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X₂₃₃₄¶

X₂-ISOCONJUGATE OF X₁₄₄₉

X₂₃₃₄ (X₂-ISOCONJUGATE OF X₁₄₄₉) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2334 = X_2-ISOCONJUGATE OF X_1449."""

        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_02334(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2334 = X_2-ISOCONJUGATE OF X_1449 on reference triangle ABC."""
            X_8 = nagel_point_of(model, A, B, C, ID="X_8", classes=["center"])
            X_86 = eval_trilinear_point(model, A, B, C, 'b*c/(b + c)', ID="X_86", classes=["center"])
            X_42 = eval_trilinear_point(model, A, B, C, 'a*(b + c)', ID="X_42", classes=["center"])
            X_56 = eval_trilinear_point(model, A, B, C, 'a/(b + c - a)', ID="X_56", classes=["center"])
            central_line(model, X_8, X_86, 8, 86)
            central_line(model, X_42, X_56, 42, 56)
            X_2334 = intersect_lines(model, X_8, X_86, X_42, X_56, ID="X_2334", classes=["selected", "target"])
            X_55 = eval_trilinear_point(model, A, B, C, 'a*(b + c - a)', ID="X_55", classes=["center", "incident"])
            X_58 = eval_trilinear_point(model, A, B, C, 'a/(b + c)', ID="X_58", classes=["center", "incident"])
            central_line(model, X_55, X_58, 55, 58, incident=True)
            return promote_point_to_top(model, X_2334)


        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_2334 on the given reference triangle."""
            model = create_model('X_2334 = X_2-ISOCONJUGATE OF X_1449')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02334(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-02334.json"))
            write_center_svg(
                model_acute,
                here / "x-02334.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2334¶

X₂₃₃₄¶