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X₂₄₄₂¶

ISOGONAL CONJUGATE OF X₂₄₁₆

X₂₄₄₂ is the isogonal conjugate of X₂₄₁₆.

X₂₄₄₂ (ISOGONAL CONJUGATE OF X₂₄₁₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2442 = ISOGONAL CONJUGATE OF X_2416."""

        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,
            orthocenter_of,
            point_from_barycentrics,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02442(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2442 = ISOGONAL CONJUGATE OF X_2416 on reference triangle ABC."""
            X_2416 = point_from_barycentrics(model, A, B, C, 4.3751706, -3.2558729, -0.11929772, ID="X_2416", classes=["center"])
            X_2442 = isogonal_conjugate(model, A, B, C, X_2416, ID="X_2442", classes=["selected", "target"])
            X_4 = orthocenter_of(model, A, B, C, ID="X_4", classes=["center", "incident"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            central_line(model, X_4, X_6, 4, 6, incident=True)
            X_112 = eval_trilinear_point(model, A, B, C, 'a/(sin(2*B) - sin(2*C))', ID="X_112", classes=["center", "incident"])
            X_1301 = point_from_barycentrics(model, A, B, C, -0.036707118, 0.057047829, 0.97965929, ID="X_1301", classes=["center", "incident"])
            central_line(model, X_112, X_1301, 112, 1301, incident=True)
            return promote_point_to_top(model, X_2442)


        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_2442 on the given reference triangle."""
            model = create_model('X_2442 = ISOGONAL CONJUGATE OF X_2416')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02442(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-02442.json"))
            write_center_svg(
                model_acute,
                here / "x-02442.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2442¶

X₂₄₄₂¶