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: Euclid's common notions | Statement: [Euclid's postulates, distinguishedFrom, Euclid's common notions]

Target entity: Euclid's common notions
Context triple: [Euclid's postulates, distinguishedFrom, Euclid's common notions]

• A. Euclid's postulates
  Euclid's postulates are the foundational axioms of classical Euclidean geometry, defining basic properties of points, lines, and planes from which the rest of the geometry is logically derived.
• B. Euclid's Elements
  Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
• C. Commentary on Euclid's Elements
  Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
• D. Commentary on the Difficulties of Certain Postulates of Euclid
  Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in geometry.
• E. Hilbert's axioms
  Hilbert's axioms are a rigorous, foundational set of logical assumptions introduced by David Hilbert to provide a complete and consistent basis for Euclidean geometry.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Euclid's common notions
Target entity description: Euclid's common notions are general logical principles or axioms, such as "things equal to the same thing are equal to each other," that underpin all of Euclidean geometry and mathematics.

• A. Euclid's postulates
  Euclid's postulates are the foundational axioms of classical Euclidean geometry, defining basic properties of points, lines, and planes from which the rest of the geometry is logically derived.
• B. Euclid's Elements
  Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
• C. Commentary on Euclid's Elements
  Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
• D. Commentary on the Difficulties of Certain Postulates of Euclid
  Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in geometry.
• E. Hilbert's axioms
  Hilbert's axioms are a rigorous, foundational set of logical assumptions introduced by David Hilbert to provide a complete and consistent basis for Euclidean geometry.
• F. None of above. chosen