G.362 odd number prime — Code

IX.31

If an odd number be prime to any number, it is prime to the double of it.
A B C D
"""Programmatic construction for Book IX, Proposition 31 (IX.31)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0423.g2 using geometor.model."""
            model = Model("IX.31")

            # Single-letter horizontal number segments A, B, C, D
            A_l = model.set_point(31.0, -19.5, classes=["given"], ID="A")
            A_r = model.set_point(98.0, -19.5, ID="A_r")

            B_l = model.set_point(33.0, -43.0, classes=["given"], ID="B")
            B_r = model.set_point(147.0, -43.0, ID="B_r")

            C_l = model.set_point(34.0, -65.5, classes=["given"], ID="C")
            C_r = model.set_point(250.0, -65.5, ID="C_r")

            D_l = model.set_point(34.0, -87.0, classes=["given"], ID="D")
            D_r = model.set_point(60.0, -87.0, ID="D_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)

            return model


        if __name__ == "__main__":
            construct_g1()