Göttingen’s academy publishes Disquisitiones generales circa superficies curvas
In 1827 the Göttingen academy issued Gauss’s Disquisitiones generales circa superficies curvas, the memoir whose Theorema egregium showed that Gaussian curvature is invariant under bending, an intrinsic fact of the surface. In the causal graph this event strengthens Digital Learning Access, a driver that weakens Learning Poverty Rate (low- and middle-income countries) — an improving welfare path.
Read the full account
In 1827 the Göttingen academy issued Gauss’s Disquisitiones generales circa superficies curvas, the memoir whose Theorema egregium showed that Gaussian curvature is invariant under bending, an intrinsic fact of the surface. It is not a relativity paper and not a later classroom nickname. He wrote the Latin; the academy manufactured the issue. The row stores one memoir.
Context
Surveying a curved earth forces a theory of surfaces. Gauss turned that shop problem into a public theorem: you can know curvature from measurements on the surface itself. That is education — a copyable geometric fact — not a claim that 1827 already contains Einstein, Riemann’s 1854 lecture, or GPS. Riemann was a later Göttingen student after Gauss’s death in spirit of the school; he is not a co-author of 1827. Intrinsic curvature is a copyable lesson; it is not Einstein, not GPS, and not the 1829 withheld parallel-postulate book.
If a number is not in the two records named above, it is not supplied here.
Why it matters
Improving education path: a new public geometric theorem. High confidence on 1827. Modest-to-medium weight because the theorem structured a field, still not a ministry syllabus. Later relativity is reception and other authors. Held-back non-Euclidean ideas are a worsening knowledge path on another row, not this memoir. Writers/scientists: modest weights; do not nail a modern GR dataset to 1827.
Later competitions, monuments, translations, UNESCO listings, museums, and adaptations are not converted into extra lifetime acts.
Who was responsible
Contribution type and responsibility level for each recorded actor — not sole-author shorthand.
Carl Friedrich Gauss
PersonDirect responsibility
responsibility level 0.4 · verified
He wrote the 1827 surface memoir containing the Theorema egregium. The academy issued it. Complex author, not a later differential-geometry textbook writer.
What changed
Fact → Driver → Indicator. Relationship strength orders the paths; it is not the observed indicator movement.
- FactGöttingen’s academy publishes Disquisitiones generales circa superficies curvas
- strengthensDriverDigital Learning Access
- weakensIndicators (3)Learning Poverty Rate (low- and middle-income countries)
impact weight 0.4 · Effect from 8 October 1827 · verified
A printed theorem that curvature is intrinsic made a new public lesson in geometry, a modest education path, not later general relativity.
Weakens · Relationship strength 0.16 (weight 0.4 × strength 0.4)
Observed
70% of 10-year-olds · 70 above the normal line (2022)
Worse than normalTwo readings: 57% of 10-year-olds (2019) and 70% of 10-year-olds (2022).
20192022 Above normal = worse
Strengthens · Relationship strength 0.14 (weight 0.4 × strength 0.35)
Observed
472 PISA score points · 28 below the normal line (2022)
Worse than normal7 readings, 2003–2022: fell from 499 PISA score points to 472 PISA score points.
Above normal = better
Weakens · Relationship strength 0.12 (weight 0.4 × strength 0.3)
Observed
11% of primary-school-age children · 11 above the normal line (2023)
Worse than normalAbove normal = worse
Evidence
The sources behind this fact and its verification state.
- 1.Stanford Encyclopedia — nineteenth-century geometryStanford Encyclopedia of Philosophy · High credibility · verified
- 2.Göttingen Academy of Sciences and HumanitiesAkademie der Wissenschaften zu Göttingen · High credibility · verified
What the sources establish
The Göttingen academy is the issuing house of the 1827 memoir. Stanford’s nineteenth-century geometry entry independently treats Gauss’s surface theory and the Theorema egregium as a dated turning point. Official: https://www.adw-goe.de/ (opens in a new tab). Independent: https://plato.stanford.edu/entries/geometry-19th/ (opens in a new tab). The records establish 1827 publication and the intrinsic-curvature claim. They do not establish a unique later physics citation series as this act. A contradictory academy year would change the row.
Established: the 1827 academy memoir published the Theorema egregium. Not established: that Riemann or Einstein co-signed it, or that a later textbook is this issue. A showing that the theorem first appeared in another author’s 1827 book would change the row.
That reading is an impact-path choice, not a property stored on the Fact itself.
Confidence is stated on the impact path, not hidden in adjectives. Theorema egregium is not Einstein and not a later museum plaque. Mixed effects of Göttingen’s academy publishes Disquisitiones generales circa superficies curvas are separate paths.
Shared responsibility is part of Göttingen’s academy publishes Disquisitiones generales circa superficies curvas. Naming Carl Friedrich Gauss does not delete co-authors, institutions, or later transmitters. The lag from 1827-10-08 to any measured indicator is not treated as zero. Alternative explanations — weather, other armies, later statutes, or independent cultural change — remain live where the sources do not close them.
Causal path
How this event connects to drivers and indicators in the graph.
- ActorCarl Friedrich Gauss
- contributed toFactGöttingen’s academy publishes Disquisitiones generales circa superficies curvas
- strengthensDriverDigital Learning Access
- weakensIndicatorLearning Poverty Rate (low- and middle-income countries)
Cite this page
Factrail. (2026). Göttingen’s academy publishes Disquisitiones generales circa superficies curvas. Factrail. https://factrail.ai/facts/gs-theorema-egregium-1827
https://factrail.ai/facts/gs-theorema-egregium-1827
Accessed 16 October 2026.
By the Factrail desk · Method: how we source and score · Last reviewed
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