Die lineale Ausdehnungslehre
E969208
UNEXPLORED
Die lineale Ausdehnungslehre is Hermann Grassmann’s foundational 1844 work that introduced an early form of vector spaces and multilinear algebra, profoundly influencing modern mathematics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Die lineale Ausdehnungslehre canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T12220670 — 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: Die lineale Ausdehnungslehre Context triple: [Hermann Grassmann, notableWork, Die lineale Ausdehnungslehre]
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A.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
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B.
System der analytischen Geometrie
System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
-
C.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
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D.
Punkt und Linie zu Fläche
Punkt und Linie zu Fläche is a 1926 theoretical treatise by Wassily Kandinsky that explores the fundamental elements of visual art—points, lines, and planes—and their expressive and compositional relationships.
-
E.
On the Principles of Geometry
"On the Principles of Geometry" is Nikolai Lobachevsky’s foundational work that introduced non-Euclidean (hyperbolic) geometry, challenging the universality of Euclid’s parallel postulate.
- 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: Die lineale Ausdehnungslehre Target entity description: Die lineale Ausdehnungslehre is Hermann Grassmann’s foundational 1844 work that introduced an early form of vector spaces and multilinear algebra, profoundly influencing modern mathematics.
-
A.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
-
B.
System der analytischen Geometrie
System der analytischen Geometrie is a foundational 19th-century mathematical work by Julius Plücker that helped develop and formalize analytic geometry.
-
C.
Vorlesungen über Geometrie
Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
-
D.
Punkt und Linie zu Fläche
Punkt und Linie zu Fläche is a 1926 theoretical treatise by Wassily Kandinsky that explores the fundamental elements of visual art—points, lines, and planes—and their expressive and compositional relationships.
-
E.
On the Principles of Geometry
"On the Principles of Geometry" is Nikolai Lobachevsky’s foundational work that introduced non-Euclidean (hyperbolic) geometry, challenging the universality of Euclid’s parallel postulate.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.