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X₂₄₄₀¶

ISOGONAL CONJUGATE OF X₂₄₁₄

X₂₄₄₀ is the isogonal conjugate of X₂₄₁₄.

X₂₄₄₀ (ISOGONAL CONJUGATE OF X₂₄₁₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2440 = ISOGONAL CONJUGATE OF X_2414."""

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


        def construct_x_02440(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2440 = ISOGONAL CONJUGATE OF X_2414 on reference triangle ABC."""
            X_2414 = point_from_barycentrics(model, A, B, C, 1.6475771, -0.04845815, -0.59911894, ID="X_2414", classes=["center"])
            X_2440 = isogonal_conjugate(model, A, B, C, X_2414, ID="X_2440", classes=["selected", "target"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_513 = eval_trilinear_point(model, A, B, C, 'b - c', ID="X_513", classes=["center", "incident"])
            central_line(model, X_6, X_513, 6, 513, incident=True)
            X_512 = eval_trilinear_point(model, A, B, C, 'a*(b**(2) - c**(2))', ID="X_512", classes=["center", "incident"])
            X_884 = point_from_barycentrics(model, A, B, C, -0.045819015, 0.98969072, 0.056128293, ID="X_884", classes=["center", "incident"])
            central_line(model, X_512, X_884, 512, 884, incident=True)
            X_919 = point_from_barycentrics(model, A, B, C, -0.11560694, 0.83236994, 0.28323699, ID="X_919", classes=["center", "incident"])
            X_2427 = point_from_barycentrics(model, A, B, C, -0.83333333, 0.2, 1.6333333, ID="X_2427", classes=["center", "incident"])
            central_line(model, X_919, X_2427, 919, 2427, incident=True)
            return promote_point_to_top(model, X_2440)


        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_2440 on the given reference triangle."""
            model = create_model('X_2440 = ISOGONAL CONJUGATE OF X_2414')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02440(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-02440.json"))
            write_center_svg(
                model_acute,
                here / "x-02440.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2440¶

X₂₄₄₀¶