Numeric and Geometric Construction
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This example demonstrates how to use GeoGebra to construct geometric figures including circles, ellipses, parabolas, and explores their relationship with normal distribution and random variables. Core mathematical concepts involve normal distribution, random variables, ellipses, parabolas, continuity, vectors, angles, rotations, and more. Construction highlights from the summary include commands like Intersect, Point, Circle, Ray, Segment, OrthogonalLine, Rotate, Angle, Line, Vector, and CircleSector. Suitable for high school and above learners to understand the integration of geometric construction and probability & statistics.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → APoint(xAxis) → BCircle(A, B) → cPoint(c) → CRay(A, C) → gSegment(A, C) → hPoint(c) → DSegment(A, D) → iOrthogonalLine(A, i) → kIntersect(c, k, 2) → FIntersect(c, k, 1) → GSegment(F, G) → lIntersect(c, l, 1) → IIntersect(c, i, 1) → JIntersect(c, l, 2) → LOrthogonalLine(A, l) → fRotate(F, 30°, A) → F'Angle(F, A, F') → αLine(F', A) → jRotate(F', 30°, A) → F''Angle(F', A, F'') → βLine(F'', A) → mRotate(F, 10°, A) → F'_{1}Angle(F, A, F'_{1}) → γRotate(F'_{1}, 10°, A) → EAngle(F'_{1}, A, E) → δRotate(F', 10°, A) → F''_{1}Angle(F', A, F''_{1}) → εRotate(F''_{1}, 10°, A) → HAngle(F''_{1}, A, H) → ζRotate(F'', 10°, A) → F'''Angle(F'', A, F''') → ηRotate(F''', 10°, A) → KAngle(F''', A, K) → θLine(F'_{1}, A) → nLine(E, A) → pLine(F''_{1}, A) → qLine(H, A) → rLine(F''', A) → sLine(K, A) → tRotate(F, 1°, A) → F'_{2}Angle(F, A, F'_{2}) → ιLine(A, F'_{2}) → aRotate(F'_{2}, 1°, A) → MAngle(F'_{2}, A, M) → κRotate(M, 1°, A) → M'Angle(M, A, M') → λRotate(M', 1°, A) → M''Angle(M', A, M'') → μRotate(M'', 1°, A) → M'''Angle(M'', A, M''') → νRotate(M''', 1°, A) → NAngle(M''', A, N) → ξRotate(N, 1°, A) → N'Angle(N, A, N') → οRotate(N', 1°, A) → N''Angle(N', A, N'') → ρRotate(N'', 1°, A) → N'''Angle(N'', A, N''') → σRotate(F'_{1}, 1°, A) → OAngle(F'_{1}, A, O) → τRotate(O, 1°, A) → O'Angle(O, A, O') → υRotate(O', 1°, A) → O''Angle(O', A, O'') → ϕRotate(O'', 1°, A) → O'''Angle(O'', A, O''') → χRotate(O''', 1°, A) → PAngle(O''', A, P) → ψRotate(P, 1°, A) → P'Angle(P, A, P') → ωRotate(P', 1°, A) → P''Angle(P', A, P'') → α_1Rotate(P'', 1°, A) → P'''Angle(P'', A, P''') → β_1Rotate(P''', 1°, A) → QAngle(P''', A, Q) → γ_1Rotate(E, 1°, A) → E'Angle(E, A, E') → δ_1Rotate(E', 1°, A) → E''Angle(E', A, E'') → ε_1Rotate(E'', 1°, A) → E'''Angle(E'', A, E''') → ζ_1Rotate(E''', 1°, A) → RAngle(E''', A, R) → η_1Rotate(R, 1°, A) → R'Angle(R, A, R') → θ_1Rotate(R', 1°, A) → R''Angle(R', A, R'') → ι_1Rotate(R'', 1°, A) → R'''Angle(R'', A, R''') → κ_1Rotate(R''', 1°, A) → SAngle(R''', A, S) → λ_1Rotate(S, 1°, A) → S'Angle(S, A, S') → μ_1Rotate(F', 1°, A) → F''_{2}Angle(F', A, F''_{2}) → ν_1Rotate(F''_{2}, 1°, A) → TAngle(F''_{2}, A, T) → ξ_1Rotate(T, 1°, A) → T'Angle(T, A, T') → ο_1Rotate(T', 1°, A) → T''Angle(T', A, T'') → ρ_1Rotate(T'', 1°, A) → T'''Angle(T'', A, T''') → σ_1Rotate(T''', 1°, A) → UAngle(T''', A, U) → τ_1Rotate(U, 1°, A) → U'Angle(U, A, U') → υ_1Rotate(U', 1°, A) → U''Angle(U', A, U'') → ϕ_1Rotate(U'', 1°, A) → U'''Angle(U'', A, U''') → χ_1Rotate(F''_{1}, 1°, A) → VAngle(F''_{1}, A, V) → ψ_1Rotate(V, 1°, A) → V'Angle(V, A, V') → ω_1Rotate(V', 1°, A) → V''Angle(V', A, V'') → α_2Rotate(V'', 1°, A) → V'''Angle(V'', A, V''') → β_2Rotate(V''', 1°, A) → WAngle(V''', A, W) → γ_2Rotate(W, 