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X₂₇₄₄¶

SR(X₁₀₄, X₁₀₇)

X₂₇₄₄ = reflection of X₂₇₁₉ in X₃

X₂₇₄₄ (SR(X₁₀₄, X₁₀₇)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2744 = SR(X_104, X_107)."""

        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_02744(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2744 = SR(X_104, X_107) on reference triangle ABC."""
            X_2719 = point_from_barycentrics(model, A, B, C, -0.16730342, 0.437479, 0.72982443, ID="X_2719", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_2744 = reflection_in_point(model, X_2719, X_3, ID="X_2744", 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_520 = eval_trilinear_point(model, A, B, C, '(cos(A))*(sin(2*B) - sin(2*C))', ID="X_520", classes=["center", "incident"])
            central_line(model, X_104, X_520, 104, 520, incident=True)
            X_107 = eval_trilinear_point(model, A, B, C, '1/(cos(A)*(sin(2*B) - sin(2*C)))', ID="X_107", 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_107, X_517, 107, 517, incident=True)
            X_72 = eval_trilinear_point(model, A, B, C, '(b + c)*cot(A)', ID="X_72", classes=["center", "incident"])
            X_1309 = eval_trilinear_point(model, A, B, C, '(csc(2*A))/(4*((sin(B))**(2) - (sin(C))**(2))*cos(B)*cos(C) + (sin(B))**(2)*cos(B) - (sin(C))**(2)*cos(C))', ID="X_1309", classes=["center", "incident"])
            central_line(model, X_72, X_1309, 72, 1309, incident=True)
            return promote_point_to_top(model, X_2744)


        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_2744 on the given reference triangle."""
            model = create_model('X_2744 = SR(X_104, X_107)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02744(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-02744.json"))
            write_center_svg(
                model_acute,
                here / "x-02744.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2744¶

X₂₇₄₄¶