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X₂₈₆₅¶

SM(X₁₀₄, X₁₀₅)

X₂₈₆₅ (SM(X₁₀₄, X₁₀₅)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2865 = SM(X_104, 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,
            construct_baseline_triangle,
            create_model,
            intersect_lines,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02865(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2865 = SM(X_104, X_105) on reference triangle ABC."""
            X_919 = point_from_barycentrics(model, A, B, C, -0.11560694, 0.83236994, 0.28323699, ID="X_919", classes=["center"])
            X_2397 = point_from_barycentrics(model, A, B, C, -6, 1, 6, ID="X_2397", classes=["center"])
            X_883 = point_from_barycentrics(model, A, B, C, -1.5, 0.1, 2.4, ID="X_883", classes=["center"])
            X_2720 = point_from_barycentrics(model, A, B, C, -0.17241379, 0.49655172, 0.67586207, ID="X_2720", classes=["center"])
            central_line(model, X_919, X_2397, 919, 2397)
            central_line(model, X_883, X_2720, 883, 2720)
            X_2865 = intersect_lines(model, X_919, X_2397, X_883, X_2720, ID="X_2865", classes=["selected", "target"])
            return promote_point_to_top(model, X_2865)


        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_2865 on the given reference triangle."""
            model = create_model('X_2865 = SM(X_104, X_105)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02865(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-02865.json"))
            write_center_svg(
                model_acute,
                here / "x-02865.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2865¶

X₂₈₆₅¶