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Yes, he was quietly writing here at eleven o'clock last night when old Prudence Baldwin, his housekeeper, last saw him. Afterward Dr. Herrick appears to have diverted himself by taking away the mats and chalking geometrical designs upon the floor, as well as by burning some sort of incense in this brasier." "But such avocations, Philip, are not necessarily indicative of sanity.
Suppose me, in total ignorance of Euclid, to have discovered even the simplest of his geometrical demonstrations, shall I be crestfallen when some one draws attention to the book? These natural sprouts are, after all, the best products of our life; it is a mere accident that they may have no value in the world's market.
An ancient and notable example occurs in the pyramids of Egypt, the sides of which, in their original condition, are believed to have been equilateral triangles. It is a demonstrable fact that certain geometrical intersections yield the important proportions of Greek architecture.
This is the fault of rigid symmetry and of all other simple geometrical types of composition, which, for this reason, have lost their old popularity in the decorative and pictorial arts. In balance, on the other hand, the danger is that there may be too great a variety, too strong an opposition; the elements tend to fly apart, threatening the integrity of the whole.
I have the honor of having antedated Fourcau in demonstrating the importance of Temassinin as a geometrical point for the passage of caravans, and of selecting the place where Captain Pein has just now constructed a fort. The junction for the roads that lead to Touat from Fezzan and Tibesti, Temassinin is the future seat of a marvellous Intelligence Department.
If, the feet of Marie being small, those of the corpse were also small, the increase of probability that the body was that of Marie would not be an increase in a ratio merely arithmetical, but in one highly geometrical, or accumulative.
There is almost a Yankee ingenuity of design in many of the dodges thus registered for our inspection. Many of the celts, I may add, are most beautifully decorated with geometrical patterns, some of which belong to a very high order of ornamental art.
The series of objects to follow after the cylinders consists of three sets of geometrical solid forms: Ten wooden cubes colored pink. The sides of the cubes diminish from ten centimeters to one centimeter. Ten wooden prisms, colored brown. The length of the prisms is twenty centimeters, and the square section diminishes from ten centimeters a side to the smallest, one centimeter a side.
If we should assume such a work, a certain variability would not be excluded from it; for example, extensive agricultural labor and irrigation upon a large scale. Let us add, further, that the intervention of intelligent beings might explain the geometrical appearance of the gemination, but it is not at all necessary for such a purpose.
Proportions of numbers and geometrical figures rest at the bottom of the whole. All these considerations, when the mind is thoroughly prepared for them, tend to raise our ideas with respect to the character of physical laws, even though we do not go a single step further in the investigation. But it is impossible for an intelligent mind to stop there.
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