FOOTNOTES

[197] [Sextus Empiricus (Adv. Math. cap. 21) says that the Chaldæans

divided the zodiac into 12 equal parts, as they supposed, by allowing

water to run out of a small orifice during the whole revolution of a

star, and dividing the fluid into 12 equal parts, the time answering

to each part being taken for that of the passage of a sign over the

horizon.]

[198] Lib. ix. c. 9.

[199] [Some mode of measuring time by the reflux of water, however rude

it might be, was used at Athens before the time of Ctesibius, as we see

by various passages in Demosthenes.]

[200] Auctor Dialog. de Caus. Cor. Eloq. 38.--The orators were confined

to a certain time; and hence Cicero says, _latrare ad clepsydram_.

[201] Some account of the writers who have spoken of the water-clocks

of the ancients may be found in Fabricii Bibliograph. Antiquaria,

p. 1011. They were formerly used for astronomical observations. The

authors who treat of them in this respect are mentioned in Riccioli

Almagest. Novo, i. p. 117.

[202] In that year Kircher’s Ars Umbræ et Lucis was published for the

first time. In the edition of 1671, several kinds of water-clocks are

described, p. 698.

[203] A particular account of these water-clocks is to be found in

Ozanam, Recréations Math. et Physiques [republished in Hutton’s

Mathematical Recreations, ii. 40]. Bion on Mathematical Instruments.

[204] Muschenbroek, Philos. Natur. i. p. 143.

[205] Journal des Sçavans, 1691.

[206] This monk may be considered as the restorer of the clepsydra,

or clock which measures time by the fall of a certain quantity of

water confined in a cylindric vessel. These clocks were in use

among ancient nations. They are said to have been invented at the

time when the Ptolemies reigned in Egypt. Dom Vailly, who applied

himself particularly to practical mathematics, having remarked the

faults of these clocks, bestowed much labour in order to bring them

to perfection; and by a number of experiments, combinations, and

calculations, he was at length able to carry them to that which they

have attained at present. At the time of their arrival they were very

much in vogue in France.--Hist. Littéraire de la Congr. de St. Maur,

ordre de S. Bénoit. Bruxelles, 1770, 4to, p. 478.

[207] Ozanam, ii. p. 475.

[208] Alexander will not admit this to be the case. “It is possible,”

says he, “that two persons of penetrating genius may have discovered

the same thing.”

[209] Art du potier d’étain, par Salmon. Paris, 1788, fol. p. 131.

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