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Updated: May 10, 2025
Of a small sprig of aristocracy, who was an undergraduate in my time, it was said by a friend that he was like Euclid's definition of a point: he had no parts and no magnitude, but had position. In previous chapters I have quoted the late Master of Balliol and Lord Sherbrooke. Professor Thorold Rogers excelled in a Shandean vein.
I wish to treat you like a gentleman, but I won't be detained. Joe spoke a word to the captain, who kept his back as broad to me as a school-slate for geography and Euclid's propositions. 'Cabin, cabin, the captain repeated.
I have read Euclid's Elements. . . . I have read logic. . . . I went some length in physics. . . . I thought myself master of geography and to possess sufficient skill in astronomy." Yet he says I am "no scholar." When Defoe left school he went into the office of a merchant hosier. It was while he was in this office that King Charles II died and King James II came to the throne.
'Did I? And of a good many other things, I daresay. It was my habit at one time, I believe, to grow heated in scorn of Euclid's definitions. What an interesting book Euclid is! Half a year ago, I was led by a talk with Moorhouse to go through some of the old "props", and you can't imagine how they delighted me. Moorhouse was so obliging as to tell me that I had an eminently deductive mind.
Literature is a large word; it may mean everything written with letters or printed in a book. Euclid's Elements and Newton's Principia are thus literature. All knowledge that reaches us through books is literature. But by literature Professor Huxley means belles lettres.
But it has gradually appeared, by the increase of non-Euclidean systems, that Geometry throws no more light upon the nature of space than Arithmetic throws upon the population of the United States. Geometry is a whole collection of deductive sciences based on a corresponding collection of sets of axioms. One set of axioms is Euclid's; other equally good sets of axioms lead to other results.
The ultimate truths of religion cannot be matters of demonstration any more than the fundamental truths of any science can be proved; any more than Euclid's axioms can be demonstrated; any more than the sense of beauty or the ear for music depend on the understanding. 'Be not faithless, but believing. The eye that is sound will see the light. And there is another lesson here.
But the silence of Mr. Seven Sachs was different from Rose Euclid's. He was not shy. A dark and handsome, tranquil, youngish man, with a redoubtable square chin, delicately rounded at the corners, he strikingly resembled his own figure on the stage; and moreover, he seemed to regard silence as a natural and proper condition.
No two women could possibly be more utterly dissimilar than Rose Euclid and the cloistered Nellie.... And yet, as Rose Euclid's hesitant fingers closed on the bank-notes with a gesture of relief, Edward Henry had an agreeable and kindly sensation that all women were alike, after all, in the need of a shield, a protection, a strong and generous male hand.
He was worrying, foolish fellow, about the false telephone-call in which, for the purpose of testing Rose Euclid's loyalty to the new enterprise, he had pretended to be the new private secretary of Sir John Pilgrim. Yet what harm had it done? And had it not done a lot of good?
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