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X₂₇₆₈¶

SR(X₁₀₉, X₁₁₁)

X₂₇₆₈ = reflection of X₂₇₃₅ in X₃

X₂₇₆₈ (SR(X₁₀₉, X₁₁₁)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2768 = SR(X_109, X_111)."""

        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_02768(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2768 = SR(X_109, X_111) on reference triangle ABC."""
            X_2735 = point_from_barycentrics(model, A, B, C, -0.0011942247, 0.99884951, 0.0023447172, ID="X_2735", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_2768 = reflection_in_point(model, X_2735, X_3, ID="X_2768", classes=["selected", "target"], guide=False)
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center", "incident"])
            X_524 = eval_trilinear_point(model, A, B, C, '(2*a**(2) - b**(2) - c**(2))/a', ID="X_524", classes=["center", "incident"])
            central_line(model, X_109, X_524, 109, 524, incident=True)
            X_111 = eval_trilinear_point(model, A, B, C, 'a/(2*a**(2) - b**(2) - c**(2))', ID="X_111", classes=["center", "incident"])
            X_522 = eval_trilinear_point(model, A, B, C, '(cos(B) - cos(C))*(csc(A))', ID="X_522", classes=["center", "incident"])
            central_line(model, X_111, X_522, 111, 522, incident=True)
            X_333 = eval_trilinear_point(model, A, B, C, 'b*c*(b + c - a)/(b + c)', ID="X_333", classes=["center", "incident"])
            X_691 = eval_trilinear_point(model, A, B, C, 'a/((b**(2) - c**(2))*(2*a**(2) - b**(2) - c**(2)))', ID="X_691", classes=["center", "incident"])
            central_line(model, X_333, X_691, 333, 691, incident=True)
            return promote_point_to_top(model, X_2768)


        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_2768 on the given reference triangle."""
            model = create_model('X_2768 = SR(X_109, X_111)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02768(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-02768.json"))
            write_center_svg(
                model_acute,
                here / "x-02768.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2768¶

X₂₇₆₈¶