5184t6v2;
Ft, v=rt'∙rv'=xt'∙xv'+yt'∙yv'+zt'∙zv'=-18t3+9t4-36t5+16tv+36t2v+144t3v+216t4v+972t5v+1296t7v+36v2+432t2v2+1296t4v2;
Gt, v=rv'2=xv'2+yv'2+zv'2=4+52t2+216t4+468t6+324t8.
ds2=Et, vdt2+2Et, vdtdv+Gt, vdv2.