G.332 cube number multiplying — Code

IX.3

If a cube number by multiplying itself make some number, the product is cube.
A B C D
"""Programmatic construction for Book IX, Proposition 3 (IX.3)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0392.g1 using geometor.model."""
            model = Model("IX.3")

            # Single-letter horizontal number segments A, B, C, D
            A_l = model.set_point(30.0, -22.5, classes=["given"], ID="A")
            A_r = model.set_point(62.0, -22.5, ID="A_r")

            B_l = model.set_point(33.0, -44.5, classes=["given"], ID="B")
            B_r = model.set_point(129.0, -44.5, ID="B_r")

            C_l = model.set_point(33.0, -72.5, classes=["given"], ID="C")
            C_r = model.set_point(53.0, -72.5, ID="C_r")

            D_l = model.set_point(122.0, -72.5, classes=["given"], ID="D")
            D_r = model.set_point(141.0, -72.5, 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()