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X₂₆₂₈¶

MIDPOINT OF PU(73)

X₂₆₂₈ is the midpoint of pu(73).

X₂₆₂₈ (MIDPOINT OF PU(73)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2628 = MIDPOINT OF PU(73)."""

        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_02628(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2628 = MIDPOINT OF PU(73) on reference triangle ABC."""
            X_2628 = eval_trilinear_point(model, A, B, C, '((a*cot(B - A) + b*cot(C - B) + c*cot(A - C))*cot(C - A) + (a*cot(C - A) + b*cot(A - B) + c*cot(B - C))*cot(B - A))', ID="X_2628", classes=["selected", "target"])
            X_1109 = eval_trilinear_point(model, A, B, C, '(sin(B - C))**(2)', ID="X_1109", classes=["center", "incident"])
            X_2624 = eval_trilinear_point(model, A, B, C, 'cot(A - B) + cot(A - C)', ID="X_2624", classes=["center", "incident"])
            central_line(model, X_1109, X_2624, 1109, 2624, incident=True)
            return promote_point_to_top(model, X_2628)


        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_2628 on the given reference triangle."""
            model = create_model('X_2628 = MIDPOINT OF PU(73)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02628(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-02628.json"))
            write_center_svg(
                model_acute,
                here / "x-02628.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2628¶

X₂₆₂₈¶