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He said that I visited his shop and, after looking at many geometrical patterns all carved out of boxwood in the most cunning and ingenious manner, was so much attracted by his skill that I asked him to make me certain mechanical devices and also begged him to make me the image of some god to which I might pray after my custom.

These were partly shaded in solid stitches, partly worked with geometrical open fillings; ornamental birds and beasts of all kinds were introduced, and the effect of the whole was very beautiful. The work is characteristically English, and a great deal of it was executed in the XVIIth century. Plates VII. and VIII. are illustrative of the type of work, and fig. 45 represents a detail.

And she finished arranging the bed, which was presently in a state of smooth geometrical correctness. He could find no fault with her efficiency, nor with her careful handling of his sensitive body. But the hard, the marmoreal cruelty of his wife's spirit exquisitely wounded his soul, which, after all, was at least as much in need of consolation as his body. He was positively daunted.

Thus, in a ratio of geometrical progression, the bad habit has grown from the daring but courtly compliment to its present disguising proportions, and the vanity and folly of the fair followers of fashion have grown with it. What will be its ultimate development?

It is said that in the design geometrical figures were used, and that some sun cult was practised by those who reared them, for the sun's shadow passes through various points only on Midsummer and on May Day. The Druids are supposed to have used this as the great shrine of their faith, and worshippers came from all over Europe every year to take part in the religious ceremonies.

"Or a geometrical design, or even a map," she continued, catching his mood. The talk drifted to happier themes and Madame was quite herself again at dusk, when she rose to go. On the way back, she passed Allison, returning home to dinner by a well- worn path, but he was thinking of something else and did not see her at all.

Every phrase in his letter seemed, to Bernard, to march in stout-soled walking-boots, and nothing could better express his attachment to the process of reasoning things out than this proposal that his friend should come and make a chemical analysis a geometrical survey of the lady of his love.

"And they group themselves now and then," I continued, with painful candour, for I longed to see the pictures he had spoken of, "group themselves into globes and round balls of fire, and the lines that flash about sometimes look like triangles and crosses almost like geometrical figures. Nothing more." I opened my eyes again, and gave him back the letter.

But though Dr. Whewell has not shaken Stewart’s doctrine as to the hypothetical character of that portion of the first principles of geometry which are involved in the so-called definitions, he has, I conceive, greatly the advantage of Stewart on another important point in the theory of geometrical reasoning; the necessity of admitting, among those first principles, axioms as well as definitions.

The same was the case with abstract forms; and even to-day we are scarcely more than heads out of the vast subtle muddle of thinking about spheres and ideally perfect forms and so on, that was the price of this little necessary step to clear thinking. How large a part numerical and geometrical magic, numerical and geometrical philosophy have played in the history of the mind!