him, their rising (as his motion in the ecliptic is contrary to his apparent diurnal motion,) will precede his by a space of time which will allow them to be seen. The real evening setting of a star, is its sinking at the same moment with the sun below the horizon, its heliac setting, is its becoming visible as he is setting and then disappearing, that is ceasing to be visible after sun-set, in the western part of the hemisphere. Thus the sun and the Hyades may actually set together several days before they become sufficiently elongated from him, to admit of their being seen before they set.
There are thus three risings, and three settings of a star, namely:--
The true morning rising, i. e. the cosmic. The apparent morning rising, i. e. the heliac. The true evening rising, i. e. the acronych.
The true morning setting, i. e. the cosmic. The true evening setting, i. e. the acronych. The apparent evening setting, i. e. the heliac.
Of these, the one which is most apt to engage the attention, is the acronych or true evening rising, that is the rising of the star at the eastern verge of the horizon, at the moment the sun is sinking on the western side. It is of this I think, that Hesiod always speaks. The attention of the constructors of parapegmata does not seem to have been directed to the risings of the stars at different hours of the night.
§ 2.
Of the Roman Year.
Nothing is better established by competent authority, than that two kinds of year were in use among the ancient Romans, the one of ten, the other of twelve months. In the usual spirit of referring their ancient institutions to those whom they regarded as their first kings, the ten-month year was ascribed to Romulus, the improved one of twelve months to Numa. This was the current opinion, such as we find it in the following poem; some ancient writers, however, such as Licinius Macer and Fenestella, to whom we may perhaps add Plutarch, rejected the ten-month year as a mere fiction. Their opinion has been adopted by the great Joseph Scaliger, who asserts that the Roman year always consisted of twelve months. Both opinions may, I think, be maintained, the Romans may, from the beginning of their state, have had a year of twelve months, which I would call the Roman year, and yet have used along with it a year of ten months, which, for reasons which will presently appear, I call the Etruscan year. I will commence by showing that a year of ten months was in use even in the time of the republic.
Ten months was the term for mourning; the fortunes of daughters, left by will, were to be paid in three instalments of ten months each; on the sale of olives, grapes on the vine, and wine in the vessels, ten month's credit was given; the most ancient rate of interest also supposes a year of ten months. It may further be noted, that even Scaliger, who rejected this year, could not avoid remarking, how singular it was, that the household festivals of the Saturnalia and the Matronalia should be the one at the end of December, the other at the beginning of March. He did not perceive that this would seem to indicate a time when, at the end of a year of ten months, these two festivals were one, and male and female slaves together enjoyed the liberty of the season.
These are mere presumptions; a nearer approach can be made to certainty. There was nothing the ancient inhabitants of Italy more carefully shunned, than drawing down the vengeance of the gods, by even an involuntary breach of faith. It was also the custom, especially of the Etruscans, to make peaces under the form of truces, for a certain number of years. Now we find that, in the year 280, a peace was made with Veii for 40 years. In 316 Fidenas revolted and joined Veii, which must then have been at war with Rome, but 316-280, is only 36, yet the Romans, though highly indignant, did not accuse the Veientines of breach of faith. Suppose the truce made for 40 ten-month years, and it had expired in the year 314. Again, in 329, a truce was made for twenty years, and Livy says that it was expired in 347, but 347-329 is 18 not 20. Let the year have been, of ten months, and the truce had ended in the year 346. These are Etruscan cases, but we find the same mode of proceeding in transactions with other nations; a truce for 8 years was made with the Volscians in 323, and in 331 they were at war with Rome, without being charged with perjury.
This ten-month
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