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X₂₈₉¶

ISOGONAL CONJUGATE OF X₂₃₆

X₂₈₉ (ISOGONAL CONJUGATE OF X₂₃₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_289 = ISOGONAL CONJUGATE OF X_236."""

        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_00289(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_289 = ISOGONAL CONJUGATE OF X_236 on reference triangle ABC."""
            X_236 = eval_trilinear_point(model, A, B, C, '((csc(A/2))*(cos(B/2) + cos(C/2) - cos(A/2)))', ID="X_236", classes=["center"])
            X_289 = isogonal_conjugate(model, A, B, C, X_236, ID="X_289", classes=["selected", "target"])
            X_56 = eval_trilinear_point(model, A, B, C, 'a/(b + c - a)', ID="X_56", classes=["center", "incident"])
            X_266 = eval_trilinear_point(model, A, B, C, 'sin(A/2)', ID="X_266", classes=["center", "incident"])
            central_line(model, X_56, X_266, 56, 266, incident=True)
            X_258 = eval_trilinear_point(model, A, B, C, '1/(cos(B/2) + cos(C/2) - cos(A/2))', ID="X_258", classes=["center", "incident"])
            X_259 = eval_trilinear_point(model, A, B, C, 'cos(A/2)', ID="X_259", classes=["center", "incident"])
            central_line(model, X_258, X_259, 258, 259, incident=True)
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center", "incident"])
            X_363 = eval_trilinear_point(model, A, B, C, 'b/(1 + sin(B/2)) + c/(1 + sin(C/2)) - a/(1 + sin(A/2))', ID="X_363", classes=["center", "incident"])
            central_line(model, X_1, X_363, 1, 363, incident=True)
            return promote_point_to_top(model, X_289)


        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_289 on the given reference triangle."""
            model = create_model('X_289 = ISOGONAL CONJUGATE OF X_236')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00289(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-00289.json"))
            write_center_svg(
                model_acute,
                here / "x-00289.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X289¶

X₂₈₉¶