Imagine a baton to be divided into five cylindrical bands of equal length. Jiten Asks: Doubts in problem on coloring bands on a baton. My question is, is there any reason why the lettering is different in Heath's edition compared to those derived from Simson? Was this deliberately done by Euclid? It would seem easier for the reader to keep the same lettering when referring to the same circle. If we now go to Simson 1762 and subsequent editions derived from Simson (eg Todhunter), the ordering of letters is not changed. The first circle is now referred to as CDB, and the second circle CAE. However, when proving the postulate, Euclid changes the order of the lettering when identifying the circles. In the Heath edition of Euclid, which is considered the most authentic, the first circle is labeled BCD, and the second circle ACE. The proof is straightforward, but I have a question about how Euclid identified the circles he uses in the proof. This is where Euclid constructs an equilateral triangle. I've been looking at Euclid's Elements, and I have a question about Book 1, Proposition 1. Rhody Asks: Circle lettering in Book 1, Proposition 1 of Euclid's elements
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