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After the radii had been opened or shut till they nearly comprehended the angle between the stars to be observed, the adjustment was completed by means of a very fine tangent screw. With this instrument Tycho made many excellent observations during his stay at Augsburg. He began also the construction of a wooden globe about six feet in diameter.

I do not assert that the entire surface of the sea would instantaneously bubble up into insufferable flames; no, but from the nucleus of a circle, of which this vial would be the center, lurid radii of flames would gradually shoot outward, until the blazing circumference would roll in vast billows of fire, upon the uttermost shores. Not all the dripping clouds of the deluge could extinguish it.

With a hemicircle of sufficient size, one might plot all of the hundreds upon hundreds of these radii, and each would represent a distinct line, if only a heron's width apart. At the height of the evening's flight there were sometimes fifty herons in sight at once, beating steadily onward until almost overhead, when they put on brakes and dropped.

Polish this, and scratch on one side twelve equally spaced radii. At the end of each radius a small cup, made by bending a piece of strip brass 1/4 inch wide and 1/2 inch long into an arc of a circle, is soldered with its extremities on the scratch. To fix the wheel of the shaft requires the use of a third small piece of tubing, which should be turned off quite square at both ends.

When the sun approached the verge of the horizon, he was frequently seen encircled by a halo of splendour, which continued increasing till it covered a large space of the heavens: it then began apparently to shoot out from the body of the sun, in refulgent pencils, or radii, each as large as a rainbow, exhibiting, according to the rarity or density of the atmosphere, a display of brilliant or delicate tints, and of ever changing lights and shades of the most amazing beauty and variety.

When things begin to go wrong in the life of a man whose hands have held too many things, the disorder flutters through all the radii of his affairs, and presently they rattle away from the hub of his control. So it was with Jean Jacques.

Eight species of star-fish are found here, partly on the rocks, and partly at the bottom of the sea: among them, four are furnished with five radii, and the rest with six, ten, eleven, and eighteen: the latter sort, which is the largest, lives at the bottom of the sea, and the number of its radii varies from eighteen to twenty-one. Only one Ophiura was seen.

Barbicane and his two friends then observed, with the most scrupulous attention, those brilliant radii which the celebrated mountain disperses so curiously on every horizon. What was this radiating aureole? What geological phenomenon had caused those ardent beams? This question justly occupied Barbicane.

Of course our young voyageurs followed the well-known practice of the country, and lay with their feet to the fire in such a manner that, when all were placed, their bodies formed four radii of a circle, of which the fire was the centre. Marengo usually lay beside Basil, whom he looked upon as his proper master.

The correctness of those generalizations, as generalizations, is without a flaw: the equality of all the radii of a circle is true of all circles, so far as it is true of any one: but it is not exactly true of any circle: it is only nearly true; so nearly that no error of any importance in practice will be incurred by feigning it to be exactly true.