G.75 construct a square on a segment — Code

I.46

Construct a square on a given segment.
C D E A B
"""Programmatic construction for Book I, I.46 (I.46).

        On a given straight line to describe a square.
        """

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure for 0361.g1 (I.46) using geometor.model."""
            model = Model("I.46")

            # 1. Points
            A = model.set_point(30, -196, classes=["given"], ID="A")
            B = model.set_point(134, -196, classes=["given"], ID="B")
            D = model.set_point(30, -92, ID="D")
            E = model.set_point(134, -92, ID="E")
            C = model.set_point(30, -21, ID="C")

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

            # 4. Collinear Sections
            model.set_section([A, D, C])

            # 5. Polygons (Triangles, Parallelograms, Trapezia, Squares)
            model.set_polygon([A, D, E, B])

            # 6. Angles (Wedges)
            model.set_wedge(A, B, B, D)
            model.set_wedge(D, A, A, E)
            model.set_wedge(B, A, A, E)
            model.set_wedge(E, B, B, D)

            return model


        if __name__ == "__main__":
            construct_g1()