1°, A) → W'Angle(W, A, W') → δ_2Rotate(W', 1°, A) → W''Angle(W', A, W'') → ε_2Rotate(W'', 1°, A) → W'''Angle(W'', A, W''') → ζ_2Rotate(W''', 1°, A) → ZAngle(W''', A, Z) → η_2Angle(D, A, C) → θ_2Rotate(H, 1°, A) → H'Angle(H, A, H') → ι_2Rotate(H', 1°, A) → H''Angle(H', A, H'') → κ_2Rotate(H'', 1°, A) → H'''Angle(H'', A, H''') → λ_2Rotate(H''', 1°, A) → A_1Angle(H''', A, A_1) → μ_2Rotate(A_1, 1°, A) → B_1Angle(A_1, A, B_1) → ν_2Rotate(B_1, 1°, A) → C_1Angle(B_1, A, C_1) → ξ_2Rotate(C_1, 1°, A) → D_1Angle(C_1, A, D_1) → ο_2Rotate(D_1, 1°, A) → E_1Angle(D_1, A, E_1) → ρ_2Rotate(E_1, 1°, A) → F_1Angle(E_1, A, F_1) → σ_2Rotate(F'', 1°, A) → F'''_{1}Angle(F'', A, F'''_{1}) → τ_2Rotate(F'''_{1}, 1°, A) → G_1Angle(F'''_{1}, A, G_1) → υ_2Rotate(G_1, 1°, A) → H_1Angle(G_1, A, H_1) → ϕ_2Rotate(H_1, 1°, A) → I_1Angle(H_1, A, I_1) → χ_2Rotate(I_1, 1°, A) → J_1Angle(I_1, A, J_1) → ψ_2Rotate(J_1, 1°, A) → K_1Angle(J_1, A, K_1) → ω_2Rotate(K_1, 1°, A) → L_1Angle(K_1, A, L_1) → α_3Rotate(L_1, 1°, A) → M_1Angle(L_1, A, M_1) → β_3Rotate(M_1, 1°, A) → N_1Angle(M_1, A, N_1) → γ_3Rotate(F''', 1°, A) → O_1Angle(F''', A, O_1) → δ_3Rotate(O_1, 1°, A) → P_1Angle(O_1, A, P_1) → ε_3Rotate(P_1, 1°, A) → Q_1Angle(P_1, A, Q_1) → ζ_3Rotate(Q_1, 1°, A) → R_1Angle(Q_1, A, R_1) → η_3Rotate(R_1, 1°, A) → S_1Angle(R_1, A, S_1) → θ_3Rotate(S_1, 1°, A) → T_1Angle(S_1, A, T_1) → ι_3Rotate(T_1, 1°, A) → U_1Angle(T_1, A, U_1) → κ_3Rotate(U_1, 1°, A) → V_1Angle(U_1, A, V_1) → λ_3Rotate(V_1, 1°, A) → W_1Angle(V_1, A, W_1) → μ_3Rotate(K, 1°, A) → K'Angle(K, A, K') → ν_3Rotate(K', 1°, A) → K''Angle(K', A, K'') → ξ_3Rotate(K'', 1°, A) → K'''Angle(K'', A, K''') → ο_3Rotate(K''', 1°, A) → Z_1Angle(K''', A, Z_1) → ρ_3Rotate(Z_1, 1°, A) → A_2Angle(Z_1, A, A_2) → σ_3Rotate(A_2, 1°, A) → B_2Angle(A_2, A, B_2) → τ_3Rotate(B_2, 1°, A) → C_2Angle(B_2, A, C_2) → υ_3Rotate(C_2, 1°, A) → D_2Angle(C_2, A, D_2) → ϕ_3Rotate(D_2, 1°, A) → E_2Angle(D_2, A, E_2) → χ_3Rotate(E_2, 1°, A) → F_2Angle(E_2, A, F_2) → ψ_3Line(M, A) → dLine(M'', A) → eLine(M', A) → f_1Line(M''', A) → g_1Line(N, A) → h_1Line(N', A) → i_1Line(N'', A) → j_1Line(O', A) → k_1Line(N''', A) → l_1Line(O, A) → m_1Line(O'', A) → n_1Line(O''', A) → p_1Line(P, A) → q_1Line(P', A) → r_1Line(P'', A) → s_1Line(P''', A) → t_1Line(Q, A) → a_1Line(E', A) → b_1Line(E'', A) → c_1Line(E''', A) → d_1Line(R, A) → e_1Line(R', A) → f_2Line(R'', A) → g_2Line(R''', A) → h_2Line(S, A) → i_2Line(S', A) → j_2Line(F''_{2}, A) → k_2Line(T', A) → l_2Line(T, A) → m_2Line(T'', A) → n_2Line(T''', A) → p_2Line(U, A) → q_2Line(U', A) → r_2Line(U'', A) → s_2Line(U''', A) → t_2Line(V, A) → a_2Line(V', A) → b_2Line(V'', A) → c_2Line(V''', A) → d_2Line(W, A) → e_2Line(W', A) → f_3Line(W'', A) → g_3Line(W''', A) → h_3Line(Z, A) → i_3Line(H', A) → j_3Line(H'', A) → k_3Line(H''', A) → l_3Line(A_1, A) → m_3Line(B_1, A) → n_3Line(C_1, A) → p_3Line(D_1, A) → q_3Line(E_1, A) → r_3Line(F_1, A) → s_3Line(F'''_{1}, A) → t_3Line(G_1, A) → a_3Line(H_1, A) → b_3Line(I_1, A) → c_3Line(J_1, A) → d_3Line(K_1, A) → e_3Line(L_1, A) → f_4Line(M_1, A) → g_4Line(N_1, A) → h_4Line(O_1, A) → i_4Line(P_1, A) → j_4Line(Q_1, A) → k_4Line(R_1, A) → l_4Line(S_1, A) → m_4Line(T_1, A) → n_4Line(U_1, A) → p_4Line(V_1, A) → q_4Line(W_1, A) → r_4Line(K', A) → s_4Line(K'', A) → t_4Line(K''', A) → a_4Line(Z_1, A) → b_4Line(A_2, A) → c_4Line(B_2, A) → d_4Line(C_2, A) → e_4Line(D_2, A) → f_5Line(E_2, A) → g_5Rotate(F, (-(30°)), A) → F'_{3}Angle(F'_{3}, A, F) → ω_3Rotate(F'_{3}, (-(30°)), A) → G_2Angle(G_2, A, F'_{3}) → α_4Rotate(F, (-(10°)), A) → F'_{4}Angle(F'_{4}, A, F) → β_4Rotate(F'_{4}, (-(10°)), A) → H_2Angle(H_2, A, F'_{4}) → γ_4Rotate(F'_{3}, (-(10°)), A) → I_2Angle(I_2, A, F'_{3}) → δ_4Rotate(I_2, (-(10°)), A) → J_2Angle(J_2, A, I_2) → ε_4Rotate(G_2, (-(10°)), A) → K_2Angle(K_2, A, G_2) → ζ_4Rotate(K_2, (-(10°)), A) → L_2Angle(L_2, A, K_2) → η_4Rotate(D, 