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X₉₁¶

ISOGONAL CONJUGATE OF X₄₇

X₉₁ (ISOGONAL CONJUGATE OF X₄₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_91 = ISOGONAL CONJUGATE OF X_47."""

        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_00091(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_91 = ISOGONAL CONJUGATE OF X_47 on reference triangle ABC."""
            X_47 = eval_trilinear_point(model, A, B, C, 'cos(2*A)', ID="X_47", classes=["center"])
            X_91 = isogonal_conjugate(model, A, B, C, X_47, ID="X_91", classes=["selected", "target"])
            X_65 = eval_trilinear_point(model, A, B, C, 'cos(B) + cos(C)', ID="X_65", classes=["center", "incident"])
            X_68 = eval_trilinear_point(model, A, B, C, 'cos(A)*sec(2*A)', ID="X_68", classes=["center", "incident"])
            central_line(model, X_65, X_68, 65, 68, incident=True)
            X_92 = eval_trilinear_point(model, A, B, C, 'csc(2*A)', ID="X_92", classes=["center", "incident"])
            central_line(model, X_47, X_92, 47, 92, incident=True)
            X_37 = eval_trilinear_point(model, A, B, C, 'b + c', ID="X_37", classes=["center", "incident"])
            X_498 = eval_trilinear_point(model, A, B, C, '1 + 2*sin(B)*sin(C)', ID="X_498", classes=["center", "incident"])
            central_line(model, X_37, X_498, 37, 498, incident=True)
            return promote_point_to_top(model, X_91)


        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_91 on the given reference triangle."""
            model = create_model('X_91 = ISOGONAL CONJUGATE OF X_47')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00091(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-00091.json"))
            write_center_svg(
                model_acute,
                here / "x-00091.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X91¶

X₉₁¶