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X₂₄₃₇¶

ISOGONAL CONJUGATE OF X₂₄₁₁

X₂₄₃₇ is the isogonal conjugate of X₂₄₁₁.

X₂₄₃₇ (ISOGONAL CONJUGATE OF X₂₄₁₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2437 = ISOGONAL CONJUGATE OF X_2411."""

        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_02437(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2437 = ISOGONAL CONJUGATE OF X_2411 on reference triangle ABC."""
            X_2411 = point_from_barycentrics(model, A, B, C, 0.98172677, -0.017599034, 0.035872262, ID="X_2411", classes=["center"])
            X_2437 = isogonal_conjugate(model, A, B, C, X_2411, ID="X_2437", classes=["selected", "target"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_13 = eval_trilinear_point(model, A, B, C, 'csc(A +  pi  /3)', ID="X_13", classes=["center", "incident"])
            central_line(model, X_6, X_13, 6, 13, incident=True)
            X_2420 = point_from_barycentrics(model, A, B, C, -0.30880929, 0.14950629, 1.159303, ID="X_2420", classes=["center", "incident"])
            X_2433 = eval_trilinear_point(model, A, B, C, '(sin(B - C)*sin(A))**(2)/(csc(C - A)*cos(C) - csc(A - B)*cos(B))', ID="X_2433", classes=["center", "incident"])
            central_line(model, X_2420, X_2433, 2420, 2433, incident=True)
            return promote_point_to_top(model, X_2437)


        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_2437 on the given reference triangle."""
            model = create_model('X_2437 = ISOGONAL CONJUGATE OF X_2411')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02437(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-02437.json"))
            write_center_svg(
                model_acute,
                here / "x-02437.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2437¶

X₂₄₃₇¶