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X₁₉₅₈¶

CROSSSUM OF PU(23)

X₁₉₅₈ (CROSSSUM OF PU(23)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1958 = CROSSSUM OF PU(23)."""

        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,
            cevapoint,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01958(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1958 = CROSSSUM OF PU(23) on reference triangle ABC."""
            X_610 = eval_trilinear_point(model, A, B, C, 'tan(B) + tan(C) - tan(A)', ID="X_610", classes=["center"])
            X_1740 = eval_trilinear_point(model, A, B, C, '(a**(2)*b**(2) + a**(2)*c**(2) - b**(2)*c**(2))', ID="X_1740", classes=["center"])
            X_1958 = cevapoint(model, A, B, C, X_610, X_1740, ID="X_1958", classes=["selected", "target"])
            X_48 = eval_trilinear_point(model, A, B, C, 'tan(B) + tan(C)', ID="X_48", classes=["center", "incident"])
            X_75 = eval_trilinear_point(model, A, B, C, '1/a**(2)', ID="X_75", classes=["center", "incident"])
            central_line(model, X_48, X_75, 48, 75, incident=True)
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center", "incident"])
            X_326 = eval_trilinear_point(model, A, B, C, '(cot(A))**(2)', ID="X_326", classes=["center", "incident"])
            central_line(model, X_19, X_326, 19, 326, incident=True)
            X_63 = eval_trilinear_point(model, A, B, C, 'cot(A)', ID="X_63", classes=["center", "incident"])
            central_line(model, X_63, X_610, 63, 610, incident=True)
            return promote_point_to_top(model, X_1958)


        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_1958 on the given reference triangle."""
            model = create_model('X_1958 = CROSSSUM OF PU(23)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01958(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-01958.json"))
            write_center_svg(
                model_acute,
                here / "x-01958.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1958¶

X₁₉₅₈¶