G.328 similar plane numbers — Code

VIII.26

Similar plane numbers have to one another the ratio which a square number has to a square number.
A B C D E F
"""Programmatic construction for Book VIII, Proposition 26 (VIII.26)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0387.g2 using geometor.model."""
            model = Model("VIII.26")

            # Single-letter horizontal number segments A, B, C, D, E, F
            A_l = model.set_point(25.0, -14.0, classes=["given"], ID="A")
            A_r = model.set_point(95.0, -14.0, ID="A_r")

            B_l = model.set_point(144.0, -14.0, classes=["given"], ID="B")
            B_r = model.set_point(431.0, -14.0, ID="B_r")

            C_l = model.set_point(112.0, -44.0, classes=["given"], ID="C")
            C_r = model.set_point(253.0, -44.0, ID="C_r")

            D_l = model.set_point(19.0, -68.0, classes=["given"], ID="D")
            D_r = model.set_point(58.0, -68.0, ID="D_r")

            E_l = model.set_point(114.0, -68.0, classes=["given"], ID="E")
            E_r = model.set_point(181.0, -68.0, ID="E_r")

            F_l = model.set_point(243.0, -68.0, classes=["given"], ID="F")
            F_r = model.set_point(388.0, -68.0, ID="F_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(E_l, E_r)
            model.set_segment(F_l, F_r)

            return model


        if __name__ == "__main__":
            construct_g1()