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X₂₈₆₂¶

SM(X₁₀₀, X₁₀₅)

X₂₈₆₂ (SM(X₁₀₀, X₁₀₅)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2862 = SM(X_100, X_105)."""

        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,
            centroid_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            intersect_lines,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02862(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2862 = SM(X_100, X_105) on reference triangle ABC."""
            X_105 = eval_trilinear_point(model, A, B, C, '1/(b**(2) + c**(2) - a*(b + c))', ID="X_105", classes=["center"])
            X_693 = eval_trilinear_point(model, A, B, C, '(b - c)/a**(2)', ID="X_693", classes=["center"])
            X_63 = eval_trilinear_point(model, A, B, C, 'cot(A)', ID="X_63", classes=["center"])
            X_813 = eval_trilinear_point(model, A, B, C, '1/(a**(-2)*(b**(1) - c**(1)) + a**(0)*(b**(-1) - c **(-1)))', ID="X_813", classes=["center"])
            central_line(model, X_105, X_693, 105, 693)
            central_line(model, X_63, X_813, 63, 813)
            X_2862 = intersect_lines(model, X_105, X_693, X_63, X_813, ID="X_2862", classes=["selected", "target"])
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_919 = point_from_barycentrics(model, A, B, C, -0.11560694, 0.83236994, 0.28323699, ID="X_919", classes=["center", "incident"])
            central_line(model, X_2, X_919, 2, 919, incident=True)
            return promote_point_to_top(model, X_2862)


        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_2862 on the given reference triangle."""
            model = create_model('X_2862 = SM(X_100, X_105)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02862(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-02862.json"))
            write_center_svg(
                model_acute,
                here / "x-02862.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2862¶

X₂₈₆₂¶