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X₂₈₉₅¶

ANTICOMPLEMENTARY CONJUGATE OF X₇₅

X₂₈₉₅ = reflection of X₈₁ in X₁₂₁₁

X₂₈₉₅ (ANTICOMPLEMENTARY CONJUGATE OF X₇₅) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2895 = ANTICOMPLEMENTARY CONJUGATE OF X_75."""

        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,
            centroid_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            nagel_point_of,
            promote_point_to_top,
            reflection_in_point,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02895(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2895 = ANTICOMPLEMENTARY CONJUGATE OF X_75 on reference triangle ABC."""
            X_81 = eval_trilinear_point(model, A, B, C, '1/(b + c)', ID="X_81", classes=["center"])
            X_1211 = eval_trilinear_point(model, A, B, C, '(b*c*(b + c)*(b**(2) + c**(2) + a*b + a*c))', ID="X_1211", classes=["center"])
            X_2895 = reflection_in_point(model, X_81, X_1211, ID="X_2895", classes=["selected", "target"], guide=False)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            central_line(model, X_2, X_6, 2, 6, incident=True)
            X_8 = nagel_point_of(model, A, B, C, ID="X_8", classes=["center", "incident"])
            X_79 = eval_trilinear_point(model, A, B, C, '1/(1 + 2*cos(A))', ID="X_79", classes=["center", "incident"])
            central_line(model, X_8, X_79, 8, 79, incident=True)
            X_319 = eval_trilinear_point(model, A, B, C, '(1 + 2*cos(A))/a**(2)', ID="X_319", classes=["center", "incident"])
            X_321 = eval_trilinear_point(model, A, B, C, '(b + c)*b**(2)*c**(2)', ID="X_321", classes=["center", "incident"])
            central_line(model, X_319, X_321, 319, 321, incident=True)
            return promote_point_to_top(model, X_2895)


        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_2895 on the given reference triangle."""
            model = create_model('X_2895 = ANTICOMPLEMENTARY CONJUGATE OF X_75')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02895(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-02895.json"))
            write_center_svg(
                model_acute,
                here / "x-02895.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2895¶

X₂₈₉₅¶