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X₂₅₉₈¶

MIDPOINT OF PU(68)

X₂₅₉₈ is the midpoint of pu(68).

X₂₅₉₈ (MIDPOINT OF PU(68)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2598 = MIDPOINT OF PU(68)."""

        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_02598(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2598 = MIDPOINT OF PU(68) on reference triangle ABC."""
            X_2598 = eval_trilinear_point(model, A, B, C, '((a*cos(B - A) + b*cos(C - B) + c*cos(A - C))*cos(C - A) + (a*cos(C - A) + b*cos(A - B) + c*cos(B - C))*cos(B - A))', ID="X_2598", classes=["selected", "target"])
            X_654 = eval_trilinear_point(model, A, B, C, 'cos(A - B) - cos(C - A)', ID="X_654", classes=["center", "incident"])
            X_2594 = eval_trilinear_point(model, A, B, C, '(cos(C- A) + cos(B - A))', ID="X_2594", classes=["center", "incident"])
            central_line(model, X_654, X_2594, 654, 2594, incident=True)
            return promote_point_to_top(model, X_2598)


        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_2598 on the given reference triangle."""
            model = create_model('X_2598 = MIDPOINT OF PU(68)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02598(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-02598.json"))
            write_center_svg(
                model_acute,
                here / "x-02598.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2598¶

X₂₅₉₈¶