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X₉₄₉¶

ISOGONAL CONJUGATE OF X₉₄₈

X₉₄₉ (ISOGONAL CONJUGATE OF X₉₄₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_949 = ISOGONAL CONJUGATE OF X_948."""

        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,
            centroid_of,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            isogonal_conjugate,
            point_from_barycentrics,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00949(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_949 = ISOGONAL CONJUGATE OF X_948 on reference triangle ABC."""
            X_948 = point_from_barycentrics(model, A, B, C, 0.23303835, 0.29498525, 0.4719764, ID="X_948", classes=["center"])
            X_949 = isogonal_conjugate(model, A, B, C, X_948, ID="X_949", classes=["selected", "target"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_41 = eval_trilinear_point(model, A, B, C, 'a**(2)*(b + c - a)', ID="X_41", classes=["center", "incident"])
            central_line(model, X_3, X_41, 3, 41, incident=True)
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_77 = eval_trilinear_point(model, A, B, C, '1/(1 + sec(A))', ID="X_77", classes=["center", "incident"])
            central_line(model, X_6, X_77, 6, 77, incident=True)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_294 = eval_trilinear_point(model, A, B, C, '((b + c - a)/(b**(2) + c**(2) - a*b - a*c))', ID="X_294", classes=["center", "incident"])
            central_line(model, X_2, X_294, 2, 294, incident=True)
            return promote_point_to_top(model, X_949)


        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_949 on the given reference triangle."""
            model = create_model('X_949 = ISOGONAL CONJUGATE OF X_948')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00949(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-00949.json"))
            write_center_svg(
                model_acute,
                here / "x-00949.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X949¶

X₉₄₉¶