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The party then started off at a canter to the artillery lines, to secure the guns and open the magazine, if they could but obtain the key from the ordinance warrant officer, while the infantry made an attempt to carry the Fort by storm; but having neither guns nor scaling ladders, they signally failed in their attempt, and suffered considerable loss from the spherical case and round shot that was hurled at them from the guns of the fort.
Hipparchus, before making his solar and lunar tables, had to discover rules for calculating the relations between the sides and angles of triangles trigonometry a subdivision of pure mathematics. Further, the reduction of the doctrine of the sphere to the quantitative form needed for astronomical purposes, required the formation of a spherical trigonometry, which was also achieved by Hipparchus.
The walls rise 13 feet above the tops of the arches, and contain two rows of twenty-one windows each. The roof is of timber, without being vaulted. The cupola is supported by four large arches resting upon four square pillars. It is spherical, with two rows of windows, and is ornamented with arabesque paintings and gilding of exquisite beauty. Its diameter is equal to that of the central nave.
The colour was caused by little gelatinous balls, about the fifth of an inch in diameter, in which numerous minute spherical ovules were imbedded: they were of two distinct kinds, one being of a reddish colour and of a different shape from the other. I cannot form a conjecture as to what two kinds of animals these belonged.
To measure a plane or curved surface with this instrument, a perfect plane or perfect spherical surface of known radius must be used to determine the zero point of the division. Taking for granted that we have this standard plate, the spherometer is placed upon it, and the readings of the divided head and indicator, d, noted when the point of the screw, a, just touches the surface, f.
The spherical shape of the mirror itself, one of the easiest possible structures to erect in space, had dictated the placement of the rods through its center since there was no single focal point for the entire mirror surface. But it had also added a complication. From this position, the rods could have been designed to fire either straight forward or straight back.
The distance between the two stations was then measured, and found to be two hundred thousand Hashemite cubits; this gave for the entire circumference of the earth about twenty-four thousand of our miles, a determination not far from the truth. But, since the spherical form could not be positively asserted from one such measurement, the khalif caused another to be made near Cufa in Mesopotamia.
Lord Rosse may say, even if to-day he should die, 'I found God's universe represented for human convenience, even after all the sublime discoveries of Herschel, upon a globe or spherical chart having a radius of one hundred and fifty feet; and I left it sketched upon a similar chart, keeping exactly the same scale of proportions, but now elongating its radius into one thousand feet. The reader of course understands that this expression, founded on absolute calculations of Dr.
I had dozed repeatedly waked on the threshold of oblivion by contact with some of the angles of the coach, and feeling that I was unconsciously assuming, in imitation of a humble insect of my childish recollection, that spherical shape which could best resist those impressions, when I perceived that the moon, riding high in the heavens, had begun to separate the formless masses of the shadowy landscape.
Then his eyes fell upon a huge receptacle that stood on the table nearest to the furnace. It was covered with a white cloth. He took it off. The vessel was about four feet high, round, and shaped somewhat like a washing tub, but it was made of glass more than an inch thick. In it a spherical mass, a little larger than a football, of a peculiar, livid colour.
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