1°, A) → D'Angle(D, A, D') → θ_4Rotate(D', 1°, A) → D''Angle(D', A, D'') → ι_4Rotate(D'', 1°, A) → D'''Angle(D'', A, D''') → κ_4Rotate(D''', 1°, A) → M_2Angle(D''', A, M_2) → λ_4Rotate(M_2, 1°, A) → N_2Angle(M_2, A, N_2) → μ_4Rotate(N_2, 1°, A) → O_2Angle(N_2, A, O_2) → ν_4Rotate(O_2, 1°, A) → P_2Angle(O_2, A, P_2) → ξ_4Rotate(P_2, 1°, A) → Q_2Angle(P_2, A, Q_2) → ο_4Rotate(Q_2, 1°, A) → R_2Angle(Q_2, A, R_2) → ρ_4Rotate(L_2, 1°, A) → S_2Angle(L_2, A, S_2) → σ_4Rotate(S_2, 1°, A) → T_2Angle(S_2, A, T_2) → τ_4Rotate(T_2, 1°, A) → U_2Angle(T_2, A, U_2) → υ_4Rotate(U_2, 1°, A) → V_2Angle(U_2, A, V_2) → ϕ_4Rotate(V_2, 1°, A) → W_2Angle(V_2, A, W_2) → χ_4Rotate(W_2, 1°, A) → Z_2Angle(W_2, A, Z_2) → ψ_4Rotate(Z_2, 1°, A) → A_3Angle(Z_2, A, A_3) → ω_4Rotate(A_3, 1°, A) → B_3Angle(A_3, A, B_3) → α_5Rotate(B_3, 1°, A) → C_3Angle(B_3, A, C_3) → β_5Rotate(K_2, 1°, A) → D_3Angle(K_2, A, D_3) → γ_5Rotate(D_3, 1°, A) → E_3Angle(D_3, A, E_3) → δ_5Rotate(E_3, 1°, A) → F_3Angle(E_3, A, F_3) → ε_5Rotate(F_3, 1°, A) → G_3Angle(F_3, A, G_3) → ζ_5Rotate(G_3, 1°, A) → H_3Angle(G_3, A, H_3) → η_5Rotate(H_3, 1°, A) → I_3Angle(H_3, A, I_3) → θ_5Rotate(I_3, 1°, A) → J_3Angle(I_3, A, J_3) → ι_5Rotate(J_3, 1°, A) → K_3Angle(J_3, A, K_3) → κ_5Rotate(G_2, 1°, A) → L_3Angle(G_2, A, L_3) → λ_5Rotate(K_3, 1°, A) → M_3Angle(K_3, A, M_3) → μ_5Rotate(L_3, 1°, A) → N_3Angle(L_3, A, N_3) → ν_5Rotate(N_3, 1°, A) → O_3Angle(N_3, A, O_3) → ξ_5Rotate(O_3, 1°, A) → P_3Angle(O_3, A, P_3) → ο_5Rotate(P_3, 1°, A) → Q_3Angle(P_3, A, Q_3) → ρ_5Rotate(Q_3, 1°, A) → R_3Angle(Q_3, A, R_3) → σ_5Rotate(R_3, 1°, A) → S_3Angle(R_3, A, S_3) → τ_5Rotate(S_3, 1°, A) → T_3Angle(S_3, A, T_3) → υ_5Rotate(T_3, 1°, A) → U_3Angle(T_3, A, U_3) → ϕ_5Rotate(J_2, 1°, A) → V_3Angle(J_2, A, V_3) → χ_5Line(G_2, A) → h_5Line(F'_{3}, A) → i_5Rotate(V_3, 1°, A) → W_3Angle(V_3, A, W_3) → ψ_5Rotate(W_3, 1°, A) → Z_3Angle(W_3, A, Z_3) → ω_5Rotate(Z_3, 1°, A) → A_4Angle(Z_3, A, A_4) → α_6Rotate(A_4, 1°, A) → B_4Angle(A_4, A, B_4) → β_6Rotate(B_4, 1°, A) → C_4Angle(B_4, A, C_4) → γ_6Rotate(C_4, 1°, A) → D_4Angle(C_4, A, D_4) → δ_6Rotate(D_4, 1°, A) → E_4Angle(D_4, A, E_4) → ε_6Rotate(E_4, 1°, A) → F_4Angle(E_4, A, F_4) → ζ_6Rotate(I_2, 1°, A) → G_4Angle(I_2, A, G_4) → η_6Rotate(G_4, 1°, A) → H_4Angle(G_4, A, H_4) → θ_6Rotate(H_4, 1°, A) → I_4Angle(H_4, A, I_4) → ι_6Rotate(I_4, 1°, A) → J_4Angle(I_4, A, J_4) → κ_6Rotate(J_4, 1°, A) → K_4Angle(J_4, A, K_4) → λ_6Rotate(K_4, 1°, A) → L_4Angle(K_4, A, L_4) → μ_6Rotate(L_4, 1°, A) → M_4Angle(L_4, A, M_4) → ν_6Rotate(M_4, 1°, A) → N_4Angle(M_4, A, N_4) → ξ_6Rotate(N_4, 1°, A) → O_4Angle(N_4, A, O_4) → ο_6Rotate(F'_{3}, 1°, A) → P_4Angle(F'_{3}, A, P_4) → ρ_6Rotate(P_4, 1°, A) → Q_4Angle(P_4, A, Q_4) → σ_6Rotate(Q_4, 1°, A) → R_4Angle(Q_4, A, R_4) → τ_6Rotate(R_4, 1°, A) → S_4Angle(R_4, A, S_4) → υ_6Rotate(S_4, 1°, A) → T_4Angle(S_4, A, T_4) → ϕ_6Rotate(T_4, 1°, A) → U_4Angle(T_4, A, U_4) → χ_6Rotate(U_4, 1°, A) → V_4Angle(U_4, A, V_4) → ψ_6Rotate(V_4, 1°, A) → W_4Angle(V_4, A, W_4) → ω_6Rotate(W_4, 1°, A) → Z_4Angle(W_4, A, Z_4) → α_7Rotate(H_2, 