Rational Amusement for Winter Evenings, Or, A Collection of Above 200 Curious and Interesting Puzzles and Paradoxes Relating to Arithmetic, Geometry, Geography, &c: With Their Solutions, and Four Plates, Designed Chiefly for Young Persons

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Longman, Hurst, Rees, Orme, and Brown, 1821 - 118 σελίδες
 

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Σελίδα 19 - A country woman, carrying eggs to a garrison where she had three guards to pass, sold at the first, half the number she had and half an egg more ; at the second, the half of what remained and half an egg more ; at the third the half of the remainder and half an egg more ; when she arrived at the market-place she had three dozen still to sell. How was this possible without breaking...
Σελίδα 19 - The three Graces, carrying each an equal number of oranges, were met by the nine Muses, who asked for some of them ; and each Grace having given to each Muse the same number, it was then found that they had all equal shares. How many had the Graces at first...
Σελίδα 65 - ... subtract that sum from the number of nines. Let another person add that difference to the largest number, and taking away the first figure of the amount, add it to the last figure, and that sum will be the difference of the two numbers.
Σελίδα 2 - ... north-east quarter, and directed that the remainder be given in farms of precisely the same shape and size to his four sons. Required the shape and size of each ? 9. Supposing there are more persons in the world than any one of them has hairs on his head, it then follows as a necessary consequence, that some two of them at least, must have exactly the same number of hairs on their heads, to a hair : required the proof.
Σελίδα 3 - CURIOUS ARITHMETICAL CASE. Mr. Editor, — As the following ancient and curious Arithmetical Question has not appeared in your entertaining miscellany, I have sent it for your insertion, should you think it worthy a place. KEYSOE. In an Arabian manuscript was found this remarkable decision of a dispute. — Two Arabians sat down to dinner ; 'one had 5 loaves,
Σελίδα 4 - Three jealous husbands, with their wives, having to cross a river at a ferry, find a boat without a boatman ; but the boat is so small that it can contain no more than two of them at once. How can these six persons cross the river...
Σελίδα 36 - There is a certain island in the jEgean sea, upon which, if two children were bom at the same instant of time, and living together for several years, should both die on the same day; or even at the same hour and minute of the day; yet, the life of the one would surpass that of the other several months.
Σελίδα 77 - ... carrying each an equal number of oranges, were met by the nine Muses, who asked for some of them ; and each Grace having given to each Muse the same number, it was then found that they had all equal shares. How many had the Graces at first ? The least number that will answer this question is twelve; for if we suppose that each Grace gave one to each Muse, the latter would each have three, and there would remain three for each Grace. (Any multiple of 12 will answer the conditions of the question.)...
Σελίδα 105 - ... through a vacuum, or at least through a very rare medium*, and fall obliquely upon the atmosphere, which is a dense medium, they will, by the laws of optics, be refracted in lines approaching nearer to a perpendicular from the place of the observer (or nearer to the zenith) than they would...
Σελίδα 17 - How many pounds with nineteen crowns, For twenty loads will pay? Also this, more stately in its diction : After an old man's death, in gold was found, Left to his family, eight thousand pounds ; To be bestowed as his last will directed, Which did provide that none should be neglected; For to each son, there being in number five, Three times each daughter's portion he did give; The daughters each were also to receive Double the sum he to their mother gave; His daughters, all in number, were just four,...

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