E148 -- Demonstration sur le nombre des points, ou deux lignes des ordres quelconques peuvent se couper.

E148 -- Demonstration sur le nombre des points, ou deux lignes des ordres quelconques peuvent se couper

(A proof concerning the number on points in which two lines of arbitrary orders may intersect)

Summary:

This paper is a continuation of E147. Euler concludes that there are at most mn points of intersection, with some of the points of intersection possibly imaginary.

According to C. G. J. Jacobi, a treatise with this title was presented to the Berlin Academy on January 18, 1748.

Publication:

Originally published in Memoires de l'academie des sciences de Berlin 4, 1750, pp. 234-248
Opera Omnia: Series 1, Volume 26, pp. 46 - 59
According to Jacobi, the manuscript of the printed treatise can be found in the archive of the Berlin Academy.

Documents Available:

Original publication: E148
E148 can be viewed or downloaded from Digitalisierte Akademieschriften und Schriften zur Geschichte der Königlich Preußischen Akademie der Wissenschaften, which includes serial publications of the Prussian Academy of Science in the 18th and 19th Centuries.
A translation of E148 by Winifred Marshall is also available.

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