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X₃₈₈₂¶

X₂₄₈₆com[INVERSE(n(3rd EULER TRIANGLE))]

X₃₈₈₂ = anticomplement of X₁₇₁₉₇

X₃₈₈₂ (X₂₄₈₆com[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_3882 = X_2486com[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,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03882(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3882 = X_2486com[INVERSE(n(3rd EULER TRIANGLE))] on reference triangle ABC."""
            X_3882 = eval_barycentric_point(model, A, B, C, '(a*(a - b)*(a - c)*(b**(2) + c**(2) + a*b + a*c))', ID="X_3882", 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_69 = eval_trilinear_point(model, A, B, C, '(cos(A))/a**(2)', ID="X_69", classes=["center", "incident"])
            X_573 = eval_trilinear_point(model, A, B, C, 'cos(A + U)', ID="X_573", classes=["center", "incident"])
            central_line(model, X_69, X_573, 69, 573, incident=True)
            X_193 = eval_trilinear_point(model, A, B, C, '(csc(A))*(cot(B) + cot(C) - cot(A))', ID="X_193", classes=["center", "incident"])
            X_579 = eval_trilinear_point(model, A, B, C, '(a*(a**(2)*b + a**(2)*c + a*b*c - b**(3) - c**(3)))', ID="X_579", classes=["center", "incident"])
            central_line(model, X_193, X_579, 193, 579, incident=True)
            return promote_point_to_top(model, X_3882)


        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_3882 on the given reference triangle."""
            model = create_model('X_3882 = X_2486com[INVERSE(n(3rd EULER TRIANGLE))]')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03882(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-03882.json"))
            write_center_svg(
                model_acute,
                here / "x-03882.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3882¶

X₃₈₈₂¶