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Updated: May 28, 2025
Stated dogmatically the meaning is this: As concavity and convexity are inseparably connected, though one is the very opposite of the other as one cannot, so to speak, live without the other, both being always found in union so can no concept be discovered that is not thus wedded to its contradiction. Every concept develops, upon analysis, a stubbornly negative mate.
In this respect he is far more akin to the bears of the Asiatic islands, than to the ursus arctos. In shape, too, he differs essentially from the latter. His body is more slender, his muzzle longer and sharper, and his profile is a curve with its convexity upward.
His ample front was decked with a blue apron, suspended from his shoulders, and confined round the convexity of his waist by an old strap which no respectable costermonger would have used as harness.
The insect has an inflated bladder-like shape, owing to the great convexity of the thin, firm, parchmenty wing-cases; the little creature being of a pale green colour. The instrument by which it produces its music is contrived out of the ordinary nervures of the wing-case. In each wing-case the under edge of the wing itself has a horny lobe.
After a short time therefore, completely foiled by the blinding glare, the eye turned itself unwillingly away, as if from a furnace of molten silver. The spherical surface, however, had long since begun to reveal its convexity. The Moon was gradually assuming the appearance of a gigantic egg with the smaller end turned towards the Earth.
About 3 1/2 inches above the umbilicus there was a sulcus with its convexity downward. There was dulness over the whole abdomen, except at the sides parallel with the lumbar spines, and a resonant band over the stomach. The greatest girth was 54 1/2 inches. By vaginal examination the cervix was found to be pulled up and obliterated; the anterior vaginal wall was bulged downward by the tumor.
Cochran claims that, not only are horses with dropped soles that would otherwise have to be put off the streets enabled to do a fair amount of work by means of this shoe, but that continually wearing it, meanwhile keeping the convexity of the front of the hoof rasped thin, in time brings about a marked improvement, and that after some months or years of use the animals are able to work with ordinary rubber-pad shoes, provided they are arranged to facilitate breaking over.
Elisee Reclus, in describing the coast dunes of Gascony, observes that when, as sometimes happens, the sands are not heaped in a continuous, irregular bulwark, but deposited in isolated hillocks, they have a tendency to assume a crescent shape, the convexity being turned seawards, or towards the direction from which the prevailing winds proceed.
On either side was ranked headland after headland, growing dimmer with the soft bruised hue of distance, while the plateau itself was set in an inward-curving stretch of cliff from which the whole line of the horizon made a vast convexity.
These things, I repeat, are known to whoever judges of things by the perception of pure reason, and not according as his imagination is affected by his outward senses, following the example of the masses who imagine a bodily Deity, holding a royal court with a throne on the convexity of heaven, above the stars, which are believed to be not very far off from the earth.
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