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X₃₄₉₃¶

INTERSECTION OF LINES X₄X_194 AND X₃₂X_694

X₃₄₉₃ (INTERSECTION OF LINES X₄X_194 AND X₃₂X_694) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3493 = INTERSECTION OF LINES X_4X_194 AND X_32X_694."""

        from __future__ import annotations

        from pathlib import Path

        import sympy.geometry as spg
        from geometor.model import Model

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


        def construct_x_03493(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3493 = INTERSECTION OF LINES X_4X_194 AND X_32X_694 on reference triangle ABC."""
            X_3493 = eval_trilinear_point(model, A, B, C, '(a*(a**(6) - b**(6) - c**(6) + a**(2)*b**(2)*c**(2))/(a**(4) - b**(2)*c**(2)))', ID="X_3493", classes=["selected", "target"])
            return promote_point_to_top(model, X_3493)


        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_3493 on the given reference triangle."""
            model = create_model('X_3493 = INTERSECTION OF LINES X_4X_194 AND X_32X_694')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03493(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-03493.json"))
            write_center_svg(
                model_acute,
                here / "x-03493.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3493¶

X₃₄₉₃¶