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X₂₆₉₀¶

SR(X₇₄, X₁₀₃)

X₂₆₉₀ = reflection of X₂₆₈₈ in X₃

X₂₆₉₀ (SR(X₇₄, X₁₀₃)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2690 = SR(X_74, X_103)."""

        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_02690(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2690 = SR(X_74, X_103) on reference triangle ABC."""
            X_2688 = point_from_barycentrics(model, A, B, C, 1.0093894, 0.027995392, -0.037384793, ID="X_2688", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_2690 = reflection_in_point(model, X_2688, X_3, ID="X_2690", classes=["selected", "target"], guide=False)
            X_80 = eval_trilinear_point(model, A, B, C, '1/(1 - 2*cos(A))', ID="X_80", classes=["center", "incident"])
            X_103 = eval_trilinear_point(model, A, B, C, 'a/((a - b)*cot(C) + (a - c)*cot(B))', ID="X_103", classes=["center", "incident"])
            central_line(model, X_80, X_103, 80, 103, incident=True)
            X_74 = eval_trilinear_point(model, A, B, C, '1/(cos(A) - 2*cos(B)*cos(C))', ID="X_74", classes=["center", "incident"])
            X_516 = eval_trilinear_point(model, A, B, C, 'b*c*((a - b)*cot(C) + (a - c)*cot(B))', ID="X_516", classes=["center", "incident"])
            central_line(model, X_74, X_516, 74, 516, incident=True)
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_523 = eval_trilinear_point(model, A, B, C, 'sin(B -C)', ID="X_523", classes=["center", "incident"])
            central_line(model, X_101, X_523, 101, 523, incident=True)
            return promote_point_to_top(model, X_2690)


        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_2690 on the given reference triangle."""
            model = create_model('X_2690 = SR(X_74, X_103)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02690(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-02690.json"))
            write_center_svg(
                model_acute,
                here / "x-02690.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2690¶

X₂₆₉₀¶