G.304 there many numbers — Code

VIII.7

If there be as many numbers as we please in continued proportion, and the first measure the last, it will measure the second also.
A B C D
"""Programmatic construction for Book VIII, Proposition 7 (VIII.7)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0362.g1 using geometor.model."""
            model = Model("VIII.7")

            # Single-letter horizontal number segments A, B, C, D
            A_l = model.set_point(31.0, -15.0, classes=["given"], ID="A")
            A_r = model.set_point(65.0, -15.0, ID="A_r")

            B_l = model.set_point(28.0, -41.0, classes=["given"], ID="B")
            B_r = model.set_point(90.0, -41.0, ID="B_r")

            C_l = model.set_point(28.0, -67.0, classes=["given"], ID="C")
            C_r = model.set_point(154.0, -67.0, ID="C_r")

            D_l = model.set_point(24.0, -93.0, classes=["given"], ID="D")
            D_r = model.set_point(275.0, -93.0, 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()