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X₂₇₆₆¶

SR(X₁₀₈, X₁₁₀)

X₂₇₆₆ = reflection of X₂₆₉₄ in X₃

X₂₇₆₆ (SR(X₁₀₈, X₁₁₀)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2766 = SR(X_108, X_110)."""

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


        def construct_x_02766(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2766 = SR(X_108, X_110) on reference triangle ABC."""
            X_2694 = point_from_barycentrics(model, A, B, C, 1.0089528, 0.48910827, -0.49806112, ID="X_2694", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_2766 = reflection_in_point(model, X_2694, X_3, ID="X_2766", classes=["selected", "target"], guide=False)
            X_104 = eval_trilinear_point(model, A, B, C, '1/(-1 + cos(B) + cos(C))', ID="X_104", classes=["center", "incident"])
            X_186 = eval_trilinear_point(model, A, B, C, '4*cos(A) - sec(A)', ID="X_186", classes=["center", "incident"])
            central_line(model, X_104, X_186, 104, 186, incident=True)
            X_105 = eval_trilinear_point(model, A, B, C, '1/(b**(2) + c**(2) - a*(b + c))', ID="X_105", classes=["center", "incident"])
            X_468 = eval_trilinear_point(model, A, B, C, '(sec(A))*(cot(B) + cot(C) - 2*cot(A))', ID="X_468", classes=["center", "incident"])
            central_line(model, X_105, X_468, 105, 468, incident=True)
            X_108 = eval_trilinear_point(model, A, B, C, 'a/(sec(B) - sec(C))', ID="X_108", classes=["center", "incident"])
            X_523 = eval_trilinear_point(model, A, B, C, 'sin(B -C)', ID="X_523", classes=["center", "incident"])
            central_line(model, X_108, X_523, 108, 523, incident=True)
            return promote_point_to_top(model, X_2766)


        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_2766 on the given reference triangle."""
            model = create_model('X_2766 = SR(X_108, X_110)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02766(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-02766.json"))
            write_center_svg(
                model_acute,
                here / "x-02766.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2766¶

X₂₇₆₆¶