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1 The Birth of Science - MSRI

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11.6 Terrestrial Motion, Tides and Gravitation 319<br />

how the monthly cycle <strong>of</strong> spring and neap tides can be explained by the<br />

joint action <strong>of</strong> the two bodies. 107 <strong>The</strong> Euripus even contains the observation<br />

that, given that when the sun or the moon are directly above a point on<br />

the tropic <strong>of</strong> Cancer, the antipodal point is on the tropic <strong>of</strong> Capricorn, the<br />

two daily tides should be unequal and the diurnal inequality should be<br />

greatest at the solstice and least at the equinox. 108<br />

What makes this all the more fascinating is that de Dominis, far from<br />

writing in support <strong>of</strong> the theory that he expounds, in fact disproves it on<br />

the grounds that its consequences are false! He was convinced that the<br />

two daily tides are invariably equal. Knowledge <strong>of</strong> the regime <strong>of</strong> diurnal<br />

inequality in such distant places as the “Erythrean Sea”, <strong>of</strong> which Strabo<br />

wrote in connection with Seleucus, 109 had vanished in Europe. We know<br />

from no less an authority than G. H. Darwin that the import <strong>of</strong> Seleucus’<br />

achievement would have been impossible to appreciate even in the early<br />

nineteenth century. 110 <strong>The</strong> discussion in the Euripus is thus in a sense complementary<br />

to the Strabo passage, in that it includes a theoretical explanation,<br />

not found in Strabo, for the observable phenomena described by<br />

Strabo but rejected by de Dominis. 111<br />

Thus we have found an additional and important argument in support<br />

<strong>of</strong> the thesis, introduced in Section 10.7, that a reasonably well-developed<br />

astronomical theory <strong>of</strong> tides existed in Antiquity. Indeed, if it is already<br />

less than likely that our religious reformer and jurist could have created<br />

an original mathematical theory that correctly explains the annual varia- page 393<br />

tion <strong>of</strong> diurnal inequality, it beggars belief that he should have done so<br />

while denying that the diurnal inequality exists. <strong>The</strong> explanation is that<br />

he merely transmitted (not terribly well, it must be said) the elements <strong>of</strong><br />

an ancient theory born from observations made in seas he knew nothing<br />

about. And it is not surprising that a high ecclesiastical figure, who<br />

was successively the bishop <strong>of</strong> Segna (Sinj) and the archbishop <strong>of</strong> Spalato<br />

(Split), and the scion, to boot, <strong>of</strong> an illustrious Dalmatian family going<br />

107<br />

<strong>The</strong> cause <strong>of</strong> the monthly cycle is recapitulated in note 119, page 266.<br />

108<br />

<strong>The</strong> yearly cycle <strong>of</strong> diurnal inequality is explained in Figure 10.3 (page 267) and the surrounding<br />

text.<br />

109<br />

Strabo, Geographia, III, v, 9; see page 266 for discussion.<br />

110<br />

[Darwin: Tides], p. 84: “<strong>The</strong> meaning <strong>of</strong> [the passage on Seleucus reported by Strabo] was<br />

obviously unknown to the Dutch commentator Bake — and indeed must necessarily have been<br />

unintelligible to him at the time when he wrote, on account <strong>of</strong> the then prevailing ignorance <strong>of</strong><br />

tidal phenomena in remoter parts <strong>of</strong> he world”.<br />

111<br />

Naturally de Dominis (like any <strong>of</strong> his contemporaries who might be interested in physical<br />

geography) had to be familiar with Strabo’s work. What happens is that after reporting Seleucus’<br />

observations, Strabo adds that Posidonius unsuccessfully tried to verify in Cádiz the phenomenon<br />

Seleucus noticed in the “Erythrean Sea”. So probably de Dominis deduced not that the two seas<br />

have different regimes, but that Seleucus should be disregarded.<br />

Revision: 1.11 Date: 2003/01/06 07:48:20

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