[Redbook8:6][19901003:1045]{Social Evolution [continued (5)]}[3rd October 1990]
.1045
‘A pattern of long-term growth may also conform to a three-stage S-curve: at the beginning of the period under consideration the change is almost imperceptibly slow, then [it] accelerates, then slackens, until it approaches a supposed upper limit.’
*
This pattern of one-directional change, if applied to cyclical change, would presumably result in relative speeds similar to those of a planet in orbit round the Sun – the end of the ellipse nearest [to] the Sun being equivalent to the C[ircles] A[nalysis] and S[ynthesis] degree C, where the speed is grestest per Kepler’s 2nd law: ‘The line segment SP connecting the sun and the planet sweeps out equal areas in equal times’.**
*– E[ncyclopaedia] B[ritannica] 27:417
**ref eg ‘Mathematic and the Unexpected’, Ivar Ekeland, [1988, University of Chicago Press,] p1
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