G.324 numbers continued proportion — Code

VIII.22

If three numbers be in continued proportion, and the first be square, the third is square.
A B C
"""Programmatic construction for Book VIII, Proposition 22 (VIII.22)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0385.g1 using geometor.model."""
            model = Model("VIII.22")

            # Single-letter horizontal number segments A, B, C
            A_l = model.set_point(21.0, -14.0, classes=["given"], ID="A")
            A_r = model.set_point(83.0, -14.0, ID="A_r")

            B_l = model.set_point(22.0, -36.0, classes=["given"], ID="B")
            B_r = model.set_point(116.0, -36.0, ID="B_r")

            C_l = model.set_point(23.0, -62.0, classes=["given"], ID="C")
            C_r = model.set_point(162.0, -62.0, 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()