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X₃₄₂₉¶

X₃-VERTEX CONJUGATE OF X₁₀

X₃₄₂₉ (X₃-VERTEX CONJUGATE OF X₁₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3429 = X_3-VERTEX CONJUGATE OF X_10."""

        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,
            promote_point_to_top,
            spieker_center_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03429(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3429 = X_3-VERTEX CONJUGATE OF X_10 on reference triangle ABC."""
            X_3429 = eval_barycentric_point(model, A, B, C, '1/(a**(5) + a**(3)*b*c + a**(2)*(b + c)*(2*b**(2) - b*c + 2*c**(2)) - a*(b + c)**(2)*(b**(2) - b*c + c**(2)) - (b + c)*(2*b**(4) - b**(3)*c + 2*b**(2)*c**(2) - b*c**(3) + 2*c**(4)))', ID="X_3429", classes=["selected", "target"])
            X_10 = spieker_center_of(model, A, B, C, ID="X_10", classes=["center", "incident"])
            X_1503 = eval_trilinear_point(model, A, B, C, 'sin(A)*tan(omega)  - 2*cos(B)*cos(C)', ID="X_1503", classes=["center", "incident"])
            central_line(model, X_10, X_1503, 10, 1503, incident=True)
            return promote_point_to_top(model, X_3429)


        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_3429 on the given reference triangle."""
            model = create_model('X_3429 = X_3-VERTEX CONJUGATE OF X_10')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03429(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-03429.json"))
            write_center_svg(
                model_acute,
                here / "x-03429.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3429¶

X₃₄₂₉¶