Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: the monograph "Ellipsoidal Figures of Equilibrium" | Statement: [Chandrasekhar’s theory of ellipsoidal figures of equilibrium, documentedIn, the monograph "Ellipsoidal Figures of Equilibrium"]

Target entity: the monograph "Ellipsoidal Figures of Equilibrium"
Context triple: [Chandrasekhar’s theory of ellipsoidal figures of equilibrium, documentedIn, the monograph "Ellipsoidal Figures of Equilibrium"]

• A. Chandrasekhar’s theory of ellipsoidal figures of equilibrium
  Chandrasekhar’s theory of ellipsoidal figures of equilibrium is a foundational mathematical framework in astrophysics that analyzes the shapes, stability, and rotational properties of self-gravitating fluid masses modeled as ellipsoids.
• B. Roche–Riemann ellipsoids
  Roche–Riemann ellipsoids are a family of rotating, self-gravitating fluid equilibrium figures in astrophysics and celestial mechanics that generalize classical ellipsoidal solutions like the Jacobi ellipsoid.
• C. On Conoids and Spheroids
  "On Conoids and Spheroids" is a mathematical treatise by Archimedes in which he investigates the geometry, volumes, and surface areas of solids generated by rotating conic sections.
• D. On the Equilibrium of Planes
  On the Equilibrium of Planes is a foundational treatise by Archimedes that systematically develops the principles of statics and the law of the lever in classical mechanics.
• E. Maclaurin spheroid
  A Maclaurin spheroid is an oblate, rotationally symmetric ellipsoidal figure used in astrophysics and geophysics to model the equilibrium shape of a uniformly rotating, self-gravitating fluid body.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: the monograph "Ellipsoidal Figures of Equilibrium"
Target entity description: The monograph "Ellipsoidal Figures of Equilibrium" is a classic work in astrophysics and fluid dynamics by Subrahmanyan Chandrasekhar that rigorously analyzes the equilibrium shapes and stability of rotating, self-gravitating fluid masses.

• A. Chandrasekhar’s theory of ellipsoidal figures of equilibrium chosen
  Chandrasekhar’s theory of ellipsoidal figures of equilibrium is a foundational mathematical framework in astrophysics that analyzes the shapes, stability, and rotational properties of self-gravitating fluid masses modeled as ellipsoids.
• B. Roche–Riemann ellipsoids
  Roche–Riemann ellipsoids are a family of rotating, self-gravitating fluid equilibrium figures in astrophysics and celestial mechanics that generalize classical ellipsoidal solutions like the Jacobi ellipsoid.
• C. On Conoids and Spheroids
  "On Conoids and Spheroids" is a mathematical treatise by Archimedes in which he investigates the geometry, volumes, and surface areas of solids generated by rotating conic sections.
• D. On the Equilibrium of Planes
  On the Equilibrium of Planes is a foundational treatise by Archimedes that systematically develops the principles of statics and the law of the lever in classical mechanics.
• E. Maclaurin spheroid
  A Maclaurin spheroid is an oblate, rotationally symmetric ellipsoidal figure used in astrophysics and geophysics to model the equilibrium shape of a uniformly rotating, self-gravitating fluid body.
• F. None of above.