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X₂₂₀₃¶

X₂-ISOCONJUGATE OF X₃₀₆

X₂₂₀₃ (X₂-ISOCONJUGATE OF X₃₀₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2203 = X_2-ISOCONJUGATE OF X_306."""

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


        def construct_x_02203(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2203 = X_2-ISOCONJUGATE OF X_306 on reference triangle ABC."""
            X_2203 = eval_trilinear_point(model, A, B, C, 'a**(2)/((a**(2) - b**(2) - c**(2))*(b + c))', ID="X_2203", classes=["selected", "target"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_25 = eval_trilinear_point(model, A, B, C, 'sin(A)*tan(A)', ID="X_25", classes=["center", "incident"])
            central_line(model, X_6, X_25, 6, 25, incident=True)
            X_28 = eval_trilinear_point(model, A, B, C, '(tan(A))/(b + c)', ID="X_28", classes=["center", "incident"])
            X_60 = eval_trilinear_point(model, A, B, C, '1/(1 + cos(B - C))', ID="X_60", classes=["center", "incident"])
            central_line(model, X_28, X_60, 28, 60, incident=True)
            X_112 = eval_trilinear_point(model, A, B, C, 'a/(sin(2*B) - sin(2*C))', ID="X_112", classes=["center", "incident"])
            X_739 = eval_trilinear_point(model, A, B, C, '1/(a**(-2)*(b**(0) + c**(0)) - a **(-1)*(b **(-1) + c **(-1)))', ID="X_739", classes=["center", "incident"])
            central_line(model, X_112, X_739, 112, 739, incident=True)
            return promote_point_to_top(model, X_2203)


        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_2203 on the given reference triangle."""
            model = create_model('X_2203 = X_2-ISOCONJUGATE OF X_306')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02203(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-02203.json"))
            write_center_svg(
                model_acute,
                here / "x-02203.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2203¶

X₂₂₀₃¶