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X₈₃₃¶

o-(1, 4) CIRCUMCIRCLE POINT

X₈₃₃ (o-(1, 4) CIRCUMCIRCLE POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_833 = o-(1, 4) CIRCUMCIRCLE POINT."""

        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_00833(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_833 = o-(1, 4) CIRCUMCIRCLE POINT on reference triangle ABC."""
            X_832 = eval_trilinear_point(model, A, B, C, '(a**(0)*(b**(4) - c**(4)) + a**(3)*(b**(1) - c**(1)))', ID="X_832", classes=["center"])
            X_833 = isogonal_conjugate(model, A, B, C, X_832, ID="X_833", classes=["selected", "target"])
            X_106 = eval_trilinear_point(model, A, B, C, 'a/(2*a - b - c)', ID="X_106", classes=["center", "incident"])
            X_977 = eval_trilinear_point(model, A, B, C, '(1/(a**(3) + (b + c)*(b**(2) + c**(2))))', ID="X_977", classes=["center", "incident"])
            central_line(model, X_106, X_977, 106, 977, incident=True)
            X_759 = eval_trilinear_point(model, A, B, C, '(1/(a**(0)*(b**(3) + c**(3)) - a**(2)*(b**(1) + c**(1))))', ID="X_759", classes=["center", "incident"])
            X_1010 = eval_trilinear_point(model, A, B, C, '(b*c*(a**(2) + (b + c)**(2))/(b + c))', ID="X_1010", classes=["center", "incident"])
            central_line(model, X_759, X_1010, 759, 1010, incident=True)
            return promote_point_to_top(model, X_833)


        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_833 on the given reference triangle."""
            model = create_model('X_833 = o-(1, 4) CIRCUMCIRCLE POINT')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00833(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-00833.json"))
            write_center_svg(
                model_acute,
                here / "x-00833.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X833¶

X₈₃₃¶