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: Traité des propriétés projectives des figures | Statement: [Jean-Victor Poncelet, notableWork, Traité des propriétés projectives des figures]

Target entity: Traité des propriétés projectives des figures
Context triple: [Jean-Victor Poncelet, notableWork, Traité des propriétés projectives des figures]

• A. On the Principles of Geometry
  "On the Principles of Geometry" is Nikolai Lobachevsky’s foundational work that introduced non-Euclidean (hyperbolic) geometry, challenging the universality of Euclid’s parallel postulate.
• B. Veblen axioms for projective geometry
  The Veblen axioms for projective geometry are a foundational set of incidence-based axioms introduced by Oswald Veblen to rigorously formalize the structure of projective spaces.
• C. Éléments de géométrie
  Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
• D. Della nuova geometria
  Della nuova geometria is a Renaissance-era mathematical treatise by philosopher Francesco Patrizi that proposes an alternative, more philosophical approach to geometry.
• E. The Foundations of Geometry
  The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Traité des propriétés projectives des figures
Target entity description: Traité des propriétés projectives des figures is a foundational 19th-century mathematical treatise that systematically develops projective geometry and helped establish it as an independent discipline.

• A. On the Principles of Geometry
  "On the Principles of Geometry" is Nikolai Lobachevsky’s foundational work that introduced non-Euclidean (hyperbolic) geometry, challenging the universality of Euclid’s parallel postulate.
• B. Veblen axioms for projective geometry
  The Veblen axioms for projective geometry are a foundational set of incidence-based axioms introduced by Oswald Veblen to rigorously formalize the structure of projective spaces.
• C. Éléments de géométrie
  Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
• D. Della nuova geometria
  Della nuova geometria is a Renaissance-era mathematical treatise by philosopher Francesco Patrizi that proposes an alternative, more philosophical approach to geometry.
• E. The Foundations of Geometry
  The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
• F. None of above. chosen