G.335 number multiplying itself — Code

IX.6

If a number by multiplying itself make a cube number, it will itself also be cube.
A B C
"""Programmatic construction for Book IX, Proposition 6 (IX.6)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0394.g1 using geometor.model."""
            model = Model("IX.6")

            # Single-letter horizontal number segments A, B, C
            A_l = model.set_point(31.0, -21.5, classes=["given"], ID="A")
            A_r = model.set_point(101.0, -21.5, ID="A_r")

            B_l = model.set_point(31.0, -43.5, classes=["given"], ID="B")
            B_r = model.set_point(124.0, -43.5, ID="B_r")

            C_l = model.set_point(31.0, -68.5, classes=["given"], ID="C")
            C_r = model.set_point(158.0, -68.5, ID="C_r")

            # Number segments
            model.set_segment(A_l, A_r)
            model.set_segment(B_l, B_r)
            model.set_segment(C_l, C_r)

            return model


        if __name__ == "__main__":
            construct_g1()