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X₃₈₃₈¶

X₂₂₆com(3rd EULER TRIANGLE)

X₃₈₃₈ = complement of X₄₆₄₀

X₃₈₃₈ (X₂₂₆com(3rd EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3838 = X_226com(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,
            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_03838(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3838 = X_226com(3rd EULER TRIANGLE) on reference triangle ABC."""
            X_3838 = eval_barycentric_point(model, A, B, C, '(2*b**(3) + 2*c**(3) - a**(2)*b - a**(2)*c - a*b**(2) - a*c**(2) - 2*b**(2)*c - 2*b*c**(2))', ID="X_3838", classes=["selected", "target"])
            X_226 = eval_trilinear_point(model, A, B, C, '(csc(A))*(cos(B) + cos(C))', ID="X_226", classes=["center", "incident"])
            X_518 = eval_trilinear_point(model, A, B, C, '(a*b + a*c - b**(2) - c**(2))', ID="X_518", classes=["center", "incident"])
            central_line(model, X_226, X_518, 226, 518, incident=True)
            X_30 = eval_trilinear_point(model, A, B, C, 'cos(A) - 2*cos(B)*cos(C)', ID="X_30", classes=["center", "incident"])
            X_1125 = eval_trilinear_point(model, A, B, C, '(2*a+b+c)/a', ID="X_1125", classes=["center", "incident"])
            central_line(model, X_30, X_1125, 30, 1125, incident=True)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_1155 = eval_trilinear_point(model, A, B, C, '(cos(B) + cos(C) - 2*cos(A))', ID="X_1155", classes=["center", "incident"])
            central_line(model, X_2, X_1155, 2, 1155, incident=True)
            return promote_point_to_top(model, X_3838)


        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_3838 on the given reference triangle."""
            model = create_model('X_3838 = X_226com(3rd EULER TRIANGLE)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03838(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-03838.json"))
            write_center_svg(
                model_acute,
                here / "x-03838.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3838¶

X₃₈₃₈¶