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: Brahmagupta’s theorem | Statement: [Brahmagupta, knownFor, Brahmagupta’s theorem]

Target entity: Brahmagupta’s theorem
Context triple: [Brahmagupta, knownFor, Brahmagupta’s theorem]

• A. Thales’ theorem
  Thales’ theorem is a fundamental result in Euclidean geometry stating that any angle inscribed in a semicircle is a right angle.
• B. Brahmagupta–Fibonacci identity
  The Brahmagupta–Fibonacci identity is a classical algebraic formula showing that the product of two sums of two squares can itself be expressed as a sum of two squares, fundamental in number theory and the study of quadratic forms.
• C. Conway circle theorem
  The Conway circle theorem is a geometric result in triangle geometry that identifies a special circle associated with a triangle and certain constructed points, revealing notable collinearities and concyclicity relationships.
• D. Miquel point
  The Miquel point is a notable point in triangle geometry defined as the common intersection of the circumcircles of three triangles formed by choosing one point on each side of a reference triangle.
• E. Pythagorean theorem
  The Pythagorean theorem is a fundamental principle of geometry stating that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Brahmagupta’s theorem
Target entity description: Brahmagupta’s theorem is a classical result in Euclidean geometry that characterizes a special property of cyclic quadrilaterals whose diagonals are perpendicular, relating the orthocenter of the triangle formed by three vertices to the fourth vertex.

• A. Thales’ theorem
  Thales’ theorem is a fundamental result in Euclidean geometry stating that any angle inscribed in a semicircle is a right angle.
• B. Brahmagupta–Fibonacci identity
  The Brahmagupta–Fibonacci identity is a classical algebraic formula showing that the product of two sums of two squares can itself be expressed as a sum of two squares, fundamental in number theory and the study of quadratic forms.
• C. Conway circle theorem
  The Conway circle theorem is a geometric result in triangle geometry that identifies a special circle associated with a triangle and certain constructed points, revealing notable collinearities and concyclicity relationships.
• D. Miquel point
  The Miquel point is a notable point in triangle geometry defined as the common intersection of the circumcircles of three triangles formed by choosing one point on each side of a reference triangle.
• E. Pythagorean theorem
  The Pythagorean theorem is a fundamental principle of geometry stating that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
• F. None of above. chosen