单位切向量和单位法向量

GeoGebra 命令及参数

1. Vector((r_x(t), r_y(t))) → r
2. CurveCartesian(b, sin(b), b, -500, 500) → myCurve
3. Vector((x(r), y(r)), (1 / sqrt(1 + cos(t)^(2)) + x(r), cos(t) / sqrt(1 + cos(t)^(2)) + y(r))) → T
4. Point(T) → AnglePoint1
5. Vector((x(r), y(r)), (T'_x(t) / sqrt(T'_x(t)^(2) + T'_y(t)^(2)) + x(r), T'_y(t) / sqrt(T'_x(t)^(2) + T'_y(t)^(2)) + y(r))) → N
6. Point(N) → AnglePoint3
7. Point(T) → AnglePoint2
8. Angle(AnglePoint1, AnglePoint2, AnglePoint3) → α
9. Vector((x(r), y(r)), (T'_x(t) + x(r), T'_y(t) + y(r))) → T'
10. Vector((x(r), y(r)), (r''_x(t) + x(r), r''_y(t) + y(r))) → a
11. Vector((x(r), y(r)), (r'_x(t) + x(r), r'_y(t) + y(r))) → v