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X₂₉₉₄¶

CD(X₁₉)

X₂₉₉₄ = pole wrt polar circle of trilinear polar of X₁₀₆₈

X₂₉₉₄ (CD(X₁₉)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2994 = CD(X_19)."""

        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,
            centroid_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            isogonal_conjugate,
            nagel_point_of,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02994(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2994 = CD(X_19) on reference triangle ABC."""
            X_2178 = point_from_barycentrics(model, A, B, C, 0.010841284, 0.20294883, 0.78620989, ID="X_2178", classes=["center"])
            X_2994 = isogonal_conjugate(model, A, B, C, X_2178, ID="X_2994", classes=["selected", "target"])
            X_8 = nagel_point_of(model, A, B, C, ID="X_8", classes=["center", "incident"])
            X_90 = eval_trilinear_point(model, A, B, C, '1/(cos(B) + cos(C) - cos(A))', ID="X_90", classes=["center", "incident"])
            central_line(model, X_8, X_90, 8, 90, incident=True)
            X_312 = eval_trilinear_point(model, A, B, C, '(b + c - a)*b**(2)*c**(2)', ID="X_312", classes=["center", "incident"])
            X_319 = eval_trilinear_point(model, A, B, C, '(1 + 2*cos(A))/a**(2)', ID="X_319", classes=["center", "incident"])
            central_line(model, X_312, X_319, 312, 319, incident=True)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_914 = point_from_barycentrics(model, A, B, C, 4.2307692, -1.4615385, -1.7692308, ID="X_914", classes=["center", "incident"])
            central_line(model, X_2, X_914, 2, 914, incident=True)
            return promote_point_to_top(model, X_2994)


        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_2994 on the given reference triangle."""
            model = create_model('X_2994 = CD(X_19)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02994(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-02994.json"))
            write_center_svg(
                model_acute,
                here / "x-02994.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2994¶

X₂₉₉₄¶