X793

o-(- 3, 2) CIRCUMCIRCLE POINT

< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_792 = ODD (- 3, 2) INFINITY POINT (0.6071, 0.7827) X_793 = o-(- 3, 2) CIRCUMCIRCLE POINT (0.5083, -0.4082) A B C X792 X793 (a, b, c) = (5, 6, 7) | AB = 1

X793 (o-(- 3, 2) CIRCUMCIRCLE POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

"""GEOMETOR construction model for X_793 = o-(- 3, 2) 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 (
            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_00793(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_793 = o-(- 3, 2) CIRCUMCIRCLE POINT on reference triangle ABC."""
            X_792 = eval_trilinear_point(model, A, B, C, '(a **(-4)*(b**(2) - c**(2)) + a**(1)*(b **(-3) - c **(-3)))', ID="X_792", classes=["center"])
            X_793 = isogonal_conjugate(model, A, B, C, X_792, ID="X_793", classes=["selected", "target"])
            return promote_point_to_top(model, X_793)


        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_793 on the given reference triangle."""
            model = create_model('X_793 = o-(- 3, 2) CIRCUMCIRCLE POINT')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00793(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-00793.json"))
            write_center_svg(
                model_acute,
                here / "x-00793.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )