G.330 similar plane numbers — Code

IX.1

If two similar plane numbers by multiplying one another make some number, the product is square.
A B C D
"""Programmatic construction for Book IX, Proposition 1 (IX.1)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0390.g1 using geometor.model."""
            model = Model("IX.1")

            # Single-letter horizontal number segments A, B, C, D
            A_l = model.set_point(33.0, -24.5, classes=["given"], ID="A")
            A_r = model.set_point(103.0, -24.5, ID="A_r")

            B_l = model.set_point(32.0, -45.5, classes=["given"], ID="B")
            B_r = model.set_point(127.0, -45.5, ID="B_r")

            C_l = model.set_point(33.0, -69.0, classes=["given"], ID="C")
            C_r = model.set_point(249.0, -69.0, ID="C_r")

            D_l = model.set_point(28.0, -92.0, classes=["given"], ID="D")
            D_r = model.set_point(199.0, -92.0, 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()