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X₇₈₉¶

o-(- 3, 0) CIRCUMCIRCLE POINT

X₇₈₉ = intersection, other than A, B, C, of circumcircle and hyperbola {A, B, C,PU(6)}}

X₇₈₉ (o-(- 3, 0) CIRCUMCIRCLE POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_789 = o-(- 3, 0) 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,
            incenter_of,
            isogonal_conjugate,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00789(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_789 = o-(- 3, 0) CIRCUMCIRCLE POINT on reference triangle ABC."""
            X_788 = eval_trilinear_point(model, A, B, C, 'a**(2)*(b**(3) - c**(3))', ID="X_788", classes=["center"])
            X_789 = isogonal_conjugate(model, A, B, C, X_788, ID="X_789", classes=["selected", "target"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_717 = eval_trilinear_point(model, A, B, C, '(1/(a **(-4)*(b**(0) + c**(0)) - a **(-1)*(b **(-3) + c **(-3))))', ID="X_717", classes=["center", "incident"])
            central_line(model, X_6, X_717, 6, 717, incident=True)
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center", "incident"])
            X_731 = eval_trilinear_point(model, A, B, C, '(1/(a **(-3)*(b**(1) + c**(1)) - a**(0)*(b **(-2) + c **(-2))))', ID="X_731", classes=["center", "incident"])
            central_line(model, X_1, X_731, 1, 731, incident=True)
            X_31 = eval_trilinear_point(model, A, B, C, 'a**(2)', ID="X_31", classes=["center", "incident"])
            X_701 = eval_trilinear_point(model, A, B, C, '(1/(a **(-5)*(b **(-1) + c **(-1)) - a **(-2)*(b **(-4) + c **(-4))))', ID="X_701", classes=["center", "incident"])
            central_line(model, X_31, X_701, 31, 701, incident=True)
            return promote_point_to_top(model, X_789)


        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_789 on the given reference triangle."""
            model = create_model('X_789 = o-(- 3, 0) CIRCUMCIRCLE POINT')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00789(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-00789.json"))
            write_center_svg(
                model_acute,
                here / "x-00789.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X789¶

X₇₈₉¶