1741 (publication; journal volume dated 1736) / Europe

Euler explains the seven bridges through connections

Euler studied how the land areas were connected and proved that no route could cross each of Königsberg’s seven bridges exactly once.

Black-and-white diagram of seven bridges and land areas labelled A, B, C and D
Later edition or manuscriptThe seven bridges of Königsberg as rendered in a later English translation, retaining the land areas and bridges of Euler’s drawing. It is not a page from the 1741 journal or a current city map.Leonhard Euler (original drawing); later English rendering · Wikimedia Commons (digital image source) · Public domain Image credit & source

The story

The bridge paper set lengths and street shapes aside in favour of connections. In modern language, all four vertices have odd degree, preventing the required route. The Euler Archive records composition in 1735 and publication in 1741; the frequently cited 1736 is the journal volume’s nominal year. The full modern language of graph theory developed later.

Connections and context

The same abstraction can represent transport, communication and computing networks, making relationships themselves objects of proof.

Dates and precision

1741 (publication; journal volume dated 1736) Documented date

Positioned by the documented year, month or day. Missing precision is not inferred.

Representative map location

St Petersburg

The marker identifies the academy and journal’s publication setting; the bridges were in Königsberg, now Kaliningrad.

Representative coordinates · 59.9343°, 30.3351°

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 the Pacific, Euler Archive: E53, Königsberg bridge problem

References are listed as plain bibliography titles. They support particular facts or context; a reference does not certify every interpretation in a story.

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