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X₂₇₄₃¶

SR(X₁₀₄, X₁₀₆)

X₂₇₄₃ = reflection of X₂₇₁₈ in X₃

X₂₇₄₃ (SR(X₁₀₄, X₁₀₆)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2743 = SR(X_104, X_106)."""

        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,
            promote_point_to_top,
            reflection_in_point,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02743(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2743 = SR(X_104, X_106) on reference triangle ABC."""
            X_2718 = eval_trilinear_point(model, A, B, C, '(1/(b**(3) + c**(3) - a**(2)*b - a**(2)*c - 2*b**(2)*c - 2*b*c**(2) + 4*a*b*c))', ID="X_2718", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_2743 = reflection_in_point(model, X_2718, X_3, ID="X_2743", 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_519 = eval_trilinear_point(model, A, B, C, '(2*a - b - c)/a', ID="X_519", classes=["center", "incident"])
            central_line(model, X_104, X_519, 104, 519, incident=True)
            X_106 = eval_trilinear_point(model, A, B, C, 'a/(2*a - b - c)', ID="X_106", classes=["center", "incident"])
            X_517 = eval_trilinear_point(model, A, B, C, '-1 + cos(B) + cos(C)', ID="X_517", classes=["center", "incident"])
            central_line(model, X_106, X_517, 106, 517, incident=True)
            X_40 = eval_trilinear_point(model, A, B, C, 'cos(B) + cos(C) - cos(A) - 1', ID="X_40", classes=["center", "incident"])
            X_953 = eval_trilinear_point(model, A, B, C, 'a/(2*a**(4) - 2*a**(3)*(b + c) - a**(2)*(b**(2) - 4*b*c + c**(2)) + (2*a - b - c)*(b - c)*(b**(2) - c**(2)))', ID="X_953", classes=["center", "incident"])
            central_line(model, X_40, X_953, 40, 953, incident=True)
            return promote_point_to_top(model, X_2743)


        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_2743 on the given reference triangle."""
            model = create_model('X_2743 = SR(X_104, X_106)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02743(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-02743.json"))
            write_center_svg(
                model_acute,
                here / "x-02743.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2743¶

X₂₇₄₃¶