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X₇₅₇¶

ISOGONAL CONJUGATE OF X₇₅₆

X₇₅₇ (ISOGONAL CONJUGATE OF X₇₅₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_757 = ISOGONAL CONJUGATE OF X_756."""

        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,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00757(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_757 = ISOGONAL CONJUGATE OF X_756 on reference triangle ABC."""
            X_756 = eval_trilinear_point(model, A, B, C, '(b + c)**(2)', ID="X_756", classes=["center"])
            X_757 = isogonal_conjugate(model, A, B, C, X_756, ID="X_757", classes=["selected", "target"])
            X_58 = eval_trilinear_point(model, A, B, C, 'a/(b + c)', ID="X_58", classes=["center", "incident"])
            X_86 = eval_trilinear_point(model, A, B, C, 'b*c/(b + c)', ID="X_86", classes=["center", "incident"])
            central_line(model, X_58, X_86, 58, 86, incident=True)
            X_171 = eval_trilinear_point(model, A, B, C, 'a**(2) + b*c', ID="X_171", classes=["center", "incident"])
            X_319 = eval_trilinear_point(model, A, B, C, '(1 + 2*cos(A))/a**(2)', ID="X_319", classes=["center", "incident"])
            central_line(model, X_171, X_319, 171, 319, incident=True)
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", 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_6, X_662, 6, 662, incident=True)
            return promote_point_to_top(model, X_757)


        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_757 on the given reference triangle."""
            model = create_model('X_757 = ISOGONAL CONJUGATE OF X_756')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00757(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-00757.json"))
            write_center_svg(
                model_acute,
                here / "x-00757.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X757¶

X₇₅₇¶