G.42 two angles of a triangle are less than two right angles — Code

I.17

In any triangle, the sum of any two angles is less than two right angles.

"""Programmatic construction for Book I, Proposition 17 (I.17)."""

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure 0296.g1 using geometor.model."""
            model = Model("I.17")

            # Points
            A = model.set_point(44, -35, classes=["given"], ID="A")
            B = model.set_point(88, -116.5, classes=["given"], ID="B")
            C = model.set_point(191, -116.5, classes=["given"], ID="C")
            D = model.set_point(305, -116.5, ID="D")

            # Construction lines
            model.construct_line(B, D)

            # Segments
            model.set_segment(B, D)
            model.set_segment(A, B)
            model.set_segment(A, C)
            model.set_segment(B, C)
            model.set_segment(C, D)

            # Collinear / broken sections
            model.set_section([B, C, D])

            # Polygons
            model.set_polygon([A, B, C])

            # Angles (wedges)
            model.set_wedge(C, A, A, D)
            model.set_wedge(C, A, A, B)
            model.set_wedge(B, A, A, C)
            model.set_wedge(A, B, B, C)

            return model


        if __name__ == "__main__":
            construct_g1()