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He had already proved the regression of the nodes of a satellite moving in an orbit inclined to the ecliptic. He now said that the nodes of a ring of satellites revolving round the earth's equator would consequently all regress. And if joined into a solid ring its node would regress; and it would do so, only more slowly, if encumbered by the spherical part of the earth's mass.
An instructive example illustrated in e has four groups of nodes, each, consisting of a large central node with four or five smaller ones, surrounding it, set about the rim, the conception being that of four shells joined in one vessel, with the noded apexes turned outward and the bases inward. A still more highly conventionalized form is shown in f.
The uphill and downhill of Devonshire scorns compromise or mitigation by détour and zigzag. But here geography is on a scale so far more vast, and the roadway is so far worse metalled than with us in England knotty masses of talc and nodes of sandstone cropping up at dangerous turnings that only Dante's words describe the journey:
Now, up to this moment, Saunders knew no more, than those who had just been questioning him of the particular situation of the ship, in which he floated as indifferent to the whereabouts and the winds, as men sail in the earth along its orbit, without bethinking them of parallaxes, nodes, ecliptics, and solstices.
Darco began to prowl about the room, setting chairs in place with great precision, arranging ornaments on the chimney-shelf, and settling pictures on the wall with methodical exactness, muttering meanwhile, 'Nodes. Dake nodes. I am dalking to my brivade zegredary. Nodes. Dake nodes. Paul was familiar with his ways, and waited seriously. 'But this down, said Darco, pacing and turning suddenly.
Simply, it is the fixed point of a sonorous chord, at which it divides itself, when it vibrates by aliquot parts, and produces the harmonic sounds. And do you not see how this struck chord can serve and does serve to illustrate my exposition of the back and belly more particularly the latter in their vibrations and their concentration at upper, middle, and lower nodes?
The vibrating sections are of wave-like contour; the nodes or points of apparent rest being really knots of the greatest pressure from crossing streams of molecules. Where the pressure slackens, the sections rise into loops, the curves of which show the points of least pressure.
It is susceptible of nodes or modes as far apart as hyperphrygian and mixolydian and of texts so divergent as priests haihooping round David's that is Circe's or what am I saying Ceres' altar and David's tip from the stable to his chief bassoonist about the alrightness of his almightiness. Mais nom de nom, that is another pair of trousers. Jetez la gourme. Faut que jeunesse se passe.
He discovered the third and fourth inequalities of the moon in longitude, called respectively the variation and the annual equation, also the variability of the motion of the moon's nodes and the inclination of its orbit to the ecliptic.
The apex and a few of the surrounding nodes are shown at the right, while the base or spine forms a projecting lip at the left. A coil of clay forms the apex. This is carried outward in a sinistral spiral to the noded shoulder.
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