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X₂₆₁₇¶

ISOGONAL CONJUGATE OF X₂₆₁₆

X₂₆₁₇ is the isogonal conjugate of X₂₆₁₆.

X₂₆₁₇ (ISOGONAL CONJUGATE OF X₂₆₁₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2617 = ISOGONAL CONJUGATE OF X_2616."""

        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,
            incenter_of,
            isogonal_conjugate,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02617(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2617 = ISOGONAL CONJUGATE OF X_2616 on reference triangle ABC."""
            X_2616 = eval_trilinear_point(model, A, B, C, 'tan(B - C)', ID="X_2616", classes=["center"])
            X_2617 = isogonal_conjugate(model, A, B, C, X_2616, ID="X_2617", classes=["selected", "target"])
            X_59 = eval_trilinear_point(model, A, B, C, '1/(1 - cos(B - C))', ID="X_59", classes=["center", "incident"])
            X_110 = eval_trilinear_point(model, A, B, C, 'csc(B - C)', ID="X_110", classes=["center", "incident"])
            central_line(model, X_59, X_110, 59, 110, incident=True)
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center", "incident"])
            X_564 = eval_trilinear_point(model, A, B, C, 'cos(2*B - 2*C)', ID="X_564", classes=["center", "incident"])
            central_line(model, X_1, X_564, 1, 564, incident=True)
            X_162 = eval_trilinear_point(model, A, B, C, '1/(sin(2*B) - sin(2*C))', ID="X_162", classes=["center", "incident"])
            X_662 = eval_trilinear_point(model, A, B, C, '1/(cot(B) - cot(C))', ID="X_662", classes=["center", "incident"])
            central_line(model, X_162, X_662, 162, 662, incident=True)
            return promote_point_to_top(model, X_2617)


        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_2617 on the given reference triangle."""
            model = create_model('X_2617 = ISOGONAL CONJUGATE OF X_2616')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02617(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-02617.json"))
            write_center_svg(
                model_acute,
                here / "x-02617.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2617¶

X₂₆₁₇¶