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X₂₂₁₆¶

X₂-ISOCONJUGATE OF X₅₇₀

X₂₂₁₆ (X₂-ISOCONJUGATE OF X₅₇₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2216 = X_2-ISOCONJUGATE OF X_570."""

        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,
            cevapoint,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_02216(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2216 = X_2-ISOCONJUGATE OF X_570 on reference triangle ABC."""
            X_31 = eval_trilinear_point(model, A, B, C, 'a**(2)', ID="X_31", classes=["center"])
            X_1953 = eval_trilinear_point(model, A, B, C, 'sin(2*B) + sin(2*C)', ID="X_1953", classes=["center"])
            X_2216 = cevapoint(model, A, B, C, X_31, X_1953, ID="X_2216", classes=["selected", "target"])
            X_91 = eval_trilinear_point(model, A, B, C, 'sec(2*A)', ID="X_91", classes=["center", "incident"])
            central_line(model, X_31, X_91, 31, 91, incident=True)
            X_47 = eval_trilinear_point(model, A, B, C, 'cos(2*A)', ID="X_47", classes=["center", "incident"])
            X_75 = eval_trilinear_point(model, A, B, C, '1/a**(2)', ID="X_75", classes=["center", "incident"])
            central_line(model, X_47, X_75, 47, 75, incident=True)
            X_225 = eval_trilinear_point(model, A, B, C, '(sec(A))*(cos(B) + cos(C))', ID="X_225", classes=["center", "incident"])
            X_1179 = point_from_barycentrics(model, A, B, C, 0.088343284, 0.17113976, 0.74051696, ID="X_1179", classes=["center", "incident"])
            central_line(model, X_225, X_1179, 225, 1179, incident=True)
            return promote_point_to_top(model, X_2216)


        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_2216 on the given reference triangle."""
            model = create_model('X_2216 = X_2-ISOCONJUGATE OF X_570')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02216(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-02216.json"))
            write_center_svg(
                model_acute,
                here / "x-02216.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2216¶

X₂₂₁₆¶