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X₂₆₀₇¶

CROSSDIFFERENCE OF PU(70)

X₂₆₀₇ = perspector of conic {{A, B, C,PU(71)}}

X₂₆₀₇ (CROSSDIFFERENCE OF PU(70)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2607 = CROSSDIFFERENCE OF PU(70)."""

        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_barycentric_point,
            eval_trilinear_point,
            incenter_of,
            mittenpunkt_of,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02607(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2607 = CROSSDIFFERENCE OF PU(70) on reference triangle ABC."""
            X_2607 = eval_trilinear_point(model, A, B, C, 'sin(A - B)*sin(A - C) + (sin(B - C))**(2)', ID="X_2607", classes=["selected", "target"])
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_46 = eval_trilinear_point(model, A, B, C, 'cos(B) + cos(C) - cos(A)', ID="X_46", classes=["center", "incident"])
            central_line(model, X_9, X_46, 9, 46, incident=True)
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center", "incident"])
            X_523 = eval_trilinear_point(model, A, B, C, 'sin(B -C)', ID="X_523", classes=["center", "incident"])
            central_line(model, X_1, X_523, 1, 523, incident=True)
            X_229 = point_from_barycentrics(model, A, B, C, 0.21061481, 0.29086323, 0.49852195, ID="X_229", classes=["center", "incident"])
            X_409 = eval_barycentric_point(model, A, B, C, 'a*(a + b) * (a + c) * (a**(4) - a**(3)*b + a*b**(3) - b**(4) - a**(3)*c + a**(2)*b*c + a*b**(2)*c + b**(3)*c + a*b*c**(2) + 4*b**(2)*c**(2) + a*c**(3) + b*c**(3) - c**(4))', ID="X_409", classes=["center", "incident"])
            central_line(model, X_229, X_409, 229, 409, incident=True)
            return promote_point_to_top(model, X_2607)


        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_2607 on the given reference triangle."""
            model = create_model('X_2607 = CROSSDIFFERENCE OF PU(70)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02607(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-02607.json"))
            write_center_svg(
                model_acute,
                here / "x-02607.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2607¶

X₂₆₀₇¶