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X₂₆₉₇¶

SR(X₇₄, X₁₁₂)

X₂₆₉₇ = reflection of X₉₃₅ in X₃

X₂₆₉₇ (SR(X₇₄, X₁₁₂)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2697 = SR(X_74, X_112)."""

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


        def construct_x_02697(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2697 = SR(X_74, X_112) on reference triangle ABC."""
            X_935 = eval_barycentric_point(model, A, B, C, '1/((b**(2) - c**(2))*(b**(2) + c**(2) - a**(2))*(b**(4) + c**(4) - a**(4) - b**(2)*c**(2)))', ID="X_935", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_2697 = reflection_in_point(model, X_935, X_3, ID="X_2697", classes=["selected", "target"], guide=False)
            X_23 = eval_trilinear_point(model, A, B, C, 'a*(b**(4) + c**(4) - a**(4) - b**(2)*c**(2))', ID="X_23", classes=["center", "incident"])
            X_107 = eval_trilinear_point(model, A, B, C, '1/(cos(A)*(sin(2*B) - sin(2*C)))', ID="X_107", classes=["center", "incident"])
            central_line(model, X_23, X_107, 23, 107, incident=True)
            X_30 = eval_trilinear_point(model, A, B, C, 'cos(A) - 2*cos(B)*cos(C)', ID="X_30", classes=["center", "incident"])
            X_112 = eval_trilinear_point(model, A, B, C, 'a/(sin(2*B) - sin(2*C))', ID="X_112", classes=["center", "incident"])
            central_line(model, X_30, X_112, 30, 112, incident=True)
            X_22 = eval_trilinear_point(model, A, B, C, 'a*(b**(4) + c**(4) - a**(4))', ID="X_22", classes=["center", "incident"])
            X_476 = eval_trilinear_point(model, A, B, C, '1/((1 + 2*cos(2*A))*sin(B - C))', ID="X_476", classes=["center", "incident"])
            central_line(model, X_22, X_476, 22, 476, incident=True)
            return promote_point_to_top(model, X_2697)


        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_2697 on the given reference triangle."""
            model = create_model('X_2697 = SR(X_74, X_112)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02697(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-02697.json"))
            write_center_svg(
                model_acute,
                here / "x-02697.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2697¶

X₂₆₉₇¶