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X₃₃₄₆¶

ISOGONAL CONJUGATE OF X₁₄₉₈

X₃₃₄₆ is the isogonal conjugate of X₁₄₉₈.

X₃₃₄₆ (ISOGONAL CONJUGATE OF X₁₄₉₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3346 = ISOGONAL CONJUGATE OF X_1498."""

        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,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            orthocenter_of,
            point_from_barycentrics,
            promote_point_to_top,
            reflection_in_point,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03346(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3346 = ISOGONAL CONJUGATE OF X_1498 on reference triangle ABC."""
            X_3183 = point_from_barycentrics(model, A, B, C, -0.24902136, -0.46731562, 1.716337, ID="X_3183", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_3346 = reflection_in_point(model, X_3183, X_3, ID="X_3346", classes=["selected", "target"], guide=False)
            X_20 = eval_trilinear_point(model, A, B, C, 'cos(A) - cos(B)*cos(C)', ID="X_20", classes=["center", "incident"])
            X_394 = eval_trilinear_point(model, A, B, C, 'cos(A)*cot(A)', ID="X_394", classes=["center", "incident"])
            central_line(model, X_20, X_394, 20, 394, incident=True)
            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_4 = orthocenter_of(model, A, B, C, ID="X_4", classes=["center", "incident"])
            X_1073 = eval_trilinear_point(model, A, B, C, '((cot(A))/(cos(A) - cos(B)*cos(C)))', ID="X_1073", classes=["center", "incident"])
            central_line(model, X_4, X_1073, 4, 1073, incident=True)
            return promote_point_to_top(model, X_3346)


        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_3346 on the given reference triangle."""
            model = create_model('X_3346 = ISOGONAL CONJUGATE OF X_1498')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03346(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-03346.json"))
            write_center_svg(
                model_acute,
                here / "x-03346.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3346¶

X₃₃₄₆¶