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X₂₆₉₃¶

SR(X₇₄, X₁₀₇)

X₂₆₉₃ = reflection of X₁₃₀₄ in X₃

X₂₆₉₃ (SR(X₇₄, X₁₀₇)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2693 = SR(X_74, 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,
            promote_point_to_top,
            reflection_in_point,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02693(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2693 = SR(X_74, X_107) on reference triangle ABC."""
            X_1304 = eval_trilinear_point(model, A, B, C, '(sin(A))/((tan(B) - tan(C))*(tan(B) + tan(C) - 2*tan(A)))', ID="X_1304", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_2693 = reflection_in_point(model, X_1304, X_3, ID="X_2693", classes=["selected", "target"], guide=False)
            X_30 = eval_trilinear_point(model, A, B, C, 'cos(A) - 2*cos(B)*cos(C)', ID="X_30", 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_30, X_107, 30, 107, incident=True)
            X_20 = eval_trilinear_point(model, A, B, C, 'cos(A) - cos(B)*cos(C)', ID="X_20", 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_20, X_476, 20, 476, 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_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_74, X_520, 74, 520, incident=True)
            return promote_point_to_top(model, X_2693)


        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_2693 on the given reference triangle."""
            model = create_model('X_2693 = SR(X_74, X_107)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02693(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-02693.json"))
            write_center_svg(
                model_acute,
                here / "x-02693.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2693¶

X₂₆₉₃¶