Department
Mathematics
Document Type
Article
Publication Date
7-2018
Abstract
The original problem from Pappus was, given a circle and three collinear points outside the circle, to inscribe a triangle on the circle so that when the sides are extended they pass through the three collinear points. In Euler's version of the problem, the three points need not be collinear. Euler provided a construction of the desired inscribed triangle, followed by two corollaries for when 2, and then all 3, of the points lie infinitely far from the circle. Euler concluded with a comment about the same problem on a sphere. This paper contains an English translation of the original Latin publication by Euler.
Recommended Citation
Huffman, Cynthia J. Ph.D. and Friend, Cameron, "English Translation of Euler's "The Construction of a Certain Problem of Pappus"" (2018). University Author Reception Submissions. 8.
https://digitalcommons.pittstate.edu/uar_submissions/8
Comments
http://eulerarchive.maa.org/pages/E543.html