1°, A) → A_5Angle(H_2, A, A_5) → β_7Rotate(A_5, 1°, A) → B_5Angle(A_5, A, B_5) → γ_7Rotate(B_5, 1°, A) → C_5Angle(B_5, A, C_5) → δ_7Rotate(C_5, 1°, A) → D_5Angle(C_5, A, D_5) → ε_7Rotate(D_5, 1°, A) → E_5Angle(D_5, A, E_5) → ζ_7Rotate(E_5, 1°, A) → F_5Angle(E_5, A, F_5) → η_7Rotate(F_5, 1°, A) → G_5Angle(F_5, A, G_5) → θ_7Rotate(G_5, 1°, A) → H_5Angle(G_5, A, H_5) → ι_7Rotate(H_5, 1°, A) → I_5Angle(H_5, A, I_5) → κ_7Rotate(F'_{4}, 1°, A) → J_5Angle(F'_{4}, A, J_5) → λ_7Rotate(J_5, 1°, A) → K_5Angle(J_5, A, K_5) → μ_7Rotate(K_5, 1°, A) → L_5Angle(K_5, A, L_5) → ν_7Rotate(L_5, 1°, A) → M_5Angle(L_5, A, M_5) → ξ_7Rotate(M_5, 1°, A) → N_5Angle(M_5, A, N_5) → ο_7Rotate(N_5, 1°, A) → O_5Angle(N_5, A, O_5) → ρ_7Rotate(O_5, 1°, A) → P_5Angle(O_5, A, P_5) → σ_7Rotate(P_5, 1°, A) → Q_5Angle(P_5, A, Q_5) → τ_7Rotate(Q_5, 1°, A) → R_5Angle(Q_5, A, R_5) → υ_7Line(Q_5, A) → j_5Line(R_5, A) → k_5Line(P_5, A) → l_5Line(N_5, A) → m_5Line(O_5, A) → n_5Line(M_5, A) → p_5Line(L_5, A) → q_5Line(K_5, A) → r_5Line(J_5, A) → s_5Line(F'_{4}, A) → t_5Line(I_5, A) → a_5Line(H_5, A) → b_5Line(G_5, A) → c_5Line(F_5, A) → d_5Line(E_5, A) → e_5Line(D_5, A) → f_6Line(C_5, A) → g_6Line(B_5, A) → h_6Line(A_5, A) → i_6Line(H_2, A) → j_6Line(W_4, A) → k_6Line(Z_4, A) → l_6Line(V_4, A) → m_6Line(U_4, A) → n_6Line(T_4, A) → p_6Line(R_4, A) → q_6Line(S_4, A) → r_6Line(Q_4, A) → s_6Line(P_4, A) → t_6Line(N_4, A) → a_6Line(O_4, A) → b_6Line(M_4, A) → c_6Line(L_4, A) → d_6Line(K_4, A) → e_6Line(J_4, A) → f_7Line(I_4, A) → g_7Line(H_4, A) → h_7Line(G_4, A) → i_7Line(I_2, A) → j_7Line(F_4, A) → k_7Line(E_4, A) → l_7Line(D_4, A) → m_7Line(C_4, A) → n_7Line(B_4, A) → p_7Line(A_4, A) → q_7Line(Z_3, A) → r_7Line(W_3, A) → s_7Line(V_3, A) → t_7Line(J_2, A) → a_7Line(U_3, A) → b_7Line(T_3, A) → c_7Line(S_3, A) → d_7Line(R_3, A) → e_7Line(Q_3, A) → f_8Line(P_3, A) → g_8Line(N_3, A) → h_8Line(O_3, A) → i_8Line(L_3, A) → j_8Line(M_3, A) → k_8Line(K_3, A) → l_8Line(I_3, A) → m_8Line(J_3, A) → n_8Line(H_3, A) → p_8Line(G_3, A) → q_8Line(F_3, A) → r_8Line(E_3, A) → s_8Line(D_3, A) → t_8Line(K_2, A) → a_8Line(C_3, A) → b_8Line(B_3, A) → c_8Line(A_3, A) → d_8Line(Z_2, A) → e_8Line(V_2, A) → f_9Line(W_2, A) → g_9Line(T_2, A) → h_9Line(U_2, A) → i_9Line(S_2, A) → j_9Line(L_2, A) → k_9Line(Q_2, A) → l_9Line(R_2, A) → m_9Line(P_2, A) → n_9Line(O_2, A) → p_9Line(N_2, A) → q_9Line(M_2, A) → r_9Line(D''', A) → s_9Line(D'', A) → t_9Line(D', A) → a_9Intersect(c, a_9) → S_5, T_5Intersect(c, t_9) → U_5, V_5Intersect(c, s_9) → W_5, Z_5Intersect(c, r_9) → A_6, B_6Intersect(c, q_9, 2) → C_6Intersect(c, p_9, 2) → D_6Intersect(c, n_9) → E_6, F_6Intersect(c, l_9, 2) → G_6Intersect(c, m_9) → H_6, I_6Intersect(c, k_9, 2) → J_6Intersect(c, j_9) → K_6, L_6Intersect(c, h_9, 2) → M_6Intersect(c, i_9, 2) → N_6Intersect(c, f_9, 2) → O_6Intersect(c, g_9) → P_6, Q_6Intersect(c, e_8, 2) → R_6Intersect(c, d_8) → S_6, T_6Intersect(c, c_8, 2) → U_6Intersect(c, b_8, 2) → V_6Intersect(c, a_8, 2) → W_6Intersect(g_9, d_8) → Z_6Intersect(c, t_8) → A_7, B_7Intersect(c, s_8, 2) → C_7Intersect(c, r_8, 2) → D_7Intersect(c, q_8, 2) → E_7Intersect(c, p_8, 2) → F_7Intersect(c, m_8, 2) → G_7Intersect(c, n_8, 2) → H_7Intersect(c, l_8, 2) → I_7Intersect(c, k_8, 2) → J_7Intersect(c, h_5, 2) → K_7Intersect(c, j_8, 2) → L_7Intersect(c, h_8, 2) → M_7Intersect(c, i_8, 2) → N_7Intersect(c, g_8, 2) → O_7Intersect(c, f_8, 2) → P_7Intersect(c, e_7, 2) → Q_7Intersect(c, d_7, 2) → R_7Intersect(c, c_7, 