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X₃₈₃₃¶

X₃₀₅₈com(4th EULER TRIANGLE)

X₃₈₃₃ = complement of X₁₀₁₇₆

X₃₈₃₃ (X₃₀₅₈com(4th EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3833 = X_3058com(4th 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,
            spieker_center_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03833(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3833 = X_3058com(4th EULER TRIANGLE) on reference triangle ABC."""
            X_3833 = eval_barycentric_point(model, A, B, C, '(a*(b**(3) + c**(3) - a**(2)*b - a**(2)*c - 4*b**(2)*c - 4*b*c**(2) - 4*a*b*c))', ID="X_3833", classes=["selected", "target"])
            X_116 = eval_trilinear_point(model, A, B, C, 'b*c*((b - c)**(2)*(b**(2) + b*c + c**(2) - a*b - a*c))', ID="X_116", classes=["center", "incident"])
            X_119 = eval_trilinear_point(model, A, B, C, '(csc(A))*(-1 + cos(B) + cos(C))*(sin(2*B) + sin(2*C) + 2*(-1 + cos(A))*(sin(B) + sin(C)))', ID="X_119", classes=["center", "incident"])
            central_line(model, X_116, X_119, 116, 119, incident=True)
            X_10 = spieker_center_of(model, A, B, C, ID="X_10", classes=["center", "incident"])
            X_354 = eval_trilinear_point(model, A, B, C, '(b - c)**(2) - a*b - a*c', ID="X_354", classes=["center", "incident"])
            central_line(model, X_10, X_354, 10, 354, 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)
            return promote_point_to_top(model, X_3833)


        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_3833 on the given reference triangle."""
            model = create_model('X_3833 = X_3058com(4th EULER TRIANGLE)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03833(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-03833.json"))
            write_center_svg(
                model_acute,
                here / "x-03833.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3833¶

X₃₈₃₃¶