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Updated: May 31, 2025


The entire area of the Empire was probably from 240,000 to 250,000 square miles which is about the present size of Austria. Its shape may be compared roughly to a gnomon, with one longer and one shorter arm.

It mattered little, however, that only the stump of a gnomon was left, seeing the hedge around it had grown to such a height in relation to the diameter of the circle, that it was only for a very brief hour or so in the middle of a summer's day, when, of all periods, the passage of Time seems least to concern humanity, that it could have served to measure his march.

It finds terrestrial latitudes by the gnomon; describes climates; shows how ordinary may be converted into sidereal time; gives reasons for preferring the tropical to the sidereal year; furnishes the solar theory on the principle of the sun's orbit being a simple eccentric; explains the equation of time; advances to the discussion of the motions of the moon; treats of the first inequality, of her eclipses, and the motion of the node.

It commences with the doctrine that the earth is globular and fixed in space, it describes the construction of a table of chords, and instruments for observing the solstices, it deduces the obliquity of the ecliptic, it finds terrestrial latitudes by the gnomon, describes climates, shows how ordinary may be converted into sidereal time, gives reasons for preferring the tropical to the sidereal year, furnishes the solar theory on the principle of the sun's orbit being a simple eccentric, explains the equation of time, advances to the discussion of the motions of the moon, treats of the first inequality, of her eclipses, and the motion of her nodes.

The Athenian entered the sanctuary in the centre dedicated to Jupiter, and he saw the image of the god in terra cotta, holding a golden lance in his right hand. Before him continually smoked the Altar of Sacrifices. On leaving the temple he glanced at the gnomon or sundial, which at that height marked the time for all Rome.

He wrestled with his ignorance as if he thought that by talking he might presently worry out some picture of this forgotten world, without metals, without beasts of burthen, without letters, without any sculpture that has left a trace, and yet with a sense of astronomical fact clear enough to raise the great gnomon of Silbury, and with a social system complex enough to give the large and orderly community to which the size of Avebury witnesses and the traffic to which the green roads testify.

In the happy days of confidence and truth, it sheds a halo round her existence; in those of sorrow and desertion, memory, guided by its resistless power, like the gnomon of the dial, marks but those hours which were sunny and serene.

Several climates in one field: the wintry ridge over which leaves were always driving in all four seasons of the year; the level sunny plain and fallen cromlech still tall enough for a gnomon and to cast its shadow in the treeless drought; the moist, warm, grassy depression; the lotus-grown slope, warm and dry.

The hemisphere KA being marked with a scale, it is obvious that in actual practice Eratosthenes required only to set his gnomon in the sunlight at the proper moment, and read off the answer to his problem at a glance. Of course it is the method, and not its details or its exact results, that excites our interest. And beyond question the method was an admirable one.

Among these were determining the meridian by equal altitudes of the sun, and also by the pole-star at its upper or lower culmination; finding the latitude by the meridian altitude of the sun, or of some of the principal stars; and making a rude sundial by erecting a gnomon towards the pole.

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