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 — John Shaqi
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
About the year 430 B.C. the Athenians were afflicted by a terrible
plague, and as no ordinary means seemed to assuage its virulence, they
sent a deputation of the citizens to consult the oracle of Apollo at
Delos, in the hope that the god might show them how to get rid of it.
The answer was that the plague would cease when they had doubled the
size of the altar of Apollo in the temple at Athens. This seemed quite
an easy task; the altar was a cube, and they placed beside it another
cube of exactly the same size. But this did not satisfy the conditions
prescribed by the oracle, and the people were told that the altar must
consist of one cube, the size of which must be exactly twice the size of
the original altar. They then constructed a cubic altar of which the
side or edge was twice that of the original, but they were told that the
new altar was eight times and not twice the size of the original, and
the god was so enraged that the plague became worse than before.
According to another legend, the reason given for the affliction was
that the people had devoted themselves to pleasure and to sensual
enjoyments and pursuits, and had neglected the study of philosophy, of
which geometry is one of the higher departments--certainly a very sound
reason, whatever we may think of the details of the story. The people
then applied to the mathematicians, and it is supposed that their
solution was sufficiently near the truth to satisfy Apollo, who
relented, and the plague disappeared.
In other words, the leading citizens probably applied themselves to the
study of sewerage and hygienic conditions, and Apollo (the Sun) instead
of causing disease by the festering corruption of the usual filth of
cities, especially in the East, dried up the superfluous moisture, and
promoted the health of the inhabitants.
It is well known that the relation of the area and the cubical contents
of any figure to the linear dimensions of that figure are not so
generally understood as we should expect in these days when the
schoolmaster is supposed to be "abroad in the land." At an examination
of candidates for the position of fireman in one of our cities, several
of the applicants made the mistake of supposing that a two-inch pipe and
a five-inch pipe were equal to a seven-inch pipe, whereas the combined
capacities of the two small pipes are to the capacity of the large one
as 29 to 49.
This reminds us of a story which Sir Frederick Bramwell, the engineer,
used to tell of a water company using water from a stream flowing
through a pipe of a certain diameter. The company required more water,
and after certain negotiations with the owner of the stream, offered
double the sum if they were allowed a supply through a pipe of double
the diameter of the one then in use. This was accepted by the owner, who
evidently was not aware of the fact that a pipe of double the diameter
would carry _four_ times the supply.
Public-domain text, read in full here on John Shaqi.
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