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X₃₃₄₄¶

ISOGONAL CONJUGATE OF X₃₃₄₃

X₃₃₄₄ is the isogonal conjugate of X₃₃₄₃.

X₃₃₄₄ (ISOGONAL CONJUGATE OF X₃₃₄₃) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3344 = ISOGONAL CONJUGATE OF X_3343."""

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


        def construct_x_03344(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3344 = ISOGONAL CONJUGATE OF X_3343 on reference triangle ABC."""
            X_3343 = point_from_barycentrics(model, A, B, C, 0.15926582, 0.25678823, 0.58394595, ID="X_3343", classes=["center"])
            X_3344 = isogonal_conjugate(model, A, B, C, X_3343, ID="X_3344", classes=["selected", "target"])
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_1032 = point_from_barycentrics(model, A, B, C, 0.68146836, 0.48642354, -0.1678919, ID="X_1032", classes=["center", "incident"])
            central_line(model, X_2, X_1032, 2, 1032, incident=True)
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_1033 = point_from_barycentrics(model, A, B, C, -0.20250392, -0.4085329, 1.6110368, ID="X_1033", classes=["center", "incident"])
            central_line(model, X_3, X_1033, 3, 1033, incident=True)
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_3341 = point_from_barycentrics(model, A, B, C, 0.05793173, 0.086051457, 0.85601681, ID="X_3341", classes=["center", "incident"])
            central_line(model, X_9, X_3341, 9, 3341, incident=True)
            return promote_point_to_top(model, X_3344)


        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_3344 on the given reference triangle."""
            model = create_model('X_3344 = ISOGONAL CONJUGATE OF X_3343')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03344(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-03344.json"))
            write_center_svg(
                model_acute,
                here / "x-03344.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3344¶

X₃₃₄₄¶