G.218 right angled triangle — Code

VI.8

If in a right-angled triangle a perpendicular be drawn from the right angle to the base, the triangles adjoining the perpendicular are similar both to the whole and to one another.
A B D C 
"""Programmatic construction for Book VI, Proposition 8 (VI.8).

        If in a right-angled triangle a perpendicular be drawn from the right angle
        to the base, the triangles adjoining the perpendicular are similar both to
        the whole and to one another.
        """

        from __future__ import annotations

        from geometor.model import Model


        def construct_g1() -> Model:
            """Construct the figure for 0216.g1 (VI.8) using geometor.model."""
            model = Model("VI.8")

            # 1. Points
            A = model.set_point(131.0, -28.0, classes=["given"], ID="A")
            B = model.set_point(19.0, -118.0, classes=["given"], ID="B")
            C = model.set_point(203.0, -118.0, classes=["given"], ID="C")
            D = model.set_point(131.0, -118.0, ID="D")

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

            # 3. Collinear Sections
            model.set_section([B, D, C])

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

            # 5. Angles / Wedges
            model.set_wedge(A, B, B, C)
            model.set_wedge(A, B, B, D)
            model.set_wedge(A, D, D, C)
            model.set_wedge(B, A, A, C)
            model.set_wedge(C, A, A, B)
            model.set_wedge(D, A, A, B)
            model.set_wedge(D, A, A, C)

            return model


        if __name__ == "__main__":
            construct_g1()