2) → S_7Intersect(c, b_7) → T_7, U_7Intersect(c, a_7) → V_7, W_7Intersect(c, t_7) → Z_7, A_8Intersect(c, s_7, 2) → B_8Intersect(c, r_7, 2) → C_8Intersect(c, q_7, 2) → D_8Intersect(c, p_7, 2) → E_8Intersect(c, n_7, 2) → F_8Intersect(c, m_7, 2) → G_8Intersect(c, l_7, 2) → H_8Intersect(c, k_7) → I_8, J_8Intersect(c, j_7, 2) → K_8Intersect(c, i_7, 2) → L_8Intersect(c, h_7, 2) → M_8Intersect(c, g_7, 2) → N_8Intersect(c, f_7, 2) → O_8Intersect(c, e_6, 2) → P_8Intersect(c, d_6, 2) → Q_8Intersect(c, c_6, 2) → R_8Intersect(c, a_6, 2) → S_8Intersect(c, b_6, 2) → T_8Intersect(c, i_5, 2) → U_8Intersect(c, t_6, 2) → V_8Intersect(c, s_6, 2) → W_8Intersect(c, q_6, 2) → Z_8Intersect(c, r_6, 2) → A_9Intersect(c, p_6, 2) → B_9Intersect(c, n_6, 2) → C_9Intersect(c, m_6, 2) → D_9Intersect(c, k_6, 2) → E_9Intersect(c, l_6, 2) → F_9Intersect(c, j_6) → G_9, H_9Intersect(c, i_6, 2) → I_9Intersect(c, h_6) → J_9, K_9Intersect(c, g_6, 2) → L_9Intersect(c, f_6, 2) → M_9Intersect(c, e_5, 2) → N_9Intersect(c, d_5, 2) → O_9Intersect(c, c_5, 2) → P_9Intersect(c, b_5) → Q_9, R_9Intersect(c, a_5) → S_9, T_9Intersect(c, t_5, 2) → U_9Intersect(c, t_5, 2) → V_9Intersect(c, s_5, 2) → W_9Intersect(c, r_5, 2) → Z_9Intersect(c, q_5) → A_{10}, B_{10}Intersect(c, p_5, 2) → C_{10}Intersect(c, m_5, 2) → D_{10}Intersect(c, n_5, 2) → E_{10}Intersect(c, l_5, 2) → F_{10}Intersect(c, j_5) → G_{10}, H_{10}Intersect(c, k_5, 2) → I_{10}Intersect(c, a, 1) → J_{10}Intersect(c, d, 2) → K_{10}Intersect(c, f_1, 2) → L_{10}Intersect(c, e) → M_{10}, N_{10}Intersect(c, g_1) → O_{10}, P_{10}Intersect(c, h_1, 2) → Q_{10}Intersect(a, i_1) → R_{10}Intersect(c, i_1) → S_{10}, T_{10}Intersect(c, j_1) → U_{10}, V_{10}Intersect(c, l_1, 2) → W_{10}Intersect(c, l_1, 2) → Z_{10}Intersect(c, n) → A_{11}, B_{11}Intersect(c, m_1) → C_{11}, D_{11}Intersect(c, k_1, 2) → E_{11}Intersect(c, n_1, 2) → F_{11}Intersect(c, p_1, 2) → G_{11}Intersect(c, q_1) → H_{11}, I_{11}Intersect(c, r_1, 2) → J_{11}Intersect(c, s_1, 2) → K_{11}Intersect(c, t_1) → L_{11}, M_{11}Intersect(c, a_1, 2) → N_{11}Intersect(c, p, 2) → O_{11}Intersect(c, b_1, 2) → P_{11}Intersect(c, c_1, 2) → Q_{11}Intersect(c, d_1, 2) → R_{11}Intersect(c, e_1) → S_{11}, T_{11}Intersect(c, f_2, 2) → U_{11}Intersect(c, g_2, 2) → V_{11}Intersect(c, h_2, 2) → W_{11}Intersect(c, i_2, 2) → Z_{11}Intersect(c, j_2, 2) → A_{12}Intersect(c, j) → B_{12}, C_{12}Intersect(c, k_2, 2) → D_{12}Intersect(c, m_2, 2) → E_{12}Intersect(c, l_2) → F_{12}, G_{12}Intersect(c, n_2, 2) → H_{12}Intersect(c, p_2, 2) → I_{12}Intersect(c, q_2, 2) → J_{12}Intersect(c, r_2, 2) → K_{12}Intersect(c, s_2, 2) → L_{12}Intersect(c, t_2, 2) → M_{12}Intersect(c, q, 2) → N_{12}Intersect(c, a_2, 2) → O_{12}Intersect(c, b_2, 2) → P_{12}Intersect(c, c_2, 2) → Q_{12}Intersect(c, d_2, 2) → R_{12}Intersect(c, e_2, 2) → S_{12}Intersect(c, f_3, 2) → T_{12}Intersect(c, g_3, 2) → U_{12}Intersect(c, h_3, 2) → V_{12}Intersect(c, i_3) → W_{12}, Z_{12}Intersect(c, r, 2) → A_{13}Intersect(c, j_3) → B_{13}, C_{13}Intersect(c, k_3, 2) → D_{13}Intersect(c, l_3, 2) → E_{13}Intersect(c, m_3, 2) → F_{13}Intersect(c, n_3) → G_{13}, H_{13}Intersect(c, p_3, 2) → I_{13}Intersect(c, q_3, 2) → J_{13}Intersect(c, r_3, 2) → K_{13}Intersect(c, s_3) → L_{13}, M_{13}Intersect(c, m, 2) → N_{13}Intersect(c, t_3, 2) → O_{13}Intersect(c, a_3, 2) → P_{13}Intersect(c, b_3, 2) → Q_{13}Intersect(c, c_3, 2) → R_{13}Intersect(c, d_3) → S_{13}, T_{13}Intersect(c, e_3, 2) → U_{13}Intersect(c, f_4, 