Triple

T36932253
Position Surface form Disambiguated ID Type / Status
Subject nine-point circle E913509 entity
Predicate tangencyPointWithIncircle P186752 FINISHED
Object Feuerbach point
The Feuerbach point is a special point of a triangle where its nine-point circle is tangent to both the incircle and the three excircles.
 E2204703 NE FINISHED

How this triple was built (3 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: Feuerbach point | Statement: [nine-point circle, tangencyPointWithIncircle, Feuerbach point]
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: Feuerbach point
Triple: [nine-point circle, tangencyPointWithIncircle, Feuerbach point]
Generated description
The Feuerbach point is a special point of a triangle where its nine-point circle is tangent to both the incircle and the three excircles.
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: tangencyPointWithIncircle
Context triple: [nine-point circle, tangencyPointWithIncircle, Feuerbach point]
  • A. centerOfArc
    Indicates that one entity serves as the geometric center point from which a given arc is defined or drawn.
  • B. relatedTriangleCenter
    Indicates that one geometric entity is associated with a specific triangle center (such as centroid, incenter, circumcenter, etc.) of a given triangle.
  • C. cornerOfTriangle
    Indicates that the subject is a vertex (corner point) belonging to a specific triangle.
  • D. circleCondition
    Indicates that a specified condition or set of constraints holds for a circle or circular configuration within a given context.
  • E. isOnOuterCircle
    Indicates that one entity is positioned on the outer boundary or perimeter of a circular arrangement relative to another entity or reference point.
  • F. None of above. chosen

Provenance (7 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_69f76e896c988190880c130e01303dd4 completed May 3, 2026, 3:49 p.m.
NER Named-entity recognition batch_69fa0a7b00948190a257273d9968c5d7 completed May 5, 2026, 3:19 p.m.
NED1 Entity disambiguation (via context triple) batch_6a3e1639a5988190b44b9e33c4dd2f00 completed June 26, 2026, 6:03 a.m.
NEDg Description generation batch_6a3e16c86a84819085a695e70971c83b completed June 26, 2026, 6:06 a.m.
NED2 Entity disambiguation (via description) batch_6a3e1de0bf6c819085b7d2ac2759776c completed June 26, 2026, 6:36 a.m.
PD Predicate disambiguation batch_69f9fec9c9488190ae2a349651a02782 completed May 5, 2026, 2:29 p.m.
PDg Predicate description generation batch_69fa0a799b9081909bfa8293a22c4b00 completed May 5, 2026, 3:19 p.m.
Created at: May 3, 2026, 4:13 p.m.