Pythagoras yes

Pythagoras yes
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2020-12-24 17:36

GeoGebra Commands & Parameters

  1. Line(C, thing) → f
  2. OrthogonalLine(C, f) → g
  3. Point(g) → B
  4. Point(f) → D
  5. Segment(B, D) → h
  6. OrthogonalLine(B, g) → i
  7. Circle(C, B) → c
  8. Circle(B, C) → d
  9. Intersect(d, i, 2) → A
  10. Intersect(c, f, 1) → E
  11. Segment(A, E) → j
  12. OrthogonalLine(D, f) → k
  13. Circle(C, D) → e
  14. Circle(D, C) → p
  15. Intersect(e, g, 1) → F
  16. Intersect(p, k, 1) → G
  17. Segment(F, G) → l
  18. OrthogonalLine(B, h) → m
  19. OrthogonalLine(D, h) → n
  20. Circle(B, D) → q
  21. Circle(D, B) → r
  22. Intersect(q, m, 2) → H
  23. Intersect(r, n, 2) → I
  24. Segment(H, I) → s
  25. Segment(A, B) → t
  26. Segment(C, F) → b
  27. Segment(G, D) → f_1
  28. Segment(D, I) → g_1
  29. Segment(B, H) → h_1
  30. Segment(B, C) → i_1
  31. Segment(C, D) → j_1
  32. Polygon(A, B, C, E) → q1, a_1, b_1, c_1, e_1
  33. Polygon(B, D, I, H) → q2, b_2, d_1, i_2, h_2
  34. Polygon(C, D, G, F) → q3, c_2, d_2, g_2, f_2
  35. PointIn(q1) → Pointq1_{1}
  36. PointIn(q3) → Pointq3_{1}
  37. PointIn(q2) → Pointq2_{1}
  38. PointIn(q1) → Pointq1_{2}
  39. PointIn(q3) → Pointq3_{2}
  40. PointIn(q2) → Pointq2_{2}
  41. PointIn(q1) → Pointq1_{3}
  42. PointIn(q3) → Pointq3_{3}
  43. PointIn(q1) → Pointq1_{4}
  44. PointIn(q3) → Pointq3_{4}
  45. PointIn(q2) → Pointq2_{3}
  46. PointIn(q1) → Pointq1_{5}
  47. PointIn(q3) → Pointq3_{5}
  48. PointIn(q3) → Pointq3
  49. PointIn(q1) → Pointq1
  50. PointIn(q2) → Pointq2

AI Drawing Prompt Reference

Draw a Euclidean geometry configuration starting from a given point C. Construct a line f through C, then draw the line g through C perpendicular to f. Mark the key points B on g and D on f, and draw the segment BD. Use perpendicular constructions through B and D and set up several circle constraints: draw circles with centers C and B passing through B/C respectively, and circles centered at C and D passing through D/C respectively, plus circles centered at B and D passing through the other point. Compute intersection points to obtain A and E from the first circle pair with the corresponding perpendiculars, then get F from the circle through C and D intersecting g. Further determine H and I from intersections involving the circle through B and D and the perpendicular lines through B and D. Connect A–E, and connect the points forming segments such as F–G and H–I. Finally, form three polygonal regions using the existing points: polygon ABCE, polygon BDIH, and polygon CDGF, with the interior-point effect implied by the containment checks.
The prompt above was compiled from the original drawing commands and is for reference only.