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X₂₉₉₂¶

CD(X₁₃)

X₂₉₉₂ (CD(X₁₃)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2992 = CD(X_13)."""

        from __future__ import annotations

        from pathlib import Path

        import sympy.geometry as spg
        from geometor.model import Model

        from geometor.etc.ops import (
            central_line,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            intersect_lines,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02992(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2992 = CD(X_13) on reference triangle ABC."""
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_299 = eval_trilinear_point(model, A, B, C, '(csc(A))**(2)*sin(A -  pi  /3)', ID="X_299", classes=["center"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center"])
            X_471 = eval_trilinear_point(model, A, B, C, 'sin(A -  pi  /3)*csc(2*A)', ID="X_471", classes=["center"])
            central_line(model, X_3, X_299, 3, 299)
            central_line(model, X_6, X_471, 6, 471)
            X_2992 = intersect_lines(model, X_3, X_299, X_6, X_471, ID="X_2992", classes=["selected", "target"])
            X_265 = eval_trilinear_point(model, A, B, C, 'sin(2*A)*csc(3*A)', ID="X_265", classes=["center", "incident"])
            X_300 = eval_trilinear_point(model, A, B, C, '(csc(A))**(2)*csc(A +  pi  /3)', ID="X_300", classes=["center", "incident"])
            central_line(model, X_265, X_300, 265, 300, incident=True)
            return promote_point_to_top(model, X_2992)


        def build_model(
            sides: tuple[float, float, float] = (5.0, 6.0, 7.0),
            show_guides: bool = False,
        ) -> Model:
            """Build a `geometor.model.Model` for X_2992 on the given reference triangle."""
            model = create_model('X_2992 = CD(X_13)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02992(model, A, B, C)
            return model


        if __name__ == "__main__":
            here = Path(__file__).resolve().parent
            model_acute = build_model((5.0, 6.0, 7.0))
            model_acute.save(str(here / "x-02992.json"))
            write_center_svg(
                model_acute,
                here / "x-02992.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2992¶

X₂₉₉₂¶