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X₂₁₅₈¶

X₂-ISOCONJUGATE OF X₂₆

X₂₁₅₈ = isogonal conjugate of complement of X₁₈₆₆₅

X₂₁₅₈ (X₂-ISOCONJUGATE OF X₂₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2158 = X_2-ISOCONJUGATE OF X_26."""

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


        def construct_x_02158(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2158 = X_2-ISOCONJUGATE OF X_26 on reference triangle ABC."""
            X_70 = eval_trilinear_point(model, A, B, C, 'b*c/(b**(2)*cos(2*B) + c**(2)*cos(2*C) - a**(2)*cos(2*A))', ID="X_70", classes=["center"])
            X_71 = eval_trilinear_point(model, A, B, C, '(b + c)*cos(A)', ID="X_71", classes=["center"])
            X_2083 = eval_trilinear_point(model, A, B, C, '((tan(B))**(2) + (tan(C))**(2))*tan(A)', ID="X_2083", classes=["center"])
            X_2148 = eval_trilinear_point(model, A, B, C, 'a*sec(B - C)', ID="X_2148", classes=["center"])
            central_line(model, X_70, X_71, 70, 71)
            central_line(model, X_2083, X_2148, 2083, 2148)
            X_2158 = intersect_lines(model, X_70, X_71, X_2083, X_2148, ID="X_2158", classes=["selected", "target"])
            X_1288 = point_from_barycentrics(model, A, B, C, -0.081215203, 0.1407786, 0.9404366, ID="X_1288", classes=["center", "incident"])
            X_2249 = point_from_barycentrics(model, A, B, C, 0.36268412, 1.1224488, -0.48513296, ID="X_2249", classes=["center", "incident"])
            central_line(model, X_1288, X_2249, 1288, 2249, incident=True)
            return promote_point_to_top(model, X_2158)


        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_2158 on the given reference triangle."""
            model = create_model('X_2158 = X_2-ISOCONJUGATE OF X_26')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02158(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-02158.json"))
            write_center_svg(
                model_acute,
                here / "x-02158.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2158¶

X₂₁₅₈¶