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X₁₄₁₇¶

X₁₀₆-BETH CONJUGATE OF X₁₀₆

X₁₄₁₇ (X₁₀₆-BETH CONJUGATE OF X₁₀₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1417 = X_106-BETH CONJUGATE OF X_106."""

        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,
            intersect_lines,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01417(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1417 = X_106-BETH CONJUGATE OF X_106 on reference triangle ABC."""
            X_56 = eval_trilinear_point(model, A, B, C, 'a/(b + c - a)', ID="X_56", classes=["center"])
            X_106 = eval_trilinear_point(model, A, B, C, 'a/(2*a - b - c)', ID="X_106", classes=["center"])
            X_88 = eval_trilinear_point(model, A, B, C, '1/(b + c - 2*a)', ID="X_88", classes=["center"])
            X_961 = eval_trilinear_point(model, A, B, C, '(1/((b + c - a)*(b**(2) + c**(2) + a*b + a*c)))', ID="X_961", classes=["center"])
            central_line(model, X_56, X_106, 56, 106)
            central_line(model, X_88, X_961, 88, 961)
            X_1417 = intersect_lines(model, X_56, X_106, X_88, X_961, ID="X_1417", classes=["selected", "target"])
            X_65 = eval_trilinear_point(model, A, B, C, 'cos(B) + cos(C)', ID="X_65", classes=["center", "incident"])
            X_1320 = eval_trilinear_point(model, A, B, C, '((b + c - a)/ (b + c - 2*a))', ID="X_1320", classes=["center", "incident"])
            central_line(model, X_65, X_1320, 65, 1320, incident=True)
            return promote_point_to_top(model, X_1417)


        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_1417 on the given reference triangle."""
            model = create_model('X_1417 = X_106-BETH CONJUGATE OF X_106')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01417(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-01417.json"))
            write_center_svg(
                model_acute,
                here / "x-01417.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1417¶

X₁₄₁₇¶