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All young parts of stems are continually moving in circles or ellipses.
Their ellipses elongate and flatten again to the semblance of circles.
Stonehenge stands in a bleak, bare situation on Salisbury Plain, and in its original perfection, as nearly as can now be judged, consisted of two concentric circles and two ellipses of upright stones, surrounded by a bank and ditch, outside of which is a single upright stone and traces of a hippodrome.
It used to be supposed they were merely wanderers in space who happened to have been attracted by our sun and drawn into his system, but there are facts which go very strongly against this, and astronomers now generally believe that comets really belong to the solar system, that their proper orbits are ellipses, and that in the case of those which fly off at such an angle that they can never return they must at some time have been pulled out of their original orbit by the influence of one of the planets.
If now from these points B, O, A, there are drawn the straight lines BK, ON, AR, through the centres of the same ellipses, and if through these centres there are drawn also the diameters LD, PP, QQ, parallel to the tangents BM, OH, AS; these will be conjugate to the aforesaid BK, ON, AR. And because the three ellipses are similar and similarly disposed, and have their diameters LD, PP, QQ parallel, it is certain that their conjugate diameters BK, ON, AR, will also be parallel.
A pit was driven down into its centre in 1777, and in 1849 a trench was cut into it from the south side to the centre, but neither gave any result. It is quite possible that there are burials in the mound, whether in megalithic chambers or not. South-west of Avebury is Hakpen Hill, where there once stood two concentric ellipses of stones.
This was that man, quite alone and purely through his mental activity, discovers the laws of numbers and figures, and yet, that when he looks abroad into nature, he finds that things are obeying the same laws which he has ascertained for himself in his own mind. Man forms the idea of an ellipse, and ascertains the laws of ellipses.
Circles are wonderful things; and the science of curves holds almost everything. Rose, when do you think we shall get round again?" She held up her bit of paper as she spoke, scrawled over with intersecting circles and arcs and ellipses, against whose curves and circumferences she had written names: Marchbanks, Hadden, Goldthwaite, Holabird. "It's a mere question of centre and radius," she said.
But we go on extending our conquests over nature, and endeavour to explain all seeming deviations from these rules, and even make additions to our system which no experience can ever substantiate for example, the theory, in affinity with that of ellipses, of hyperbolic paths of comets, pursuing which, these bodies leave our solar system and, passing from sun to sun, unite the most distant parts of the infinite universe, which is held together by the same moving power.
He picks up the connecting links with difficulty, and even his most complete work is full of omissions. The defect for it is a defect is by no means so fatal in the art-value of a painting as the futile explanations so dearly beloved by the ignorant. Manet was to the end the victim of man's natural dislike of ellipses, and Mr. Walter Sickert is suffering the same fate.
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