Libellus de quinque corporibus regularibus
E428020
Libellus de quinque corporibus regularibus is a 15th-century mathematical treatise by Piero della Francesca that systematically studies the five Platonic solids and their geometric properties.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Libellus de quinque corporibus regularibus canonical | 2 |
| Little Book on the Five Regular Bodies | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4284945 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Libellus de quinque corporibus regularibus Context triple: [Piero della Francesca, wrote, Libellus de quinque corporibus regularibus]
-
A.
Mysterium Cosmographicum
Mysterium Cosmographicum is Johannes Kepler’s early astronomical treatise in which he proposes a geometric model of the solar system based on nested Platonic solids to explain the spacing of the planets.
-
B.
On Conoids and Spheroids
"On Conoids and Spheroids" is a mathematical treatise by Archimedes in which he investigates the geometry, volumes, and surface areas of solids generated by rotating conic sections.
-
C.
On the Sphere and Cylinder
On the Sphere and Cylinder is a foundational mathematical treatise by Archimedes in which he develops key results in geometry, including the relationships between the surface areas and volumes of spheres and cylinders.
-
D.
Cosmographiae Introductio
Cosmographiae Introductio is a 1507 Latin cosmography book, best known for introducing and popularizing the name "America" for the newly discovered Western Hemisphere.
-
E.
Ethica, ordine geometrico demonstrata
Ethica, ordine geometrico demonstrata is Baruch Spinoza’s major philosophical work, a systematic treatise that presents his metaphysics, ethics, and theory of mind in a rigorous, geometrical style.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Libellus de quinque corporibus regularibus Target entity description: Libellus de quinque corporibus regularibus is a 15th-century mathematical treatise by Piero della Francesca that systematically studies the five Platonic solids and their geometric properties.
-
A.
Mysterium Cosmographicum
Mysterium Cosmographicum is Johannes Kepler’s early astronomical treatise in which he proposes a geometric model of the solar system based on nested Platonic solids to explain the spacing of the planets.
-
B.
On Conoids and Spheroids
"On Conoids and Spheroids" is a mathematical treatise by Archimedes in which he investigates the geometry, volumes, and surface areas of solids generated by rotating conic sections.
-
C.
On the Sphere and Cylinder
On the Sphere and Cylinder is a foundational mathematical treatise by Archimedes in which he develops key results in geometry, including the relationships between the surface areas and volumes of spheres and cylinders.
-
D.
Cosmographiae Introductio
Cosmographiae Introductio is a 1507 Latin cosmography book, best known for introducing and popularizing the name "America" for the newly discovered Western Hemisphere.
-
E.
Ethica, ordine geometrico demonstrata
Ethica, ordine geometrico demonstrata is Baruch Spinoza’s major philosophical work, a systematic treatise that presents his metaphysics, ethics, and theory of mind in a rigorous, geometrical style.
- F. None of above. chosen
Statements (31)
| Predicate | Object |
|---|---|
| instanceOf |
15th-century work
ⓘ
geometry text ⓘ mathematical treatise ⓘ |
| associatedWith | Italian Renaissance ⓘ |
| author | Piero della Francesca ⓘ |
| countryOfOrigin | Italy ⓘ |
| examines |
construction of regular polyhedra
ⓘ
proportions of regular polyhedra ⓘ symmetry of regular polyhedra ⓘ |
| field |
geometry
ⓘ
mathematics ⓘ |
| focusesOn | five Platonic solids ⓘ |
| genre | scientific treatise ⓘ |
| hasAuthorOccupation |
Piero della Francesca – mathematician
ⓘ
linked to:
Piero della Francesca
Piero della Francesca – painter ⓘ |
| historicalSignificance | early systematic study of Platonic solids in the Renaissance ⓘ |
| influenced | later Renaissance geometry ⓘ |
| language | Latin ⓘ |
| mainSubject |
Platonic solids
ⓘ
regular polyhedra ⓘ |
| relatedTo | Euclidean geometry ⓘ |
| studies |
cube
ⓘ
dodecahedron ⓘ geometric properties of regular polyhedra ⓘ icosahedron ⓘ octahedron ⓘ tetrahedron ⓘ |
| timePeriod | 15th century ⓘ |
| titleTranslation |
Little Book on the Five Regular Bodies
ⓘ
linked to:
Libellus de quinque corporibus regularibus
|
| uses |
geometric proofs
ⓘ
ratio and proportion ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Libellus de quinque corporibus regularibus Description of subject: Libellus de quinque corporibus regularibus is a 15th-century mathematical treatise by Piero della Francesca that systematically studies the five Platonic solids and their geometric properties.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
Libellus de quinque corporibus regularibus
→
titleTranslation
→
Little Book on the Five Regular Bodies
ⓘ
linked to: Libellus de quinque corporibus regularibus