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X₃₃₄₂¶

ISOGONAL CONJUGATE OF X₃₃₄₁

X₃₃₄₂ is the isogonal conjugate of X₃₃₄₁.

X₃₃₄₂ (ISOGONAL CONJUGATE OF X₃₃₄₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3342 = ISOGONAL CONJUGATE OF X_3341."""

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


        def construct_x_03342(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3342 = ISOGONAL CONJUGATE OF X_3341 on reference triangle ABC."""
            X_3341 = point_from_barycentrics(model, A, B, C, 0.05793173, 0.086051457, 0.85601681, ID="X_3341", classes=["center"])
            X_3342 = isogonal_conjugate(model, A, B, C, X_3341, ID="X_3342", classes=["selected", "target"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_223 = eval_trilinear_point(model, A, B, C, '(tan(A/2))*(cos(B) + cos(C) - cos(A) - 1)', ID="X_223", classes=["center", "incident"])
            central_line(model, X_3, X_223, 3, 223, incident=True)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_271 = eval_trilinear_point(model, A, B, C, '((cot(A)*cot(A/2))/(-1 - cos(A) + cos(B) + cos(C)))', ID="X_271", classes=["center", "incident"])
            central_line(model, X_2, X_271, 2, 271, incident=True)
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_1249 = eval_trilinear_point(model, A, B, C, '(tan(A))*(cos(A) - cos(B)*cos(C))', ID="X_1249", classes=["center", "incident"])
            central_line(model, X_9, X_1249, 9, 1249, incident=True)
            return promote_point_to_top(model, X_3342)


        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_3342 on the given reference triangle."""
            model = create_model('X_3342 = ISOGONAL CONJUGATE OF X_3341')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03342(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-03342.json"))
            write_center_svg(
                model_acute,
                here / "x-03342.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3342¶

X₃₃₄₂¶