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X₁₃₉₈¶

X₃₄-BETH CONJUGATE OF X₃₄

X₁₃₉₈ (X₃₄-BETH CONJUGATE OF X₃₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1398 = X_34-BETH CONJUGATE OF X_34."""

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


        def construct_x_01398(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1398 = X_34-BETH CONJUGATE OF X_34 on reference triangle ABC."""
            X_1265 = eval_trilinear_point(model, A, B, C, '((cos(A))*((csc(A/2))**(4)))', ID="X_1265", classes=["center"])
            X_1398 = isogonal_conjugate(model, A, B, C, X_1265, ID="X_1398", classes=["selected", "target"])
            X_25 = eval_trilinear_point(model, A, B, C, 'sin(A)*tan(A)', ID="X_25", classes=["center", "incident"])
            X_34 = eval_trilinear_point(model, A, B, C, '1 - sec(A)', ID="X_34", classes=["center", "incident"])
            central_line(model, X_25, X_34, 25, 34, incident=True)
            X_28 = eval_trilinear_point(model, A, B, C, '(tan(A))/(b + c)', ID="X_28", classes=["center", "incident"])
            X_279 = eval_trilinear_point(model, A, B, C, 'csc(A)*(tan(A/2))**(2)', ID="X_279", classes=["center", "incident"])
            central_line(model, X_28, X_279, 28, 279, incident=True)
            X_184 = eval_trilinear_point(model, A, B, C, 'a**(2)*cos(A)', ID="X_184", classes=["center", "incident"])
            X_221 = eval_trilinear_point(model, A, B, C, '((sin(A/2))**(2))*(cos(B) + cos(C) - cos(A) - 1)', ID="X_221", classes=["center", "incident"])
            central_line(model, X_184, X_221, 184, 221, incident=True)
            return promote_point_to_top(model, X_1398)


        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_1398 on the given reference triangle."""
            model = create_model('X_1398 = X_34-BETH CONJUGATE OF X_34')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01398(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-01398.json"))
            write_center_svg(
                model_acute,
                here / "x-01398.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1398¶

X₁₃₉₈¶