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X₂₆₉₁¶

SR(X₇₄, X₁₀₅)

X₂₆₉₁ = reflection of X₂₇₅₂ in X₃

X₂₆₉₁ (SR(X₇₄, X₁₀₅)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2691 = SR(X_74, X_105)."""

        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_02691(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2691 = SR(X_74, X_105) on reference triangle ABC."""
            X_30 = eval_trilinear_point(model, A, B, C, 'cos(A) - 2*cos(B)*cos(C)', ID="X_30", classes=["center"])
            X_105 = eval_trilinear_point(model, A, B, C, '1/(b**(2) + c**(2) - a*(b + c))', ID="X_105", classes=["center"])
            X_74 = eval_trilinear_point(model, A, B, C, '1/(cos(A) - 2*cos(B)*cos(C))', ID="X_74", classes=["center"])
            X_518 = eval_trilinear_point(model, A, B, C, '(a*b + a*c - b**(2) - c**(2))', ID="X_518", classes=["center"])
            central_line(model, X_30, X_105, 30, 105)
            central_line(model, X_74, X_518, 74, 518)
            X_2691 = intersect_lines(model, X_30, X_105, X_74, X_518, ID="X_2691", classes=["selected", "target"])
            X_523 = eval_trilinear_point(model, A, B, C, 'sin(B -C)', ID="X_523", classes=["center", "incident"])
            X_1292 = eval_trilinear_point(model, A, B, C, '1/((b - c)*(a**(2) + b**(2) + c**(2) - 2*a*b - 2*a*c))', ID="X_1292", classes=["center", "incident"])
            central_line(model, X_523, X_1292, 523, 1292, incident=True)
            return promote_point_to_top(model, X_2691)


        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_2691 on the given reference triangle."""
            model = create_model('X_2691 = SR(X_74, X_105)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02691(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-02691.json"))
            write_center_svg(
                model_acute,
                here / "x-02691.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2691¶

X₂₆₉₁¶