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Loci: ConvergenceTraveling men Two men starting from the same point begin walking in different directions. Their rates of travel are in the ratio 7:3. The slower man walks towards the east. His faster companion walks to the south a distance of 10 pu and then turns towards an intercept course and proceeds until both men meet. How many pu did each man walk? (China ca. 100 BCE) Click here to reveal the answerThe answer is: slow walker, 10.5 pu; fast walker, 24.5 pu
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Poets do not go mad; but chess-players do. Mathematicians go mad, and cashiers; but creative artists very seldom. I am not, as will be seen, in any sense attacking logic: I only say that this danger does lie in logic, not in imagination.
Orthodoxy, Ch. 2.
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