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X₃₄₆₆¶

ISOGONAL CONJUGATE OF X₃₄₆₅

X₃₄₆₆ is the isogonal conjugate of X₃₄₆₅.

X₃₄₆₆ (ISOGONAL CONJUGATE OF X₃₄₆₅) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3466 = ISOGONAL CONJUGATE OF X_3465."""

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


        def construct_x_03466(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3466 = ISOGONAL CONJUGATE OF X_3465 on reference triangle ABC."""
            X_3465 = point_from_barycentrics(model, A, B, C, 2.7525253, 2.4545455, -4.2070707, ID="X_3465", classes=["center"])
            X_3466 = isogonal_conjugate(model, A, B, C, X_3465, ID="X_3466", classes=["selected", "target"])
            X_78 = eval_trilinear_point(model, A, B, C, '1/(1 - sec(A))', ID="X_78", classes=["center", "incident"])
            X_1330 = eval_trilinear_point(model, A, B, C, '(b*c*(b**(2)/(a + c) + c**(2)/(a + b) - a**(2)/(b + c)))', ID="X_1330", classes=["center", "incident"])
            central_line(model, X_78, X_1330, 78, 1330, incident=True)
            X_30 = eval_trilinear_point(model, A, B, C, 'cos(A) - 2*cos(B)*cos(C)', ID="X_30", classes=["center", "incident"])
            X_1807 = eval_trilinear_point(model, A, B, C, '1/(2 - sec(A))', ID="X_1807", classes=["center", "incident"])
            central_line(model, X_30, X_1807, 30, 1807, incident=True)
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center", "incident"])
            X_1794 = point_from_barycentrics(model, A, B, C, 0.46882064, 0.38927507, 0.14190429, ID="X_1794", classes=["center", "incident"])
            central_line(model, X_109, X_1794, 109, 1794, incident=True)
            return promote_point_to_top(model, X_3466)


        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_3466 on the given reference triangle."""
            model = create_model('X_3466 = ISOGONAL CONJUGATE OF X_3465')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03466(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-03466.json"))
            write_center_svg(
                model_acute,
                here / "x-03466.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3466¶

X₃₄₆₆¶