1829–1830 (serial publication) / Europe
Lobachevsky explores geometry with a different parallel postulate
Lobachevsky published a geometry exploring what follows when Euclid’s parallel postulate is replaced.
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The story
On the Principles of Geometry appeared serially in the Kazan Messenger. Its printed publication beginning in 1829 should be distinguished from an earlier 1826 presentation. Bolyai independently developed related geometry, while Gauss kept investigations largely unpublished. Later models clarified relative consistency; the 1829 work should not be described as already completing every modern logical foundation.
Connections and context
Geometry could describe more than one system of spatial rules. Later nineteenth-century work also prepared language for curved spacetime.
Dates and precision
1829–1830 (serial publication) Ongoing process
The dates describe a span of activity; the timeline uses its starting point.
Representative map location
Kazan
Kazan represents Lobachevsky’s teaching and publication setting, not the sole research route to non-Euclidean geometry.
Representative coordinates · 55.7903°, 49.1347°
A marker identifies one representative place, such as a manuscript collection, laboratory or observing site. It does not mean the work happened only there, or assign a shared discovery to one country.
Bibliography
- University of St Andrews: Nikolai Ivanovich Lobachevsky
- UNESCO: Lobachevsky’s manuscript heritage nomination
References are listed as plain bibliography titles. They support particular facts or context; a reference does not certify every interpretation in a story.