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A spherical angle is a particular dihedral angle; it is the angle between two intersecting arcs on a sphere, and is measured by the angle between the planes containing the arcs and the centre of the sphere. To the North Sea fishermen this fish is known as the "monk," a name which more properly belongs to Rhina squatina, a fish allied to the skates.
"She's a good child a dear, good child," muttered the Sergeant, his eyes filling with tears; "and it is my misfortune that I have seen so little of her." "She is indeed a good girl, and knows altogether too much for poor Pathfinder, who is a reasonable man and an experienced man in his own way; but who has no more idea of the main chance than you have of spherical trigonometry, Sergeant."
Etienne Montgolfier has left us a description of this first balloon. "The aerostatic machine," he says, "was constructed of cloth lined with paper, fastened together on a network of strings fixed to the cloth. It was spherical; its circumference was 110 feet, and a wooden frame sixteen feet square held it fixed at the bottom.
It struck in a central portion of the unfinished fort, and having described a high curve in the air, descended not only with its own motive power, but with the force of gravitation, and penetrated deep into the earth. Five seconds later a vast brown cloud appeared on the Fort Pilcher promontory. This cloud was nearly spherical in form, with an apparent diameter of about a thousand yards.
One of the layers of a pinkish colour, and chiefly derived from small, decomposed fragments of pumice, is remarkable, from containing numerous concretions. These are generally spherical, from half an inch to three inches in diameter; but they are occasionally cylindrical, like those of iron-pyrites in the chalk of Europe.
This, however, is only a fleshy outer rind epicarp which, as it ripens, opens into two equal parts, when within is seen a spherical polished nut, surrounding an aril, the mace, which is of a bright yellow colour. No fruit can then surpass it in beauty. The people who pick it use a small basket at the end of a long bamboo, into which it drops as they hook it off.
After a sufficient quantity has thus been collected, the oil undergoes a purifying process, and is then poured into the small spherical shells of the nuts of the moo-tree, which are hollowed out to receive it. These nuts are then hermetically sealed with a resinous gum, and the vegetable fragrance of their green rind soon imparts to the oil a delightful odour.
It loves vitality above all things, sometimes disguised by affected languor, always well kept under by the laws of good-breeding, but still it loves abundant life, opulent and showy organizations, the spherical rather than the plane trigonometry of female architecture, plenty of red blood, flashing eyes, tropical voices, and forms that bear the splendors of dress without growing pale beneath their lustre.
The same year, 1897, when he was twenty-four years old, he, with M. Machuron, made his first ascent in a spherical balloon, the only kind in existence at that time. He has described that first ascension with an enthusiasm that proclaims him a devotee of the science for all time.
Most of the cone-shaped windows had flat surfaces, but a few were of spherical outline both without and within, and the radius of curvature had been so calculated that these particular windows served as huge magnifying lenses for an eye placed at a given distance.
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