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X₃₉₀₉¶

X₃₁₂₀com[INVERSE(n(3rd EULER TRIANGLE))]

X₃₉₀₉ = anticomplement of X₁₈₁₉₁

X₃₉₀₉ (X₃₁₂₀com[INVERSE(n(3rd EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3909 = X_3120com[INVERSE(n(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,
            construct_baseline_triangle,
            create_model,
            eval_barycentric_point,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03909(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3909 = X_3120com[INVERSE(n(3rd EULER TRIANGLE))] on reference triangle ABC."""
            X_3909 = eval_barycentric_point(model, A, B, C, '(a*(a - b)*(a - c)*(b**(3) + c**(3) + a*b**(2) + a*c**(2)))', ID="X_3909", classes=["selected", "target"])
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center", "incident"])
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center", "incident"])
            central_line(model, X_100, X_109, 100, 109, incident=True)
            X_2836 = point_from_barycentrics(model, A, B, C, -0.17277369, 0.77748158, -0.6047079, ID="X_2836", classes=["center", "incident"])
            X_2895 = point_from_barycentrics(model, A, B, C, 0.49425287, 0.34252874, 0.16321839, ID="X_2895", classes=["center", "incident"])
            central_line(model, X_2836, X_2895, 2836, 2895, incident=True)
            return promote_point_to_top(model, X_3909)


        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_3909 on the given reference triangle."""
            model = create_model('X_3909 = X_3120com[INVERSE(n(3rd EULER TRIANGLE))]')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03909(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-03909.json"))
            write_center_svg(
                model_acute,
                here / "x-03909.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3909¶

X₃₉₀₉¶