G.317 cube number measure — Code

VIII.17

If a cube number do not measure a cube number, neither will the side measure the side; and, if the side do not measure the side, neither will the cube measure the cube.
A B C D
"""Programmatic construction for Book VIII, Proposition 17 (VIII.17)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0376.g2 using geometor.model."""
            model = Model("VIII.17")

            # Single-letter horizontal number segments A, B, C, D
            A_l = model.set_point(21.0, -13.0, classes=["given"], ID="A")
            A_r = model.set_point(82.0, -13.0, ID="A_r")

            B_l = model.set_point(21.0, -33.0, classes=["given"], ID="B")
            B_r = model.set_point(232.0, -33.0, ID="B_r")

            C_l = model.set_point(22.0, -54.0, classes=["given"], ID="C")
            C_r = model.set_point(42.0, -54.0, ID="C_r")

            D_l = model.set_point(23.0, -73.0, classes=["given"], ID="D")
            D_r = model.set_point(48.0, -73.0, 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()