G.334 cube number multiplying — Code

IX.5

If a cube number by multiplying any number make a cube number, the multiplied number is cube.
A B C D
"""Programmatic construction for Book IX, Proposition 5 (IX.5)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0393.g2 using geometor.model."""
            model = Model("IX.5")

            # Single-letter horizontal number segments A, B, C, D
            A_l = model.set_point(27.0, -21.0, classes=["given"], ID="A")
            A_r = model.set_point(128.0, -21.0, ID="A_r")

            B_l = model.set_point(27.0, -45.5, classes=["given"], ID="B")
            B_r = model.set_point(153.0, -45.5, ID="B_r")

            C_l = model.set_point(26.0, -68.0, classes=["given"], ID="C")
            C_r = model.set_point(272.0, -68.0, ID="C_r")

            D_l = model.set_point(28.0, -89.0, classes=["given"], ID="D")
            D_r = model.set_point(182.0, -89.0, 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()