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Extension of Apastamba Sulbasutra I. 4

Extension of Apastamba Sulbasutra I. 4
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2019-03-13 21:31
PolygonAngleGeometric Construction
This example demonstrates the geometric meaning of Apastamba Sulbasutra I. 4, involving geometric constructions such as intersection, orthogonal line, polygon, segment, point, angle, and semicircle. Suitable for middle school and above students to learn basic geometric concepts and constructions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. OrthogonalLine(B, xAxis) → f
  3. OrthogonalLine(B, yAxis) → g
  4. Intersect(g, yAxis) → C
  5. Intersect(f, xAxis) → D
  6. Polygon(A, D, B, C) → q1, a, d, b, c
  7. Segment(C, D) → h
  8. Polygon(D, A, n) → poly1, i, d_1, g_2, j_2, E, H, K, N, Q, T, W, j, B_1, E_1, H_1, k, t, h_1, k_1, n_1, r_1, a_1
  9. Polygon(A, C, n) → poly2, l, e_1, h_2, k_2, F, I, L, O, R, U, Z, m, C_1, F_1, I_1, p, f_1, i_1, l_1, p_1, s_1, b_1
  10. Polygon(C, D, n) → poly3, q, f_2, i_2, l_2, G, J, M, P, S, V, A_1, r, D_1, G_1, J_1, s, g_1, j_1, m_1, q_1, t_1, c_1
  11. PointIn(poly2) → Pointpoly2
  12. PointIn(poly1) → Pointpoly1
  13. PointIn(poly3) → Pointpoly3
  14. Angle(D, A, C) → α
  15. Semicircle(D, A) → c_2
  16. Semicircle(A, C) → d_2
  17. Semicircle(C, D) → e_2
  18. Segment(C, A) → m_2
  19. Segment(A, D) → n_2
  20. Segment(D, C) → p_2
  21. Segment(C, B) → q_2
  22. Segment(B, D) → r_2

AI Drawing Prompt Reference

Draw a rectangle ABCD with point A on the x-axis and point B on the y-axis, with points C and D on the vertical lines of the x-axis and y-axis, respectively. Then, draw semicircles with diameters DA, AC, and CD. Next, connect points C and A, A and D, D and C, C and B, and B and D. Finally, construct points P inside polygon 2, Q inside polygon 1, and R inside polygon 3, and measure angle DAB.
The prompt above was compiled from the original drawing commands and is for reference only.