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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.
These two circulations move in opposite directions; like two wheels, when one communicates its motion to the other by the contact of their circumferences. In the middle latitudes the lower current of the principal circulation lies upon the upper current of the secondary circulation, and both move together toward the equator.
And Captain Ross forthwith illustrated on the back of a menu card the spiral shape and progress of a cyclone. He so thoroughly mystified the girl by his technical references to northern and southern hemispheres, polar directions, revolving air-currents, external circumferences, and diminished atmospheric pressures, that she was too bewildered to reiterate a desire to visit the bridge.
He would have suffered nationally, but he has now and then to suffer so still, for they cannot have the same measure of his nationality as he, and they necessarily tread upon its subtile circumferences here and there. From the very beginning of Americanism the case has been the same.
When people begin to make so very few words serve their purpose it shows that their circumferences have intersected no mere tangents now. A portion of the area of each is common to both. Forgive geometry this intrusion on the story, and accept the metaphor. "Yes, that's what it is," said Aunt Constance.
With this in mind, builders at first constructed light framework decks on large water-tight wheels or drums, having paddles on their circumferences to provide a hold on the water. These they caused to revolve by means of machinery on the deck, but soon found that the resistance offered to the barrel wheels themselves was too great.
This wave is then represented by the circumference SNR, the centre of which is A, and its semi-diameter equal to two-thirds of CB. Then if one considers in order the other pieces H of the wave AC, it appears that in the same time that the piece C reaches B they will not only have arrived at the surface AB along the straight lines HK parallel to CB, but that, in addition, they will have generated in the diaphanous substance from the centres K, partial waves, represented here by circumferences the semi-diameters of which are equal to two-thirds of the lines KM, that is to say, to two-thirds of the prolongations of HK down to the straight line BG; for these semi-diameters would have been equal to entire lengths of KM if the two transparent substances had been of the same penetrability.
This wheel was double, and between the two circumferences the seats of the passengers were hung in such a manner that in revolving they swung freely, so as to keep the heads of the people always uppermost. These seats had high backs and sides, and a sort of bar in front for the people to take hold of, otherwise there would have been great danger of their falling out.
Now if about the centres A, B, one describes the circles DK, EL, which represent the spreading of the waves which originate from these two points, and if one draws the straight line KL which touches these two circles, it is easy to see that this same line will be the common tangent to all the other circles drawn about the centres F, H, etc.; and that all the points of contact will fall within that part of this line which is comprised between the perpendiculars AK, BL. Then it will be the line KL which will terminate the movement of the particular waves originating from the points of the wave AB; and this movement will be stronger between the points KL, than anywhere else at the same instant, since an infinitude of circumferences concur to form this straight line; and consequently KL will be the propagation of the portion of wave AB, as has been said in explaining reflexion and ordinary refraction.
Or perhaps it would be more honest to say that Mr.. Marrier had suffered no inconvenience from the contretemps. His apparent gleeful zest in life had not been impaired. He was a born optimist, of an extreme type unknown beyond the circumferences of theatrical circles. "I say," he emphasized, "I've got an ideah. We ought to be photographed like that. Do you no end of good."
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