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X₂₇₁₉¶

SR(X₁₀₀, X₁₀₇)

X₂₇₁₉ = reflection of X₁₀₇ in line X₁ X₃

X₂₇₁₉ (SR(X₁₀₀, X₁₀₇)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2719 = SR(X_100, 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,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            intersect_lines,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02719(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2719 = SR(X_100, X_107) on reference triangle ABC."""
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center"])
            X_520 = eval_trilinear_point(model, A, B, C, '(cos(A))*(sin(2*B) - sin(2*C))', ID="X_520", classes=["center"])
            X_107 = eval_trilinear_point(model, A, B, C, '1/(cos(A)*(sin(2*B) - sin(2*C)))', ID="X_107", classes=["center"])
            X_513 = eval_trilinear_point(model, A, B, C, 'b - c', ID="X_513", classes=["center"])
            central_line(model, X_100, X_520, 100, 520)
            central_line(model, X_107, X_513, 107, 513)
            X_2719 = intersect_lines(model, X_100, X_520, X_107, X_513, ID="X_2719", classes=["selected", "target"])
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_822 = eval_trilinear_point(model, A, B, C, '(sec(B))**(2) - (sec(C))**(2)', ID="X_822", classes=["center", "incident"])
            central_line(model, X_101, X_822, 101, 822, incident=True)
            return promote_point_to_top(model, X_2719)


        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_2719 on the given reference triangle."""
            model = create_model('X_2719 = SR(X_100, X_107)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02719(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-02719.json"))
            write_center_svg(
                model_acute,
                here / "x-02719.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2719¶

X₂₇₁₉¶