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X₂₂₂₀¶

X₂-ISOCONJUGATE OF X₅₉₆

X₂₂₂₀ (X₂-ISOCONJUGATE OF X₅₉₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2220 = X_2-ISOCONJUGATE OF X_596."""

        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,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            crosspoint,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02220(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2220 = X_2-ISOCONJUGATE OF X_596 on reference triangle ABC."""
            X_163 = eval_trilinear_point(model, A, B, C, '(sin(2*A))/(sin(2*B) - sin(2*C))', ID="X_163", classes=["center"])
            X_1252 = point_from_barycentrics(model, A, B, C, 0.30120482, 0.10843373, 0.59036145, ID="X_1252", classes=["center"])
            X_2220 = crosspoint(model, A, B, C, X_163, X_1252, ID="X_2220", classes=["selected", "target"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            central_line(model, X_3, X_6, 3, 6, incident=True)
            X_37 = eval_trilinear_point(model, A, B, C, 'b + c', ID="X_37", classes=["center", "incident"])
            X_82 = eval_trilinear_point(model, A, B, C, '1/(b**(2) + c**(2))', ID="X_82", classes=["center", "incident"])
            central_line(model, X_37, X_82, 37, 82, incident=True)
            X_31 = eval_trilinear_point(model, A, B, C, 'a**(2)', ID="X_31", classes=["center", "incident"])
            X_872 = eval_trilinear_point(model, A, B, C, '(a*(b + c))**(2)', ID="X_872", classes=["center", "incident"])
            central_line(model, X_31, X_872, 31, 872, incident=True)
            return promote_point_to_top(model, X_2220)


        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_2220 on the given reference triangle."""
            model = create_model('X_2220 = X_2-ISOCONJUGATE OF X_596')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02220(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-02220.json"))
            write_center_svg(
                model_acute,
                here / "x-02220.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2220¶

X₂₂₂₀¶