Net of a Cone by Sudeep Gokarakonda

GeoGebra Commands & Parameters

1. Point(xAxis) → A
2. Circle(A, r) → c
3. Intersect(c, xAxis) → B, C
4. Ellipse(E, D, C) → e
5. Intersect(xAxis, yAxis) → F
6. Vector(F, G) → u
7. Translate(B, Vector[(u * h)]) → B'_1
8. Translate(C, Vector[(u * h)]) → C'_1
9. Translate(A, Vector[(u * h)]) → A'_1
10. Translate(e, Vector[(u * h)]) → e'_1
11. Arc(e'_1, C'_1, B'_1) → p_5
12. Arc(e'_1, B'_1, C'_1) → q
13. Segment(A'_1, A) → h_6
14. Segment(A'_1, C'_1) → p
15. Angle(A, A'_1, C'_1) → α
16. Line(A, A'_1) → j
17. Intersect(e'_1, j) → H, I
18. Circle(I, r) → t
19. Intersect(t, j, 2) → K
20. Circle(K, I) → d_1
21. Intersect(d_1, j, 2) → N
22. Vector(H, N) → v
23. Translate(H, Vector[(v * n)]) → H'_1
24. Translate(D, Vector[(u * h)]) → D'
25. Translate(E, Vector[(u * h)]) → E'
26. Line(B, B'_1) → l
27. Line(C, C'_1) → m
28. Intersect(d_1, l, 1) → P
29. Intersect(d_1, m, 1) → Q
30. Vector(B'_1, P) → z
31. Vector(C'_1, Q) → u_1
32. Translate(B'_1, Vector[(z * n)]) → B''
33. Translate(C'_1, Vector[(u_1 * n)]) → C''
34. Midpoint(B'_1, A'_1) → R
35. Midpoint(B, A) → S
36. Line(R, S) → a_1
37. Intersect(q, a_1) → T,
38. Intersect(d_1, a_1, 1) → U
39. Vector(T, U) → v_1
40. Translate(T, Vector[(v_1 * n)]) → T'
41. If(n < 1, B'', P) → B_1
42. If(n < 1, T', U) → D_1
43. If(n < 1, H'_1, N) → E_1
44. If(n < 1, C'', Q) → F_1
45. Conic(B_1, D_1, E_1, F_1, I) → g_1
46. Conic(I, B_1, D_1, E_1, F_1) → h_1
47. OrthogonalLine(I, j) → l_1
48. OrthogonalLine(H, j) → b_2
49. Intersect(m, l_1) → H_2
50. Midpoint(H_2, C'_1) → I_2
51. OrthogonalLine(C'_1, m) → i_2
52. Segment(K, F_1) → m_4
53. Translate(e, Vector[(u * h)]) → e'
54. Tangent(A, e'_1) → a, b
55. Intersect(e', b) → J, G_2
56. Intersect(e', a) → L, R_2
57. Segment(A, J) → f
58. Segment(A, L) → g
59. Circle(I, sqrt(h^(2) + r^(2))) → k
60. Intersect(k, j, 1) → M
61. Circle(M, sqrt(h^(2) + r^(2))) → s
62. Segment(M, I) → i
63. Rotate(I, γ, M) → I'_1
64. Rotate(I, (-γ), M) → I'_2
65. OrthogonalLine(I'_2, i_2) → b_1
66. Intersect(b_2, b_1) → O
67. Midpoint(H, O) → V
68. Circle(V, O) → c_1
69. Vector(O, I'_2) → w
70. Center(g_1) → W
71. Segment(W, F_1) → e_1
72. Vector(H, A) → w_1
73. Translate(H, Vector[(w_1 * (n - 1))]) → H'
74. If(n < 1, H, If[n < 2, H', A]) → Z
75. Segment(H, Z) → f_1
76. Rotate(I, (-δ), M) → I'
77. Vector(L, I') → z_1
78. Translate(c_1, Vector[(w * (n - 2))]) → k_1
79. Center(k_1) → A_1
80. Intersect(k_1, j) → C_1, Q_1
81. Rotate(C_1, (180° * (n - 2)), A_1) → G_1
82. If(n < 2, H, If[n ≤ 3, G_1, I'_2]) → H_1
83. Mirror(H_1, j) → I_1
84. Translate(L, Vector[(z_1 * (n - 2))]) → L'
85. If(n < 2, L, If[n ≤ 3, L', I']) → J_1
86. Mirror(J_1, j) → K_1
87. Conic(I_1, H_1, J_1, I, K_1) → p_1
88. Vector(A, M) → i_1
89. Translate(A, Vector[(i_1 * (n - 2))]) → A'
90. If(n < 2, A, If[n ≤ 3, A', M]) → L_1
91. Tangent(L_1, p_1) → j_1, m_1
92. Intersect(p_1, m_1, 1) → M_1
93. Intersect(p_1, j_1, 1) → N_1
94. Polygon(L_1, M_1, N_1) → poly1, n_1, l_2, m_2
95. Arc(p_1, N_1, M_1) → q_1
96. Line(L_1, b_2) → r_1
97. Intersect(p_1, r_1, 1) → O_1
98. Intersect(p_1, r_1, 2) → P_1
99. Arc(p_1, P_1, O_1) → s_1
100. Polygon(L_1, O_1, I_1) → poly2, i_3, l_3, o_1
101. Polygon(L_1, H_1, P_1) → poly3, p_2, l_4, h_2
102. Arc(p_1, O_1, I_1) → t_1
103. Arc(p_1, H_1, P_1) → c_2
104. Segment(L_1, I_1) → a_2
105. Segment(L_1, H_1) → d_2
106. Arc(p_1, H_1, I_1) → e_2
107. Polygon(I_1, L_1, H_1) → poly4, h_3, i_4, l_5
108. CircleSector(M, I'_2, I'_1) → f_2
109. CircleSector(M, I'_2, I'_1) → g_2
110. Arc(p_1, H_1, I_1) → k_2
111. Segment(M_1, L_1) → j_2
112. Segment(N_1, L_1) → n_2
113. Polygon(I_1, L_1, H_1) → poly5, h_4, i_5, l_6
114. Arc(p_1, H_1, I_1) → q_2
115. Polygon(J, A, L) → poly6, l_7, j_3, a_3
116. Midpoint(g) → K_2
117. Midpoint(f_1) → L_2
118. Point(j) → M_2
119. Midpoint(I_1, A') → N_2
120. Midpoint(A', H_1) → O_2
121. Line(M_2, r_1) → p_3
122. Point(p_3) → P_2
123. Segment(I_1, H_1) → q_3
124. Intersect(k_2, q_3, 2) → S_2