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X₃₇₉₉¶

X₂com[INVERSE(nT(bc, c²))]

X₃₇₉₉ (X₂com[INVERSE(nT(bc, c²))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3799 = X_2com[INVERSE(nT(bc, c²))]."""

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


        def construct_x_03799(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3799 = X_2com[INVERSE(nT(bc, c²))] on reference triangle ABC."""
            X_3799 = eval_barycentric_point(model, A, B, C, '(a*(a - b)*(a - c)*(b**(2) + c**(2) + b*c))', ID="X_3799", classes=["selected", "target"])
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center", "incident"])
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            central_line(model, X_100, X_101, 100, 101, incident=True)
            X_190 = eval_trilinear_point(model, A, B, C, 'b*c/(b - c)', ID="X_190", classes=["center", "incident"])
            X_513 = eval_trilinear_point(model, A, B, C, 'b - c', ID="X_513", classes=["center", "incident"])
            central_line(model, X_190, X_513, 190, 513, incident=True)
            X_668 = eval_trilinear_point(model, A, B, C, '1/(a**(2)*(b - c))', ID="X_668", classes=["center", "incident"])
            X_891 = eval_trilinear_point(model, A, B, C, '(b - c)*(a*b + a*c - 2*b*c)', ID="X_891", classes=["center", "incident"])
            central_line(model, X_668, X_891, 668, 891, incident=True)
            return promote_point_to_top(model, X_3799)


        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_3799 on the given reference triangle."""
            model = create_model('X_3799 = X_2com[INVERSE(nT(bc, c²))]')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03799(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-03799.json"))
            write_center_svg(
                model_acute,
                here / "x-03799.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3799¶

X₃₇₉₉¶