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X₉₂₇¶

ISOGONAL CONJUGATE OF X₉₂₆

X₉₂₇ (ISOGONAL CONJUGATE OF X₉₂₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_927 = ISOGONAL CONJUGATE OF X_926."""

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


        def construct_x_00927(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_927 = ISOGONAL CONJUGATE OF X_926 on reference triangle ABC."""
            X_926 = eval_trilinear_point(model, A, B, C, 'a*(a - b - c)*(b - c)*(a*b + a*c - b**(2) - c**(2))', ID="X_926", classes=["center"])
            X_927 = isogonal_conjugate(model, A, B, C, X_926, ID="X_927", classes=["selected", "target"])
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_514 = eval_trilinear_point(model, A, B, C, '(b - c)/a', ID="X_514", classes=["center", "incident"])
            central_line(model, X_101, X_514, 101, 514, incident=True)
            X_103 = eval_trilinear_point(model, A, B, C, 'a/((a - b)*cot(C) + (a - c)*cot(B))', ID="X_103", classes=["center", "incident"])
            X_516 = eval_trilinear_point(model, A, B, C, 'b*c*((a - b)*cot(C) + (a - c)*cot(B))', ID="X_516", classes=["center", "incident"])
            central_line(model, X_103, X_516, 103, 516, incident=True)
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center", "incident"])
            X_658 = eval_trilinear_point(model, A, B, C, '1/((1 + cos(A))*(cos(B) - cos(C)))', ID="X_658", classes=["center", "incident"])
            central_line(model, X_109, X_658, 109, 658, incident=True)
            return promote_point_to_top(model, X_927)


        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_927 on the given reference triangle."""
            model = create_model('X_927 = ISOGONAL CONJUGATE OF X_926')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00927(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-00927.json"))
            write_center_svg(
                model_acute,
                here / "x-00927.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X927¶

X₉₂₇¶