G.323 mean proportional numbers — Code

VIII.21

If two mean proportional numbers fall between two numbers, the numbers are similar solid numbers.
A B C D N O E F G H K L M
"""Programmatic construction for Book VIII, Proposition 21 (VIII.21)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0383.g1 using geometor.model."""
            model = Model("VIII.21")

            # Single-letter horizontal number segments A, B, C, D, N, O, E, F, G, H, K, L, M
            A_l = model.set_point(26.0, -14.0, classes=["given"], ID="A")
            A_r = model.set_point(60.0, -14.0, ID="A_r")

            B_l = model.set_point(24.0, -36.0, classes=["given"], ID="B")
            B_r = model.set_point(309.0, -36.0, ID="B_r")

            C_l = model.set_point(24.0, -57.0, classes=["given"], ID="C")
            C_r = model.set_point(99.0, -57.0, ID="C_r")

            D_l = model.set_point(24.0, -80.0, classes=["given"], ID="D")
            D_r = model.set_point(173.0, -80.0, ID="D_r")

            N_l = model.set_point(76.0, -102.0, classes=["given"], ID="N")
            N_r = model.set_point(96.0, -102.0, ID="N_r")

            O_l = model.set_point(76.0, -122.0, classes=["given"], ID="O")
            O_r = model.set_point(112.0, -122.0, ID="O_r")

            E_l = model.set_point(355.0, -14.0, classes=["given"], ID="E")
            E_r = model.set_point(374.0, -14.0, ID="E_r")

            F_l = model.set_point(355.0, -35.0, classes=["given"], ID="F")
            F_r = model.set_point(380.0, -35.0, ID="F_r")

            G_l = model.set_point(358.0, -56.0, classes=["given"], ID="G")
            G_r = model.set_point(405.0, -56.0, ID="G_r")

            H_l = model.set_point(358.0, -79.0, classes=["given"], ID="H")
            H_r = model.set_point(372.0, -79.0, ID="H_r")

            K_l = model.set_point(358.0, -99.0, classes=["given"], ID="K")
            K_r = model.set_point(375.0, -99.0, ID="K_r")

            L_l = model.set_point(358.0, -119.0, classes=["given"], ID="L")
            L_r = model.set_point(376.0, -119.0, ID="L_r")

            M_l = model.set_point(357.0, -140.0, classes=["given"], ID="M")
            M_r = model.set_point(384.0, -140.0, ID="M_r")

            # Number segments
            model.set_segment(A_l, A_r)
            model.set_segment(B_l, B_r)
            model.set_segment(C_l, C_r)
            model.set_segment(D_l, D_r)
            model.set_segment(N_l, N_r)
            model.set_segment(O_l, O_r)
            model.set_segment(E_l, E_r)
            model.set_segment(F_l, F_r)
            model.set_segment(G_l, G_r)
            model.set_segment(H_l, H_r)
            model.set_segment(K_l, K_r)
            model.set_segment(L_l, L_r)
            model.set_segment(M_l, M_r)

            return model


        if __name__ == "__main__":
            construct_g1()