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X₂₇₂₆¶

SR(X₁₀₁, X₁₀₆)

X₂₇₂₆ = reflection of X₂₇₃₇ in X₃

X₂₇₂₆ (SR(X₁₀₁, X₁₀₆)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2726 = SR(X_101, X_106)."""

        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_02726(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2726 = SR(X_101, X_106) on reference triangle ABC."""
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center"])
            X_238 = eval_trilinear_point(model, A, B, C, 'a**(2) - b*c', ID="X_238", classes=["center"])
            X_108 = eval_trilinear_point(model, A, B, C, 'a/(sec(B) - sec(C))', ID="X_108", classes=["center"])
            X_242 = eval_trilinear_point(model, A, B, C, '((sec(A))*((sin(A))**(2) - sin(B)*sin(C)))', ID="X_242", classes=["center"])
            central_line(model, X_109, X_238, 109, 238)
            central_line(model, X_108, X_242, 108, 242)
            X_2726 = intersect_lines(model, X_109, X_238, X_108, X_242, ID="X_2726", classes=["selected", "target"])
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_519 = eval_trilinear_point(model, A, B, C, '(2*a - b - c)/a', ID="X_519", classes=["center", "incident"])
            central_line(model, X_101, X_519, 101, 519, incident=True)
            return promote_point_to_top(model, X_2726)


        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_2726 on the given reference triangle."""
            model = create_model('X_2726 = SR(X_101, X_106)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02726(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-02726.json"))
            write_center_svg(
                model_acute,
                here / "x-02726.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2726¶

X₂₇₂₆¶