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The Turks were ignorant of astronomy; but the observation taken by some learned Chinese, with a gnomon of eight feet, fixes the royal camp in the latitude of forty-nine degrees, and marks their extreme progress within three, or at least ten degrees, of the polar circle.
Accordingly, it is not surprising to find that the invention of the gnomon is also attributed to Anaximander, for without some such instrument it would have been impossible for him to have made any map worthy of the name.
The introduction of the gnomon and dial into Greece advanced astronomical knowledge, since they were used to determine the equinoxes and solstices, as well as parts of the day. Meton set up a sun-dial at Athens in the year 433 B.C., but the length of the hour varied with the time of the year, since the Greeks divided the day into twelve equal parts. Hence the introduction of water-clocks instead.
If we are to judge by the great number of ruined cities scattered everywhere through the forests of the peninsula; by the architectural beauty of the monuments still extant, the specimens of their artistic attainments in drawing and sculpture which have reached us in the bas-reliefs, statues and mural paintings of Uxmal and Chichen-Itza; by their knowledge in mathematical and astronomical sciences, as manifested in the construction of the gnomon found by me in the ruins of Mayapan; by the complexity of the grammatical form and syntaxis of their language, still spoken to-day by the majority of the inhabitants of Yucatan; by their mode of expressing their thoughts on paper, made from the bark of certain trees, with alphabetical and phonetical characters, we must of necessity believe that, at some time or other, the country was not only densely populated, but that the inhabitants had reached a high degree of civilization.
It is believed that Eratosthenes invented an important modification of the gnomon which was elaborated afterwards by Hipparchus and called an armillary sphere. This consists essentially of a small gnomon, or perpendicular post, attached to a plane representing the earth's equator and a hemisphere in imitation of the earth's surface.
Effectively the construction of the gnomon shows that they had found the means of calculating the latitude of places, that they knew the distance of the solsticeal points from the equator; they had found that the greatest angle of declination of the sun, 23° 27´, occurred when that luminary reached the tropics where, during nearly three days, said angle of declination does not vary, for which reason they said that the sun had arrived at his resting place.
The square, for instance, if a gnomon is applied to it, undergoes increase but not alteration, and so it is with all other figures of this sort. Alteration and increase, therefore, are distinct. Speaking generally, rest is the contrary of motion.
If he was wrong, the only result will be that the individual winds may blow, not with the scope expected from his measurement, but with powers either more or less widely extended. Let A be the centre of a plane surface, and B the point to which the shadow of the gnomon reaches in the morning. Taking A as the centre, open the compasses to the point B, which marks the shadow, and describe a circle.
When all was ready, and the woman was about to leave the house with her share of the mat and other property, she said to the man: "Now, let us again salute noses and part in peace." The simpleton yielded, but instead of the friendly touch and smell, the vixen fastened on to the poor fellow's gnomon, and disfigured him for life.
But it is probable that Anaximander did not so much invent as introduce the gnomon, and, indeed, Herodotus, expressly states that this instrument was derived from the Babylonians, who were the earliest astronomers, so far as we know. A curious point confirms this, for the measurement of angles is by degrees, and degrees are divided into sixty seconds, just as minutes are.
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