G.417 bimedial segment divided — Code

X.43

A first bimedial segment is divided at one point only.
A D C B
"""Programmatic construction for Book X, Proposition 43 (X.43)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0098.g1 using geometor.model."""
            model = Model("X.43")

            # First bimedial straight line AB divided at C and D
            A = model.set_point(16.0, -19.0, classes=["given"], ID="A")
            D = model.set_point(134.0, -19.0, ID="D")
            C = model.set_point(164.0, -19.0, classes=["given"], ID="C")
            B = model.set_point(236.0, -19.0, classes=["given"], ID="B")

            model.construct_line(A, B)

            # Whole and all sub-segments on AB
            model.set_segment(A, B)
            model.set_segment(A, D)
            model.set_segment(A, C)
            model.set_segment(D, C)
            model.set_segment(D, B)
            model.set_segment(C, B)

            # Collinear sections on AB
            model.set_section([A, C, B])
            model.set_section([A, D, B])

            return model


        if __name__ == "__main__":
            construct_g1()