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Updated: May 4, 2025
He dreamt of the moor, of the pirates, of the cobbled street in Borhaze, of the cry of the Trezent Bell, of the deep lanes and the smell of the flowers in them, of making five hundred not out at cricket, of doing a problem in Euclid to Mr.
It was true that on the morrow, about lunch-time, Rose Euclid and Carlo Trent might have to live through a few rather trying moments, and they would certainly be very angry; but these drawbacks would have been more than compensated for in advance by the pleasures of hope. And had they not between them pocketed seventy-five pounds which they had stood to lose?
I cannot help wondering, as I transcribe these notes, whether a Protestant born and bred is in a fit state to understand these signs, and do them what justice they deserve; and I cannot help answering that he is not. They cannot look so merely ugly and mean to the faithful as they do to me. I see that as clearly as a proposition in Euclid. For these believers are neither weak nor wicked.
Newton, when, at quite a mature period of his career, Euclid was first brought to his attention, laid the book down after a cursory glance with the remark that it was only fit for children, its propositions being self-evident. Yet to those truisms Newton added very little. His work lay in their development and application.
The time has come for Euclid to be superseded; let him go. He has surely held the torch for mankind long enough; and books of science are born to be superseded.
FORTY-SEVENTH PROBLEM. The forty-seventh problem of the first book of Euclid is, that in any right-angled triangle the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle.
"It was the opinion of my friends on the paper," he replied. "I told them that I was going in for lecturing. They laughed at me, and called me `a fool. Don't you think they were right?" Then we sauntered up Euclid Street, under the shade of its avenue of trees. As we went along, Artemus Ward recounted to me the story of his becoming a lecturer.
He who does not learn cannot teach. Socrates professed to know only this, that he knew nothing. Plato was a disciple of Socrates and Euclid; a pupil in the school of Pythagoras; and, as a traveller, under the disguise of a merchant and a seller of oil, he visited Egypt, and thus gained a knowledge of astronomy, and added something to his learning in other departments.
The words, then, in which they are set forth are not language, speech, literature, but rather, as I have said, symbols. And, as a proof of it, you will recollect that it is possible, nay usual, to set forth the propositions of Euclid in algebraical notation, which, as all would admit, has nothing to do with literature.
He was also somewhat assisted, and, at times, not a little retarded, by his ardent admirer Peter Pax, who joined him enthusiastically in his studies, but, being of a discursive and enterprising spirit, was prone to tempt him off the beaten paths of learning into the thickets of speculative philosophy. One evening Pax was poring over a problem in Euclid with his friend in Pegaway Hall.
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