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X₂₈₆₄¶

SM(X₁₀₀, X₁₁₀)

X₂₈₆₄ (SM(X₁₀₀, X₁₁₀)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2864 = SM(X_100, X_110)."""

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


        def construct_x_02864(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2864 = SM(X_100, X_110) on reference triangle ABC."""
            X_110 = eval_trilinear_point(model, A, B, C, 'csc(B - C)', ID="X_110", classes=["center"])
            X_693 = eval_trilinear_point(model, A, B, C, '(b - c)/a**(2)', ID="X_693", classes=["center"])
            X_100 = eval_trilinear_point(model, A, B, C, '1/(b - c)', ID="X_100", classes=["center"])
            X_850 = eval_trilinear_point(model, A, B, C, '(b**(2) - c**(2))/a**(3)', ID="X_850", classes=["center"])
            central_line(model, X_110, X_693, 110, 693)
            central_line(model, X_100, X_850, 100, 850)
            X_2864 = intersect_lines(model, X_110, X_693, X_100, X_850, ID="X_2864", classes=["selected", "target"])
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_1577 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)*(b**(2) - c**(2))', ID="X_1577", classes=["center", "incident"])
            central_line(model, X_101, X_1577, 101, 1577, incident=True)
            return promote_point_to_top(model, X_2864)


        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_2864 on the given reference triangle."""
            model = create_model('X_2864 = SM(X_100, X_110)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02864(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-02864.json"))
            write_center_svg(
                model_acute,
                here / "x-02864.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2864¶

X₂₈₆₄¶