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X₂₃₇₀¶

CIR(X₅₆)

X₂₃₇₀ (CIR(X₅₆)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2370 = CIR(X_56)."""

        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,
            nagel_point_of,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02370(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2370 = CIR(X_56) on reference triangle ABC."""
            X_8 = nagel_point_of(model, A, B, C, ID="X_8", classes=["center"])
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center"])
            X_108 = eval_trilinear_point(model, A, B, C, 'a/(sec(B) - sec(C))', ID="X_108", classes=["center"])
            X_318 = eval_trilinear_point(model, A, B, C, '(1 + sec(A))/a**(2)', ID="X_318", classes=["center"])
            central_line(model, X_8, X_109, 8, 109)
            central_line(model, X_108, X_318, 108, 318)
            X_2370 = intersect_lines(model, X_8, X_109, X_108, X_318, ID="X_2370", classes=["selected", "target"])
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center", "incident"])
            X_341 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)*(b + c - a)**(2)', ID="X_341", classes=["center", "incident"])
            central_line(model, X_100, X_341, 100, 341, incident=True)
            return promote_point_to_top(model, X_2370)


        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_2370 on the given reference triangle."""
            model = create_model('X_2370 = CIR(X_56)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02370(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-02370.json"))
            write_center_svg(
                model_acute,
                here / "x-02370.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2370¶

X₂₃₇₀¶