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X₂₁₂₉¶

ISOGONAL CONJUGATE OF X₂₁₂₈

X₂₁₂₉ is the isogonal conjugate of X₂₁₂₈.

X₂₁₂₉ (ISOGONAL CONJUGATE OF X₂₁₂₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2129 = ISOGONAL CONJUGATE OF X_2128."""

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


        def construct_x_02129(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2129 = ISOGONAL CONJUGATE OF X_2128 on reference triangle ABC."""
            X_2128 = eval_trilinear_point(model, A, B, C, '((b**(2) + c**(2) - a**(2))*((a**(2) + b**(2) + c**(2))**(2) - 8*b**(2)*c**(2)))', ID="X_2128", classes=["center"])
            X_2129 = isogonal_conjugate(model, A, B, C, X_2128, ID="X_2129", classes=["selected", "target"])
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center", "incident"])
            central_line(model, X_19, X_2128, 19, 2128, incident=True)
            X_1707 = eval_trilinear_point(model, A, B, C, '3*a**(2) - b**(2) - c**(2)', ID="X_1707", classes=["center", "incident"])
            X_1973 = eval_trilinear_point(model, A, B, C, 'a**(3)*cos(B)*cos(C)', ID="X_1973", classes=["center", "incident"])
            central_line(model, X_1707, X_1973, 1707, 1973, incident=True)
            return promote_point_to_top(model, X_2129)


        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_2129 on the given reference triangle."""
            model = create_model('X_2129 = ISOGONAL CONJUGATE OF X_2128')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02129(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-02129.json"))
            write_center_svg(
                model_acute,
                here / "x-02129.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2129¶

X₂₁₂₉¶