MathPlotAI Logo MathPlotAI

Incircle & Polygon Parameter Demo

Incircle & Polygon Parameter Demo
Loading the math board and drawing, please wait…
2017-07-11 17:59
CirclePolygonTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the dynamic construction of a triangle's incircle and related geometric elements using parameters. It involves core concepts like incircle, perimeter, median line, fractal geometry, and scatter plot. GeoGebra commands and objects such as If, Line, Point, OrthogonalLine, Intersect, Textfield, Polygon, Segment, and TableText are used in the construction. Suitable for high school and above mathematics education for geometric construction and parametric demonstrations.

GeoGebra Commands & Parameters

  1. If(l_2j > 30, 30, l_2j) → l_3j
  2. If(lj < 0, 0, lj) → l_1j
  3. If(l_1kate > 30, 30, l_1kate) → l_3
  4. If(lkate < 0, 0, lkate) → l_2
  5. Line(C, xAxis) → i
  6. Line(D, i) → j
  7. Point(i) → E
  8. OrthogonalLine(E, i) → k
  9. Intersect(j, k) → F
  10. Textfield(b) → InputBox1
  11. Point(i) → H
  12. OrthogonalLine(H, i) → l
  13. Point(l) → I
  14. OrthogonalLine(I, l) → q
  15. Point(l) → J
  16. OrthogonalLine(J, l) → r
  17. Point(q) → L
  18. OrthogonalLine(L, q) → s
  19. Intersect(s, r) → M
  20. Polygon(I, L, M, J) → poly1, i_1, l_1, m_1, j_1
  21. Intersect(i, l_1) → N
  22. Intersect(j, l_1) → O
  23. Intersect(j_1, j) → P
  24. Segment(H, N) → t_1
  25. Segment(P, O) → c
  26. Intersect(d, i_1) → Q
  27. Intersect(m_1, d) → R
  28. Segment(Q, R) → e
  29. Textfield(t) → InputBox4
  30. Textfield(a) → InputBox5
  31. Textfield(a_1) → InputBox6
  32. Textfield(text2) → InputBox2
  33. Textfield(text3) → InputBox3
  34. Polygon({(0, 0), (30, 0), (30, 150), (0, 150)}) → poly2
  35. Textfield(n_1) → InputBox7
  36. TableText({{A1, B1, C1}, {0, f(0), h(0)}, {1, f(1), h(1)}, {2, f(2), h(2)}, {3, f(3), h(3)}, {4, f(4), h(4)}, {5, f(5), h(5)}, {n_1, f(n_1), h(n_1)}}, "|_r") → text7

AI Drawing Prompt Reference

Draw a triangle's incircle and related geometric elements dynamically. Start by plotting the coordinate axes, then generate a triangle based on parameters. Find the incenter and tangent points to draw the incircle and other sides of the triangle. Also, display the triangle's perimeter, median lines, fractal geometry, and scatter plot, with labeled text information.
The prompt above was compiled from the original drawing commands and is for reference only.