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X₁₉₄₇¶

CROSSSUM OF PU(19)

X₁₉₄₇ (CROSSSUM OF PU(19)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1947 = CROSSSUM OF PU(19)."""

        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_01947(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1947 = CROSSSUM OF PU(19) on reference triangle ABC."""
            X_1947 = eval_trilinear_point(model, A, B, C, '(((cos(A))**(2) + cos(B)*cos(C))*csc(2*A))', ID="X_1947", classes=["selected", "target"])
            X_57 = eval_trilinear_point(model, A, B, C, '1/(b + c - a)', ID="X_57", classes=["center", "incident"])
            X_264 = eval_trilinear_point(model, A, B, C, 'csc(A)*csc(2*A)', ID="X_264", classes=["center", "incident"])
            central_line(model, X_57, X_264, 57, 264, incident=True)
            X_278 = eval_trilinear_point(model, A, B, C, 'sec(A)*tan(A/2)', ID="X_278", classes=["center", "incident"])
            X_330 = eval_trilinear_point(model, A, B, C, 'b*c/(a*b + a*c - b*c)', ID="X_330", classes=["center", "incident"])
            central_line(model, X_278, X_330, 278, 330, incident=True)
            X_318 = eval_trilinear_point(model, A, B, C, '(1 + sec(A))/a**(2)', ID="X_318", classes=["center", "incident"])
            X_377 = eval_trilinear_point(model, A, B, C, '(b*c*(b**(4) + c**(4) - a**(4) - 2*b**(2)*c**(2) - 2*a*b*c*(a + b + c)))', ID="X_377", classes=["center", "incident"])
            central_line(model, X_318, X_377, 318, 377, incident=True)
            return promote_point_to_top(model, X_1947)


        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_1947 on the given reference triangle."""
            model = create_model('X_1947 = CROSSSUM OF PU(19)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01947(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-01947.json"))
            write_center_svg(
                model_acute,
                here / "x-01947.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1947¶

X₁₉₄₇¶