{Circles and Ellipses [continued (3)]}[2nd September 1990]

[Redbook7:275][19900902:2325c]{Circles and Ellipses [continued (3)]}[2nd September 1990]

19900902.2325

[continued]

As – in the C[ircles] A[nalysis] and S[ynthesis] case – the critical factor is originally the separation of A_n along the vertical axis, I suspect that this by some pre-determined ratio or similar factor(s) govern(s) the shape* in all cases; but this is only a guess. For example, if the minimum radius from O is that of the circle, this limits the shape of the ellipse. And how far towards a~ can the horizontal axis G~_nM~_n lie? Certainly not beyond it; and I presume not beyond the horizontal line j~u~, although this is also a guess (why stop there?): after all, the vertical line COa~A~_n might be capable of infinite extension away from O through a~....

*[See last previous entry, 2^nd paragraph, & diagram]

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