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X₂₁₈₁¶

X₂-ISOCONJUGATE OF X₉₇

X₂₁₈₁ (X₂-ISOCONJUGATE OF X₉₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2181 = X_2-ISOCONJUGATE OF X_97."""

        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,
            ceva_conjugate,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02181(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2181 = X_2-ISOCONJUGATE OF X_97 on reference triangle ABC."""
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center"])
            X_2179 = point_from_barycentrics(model, A, B, C, 0.14560228, 0.26857992, 0.5858178, ID="X_2179", classes=["center"])
            X_2181 = ceva_conjugate(model, A, B, C, X_19, X_2179, ID="X_2181", classes=["selected", "target"])
            X_31 = eval_trilinear_point(model, A, B, C, 'a**(2)', ID="X_31", classes=["center", "incident"])
            central_line(model, X_19, X_31, 19, 31, incident=True)
            X_38 = eval_trilinear_point(model, A, B, C, 'b**(2) + c**(2)', ID="X_38", classes=["center", "incident"])
            X_92 = eval_trilinear_point(model, A, B, C, 'csc(2*A)', ID="X_92", classes=["center", "incident"])
            central_line(model, X_38, X_92, 38, 92, incident=True)
            X_244 = eval_trilinear_point(model, A, B, C, '(b - c)**(2)', ID="X_244", classes=["center", "incident"])
            X_278 = eval_trilinear_point(model, A, B, C, 'sec(A)*tan(A/2)', ID="X_278", classes=["center", "incident"])
            central_line(model, X_244, X_278, 244, 278, incident=True)
            return promote_point_to_top(model, X_2181)


        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_2181 on the given reference triangle."""
            model = create_model('X_2181 = X_2-ISOCONJUGATE OF X_97')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02181(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-02181.json"))
            write_center_svg(
                model_acute,
                here / "x-02181.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2181¶

X₂₁₈₁¶