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345:. It's still not clear to me how the reference relates to what you wrote. There's nothing in Hawking about sines, or not much anyway that I can find. It would be useful to have a footnote near the first intro of the interpretation from cut-the-knot, and a footnote for at least the first corrolary from Hawking, from Copernicus, etc. Let me know if you need help making footnotes; just explain to me what's from where.
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Bashmakova which I used spells out for the reader what the subtracted positive term (16) and the added negative terms (x+16x) are. This has the advantage of making the mathematics clearer for the modern reader but the disadvantage, as you point out, of moving further away from the Latin text. If you think the disadvantage outweighs the advantage, I have no objection to using a closer translation.
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Thanks for your message. Re the adding/subtracting, the Latin runs "Communis adiiciatur utrimque defectus, & à similibus auferantur similia". A translation close to the original could read "I add the negative terms found on both sides, and similarly subtract the common term". The paraphrase
21:
In the interests of possible further improvements on the page, may I humbly suggest that some careful thought be given to the slight contradiction posed by my contribution: namely that on the one hand the
Platonic sequence is said to be a 'special case' of the general formula (m^2-n^2,2mn,m^2+n^2)
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407:Re: Orphan
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