2) → V_{13}Intersect(c, g_4, 2) → W_{13}Intersect(c, h_4) → Z_{13}, A_{14}Intersect(c, s, 2) → B_{14}Intersect(c, i_4, 2) → C_{14}Intersect(c, j_4, 2) → D_{14}Intersect(c, k_4, 2) → E_{14}Intersect(c, l_4, 2) → F_{14}Intersect(c, m_4, 2) → G_{14}Intersect(c, n_4, 2) → H_{14}Intersect(c, p_4, 2) → I_{14}Intersect(c, q_4) → J_{14}, K_{14}Intersect(c, r_4, 2) → L_{14}Intersect(c, t, 2) → M_{14}Intersect(c, s_4, 2) → N_{14}Intersect(c, t_4) → O_{14}, P_{14}Intersect(c, a_4) → Q_{14}, R_{14}Intersect(c, b_4, 2) → S_{14}Intersect(c, c_4, 2) → T_{14}Intersect(c, d_4, 2) → U_{14}Intersect(c, e_4, 2) → V_{14}Intersect(c, f_5, 2) → W_{14}Intersect(c, g_5, 2) → Z_{14}Segment(D', A) → b_9Segment(A, D'') → c_9Segment(D''', A) → d_9Segment(A, M_2) → e_9Segment(A, N_2) → f_{10}Segment(O_2, A) → g_{10}Segment(P_2, A) → h_{10}Segment(A, Q_2) → i_{10}Segment(L_2, A) → j_{10}Segment(A, R_2) → k_{10}Segment(S_2, A) → l_{10}Segment(A, T_2) → m_{10}Segment(U_2, A) → n_{10}Segment(A, V_2) → p_{10}Segment(W_2, A) → q_{10}Segment(A, Z_2) → r_{10}Segment(A_3, A) → s_{10}Segment(A, B_3) → t_{10}Segment(K_2, A) → a_{10}Segment(C_3, A) → b_{10}Segment(A, D_3) → c_{10}Segment(E_3, A) → d_{10}Segment(A, F_3) → e_{10}Segment(G_3, A) → f_{11}Segment(A, H_3) → g_{11}Segment(I_3, A) → h_{11}Segment(A, J_3) → i_{11}Segment(K_3, A) → j_{11}Segment(A, M_3) → k_{11}Segment(L_3, A) → l_{11}Segment(A, N_3) → m_{11}Segment(O_3, A) → n_{11}Segment(P_3, A) → p_{11}Segment(Q_3, A) → q_{11}Segment(A, R_3) → r_{11}Segment(S_3, A) → s_{11}Segment(A, T_3) → t_{11}Segment(J_2, A) → a_{11}Segment(A, U_3) → b_{11}Segment(V_3, A) → c_{11}Segment(A, W_3) → d_{11}Segment(Z_3, A) → e_{11}Segment(A, A_4) → f_{12}Segment(B_4, A) → g_{12}Segment(A, C_4) → h_{12}Segment(D_4, A) → i_{12}Segment(A, E_4) → j_{12}Segment(I_2, A) → k_{12}Segment(A, F_4) → l_{12}Segment(G_4, A) → m_{12}Segment(A, H_4) → n_{12}Segment(I_4, A) → p_{12}Segment(A, J_4) → q_{12}Segment(K_4, A) → r_{12}Segment(A, L_4) → s_{12}Segment(M_4, A) → t_{12}Segment(N_4, A) → a_{12}Segment(A, O_4) → b_{12}Segment(P_4, A) → c_{12}Segment(A, Q_4) → d_{12}Segment(R_4, A) → e_{12}Segment(A, S_4) → f_{13}Segment(T_4, A) → g_{13}Segment(A, U_4) → h_{13}Segment(V_4, A) → i_{13}Segment(A, W_4) → j_{13}Segment(H_2, A) → k_{13}Segment(A, Z_4) → l_{13}Segment(A_5, A) → m_{13}Segment(A, B_5) → n_{13}Segment(C_5, A) → p_{13}Segment(D_5, A) → q_{13}Segment(E_5, A) → r_{13}Segment(F_5, A) → s_{13}Segment(A, G_5) → t_{13}Segment(H_5, A) → a_{13}Segment(A, F'_{4}) → b_{13}Segment(I_5, A) → c_{13}Segment(A, J_5) → d_{13}Segment(K_5, A) → e_{13}Segment(A, L_5) → f_{14}Segment(M_5, A) → g_{14}Segment(A, N_5) → h_{14}Segment(O_5, A) → i_{14}Segment(A, P_5) → j_{14}Segment(Q_5, A) → k_{14}Segment(A, R_5) → l_{14}Segment(A, Z_{14}) → m_{14}Segment(W_{14}, A) → n_{14}Segment(A, V_{14}) → p_{14}Segment(U_{14}, A) → q_{14}Segment(A, T_{14}) → r_{14}Segment(S_{14}, A) → s_{14}Segment(A, R_{14}) → t_{14}Segment(N_{14}, A) → a_{14}Segment(A, P_{14}) → b_{14}Segment(M_{14}, A) → c_{14}Segment(A, L_{14}) → d_{14}Segment(I_{14}, A) → e_{14}Segment(A, K_{14}) → f_{15}Segment(H_{14}, A) → g_{15}Segment(A, G_{14}) → h_{15}Segment(D_{14}, A) → i_{15}Segment(A, C_{14}) → j_{15}Segment(B_{14}, A) → k_{15}Segment(A, A_{14}) → l_{15}Segment(V_{13}, A) → m_{15}Segment(A, W_{13}) → n_{15}Segment(T_{13}, A) → p_{15}Segment(A, U_{13}) → q_{15}Segment(Q_{13}, A) → r_{15}Segment(R_{13}, A) → s_{15}Segment(O_{13}, A) → t_{15}Segment(A, P_{13}) → a_