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Updated: April 30, 2025
If the reader remembers the explanation given at page 109,* that the comparative want of rain on the Kalahari Desert is caused by the mass of air losing its humidity as it passes up and glides over the subtending ridge, and will turn to the map, he may perceive that the same cause is in operation in an intense degree by the mountains of Abyssinia to render the region about Darfur still more arid, and that the flanking ranges mentioned lie much nearer the equator than those which rob the Kalahari of humidity.
The flat, or nearly flat, tops of the subtending and transverse ridges of this central country give rise to a great many: I crossed twenty-nine, a few of the feeders of Bangweolo, in thirty miles of latitude in one direction.
FORTY-SEVENTH PROBLEM. The forty-seventh problem of the first book of Euclid is, that in any right-angled triangle the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle.
In the Eswá bed, where the gulch is choked by two mounds or hillocks, appear the usual 'women's washings, shallow pits like the Brazilian catas, whence the pay-dirt has been extracted. On the right bank, subtending the bed, their husbands have sunk the usual chimney-hole to scratch quartz from the bounding-wall of the reef.
The road from Florence, after passing our big iron gate on the east, continued on westward, beneath the tower and the parapet of the grounds; beyond extended the wide valley of the Arno, with mountains hemming it in, and to the left of the mountains, every evening, Donati's comet shone, with a golden sweep of tail subtending twenty degrees along the horizon.
Having sent the coolies forward, with instructions to halt and camp on this side of the Kongra Lama pass, we followed them, taking the route by Palung, and thence over the hills to the Lachen, to the east of which we descended, and further up its valley joined the advanced party in a rocky glen, called Sitong, an advantageous camping ground, from being sheltered by rocks which ward off the keen blasts: its elevation is 15,370 feet above the sea, and the magnificent west cliff of Kinchinjhow towers over it not a mile distant, bearing due east, and subtending an angle of 24.3 degrees.
The realisation of the absolute, unalterable fact that in every right-angled triangle the square of the side subtending it is equal to the squares of the sides containing it, filled me with the kind of joy and glory that one feels on reading for the first time Keats's Ode to a Nightingale or one of the great passages in Shakespeare. I saw the genius of delight unfold his purple wing.
S., but that there is an elevated partition there, and that the southing and northing of the southeasters and northeasters probably cause a confluence of the two great atmospheric currents, he will perceive an accumulation of humidity on the flanks and crown of the partition, instead of, as elsewhere, opposite the Kalahari and Darfur, a deposition of the atmospheric moisture on the eastern slopes of the subtending ridges.
It is impossible to say how much farther to the north these subtending ridges may stretch. There is reason to believe that, though the same general form of country obtains, they are not flanked by abrupt hills between the latitude 12 Deg. south and the equator. The inquiry is worthy the attention of travelers.
"Subtending the right angle, sir," said Mercer promptly. "And you, sir?" continued Mr Rebble, turning to me. "Idus, quercus, ficus, manus, sir," I replied innocently. "That will do. Go back to your places, and if I do catch you talking again in school hours " "Please, sir, that wasn't talking," said Mercer in expostulation. "Silence, sir.
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