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

[Redbook7:274][19900902:2325b]{Circles and Ellipses [continued]}[2nd September 1990]

19900902.2325

[continued]

The common factor is the point O, which is the unmoving focus; and for the circle (I[nner] C[ircle]) the only focus; and the vertical axis through O (C[-]A~). The points G~ and M~ must be equidistant and the line between them must be horizontal. The second focus must be the other side of O from C, which means that A_n is always further from O than C_n. I have an idea that there is in fact only one point C, incorporating all C_n points.

**

The shape of an O[uter] C[ircle] ellipse is determined by the relationship of the horizontal to the vertical axis, ie the ratio of their lengths;* but I have an idea that no ellipse can be smaller than the (inner) circle.

(It does not necessarily follow that speed is governed by the same rules as for planetary orbits, ie [that] the same area of any sector on O is covered in the same time.)

*[Presumably ‘shape’ here is intended to mean something more specific to this (Outer ‘Circle’) use than the whole defining property of any particular ellipse; see next entry]

**(Note Cross of Lorraine representing basic I[nner] C[ircle]/O[uter] C[ircle] pattern (ref THB&THG??)

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