E693 -- De centro simulitudinis

(On the center of similitude)

Summary:

This is an introduction to fixed point theory. Euler shows how to determine the point p such that pAB and pab are similar, where AB and ab are homologous sides of two figures.

Publication:

Originally published in Nova Acta Academiae Scientarum Imperialis Petropolitinae 9, 1795, pp. 154-169
Opera Omnia: Series 1, Volume 26, pp. 276 - 285

Documents Available:

Original publication: E693
Homer White of Georgetown College has provided a translation of E693 to the Euler Archive.
White has also written a paper closely examining E693 which he has allowed the Euler Archive to publish: Leonard Euler on the Center of Similitude

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