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X₁₄₃₇¶

X₂₈₃-BETH CONJUGATE OF X₂₈₃

X₁₄₃₇ (X₂₈₃-BETH CONJUGATE OF X₂₈₃) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1437 = X_283-BETH CONJUGATE OF X_283."""

        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,
            cevapoint,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01437(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1437 = X_283-BETH CONJUGATE OF X_283 on reference triangle ABC."""
            X_48 = eval_trilinear_point(model, A, B, C, 'tan(B) + tan(C)', ID="X_48", classes=["center"])
            X_184 = eval_trilinear_point(model, A, B, C, 'a**(2)*cos(A)', ID="X_184", classes=["center"])
            X_1437 = cevapoint(model, A, B, C, X_48, X_184, ID="X_1437", classes=["selected", "target"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_49 = eval_trilinear_point(model, A, B, C, 'cos(3*A)', ID="X_49", classes=["center", "incident"])
            central_line(model, X_3, X_49, 3, 49, incident=True)
            X_28 = eval_trilinear_point(model, A, B, C, '(tan(A))/(b + c)', ID="X_28", classes=["center", "incident"])
            X_60 = eval_trilinear_point(model, A, B, C, '1/(1 + cos(B - C))', ID="X_60", classes=["center", "incident"])
            central_line(model, X_28, X_60, 28, 60, incident=True)
            X_56 = eval_trilinear_point(model, A, B, C, 'a/(b + c - a)', ID="X_56", classes=["center", "incident"])
            X_58 = eval_trilinear_point(model, A, B, C, 'a/(b + c)', ID="X_58", classes=["center", "incident"])
            central_line(model, X_56, X_58, 56, 58, incident=True)
            return promote_point_to_top(model, X_1437)


        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_1437 on the given reference triangle."""
            model = create_model('X_1437 = X_283-BETH CONJUGATE OF X_283')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01437(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-01437.json"))
            write_center_svg(
                model_acute,
                here / "x-01437.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1437¶

X₁₄₃₇¶