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Basic Geometric and Analytical Geometry Construction

Basic Geometric and Analytical Geometry Construction
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2020-04-30 14:20
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates geometric constructions involving rectangles, circles, and polygons, incorporating concepts like logarithms, irregular shapes, and derivatives. The construction uses GeoGebra commands such as Intersect, Point, Polygon, and Prism, along with objects like rectangles, circles, and line segments. It is suitable for middle or high school mathematics education to understand fundamental principles of geometry and analytical geometry.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, yAxis) → B
  2. Point(xAxis) → C
  3. Point(yAxis) → D
  4. Polygon(B, C, A, D) → vierhoek1, b, c, a, d
  5. Prism(vierhoek1, 2) → e, E, RibbeBE, RibbeCF, RibbeAG, RibbeDH, RibbeEF, RibbeFG, RibbeGH, RibbeEH, F, G, H, zijvlakBCFE, zijvlakACFG, zijvlakADHG, zijvlakBDHE, zijvlakEFGH
  6. Point(zAxis) → I
  7. Line(M, N) → f
  8. CircleArc(M, J, L) → g
  9. Line(M, I) → h
  10. Segment(J, F) → i
  11. Segment(L, K) → j
  12. Segment(B, K) → k
  13. Point({k, RibbeEF, RibbeBE, i, j, g}) → P
  14. Locus(PP, P) → mp1
  15. CircleArc(M, O, J) → p
  16. Segment(O, Q) → l
  17. Segment(Q, A) → m
  18. Vector(D, A) → u
  19. Vector(D, B) → v
  20. Vector(A, C) → w
  21. Vector(B, C) → q
  22. Prism(vierhoek1, 1) → o, R, RibbeBR, RibbeCS, RibbeAT, RibbeDU, RibbeRS, RibbeST, RibbeTU, RibbeRU, S, T, U, zijvlakBCSR, zijvlakACST, zijvlakADUT, zijvlakBDUR, zijvlakRSTU
  23. Translate(o, vv) → o'
  24. Segment(H, D) → r
  25. Translate(vierhoek1, Vector[(2 * vv)]) → vierhoek1'
  26. Point(gg) → V
  27. Vector(V, J) → s
  28. Point(pp) → W
  29. Vector(W, J) → t
  30. Vector(B, C) → u_1
  31. Vector(A, C) → v_1

AI Drawing Prompt Reference

First, draw a rectangle. Then, add a circular arc inside the rectangle. Next, draw a line segment connecting a vertex of the rectangle to an endpoint of the arc. After that, create a point determined by multiple elements. Finally, draw a locus defined by the point and a line segment. The overall figure includes a rectangle, a circular arc, line segments, and a locus, with a construction order starting from the rectangle and gradually adding other elements.
The prompt above was compiled from the original drawing commands and is for reference only.