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X₃₀₂₆¶

10th STEVANOVIC POINT

X₃₀₂₆ (10th STEVANOVIC POINT) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3026 = 10th STEVANOVIC POINT."""

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


        def construct_x_03026(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3026 = 10th STEVANOVIC POINT on reference triangle ABC."""
            X_3026 = eval_trilinear_point(model, A, B, C, '(b*c*(b + c - a)*(b - c)**(2)*(a**(2) + a*b + a*c + 2*b*c)**(2))', ID="X_3026", classes=["selected", "target"])
            X_150 = eval_trilinear_point(model, A, B, C, '(b*c*(b**(4) + c**(4) - a**(4) + a*(b*c**(2) +c*b**(2) - b**(3) - c**(3)) - b*c*(a**(2) + b**(2) + c**(2)) + (b + c)*a**(3)))', ID="X_150", classes=["center", "incident"])
            X_388 = eval_trilinear_point(model, A, B, C, 'b*c*(a**(2) + (b + c)**(2))/(b + c - a)', ID="X_388", classes=["center", "incident"])
            central_line(model, X_150, X_388, 150, 388, incident=True)
            X_274 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)/(b + c)', ID="X_274", classes=["center", "incident"])
            X_1682 = eval_trilinear_point(model, A, B, C, '(s*cos(A/2) - r*sin(A/2))**(2)', ID="X_1682", classes=["center", "incident"])
            central_line(model, X_274, X_1682, 274, 1682, incident=True)
            X_1111 = eval_trilinear_point(model, A, B, C, '(((b - c)/a)**(2))', ID="X_1111", classes=["center", "incident"])
            X_1357 = eval_trilinear_point(model, A, B, C, 'a*(b + c - a)*(b - c)**(2)*(a**(2) - (b - c)**(2))**(2)', ID="X_1357", classes=["center", "incident"])
            central_line(model, X_1111, X_1357, 1111, 1357, incident=True)
            return promote_point_to_top(model, X_3026)


        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_3026 on the given reference triangle."""
            model = create_model('X_3026 = 10th STEVANOVIC POINT')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03026(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-03026.json"))
            write_center_svg(
                model_acute,
                here / "x-03026.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3026¶

X₃₀₂₆¶