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X₂₃₇₉¶

CIR(X₅₃₁)

X₂₃₇₉ = 2nd-Parry-to-ABC similarity image of X₁₆

X₂₃₇₉ (CIR(X₅₃₁)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2379 = CIR(X_531)."""

        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,
            isogonal_conjugate,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02379(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2379 = CIR(X_531) on reference triangle ABC."""
            X_531 = point_from_barycentrics(model, A, B, C, -0.19452926, 0.78400969, -0.58948043, ID="X_531", classes=["center"])
            X_2379 = isogonal_conjugate(model, A, B, C, X_531, ID="X_2379", classes=["selected", "target"])
            X_16 = eval_trilinear_point(model, A, B, C, 'sin(A-  pi  /3)', ID="X_16", classes=["center", "incident"])
            X_110 = eval_trilinear_point(model, A, B, C, 'csc(B - C)', ID="X_110", classes=["center", "incident"])
            central_line(model, X_16, X_110, 16, 110, incident=True)
            X_99 = eval_trilinear_point(model, A, B, C, 'b*c/(b**(2) - c**(2))', ID="X_99", classes=["center", "incident"])
            X_299 = eval_trilinear_point(model, A, B, C, '(csc(A))**(2)*sin(A -  pi  /3)', ID="X_299", classes=["center", "incident"])
            central_line(model, X_99, X_299, 99, 299, incident=True)
            X_13 = eval_trilinear_point(model, A, B, C, 'csc(A +  pi  /3)', ID="X_13", 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_13, X_476, 13, 476, incident=True)
            return promote_point_to_top(model, X_2379)


        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_2379 on the given reference triangle."""
            model = create_model('X_2379 = CIR(X_531)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02379(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-02379.json"))
            write_center_svg(
                model_acute,
                here / "x-02379.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2379¶

X₂₃₇₉¶