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X₂₂₀₆¶

X₂-ISOCONJUGATE OF X₃₂₁

X₂₂₀₆ (X₂-ISOCONJUGATE OF X₃₂₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2206 = X_2-ISOCONJUGATE OF X_321."""

        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,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            isogonal_conjugate,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02206(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2206 = X_2-ISOCONJUGATE OF X_321 on reference triangle ABC."""
            X_313 = eval_trilinear_point(model, A, B, C, '(b + c)*b**(3)*c**(3)', ID="X_313", classes=["center"])
            X_2206 = isogonal_conjugate(model, A, B, C, X_313, ID="X_2206", classes=["selected", "target"])
            X_31 = eval_trilinear_point(model, A, B, C, 'a**(2)', ID="X_31", classes=["center", "incident"])
            X_48 = eval_trilinear_point(model, A, B, C, 'tan(B) + tan(C)', ID="X_48", classes=["center", "incident"])
            central_line(model, X_31, X_48, 31, 48, incident=True)
            X_36 = eval_trilinear_point(model, A, B, C, '1 - 2*cos(A)', ID="X_36", classes=["center", "incident"])
            X_58 = eval_trilinear_point(model, A, B, C, 'a/(b + c)', ID="X_58", classes=["center", "incident"])
            central_line(model, X_36, X_58, 36, 58, incident=True)
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_199 = eval_trilinear_point(model, A, B, C, '(a*(b**(4) + c**(4) - a**(4) + (b**(2) + c**(2) - a**(2))*(b*c + c*a + a*b)))', ID="X_199", classes=["center", "incident"])
            central_line(model, X_6, X_199, 6, 199, incident=True)
            return promote_point_to_top(model, X_2206)


        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_2206 on the given reference triangle."""
            model = create_model('X_2206 = X_2-ISOCONJUGATE OF X_321')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02206(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-02206.json"))
            write_center_svg(
                model_acute,
                here / "x-02206.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2206¶

X₂₂₀₆¶