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X₁₆₀¶

X₃₇-OF-TANGENTIAL-TRIANGLE

X₁₆₀ (X₃₇-OF-TANGENTIAL-TRIANGLE) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_160 = X_37-OF-TANGENTIAL-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,
            ceva_conjugate,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00160(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_160 = X_37-OF-TANGENTIAL-TRIANGLE on reference triangle ABC."""
            X_95 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)*sec(B - C)', ID="X_95", classes=["center"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center"])
            X_160 = ceva_conjugate(model, A, B, C, X_95, X_6, ID="X_160", classes=["selected", "target"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_66 = eval_trilinear_point(model, A, B, C, 'b*c/(b**(4) + c**(4) - a**(4))', ID="X_66", classes=["center", "incident"])
            central_line(model, X_3, X_66, 3, 66, incident=True)
            X_237 = eval_trilinear_point(model, A, B, C, 'a**(2)*cos(A +  omega  )', ID="X_237", classes=["center", "incident"])
            central_line(model, X_6, X_237, 6, 237, incident=True)
            X_206 = eval_trilinear_point(model, A, B, C, 'a**(3)*(b**(4) + c**(4) - a**(4))', ID="X_206", classes=["center", "incident"])
            X_57 = eval_trilinear_point(model, A, B, C, '1/(b + c - a)', ID="X_57", classes=["center", "incident"])
            central_line(model, X_206, X_57, 206, 57, incident=True)
            return promote_point_to_top(model, X_160)


        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_160 on the given reference triangle."""
            model = create_model('X_160 = X_37-OF-TANGENTIAL-TRIANGLE')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00160(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-00160.json"))
            write_center_svg(
                model_acute,
                here / "x-00160.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X160¶

X₁₆₀¶