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X₃₉₅₉¶

X₂₁₇₆com(ORTHIC TRIANGLE)

X₃₉₅₉ = polar conjugate of isogonal conjugate of X₂₃₅₂₆

X₃₉₅₉ (X₂₁₇₆com(ORTHIC TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3959 = X_2176com(ORTHIC 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,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03959(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3959 = X_2176com(ORTHIC TRIANGLE) on reference triangle ABC."""
            X_3959 = eval_barycentric_point(model, A, B, C, '(a*(b**(3) + c**(3) - b**(2)*c - b*c**(2) + a*b*c))', ID="X_3959", classes=["selected", "target"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center", "incident"])
            central_line(model, X_6, X_19, 6, 19, incident=True)
            X_75 = eval_trilinear_point(model, A, B, C, '1/a**(2)', ID="X_75", classes=["center", "incident"])
            X_257 = eval_trilinear_point(model, A, B, C, '1/(a**(3) + a*b*c)', ID="X_257", classes=["center", "incident"])
            central_line(model, X_75, X_257, 75, 257, incident=True)
            X_85 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)/(b + c - a)', ID="X_85", classes=["center", "incident"])
            X_1086 = eval_trilinear_point(model, A, B, C, '(b*c*(b - c)**(2))', ID="X_1086", classes=["center", "incident"])
            central_line(model, X_85, X_1086, 85, 1086, incident=True)
            return promote_point_to_top(model, X_3959)


        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_3959 on the given reference triangle."""
            model = create_model('X_3959 = X_2176com(ORTHIC TRIANGLE)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03959(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-03959.json"))
            write_center_svg(
                model_acute,
                here / "x-03959.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3959¶

X₃₉₅₉¶