普吕克圆锥

GeoGebra 命令及参数

1. Surface(u, v, (a * (u^(2) - v^(2)) / (u^(2) + v^(2))), u, (-U), U, v, (-V), V) → plucker
2. Surface(b + ((u * sqrt(b^(2) + c^(2))) * cos(v)), c + ((u * sqrt(b^(2) + c^(2))) * sin(v)), (a * ((b + ((u * sqrt(b^(2) + c^(2))) * cos(v)))^(2) - (c + ((u * sqrt(b^(2) + c^(2))) * sin(v)))^(2)) / ((b + ((u * sqrt(b^(2) + c^(2))) * cos(v)))^(2) + (c + ((u * sqrt(b^(2) + c^(2))) * sin(v)))^(2))) + h1 + h2, u, 0, 1, v, (-V), V) → plucker3
3. CurveCartesian(b + (sqrt(b^(2) + c^(2)) * cos(t)), c + (sqrt(b^(2) + c^(2)) * sin(t)), ((-a) * ((c * (c + (sqrt(b^(2) + c^(2)) * sin(t)))) - (b * (b + (sqrt(b^(2) + c^(2)) * cos(t)))) + b^(2) - c^(2)) / (b^(2) + c^(2))) + h1 + h2, t, (-π), π) → d
4. Surface(b + (sqrt(b^(2) + c^(2)) * cos(u)), c + (sqrt(b^(2) + c^(2)) * sin(u)), ((-a) * ((c * (c + (sqrt(b^(2) + c^(2)) * sin(u)))) - (b * (b + (sqrt(b^(2) + c^(2)) * cos(u)))) + b^(2) - c^(2)) / (b^(2) + c^(2))) - v + h1, u, (-π), π, v, 0, 10) → e
5. Surface((u * cos(v)), (u * sin(v)), (a * cos((2 * v))), u, 0, U, v, (-V), V) → plucker2