G.344 number least measured — Code

IX.14

If a number be the least that is measured by prime numbers, it will not be measured by any other prime number except those originally measuring it.
A E F B C D
"""Programmatic construction for Book IX, Proposition 14 (IX.14)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0409.g1 using geometor.model."""
            model = Model("IX.14")

            # Left column: single-letter horizontal number segments A, E, F
            A_l = model.set_point(32.0, -20.0, classes=["given"], ID="A")
            A_r = model.set_point(174.0, -20.0, ID="A_r")

            E_l = model.set_point(31.0, -42.5, classes=["given"], ID="E")
            E_r = model.set_point(101.0, -42.5, ID="E_r")

            F_l = model.set_point(34.0, -71.5, classes=["given"], ID="F")
            F_r = model.set_point(94.0, -71.5, ID="F_r")

            # Right column: single-letter horizontal number segments B, C, D
            B_l = model.set_point(263.0, -19.5, classes=["given"], ID="B")
            B_r = model.set_point(289.0, -19.5, ID="B_r")

            C_l = model.set_point(263.0, -42.5, classes=["given"], ID="C")
            C_r = model.set_point(305.0, -42.5, ID="C_r")

            D_l = model.set_point(263.0, -60.5, classes=["given"], ID="D")
            D_r = model.set_point(317.0, -60.5, ID="D_r")

            # Number segments
            model.set_segment(A_l, A_r)
            model.set_segment(E_l, E_r)
            model.set_segment(F_l, F_r)
            model.set_segment(B_l, B_r)
            model.set_segment(C_l, C_r)
            model.set_segment(D_l, D_r)

            return model


        if __name__ == "__main__":
            construct_g1()