{15}Segment(A, F_{14}) → b_{15}Segment(A, E_{14}) → c_{15}Segment(K_{13}, A) → d_{15}Segment(A, M_{13}) → e_{15}Segment(I_{13}, A) → f_{16}Segment(A, J_{13}) → g_{16}Segment(F_{13}, A) → h_{16}Segment(A, H_{13}) → i_{16}Segment(D_{13}, A) → j_{16}Segment(E_{13}, A) → k_{16}Segment(A, C_{13}) → l_{16}Segment(Z_{12}, A) → m_{16}Segment(A, A_{13}) → n_{16}Segment(U_{12}, A) → p_{16}Segment(A, V_{12}) → q_{16}Segment(S_{12}, A) → r_{16}Segment(A, T_{12}) → s_{16}Segment(Q_{12}, A) → t_{16}Segment(A, R_{12}) → a_{16}Segment(O_{12}, A) → b_{16}Segment(A, P_{12}) → c_{16}Segment(M_{12}, A) → d_{16}Segment(A, N_{12}) → e_{16}Segment(K_{12}, A) → f_{17}Segment(H_{12}, A) → g_{17}Segment(A, I_{12}) → h_{17}Segment(J_{12}, A) → i_{17}Segment(A, L_{12}) → j_{17}Segment(E_{12}, A) → k_{17}Segment(A, G_{12}) → l_{17}Segment(D_{12}, A) → m_{17}Segment(A, A_{12}) → n_{17}Segment(W_{11}, A) → p_{17}Segment(A, Z_{11}) → q_{17}Segment(U_{11}, V_{11}) → r_{17}Segment(V_{11}, A) → s_{17}Segment(A, U_{11}) → t_{17}Segment(R_{11}, A) → a_{17}Segment(A, T_{11}) → b_{17}Segment(P_{11}, A) → c_{17}Segment(A, Q_{11}) → d_{17}Segment(N_{11}, A) → e_{17}Segment(A, O_{11}) → f_{18}Segment(M_{11}, A) → g_{18}Segment(K_{11}, A) → h_{18}Segment(A, J_{11}) → i_{18}Segment(G_{11}, A) → j_{18}Segment(A, I_{11}) → k_{18}Segment(E_{11}, A) → l_{18}Segment(A, F_{11}) → m_{18}Segment(B_{11}, A) → n_{18}Segment(A, D_{11}) → p_{18}Segment(V_{10}, A) → q_{18}Segment(A, W_{10}) → r_{18}Segment(Q_{10}, A) → s_{18}Segment(A, T_{10}) → t_{18}Segment(N_{10}, A) → a_{18}Segment(A, P_{10}) → b_{18}Segment(L_{10}, A) → c_{18}Segment(A, K_{10}) → d_{18}Segment(J_{10}, A) → e_{18}Segment(H_{10}, A) → f_{19}Segment(A, I_{10}) → g_{19}Segment(E_{10}, A) → h_{19}Segment(A, F_{10}) → i_{19}Segment(C_{10}, A) → j_{19}Segment(A, Z_9) → k_{19}Segment(U_9, A) → l_{19}Segment(A, P_9) → m_{19}Segment(R_9, A) → n_{19}Segment(A, T_9) → p_{19}Segment(W_9, A) → q_{19}Segment(A, B_{10}) → r_{19}Segment(D_{10}, A) → s_{19}Segment(A, O_9) → t_{19}Segment(N_9, A) → a_{19}Segment(A, M_9) → b_{19}Segment(K_9, A) → c_{19}Segment(A, L_9) → d_{19}Segment(H_9, A) → e_{19}Segment(A, I_9) → f_{20}Segment(F_9, A) → g_{20}Segment(A, E_9) → h_{20}Segment(C_9, A) → i_{20}Segment(A, D_9) → j_{20}Segment(A_9, A) → k_{20}Segment(A, B_9) → l_{20}Segment(W_8, A) → m_{20}Segment(A, Z_8) → n_{20}Segment(V_8, A) → p_{20}Segment(A, T_8) → q_{20}Segment(R_8, A) → r_{20}Segment(A, S_8) → s_{20}Segment(A, Q_8) → t_{20}Segment(O_8, A) → a_{20}Segment(P_8, A) → b_{20}Segment(A, M_8) → c_{20}Segment(N_8, A) → d_{20}Segment(A, L_8) → e_{20}Segment(K_8, A) → f_{21}Segment(A, J_8) → g_{21}Segment(G_8, A) → h_{21}Segment(A, H_8) → i_{21}Segment(F_8, A) → j_{21}Segment(A, E_8) → k_{21}Segment(D_8, A) → l_{21}Segment(A, C_8) → m_{21}Segment(B_8, A) → n_{21}Segment(A, A_8) → p_{21}Segment(U_7, A) → q_{21}Segment(A, W_7) → r_{21}Segment(S_7, A) → s_{21}Segment(A, R_7) → t_{21}Segment(P_7, A) → a_{21}Segment(A, Q_7) → b_{21}Segment(O_7, A) → c_{21}Segment(A, N_7) → d_{21}Segment(M_7, A) → e_{21}Segment(A, L_7) → f_{22}Segment(I_7, A) → g_{22}Segment(J_7, A) → i_{22}Segment(H_7, A) → h_{22}Segment(F_7, A) → j_{22}Segment(A, E_7) → k_{22}Segment(G_7, A) → l_{22}Segment(A, D_7) → m_{22}Segment(C_7, A) → n_{22}Segment(A, W_6) → p_{22}Segment(B_7, A) → q_{22}Segment(A, U_6) → r_{22}Segment(V_6, A) → s_{22}Segment(A, T_6) → t_{22}Segment(Q_6, A) → a_{22}Segment(A, R_6) → b_{22}Segment(O_6, A) → c_{22}Segment(A, M