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
In the twentieth chapter of II Kings, at the eleventh verse we read,
that "Isaiah the prophet cried unto the Lord, and he brought the shadow
ten degrees backward, by which it had gone down in the dial of Ahaz."
It is a curious fact, first pointed out by Nonez, the famous
cosmographer and mathematician of the sixteenth century, but not
generally known, that by tilting a sun-dial through the proper angle,
the shadow at certain periods of the year can be made, for a short time,
to move backwards on the dial. This was used by the French
encyclopaedists as a rationalistic explanation of the miracle which is
related at the opening of this article.
The reader who is curious in such matters will find directions for
constructing "a dial, for any latitude, on which the shadow shall
retrograde or move backwards," in Ozanam's "Recreations in Science and
Natural Philosophy," Riddle's edition, page 529. Professor Ball in his
"Mathematical Recreations," page 214, gives a very clear explanation of
the phenomenon. The subject is somewhat too technical for these pages.
HOW A WATCH MAY BE USED AS A COMPASS
Several years ago a correspondent of "Truth" (London) gave the following
simple directions for finding the points of the compass by means of the
ordinary pocket watch: "Point the hour hand to the sun, and south is
exactly half way between the hour hand and twelve on the watch, counting
forward up to noon, but backward after the sun has passed the meridian."
Professor Ball, in his "Mathematical Recreations and Problems," gives
more complete directions and explanations. He says:
"The position of the sun relative to the points of the compass
determines the solar time. Conversely, if we take the time given by
a watch as being the solar time (and it will differ from it only by
a few minutes at the most), and we observe the position of the sun,
we can find the points of the compass. To do this it is sufficient
to point the hour-hand to the sun and then the direction which
bisects the angle between the hour and the figure XII will point due
south. For instance, if it is four o'clock in the afternoon, it is
sufficient to point the hour-hand (which is then at the figure IIII)
to the sun, and the figure II on the watch will indicate the
direction of south. Again, if it is eight o'clock in the morning, we
must point the hour-hand (which is then at the figure VIII) to the
sun, and the figure X on the watch gives the south point of the
compass.
"Between the hours of six in the morning and six in the evening the
angle between the hour and XII, which must be bisected is less than
180 degrees, but at other times the angle to be bisected is greater
than 180 degrees; or perhaps it is simpler to say that at other
times the rule gives the north point and not the south point.
Public-domain text, read in full here on John Shaqi.
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