MathPlotAI Logo MathPlotAI

Exploring Surfaces of Revolution by Irina Boyadzhiev

Exploring Surfaces of Revolution by Irina Boyadzhiev
Loading the math board and drawing, please wait…
2018-03-03 11:43
Solid GeometryCalculus
This GeoGebra applet demonstrates surfaces of revolution obtained by rotating a curve in 3D space. Key mathematical concepts include rotation, surfaces, and integral calculus. Using commands like Point, CircleSector, Circle, and OrthogonalLine, complex geometric shapes can be constructed. Suitable for high school and above students or teachers for teaching and learning.

GeoGebra Commands & Parameters

  1. Point(zAxis) → C
  2. CircleSector(O, C, XYZ, xOyPlane) → p
  3. Circle(zAxis, A) → q
  4. OrthogonalLine(XYZ, xOyPlane) → g
  5. Intersect(g, xOyPlane) → D
  6. Ray(O, D) → ii
  7. Intersect(ii, q) → G,
  8. Line(O, M) → f
  9. Point(yAxis) → B
  10. Angle(C, O, M) → φ
  11. Angle(A, O, D) → θ
  12. CircleSector(O, G, A) → ee
  13. AngularBisector(A, O, D) → j
  14. AngularBisector(C, O, M) → m
  15. Intersect(m, p) → E,
  16. Intersect(j, ee) → F,
  17. OrthogonalLine(G, ii, xOyPlane) → n
  18. OrthogonalLine(G, xOyPlane) → r
  19. Intersect(r, f) → H
  20. Segment(H, G) → h
  21. CurveCartesian(xx(t), yy(t), t, tmin, tmax) → o
  22. Textfield(xx) → InputBox1
  23. Textfield(yy) → InputBox2
  24. Surface(o, k, f) → c
  25. Textfield(tmin) → InputBox3
  26. Textfield(tmax) → InputBox4
  27. Rotate(o, k, f) → o'