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X₃₄₃₇¶

X₁₀-VERTEX CONJUGATE OF X₁₀

X₃₄₃₇ (X₁₀-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_3437 = X_10-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_trilinear_point,
            isogonal_conjugate,
            promote_point_to_top,
            spieker_center_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03437(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3437 = X_10-VERTEX CONJUGATE OF X_10 on reference triangle ABC."""
            X_1330 = eval_trilinear_point(model, A, B, C, '(b*c*(b**(2)/(a + c) + c**(2)/(a + b) - a**(2)/(b + c)))', ID="X_1330", classes=["center"])
            X_3437 = isogonal_conjugate(model, A, B, C, X_1330, ID="X_3437", classes=["selected", "target"])
            X_10 = spieker_center_of(model, A, B, C, ID="X_10", classes=["center", "incident"])
            X_199 = eval_trilinear_point(model, A, B, C, '(a*(b**(4) + c**(4) - a**(4) + (b**(2) + c**(2) - a**(2))*(b*c + c*a + a*b)))', ID="X_199", classes=["center", "incident"])
            central_line(model, X_10, X_199, 10, 199, incident=True)
            X_35 = eval_trilinear_point(model, A, B, C, '1 + 2*cos(A)', ID="X_35", classes=["center", "incident"])
            X_228 = eval_trilinear_point(model, A, B, C, '(sin(2*A))*(sin(B) + sin(C))', ID="X_228", classes=["center", "incident"])
            central_line(model, X_35, X_228, 35, 228, incident=True)
            X_184 = eval_trilinear_point(model, A, B, C, 'a**(2)*cos(A)', ID="X_184", classes=["center", "incident"])
            X_386 = eval_trilinear_point(model, A, B, C, 'a*(b**(2) + c**(2) + b*c + c*a + a*b)', ID="X_386", classes=["center", "incident"])
            central_line(model, X_184, X_386, 184, 386, incident=True)
            return promote_point_to_top(model, X_3437)


        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_3437 on the given reference triangle."""
            model = create_model('X_3437 = X_10-VERTEX CONJUGATE OF X_10')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03437(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-03437.json"))
            write_center_svg(
                model_acute,
                here / "x-03437.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3437¶

X₃₄₃₇¶