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X₃₈₄₈¶

X₅₅₃com(3rd EULER TRIANGLE)

X₃₈₄₈ (X₅₅₃com(3rd EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3848 = X_553com(3rd EULER TRIANGLE)."""

        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,
            centroid_of,
            complement,
            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_03848(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3848 = X_553com(3rd EULER TRIANGLE) on reference triangle ABC."""
            X_3740 = eval_barycentric_point(model, A, B, C, 'a*(b**(2) + c**(2) - a*b - a*c + 4*b*c)', ID="X_3740", classes=["center"])
            X_3848 = complement(model, A, B, C, X_3740, ID="X_3848", classes=["selected", "target"])
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_210 = eval_trilinear_point(model, A, B, C, '(b + c)*(b + c - a)', ID="X_210", classes=["center", "incident"])
            central_line(model, X_2, X_210, 2, 210, incident=True)
            X_140 = eval_trilinear_point(model, A, B, C, '2*cos(A) + cos(B - C)', ID="X_140", classes=["center", "incident"])
            X_517 = eval_trilinear_point(model, A, B, C, '-1 + cos(B) + cos(C)', ID="X_517", classes=["center", "incident"])
            central_line(model, X_140, X_517, 140, 517, incident=True)
            X_165 = eval_trilinear_point(model, A, B, C, 'tan(B/2) + tan(C/2) - tan(A/2)', ID="X_165", classes=["center", "incident"])
            X_1001 = eval_trilinear_point(model, A, B, C, 'a**(2) - a*(b + c) - 2*b*c', ID="X_1001", classes=["center", "incident"])
            central_line(model, X_165, X_1001, 165, 1001, incident=True)
            return promote_point_to_top(model, X_3848)


        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_3848 on the given reference triangle."""
            model = create_model('X_3848 = X_553com(3rd EULER TRIANGLE)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03848(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-03848.json"))
            write_center_svg(
                model_acute,
                here / "x-03848.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3848¶

X₃₈₄₈¶