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X₂₇₉₀¶

ISOGONAL CONJUGATE OF X₂₇₀₆

X₂₇₉₀ is the isogonal conjugate of X₂₇₀₆.

X₂₇₉₀ (ISOGONAL CONJUGATE OF X₂₇₀₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2790 = ISOGONAL CONJUGATE OF X_2706."""

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


        def construct_x_02790(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2790 = ISOGONAL CONJUGATE OF X_2706 on reference triangle ABC."""
            X_2706 = point_from_barycentrics(model, A, B, C, 1.0408365, 0.2875314, -0.32836793, ID="X_2706", classes=["center"])
            X_2790 = isogonal_conjugate(model, A, B, C, X_2706, ID="X_2790", classes=["selected", "target"])
            X_25 = eval_trilinear_point(model, A, B, C, 'sin(A)*tan(A)', ID="X_25", classes=["center", "incident"])
            X_98 = eval_trilinear_point(model, A, B, C, 'sec(A +  omega  )', ID="X_98", classes=["center", "incident"])
            central_line(model, X_25, X_98, 25, 98, incident=True)
            X_53 = eval_trilinear_point(model, A, B, C, 'tan(A)*cos(B - C)', ID="X_53", classes=["center", "incident"])
            X_115 = eval_trilinear_point(model, A, B, C, 'b*c*(b**(2) - c**(2))**(2)', ID="X_115", classes=["center", "incident"])
            central_line(model, X_53, X_115, 53, 115, incident=True)
            X_114 = eval_trilinear_point(model, A, B, C, 'b*c*(b*sec(B +  omega  ) + c*sec(C +  omega  ))', ID="X_114", classes=["center", "incident"])
            X_122 = eval_trilinear_point(model, A, B, C, '(b**(2) - c**(2))**(2)*(cos(A) - cos(B)*cos(C))*(cot(A))**(2)', ID="X_122", classes=["center", "incident"])
            central_line(model, X_114, X_122, 114, 122, incident=True)
            return promote_point_to_top(model, X_2790)


        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_2790 on the given reference triangle."""
            model = create_model('X_2790 = ISOGONAL CONJUGATE OF X_2706')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02790(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-02790.json"))
            write_center_svg(
                model_acute,
                here / "x-02790.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2790¶

X₂₇₉₀¶