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: Steiner inellipse | Statement: [Jakob Steiner, notableWork, Steiner inellipse]

Target entity: Steiner inellipse
Context triple: [Jakob Steiner, notableWork, Steiner inellipse]

• A. Miquel circle
  The Miquel circle is a notable circle in geometry that passes through the three points where the circumcircles of the triangles formed by choosing three vertices of a quadrilateral intersect.
• B. Soddy circle
  A Soddy circle is one of the circles in a configuration of four mutually tangent circles, central to the geometric problem described by Descartes' circle theorem.
• C. Kiepert
  Kiepert is a character in Bertolt Brecht’s early play "Drums in the Night," which explores post–World War I German society and disillusionment.
• D. nine-point circle
  The nine-point circle is a fundamental circle in triangle geometry that passes through nine significant points of a triangle, including the midpoints of its sides and the feet of its altitudes.
• E. Poncelet polygon
  A Poncelet polygon is a cyclic polygon that can be simultaneously inscribed in one conic and circumscribed about another, illustrating Poncelet’s porism in projective geometry.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Steiner inellipse
Target entity description: The Steiner inellipse is a special ellipse inscribed in a triangle that is tangent to the triangle’s sides at their midpoints and has the maximum possible area among all such inscribed ellipses.

• A. Miquel circle
  The Miquel circle is a notable circle in geometry that passes through the three points where the circumcircles of the triangles formed by choosing three vertices of a quadrilateral intersect.
• B. Soddy circle
  A Soddy circle is one of the circles in a configuration of four mutually tangent circles, central to the geometric problem described by Descartes' circle theorem.
• C. Kiepert
  Kiepert is a character in Bertolt Brecht’s early play "Drums in the Night," which explores post–World War I German society and disillusionment.
• D. nine-point circle
  The nine-point circle is a fundamental circle in triangle geometry that passes through nine significant points of a triangle, including the midpoints of its sides and the feet of its altitudes.
• E. Poncelet polygon
  A Poncelet polygon is a cyclic polygon that can be simultaneously inscribed in one conic and circumscribed about another, illustrating Poncelet’s porism in projective geometry.
• F. None of above. chosen