Triple

T21610207
Position Surface form Disambiguated ID Type / Status
Subject Jakob Steiner E533284 entity
Predicate notableWork P4 FINISHED
Object Steiner inellipse
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.
E1493311 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
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).
Input
Phrase: Steiner inellipse | Statement: [Jakob Steiner, notableWork, Steiner inellipse]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
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.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Steiner inellipse
Triple: [Jakob Steiner, notableWork, Steiner inellipse]
Generated 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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
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

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69e0c46411108190bba0d4176dffc9f3 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69ef17e7d1388190922a90cb91ec9fc4 completed April 27, 2026, 8:01 a.m.
NED1 Entity disambiguation (via context triple) batch_6a09fd3d0d9881909d04a901cf65c211 completed May 17, 2026, 5:39 p.m.
NEDg Description generation batch_6a0a0c1bb6188190966c2db0f61048f7 completed May 17, 2026, 6:42 p.m.
NED2 Entity disambiguation (via description) batch_6a0a0cb1b9d08190aa0edccd5a49b289 completed May 17, 2026, 6:45 p.m.
Created at: April 16, 2026, 6:33 p.m.