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X₃₇₃₃¶

X₆₅₆com(TANGENTIAL TRIANGLE)

X₃₇₃₃ = pole wrt circumcircle of line X₁ X₂₁

X₃₇₃₃ (X₆₅₆com(TANGENTIAL TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3733 = X_656com(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,
            construct_baseline_triangle,
            create_model,
            eval_barycentric_point,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03733(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3733 = X_656com(TANGENTIAL TRIANGLE) on reference triangle ABC."""
            X_3733 = eval_barycentric_point(model, A, B, C, 'a**(2)*(b - c)/(b + c)', ID="X_3733", classes=["selected", "target"])
            X_36 = eval_trilinear_point(model, A, B, C, '1 - 2*cos(A)', ID="X_36", classes=["center", "incident"])
            X_238 = eval_trilinear_point(model, A, B, C, 'a**(2) - b*c', ID="X_238", classes=["center", "incident"])
            central_line(model, X_36, X_238, 36, 238, incident=True)
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_798 = eval_trilinear_point(model, A, B, C, 'a**(2)*(b**(2) - c**(2))', ID="X_798", classes=["center", "incident"])
            central_line(model, X_6, X_798, 6, 798, incident=True)
            X_82 = eval_trilinear_point(model, A, B, C, '1/(b**(2) + c**(2))', ID="X_82", classes=["center", "incident"])
            X_876 = point_from_barycentrics(model, A, B, C, 0.024662513, 1.0062305, -0.030893043, ID="X_876", classes=["center", "incident"])
            central_line(model, X_82, X_876, 82, 876, incident=True)
            return promote_point_to_top(model, X_3733)


        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_3733 on the given reference triangle."""
            model = create_model('X_3733 = X_656com(TANGENTIAL TRIANGLE)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03733(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-03733.json"))
            write_center_svg(
                model_acute,
                here / "x-03733.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3733¶

X₃₇₃₃¶