G.322 mean proportional number — Code

VIII.20

If one mean proportional number fall between two numbers, the numbers is similar plane numbers.
A B C F G D E
"""Programmatic construction for Book VIII, Proposition 20 (VIII.20)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0382.g1 using geometor.model."""
            model = Model("VIII.20")

            # Single-letter horizontal number segments A, B, C, F, G, D, E
            A_l = model.set_point(20.0, -15.0, classes=["given"], ID="A")
            A_r = model.set_point(95.0, -15.0, ID="A_r")

            B_l = model.set_point(24.0, -42.0, classes=["given"], ID="B")
            B_r = model.set_point(311.0, -42.0, ID="B_r")

            C_l = model.set_point(22.0, -63.0, classes=["given"], ID="C")
            C_r = model.set_point(164.0, -63.0, ID="C_r")

            F_l = model.set_point(91.0, -87.0, classes=["given"], ID="F")
            F_r = model.set_point(129.0, -87.0, ID="F_r")

            G_l = model.set_point(92.0, -107.0, classes=["given"], ID="G")
            G_r = model.set_point(164.0, -107.0, ID="G_r")

            D_l = model.set_point(352.0, -15.0, classes=["given"], ID="D")
            D_r = model.set_point(388.0, -15.0, ID="D_r")

            E_l = model.set_point(351.0, -42.0, classes=["given"], ID="E")
            E_r = model.set_point(423.0, -42.0, ID="E_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(F_l, F_r)
            model.set_segment(G_l, G_r)
            model.set_segment(D_l, D_r)
            model.set_segment(E_l, E_r)

            return model


        if __name__ == "__main__":
            construct_g1()