X552

POINT MAIA I

< 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_552 = POINT MAIA I (0.6112, 0.3127) A B C X552 (a, b, c) = (5, 6, 7) | AB = 1

X552 (POINT MAIA I) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

"""GEOMETOR construction model for X_552 = POINT MAIA I."""

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


        def construct_x_00552(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_552 = POINT MAIA I on reference triangle ABC."""
            X_552 = eval_trilinear_point(model, A, B, C, '1/(a*(b + c - a)*(b + c)**(2))', ID="X_552", classes=["selected", "target"])
            return promote_point_to_top(model, X_552)


        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_552 on the given reference triangle."""
            model = create_model('X_552 = POINT MAIA I')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00552(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-00552.json"))
            write_center_svg(
                model_acute,
                here / "x-00552.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )