X2145

X2-ISOCONJUGATE OF X2144

< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_292 = -HIRST INVERSE OF X(291) (1.0127, 0.0417) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_2145 = -ISOCONJUGATE OF X(2144) (1.7940, 1.8985) A B C X292 X238 X2145 (a, b, c) = (5, 6, 7) | AB = 1

X2145 (X2-ISOCONJUGATE OF X2144) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

"""GEOMETOR construction model for X_2145 = X_2-ISOCONJUGATE OF X_2144."""

        from __future__ import annotations

        from pathlib import Path

        import sympy.geometry as spg
        from geometor.model import Model

        from geometor.etc.ops import (
            construct_baseline_triangle,
            create_model,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02145(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2145 = X_2-ISOCONJUGATE OF X_2144 on reference triangle ABC."""
            X_2145 = point_from_barycentrics(model, A, B, C, -2.0212277, -0.14360275, 3.1648305, ID="X_2145", classes=["selected", "target"])
            return promote_point_to_top(model, X_2145)


        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_2145 on the given reference triangle."""
            model = create_model('X_2145 = X_2-ISOCONJUGATE OF X_2144')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02145(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-02145.json"))
            write_center_svg(
                model_acute,
                here / "x-02145.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )