The Seven Follies of Science [2nd ed.]: A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. To which is added a small budget of interesting paradoxes, illusions, and marvelsPhin, John
History
The Seven Follies of Science [2nd ed.]: A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. To which is added a small budget of interesting paradoxes, illusions, and marvels
Phin, John
Geometry -- Famous problems; Scientific recreations
Some time ago I asked one of the foremost Shakespearian scholars in the
world if he had a copy of the "First Folio." His reply was that he
could not afford it; that it would not be wise for him to lose $400 to
$500 per year for the mere sake of ownership, when for a very slight
expenditure for time and railway fare he could consult any one of
half-a-dozen copies whenever he required to do so.
ARITHMETICAL PUZZLES
A good-sized volume might be filled with the various arithmetical
puzzles which have been propounded. They range from a method of
discovering the number which any one may think of to a solution of the
"famous" question: "How old is Ann?" Of the following cases one may be
considered a "catch" question, while the other is an interesting
problem.
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 any of the eggs?
At first view, this problem seems impossible, for how can half an egg be
sold without breaking any? But by taking the greater half of an odd
number we take the exact half and half an egg more. If she had 295 eggs
before she came to the first guard, she would there sell 148, leaving
her 147. At the next she sold 74, leaving her 73. At the next she sold
37, leaving her three dozen.
The second problem is as follows: After the Romans had captured Jotopat,
Josephus and forty other Jews sought shelter in a cave, but the refugees
were so frightened that, with the exception of Josephus himself and one
other, they resolved to kill themselves rather than fall into the hands
of their enemies. Failing to dissuade them from this horrid purpose,
Josephus used his authority as their chief to insist that they put each
other to death in an orderly manner. They were therefore arranged round
a circle, and every third man was killed until but two men remained, the
understanding being that they were to commit suicide. By placing himself
and the other man in the 31st and 16th places, they were the last that
were left, and in this way they escaped death.
ARCHIMEDES AND HIS FULCRUM
Next to that of Euclid, the name of Archimedes is probably that which is
the best known of all the mathematicians and mechanics of antiquity, and
this is in great part due to the two famous sayings which have been
attributed to him, one being "Eureka"--"I have found it," uttered when
he discovered the method now universally in use for finding the specific
gravity of bodies, and the other being the equally famous dictum which
he is said to have addressed to Hiero, King of Sicily,--"Give me a
fulcrum and I will raise the earth from its place."
Public-domain text, read in full here on John Shaqi.
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