G.278 numbers prime number — Code

VII.24

If two numbers be prime to any number, their product also is prime to the same.
A B C D E F
"""Programmatic construction for Book VII, Proposition 24 (VII.24)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0331.g1 using geometor.model."""
            model = Model("VII.24")

            # Single-letter vertical number segments A, B, C, D, E, F
            A_t = model.set_point(15.0, -11.0, classes=["given"], ID="A")
            A_b = model.set_point(15.0, -108.0, ID="A_b")

            B_t = model.set_point(39.0, -10.0, classes=["given"], ID="B")
            B_b = model.set_point(39.0, -87.0, ID="B_b")

            C_t = model.set_point(60.0, -11.0, classes=["given"], ID="C")
            C_b = model.set_point(60.0, -124.0, ID="C_b")

            D_t = model.set_point(86.0, -10.0, classes=["given"], ID="D")
            D_b = model.set_point(86.0, -160.0, ID="D_b")

            E_t = model.set_point(109.0, -13.0, classes=["given"], ID="E")
            E_b = model.set_point(109.0, -91.0, ID="E_b")

            F_t = model.set_point(136.0, -16.0, classes=["given"], ID="F")
            F_b = model.set_point(136.0, -80.0, ID="F_b")

            # Number segments
            model.set_segment(A_t, A_b)
            model.set_segment(B_t, B_b)
            model.set_segment(C_t, C_b)
            model.set_segment(D_t, D_b)
            model.set_segment(E_t, E_b)
            model.set_segment(F_t, F_b)

            return model


        if __name__ == "__main__":
            construct_g1()