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Updated: May 2, 2025
Rising, he again carefully examined the road, and was finally rewarded by the discovery of a sharp indentation in the dust, which, on measurement and comparison with the creases in the paper and the calculations he had just made, proved to be identical. "There was a solid body in that paper," said Paul quietly; "a parallelogram exactly nine inches long and three wide."
It will be seen that by this system two of the sides of the parallelogram are capable of elongating or contracting through the unwinding and winding of the silken thread on the drums of the two cog wheels, which latter, gearing with each other, allow of the escape of but the same length of the two threads.
It stretched before them in a vast parallelogram, and while the oats were the pale gold of the austral, there was the tint of the ruddier metal of their own Northwest in this. It stood tall and stately, murmuring as the sea does, until it rolled before a stronger puff of breeze in waves of ochre, through which the warm bronze gleamed when its rhythmic patter swelled into deeper-toned harmonies.
Friedrich's main magazine is now at Pardubitz, the extreme northeast angle of the parallelogram. Parallelogram has one river in it, with the innumerable rocks and brooks and quagmires, the river Sazawa; and on the north side, where are Kuttenberg, Czaslau, Chotusitz, places again become important in this business, it is bounded by another river, the Elbe.
It is in this way that present-day scientific thought keeps itself convinced that the parallelogram of forces follows with logical evidence from the parallelogram of accelerations, and that the discovery of the former is therefore due to a purely mental process.
By a square in a town, one does not necessarily understand an area with four equal sides and as many right angles, but an open space that is left for air and beauty. There are air and beauty enough to satisfy any reasonable man. A square may be a parallelogram, or a triangle, or any other shape one pleases."
The attribute, therefore, of having the opposite sides equal, is a Proprium of the class parallelogram; and a Proprium of the first kind, which follows from the connoted attributes by way of demonstration.
At the same time it forbids the use of this equation for a logical derivation of the parallelogram of forces from that of pure velocities. The same method which has enabled us to restore its true meaning to the formula connecting mass and force will serve to find the true source of man's knowledge of the parallelogram of forces. Accordingly, our procedure will be as follows.
A long opening, intersecting this parallelogram in its length, divided it in two equal parts; these were in their turn divided and subdivided by little lateral and transverse courts, sheltered from the rain by the roof of the edifice.
In the front gateway we looked at the groove on each side, in which the portcullis used to rise and fall; and in each of the contiguous round towers there was a loop-hole, whence an enemy on the outer side of the portcullis might be shot through with an arrow. The inner court-yard is a parallelogram, nearly a square, and is about forty-five of my paces across.
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