Bernoulli's Linea Brevissima

Johann Bernoulli's work entitled In superficie quacunque curva ducere lineam inter duo puncta brevissimam ("To draw the shortest curve between two points on any curved surface") appears as article number CLXVI in Volume IV of the Opera Omnia. A footnote at the beginning of the work states that the information was communicated to Samuel Klingenstierna sometime before the end of 1728, and that Klingenstierna later wrote the notes on paper in order to preserve them. Thus the format resembles a student's lecture notes, rather than a published article.

This site contains George Heine's very rough English translation of the work, together with illustrations from the original.

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