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X₂₁₈₉¶

X₂-ISOCONJUGATE OF X₂₀₁

X₂₁₈₉ = polar conjugate of X₃₄₃₈₈

X₂₁₈₉ (X₂-ISOCONJUGATE OF X₂₀₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2189 = X_2-ISOCONJUGATE OF X_201."""

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


        def construct_x_02189(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2189 = X_2-ISOCONJUGATE OF X_201 on reference triangle ABC."""
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center"])
            X_112 = eval_trilinear_point(model, A, B, C, 'a/(sin(2*B) - sin(2*C))', ID="X_112", classes=["center"])
            X_21 = eval_trilinear_point(model, A, B, C, '1/(cos(B) + cos(C))', ID="X_21", classes=["center"])
            X_270 = eval_trilinear_point(model, A, B, C, '(sec(A))/(1 + cos(B - C))', ID="X_270", classes=["center"])
            central_line(model, X_19, X_112, 19, 112)
            central_line(model, X_21, X_270, 21, 270)
            X_2189 = intersect_lines(model, X_19, X_112, X_21, X_270, ID="X_2189", classes=["selected", "target"])
            X_27 = eval_trilinear_point(model, A, B, C, '(sec(A))/(b + c)', ID="X_27", classes=["center", "incident"])
            X_272 = eval_trilinear_point(model, A, B, C, '(1/((sin(A) + sin(A - B) + sin(A - C))*(sin(B) + sin(C))))', ID="X_272", classes=["center", "incident"])
            central_line(model, X_27, X_272, 27, 272, incident=True)
            return promote_point_to_top(model, X_2189)


        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_2189 on the given reference triangle."""
            model = create_model('X_2189 = X_2-ISOCONJUGATE OF X_201')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02189(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-02189.json"))
            write_center_svg(
                model_acute,
                here / "x-02189.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2189¶

X₂₁₈₉¶