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X₃₁₂₆¶

DANNEELS PERSPECTOR FOR X₁₀₀

X₃₁₂₆ = center of hyperbola {{A, B, C,X₁₁,X₁₀₀,X₆₅₀,X₆₉₃}}

X₃₁₂₆ (DANNEELS PERSPECTOR FOR X₁₀₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3126 = DANNEELS PERSPECTOR FOR X_100."""

        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_trilinear_point,
            mittenpunkt_of,
            promote_point_to_top,
            spieker_center_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03126(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3126 = DANNEELS PERSPECTOR FOR X_100 on reference triangle ABC."""
            X_3126 = eval_trilinear_point(model, A, B, C, '((b - c)*(b**(2) + c**(2) - a*b - a*c)**(2))', ID="X_3126", classes=["selected", "target"])
            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"])
            X_120 = eval_trilinear_point(model, A, B, C, 'b*c*(2*a*b*c - (b + c)*(a**(2) + (b - c)**(2)))*(b**(2) + c**(2) - a*b -a*c)', ID="X_120", classes=["center", "incident"])
            central_line(model, X_119, X_120, 119, 120, incident=True)
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_513 = eval_trilinear_point(model, A, B, C, 'b - c', ID="X_513", classes=["center", "incident"])
            central_line(model, X_9, X_513, 9, 513, incident=True)
            X_10 = spieker_center_of(model, A, B, C, ID="X_10", classes=["center", "incident"])
            X_514 = eval_trilinear_point(model, A, B, C, '(b - c)/a', ID="X_514", classes=["center", "incident"])
            central_line(model, X_10, X_514, 10, 514, incident=True)
            return promote_point_to_top(model, X_3126)


        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_3126 on the given reference triangle."""
            model = create_model('X_3126 = DANNEELS PERSPECTOR FOR X_100')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03126(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-03126.json"))
            write_center_svg(
                model_acute,
                here / "x-03126.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3126¶

X₃₁₂₆¶