_6) → d_{22}Segment(N_6, A) → e_{22}Segment(A, L_6) → f_{23}Segment(I_6, A) → g_{23}Segment(A, J_6) → h_{23}Segment(F_6, A) → i_{23}Segment(G_6, A) → j_{23}Segment(A, D_6) → k_{23}Segment(C_6, A) → l_{23}Segment(A, B_6) → m_{23}Segment(V_5, A) → n_{23}Segment(A, Z_5) → p_{23}Segment(T_5, A) → q_{23}Segment(A, E_2) → r_{23}Segment(C_2, A) → s_{23}Segment(A, D_2) → t_{23}Segment(A_2, A) → a_{23}Segment(A, B_2) → b_{23}Segment(K''', A) → c_{23}Segment(Z_1, A) → d_{23}Segment(A, K') → e_{23}Segment(K'', A) → f_{24}Segment(A, K) → g_{24}Segment(V_1, A) → h_{24}Segment(A, W_1) → i_{24}Segment(U_1, A) → j_{24}Segment(A, T_1) → k_{24}Segment(R_1, A) → l_{24}Segment(A, S_1) → m_{24}Segment(P_1, A) → n_{24}Segment(A, Q_1) → p_{24}Segment(O_1, A) → q_{24}Segment(A, F''') → r_{24}Segment(M_1, A) → s_{24}Segment(A, N_1) → t_{24}Segment(K_1, A) → a_{24}Segment(L_1, A) → b_{24}Segment(A, J_1) → c_{24}Segment(H_1, A) → d_{24}Segment(A, I_1) → e_{24}Segment(F'''_{1}, A) → f_{25}Segment(A, G_1) → g_{25}Segment(E_1, A) → h_{25}Segment(A, F_1) → i_{25}Segment(D_1, A) → j_{25}Segment(A, B_1) → k_{25}Segment(C_1, A) → l_{25}Segment(A, A_1) → m_{25}Segment(H''', A) → n_{25}Segment(A, H'') → p_{25}Segment(H', A) → q_{25}Segment(A, H) → r_{25}Segment(W''', A) → s_{25}Segment(A, Z) → t_{25}Segment(W'', A) → a_{25}Segment(A, W') → b_{25}Segment(W, A) → c_{25}Segment(A, V''') → d_{25}Segment(V'', A) → e_{25}Segment(A, V) → f_{26}Segment(V', A) → g_{26}Segment(A, F''_{1}) → h_{26}Segment(U'', A) → i_{26}Segment(A, U''') → j_{26}Segment(U, A) → k_{26}Segment(A, U') → l_{26}Segment(T''', A) → m_{26}Segment(A, T'') → n_{26}Segment(T', A) → p_{26}Segment(A, T) → q_{26}Segment(F''_{2}, A) → r_{26}Segment(A, S) → s_{26}Segment(A, S') → t_{26}Segment(R''', A) → a_{26}Segment(A, R'') → b_{26}Segment(R, A) → c_{26}Segment(A, R') → d_{26}Segment(E''', A) → e_{26}Segment(A, E'') → f_{27}Segment(E', A) → g_{27}Segment(A, E) → h_{27}Segment(P''', A) → i_{27}Segment(A, Q) → j_{27}Segment(P'', A) → k_{27}Segment(A, P') → l_{27}Segment(P, A) → m_{27}Segment(A, O''') → n_{27}Segment(O'', A) → p_{27}Segment(A, O') → q_{27}Segment(F'_{1}, A) → r_{27}Segment(A, O) → s_{27}Segment(N'', N''') → t_{27}Segment(A, N''') → a_{27}Segment(N', A) → b_{27}Segment(A, N'') → c_{27}Segment(N, A) → d_{27}Segment(A, M''') → e_{27}Segment(M'', A) → f_{28}Segment(A, M') → g_{28}Segment(M, A) → h_{28}Segment(A, F'_{2}) → i_{28}Segment(F', C_{12}) → j_{28}Segment(F'', N_{13}) → k_{28}Segment(G, F) → l_{28}Segment(F'_{3}, U_8) → m_{28}Segment(G_2, K_7) → n_{28}Segment(D, F_2) → p_{28}Point(g) → A_{15}Vector(A, A_{15}) → uIntersect(i, b_9) → B_{15}Point(i) → C_{15}Intersect(h, p_{12}) → D_{15}Intersect(h, p_{12}) → E_{15}CircleSector(B_{15}, C_{15}, C) → c_{28}
AI Drawing Prompt Reference
Draw a circle centered at the origin. Pick a point on the circle and draw a radius from the center to that point. Construct a line through the center perpendicular to this radius, intersecting the circle at two points; connect these two points to form a chord. Rotate a point on the circle around the center by 30, 10, and 1 degrees, generating several new points, and draw rays from the center to each of these points. Mark the angles between consecutive rotated rays. The final figure consists of the circle, multiple rays from the center, and angle labels, illustrating rotation and angle measurement.
The prompt above was compiled from the original drawing commands and is for reference only.