Mathematics · 1736

Solutio problematis ad geometriam situs pertinentis

Leonhard Euler

Commentarii Academiae Scientiarum Imperialis Petropolitanae · Tomus VIII

Euler shows that no walk crosses each of the seven bridges of Königsberg exactly once, and gives the general rule.

Poster of “Solutio problematis ad geometriam situs pertinentis”: a large image at the top, the text in four columns below
Shown in the ivorygenesis theme
Print from
A2
License
Public domain
Retrieved
27 September 2026
Language
Latin
Rights holder
Leonhard Euler, 1741

Theme

Download

Every Mathematics poster, in every format and theme, as one zip from the latest release.

Print from A2: the smallest A size at which the body text is at least 8 pt.

Wallpaper

Wallpapers are drawn in your browser from the PDF of the poster: this needs JavaScript.

Edition

The paper as printed in the Commentarii Academiae Scientiarum Imperialis Petropolitanae, Tomus VIII, ad annum 1736 (Petropoli, typis Academiae, 1741), pp. 128-140, with its plate, Tab. VIII. The text comes from the diplomatic transcription of Latin Wikisource (raw wikitext of the page), read word by word against the scan of that volume in the Internet Archive, item commentariiacade08impe (Biodiversity Heritage Library, copy of the American Museum of Natural History Library), and compared with its OCR; the scan of the Euler Archive (E053, docs/originals/E053.pdf) served as a second witness. The plate is page n185 of that Internet Archive item, cropped to its frame, turned to greyscale and its paper whitened. Differences from Wikisource, all back to the print: “vtendum” (p. 128, Wikisource “vrendum”); “queat, an secus” (p. 130); “Ita si quis” and “litteris AB” (p. 130, Wikisource “Ita, si” and “litterus”); “perueniat” (p. 131); “quotcunque” and “vnicum” (p. 132); “coniicio, quae”, “numerus pontium” (p. 135, Wikisource “coniicio;” and “numeros”); “habetur ergo 8” without a period (p. 136); “asterisco noto” and “collocaui” (p. 137, Wikisource “asterico”, “colocaui”); “litteris A, B, C adscriptos simul sumtos” (p. 137, Wikisource “A, B, C etc.” and “sumptos”); “Praeterea” and “tendit” (p. 139, Wikisource “Praieterea”, “Tendit”). Kept as printed: “ABDG” for ABDC in §. 5, “iuuestigandum” (p. 135) and “asteristico” (p. 135). Normalizations: the long s is set as a round s, and the ligatures ct, st, si, ss, fi, fl and ffi as separate letters; u and v are kept as printed; “der Kneiphof”, printed in Fraktur, is set in the roman of the text; the drop cap of the first word is set as a capital P followed by “raeter”; the heading “§. 1.”, centred in the print, opens its paragraph; the marginal notes “Tabula VIII.” and “Figura 1.” to “Figura 3.” are left out (the Wikisource transcription sets the latter within the text); running heads, page numbers and signature marks are dropped, and words hyphenated at line ends are rejoined. The two tables of §. 14 and §. 15 are set as tables, their dashes as rules.

Rights

Leonhard Euler died on 18 September 1783 (Wikidata Q7604) and the paper was published in 1741: it is in the public domain in France, where the author died before 1 January 1956, and in the United States, where it was published before 1 January 1931. The Biodiversity Heritage Library gives the scanned volume (item 38573) the “Copyright Status: NOT_IN_COPYRIGHT” (page read from its capture of 16 August 2024 by the Internet Archive), as does the Internet Archive item (possible-copyright-status NOT_IN_COPYRIGHT).

Also in the collection