their trepidation,―he ascribed the motion by which these phenomena are produced to the earth itself. The cause of this motion he sought in the action of the ambient air on the earth's surface. To explain trepidation, the earth's motion was supposed to be in some measure libratory and irregular; and by being so it produced the tides.'

From the theory of Casalpinus we pass naturally to that of Galileo, seeing that in both the tides are explained by the unequal motion of the earth. Galileo's theory was first propounded in a letter to Cardinal Orsino, dated 1616. He remarks that the libratory motion "che alcuno ha attribuito alla Terra," (alluding of course to Casalpinus,) is in several respects not such as to save the phenomena, and maintains that the true cause is to be sought in the combination of the earth's motion in its orbit with its rotation on its own axis. In consequence of this combination, the velocity of any point of the earth's surface varies, going through its different values in the space of twenty-four hours. The waters of the sea, not accommodating themselves to this varying velocity, ebb and flow at any place as their velocity is less or greater than that of their bed. The boldness of the assertions by which Galileo supports this theory is remarkable: thus he affirms that the ebb and flow is always from west to east, and vice versâ ; and that the notion that, speaking generally, the interval between high water and low is six hours "è stata un' ingannevole opinione la quale ha poi fatto favoleggiare gli scrittori con molte vane fantasie." No refutation of a theory which altogether misrepresents the facts which it proposes to explain could ever have been needed; but the advance of mechanical science has long since made it easy to show that no reciprocating motion of the waters of the sea could be produced in the manner described by Galileo.

Bacon does not mention Galileo's theory in the present tract, which was therefore probably written before or not long after 1616. But in the Novum Organum [11. 46.] it is mentioned and condemned; one ground of censure being that it proceeds on the untenable hypothesis of the earth's motion, and the other that the phenomena are misrepresented.

Bacon, both in this tract and in the Novum Organum,

Quæstiones Peripat. iii. 4. and 5.

ascribes the tides in the Atlantic to a derivative motion of the waters, caused by the obstacles which the form of the continents of the old and new worlds oppose to its general westerly movement. It is thus that he meets the objection which would arise from the circumstance that there is high water at the same time on corresponding points of the shores of Europe and America. This notion of a derivative tide is absolutely necessary in the detailed explanation of the phenomena, and I am not aware that any one had previously suggested it, at least in the distinct form in which Bacon puts it. He admits that, if the tides of the Pacific synchronise with those of the Atlantic, his theory that the tides depend on a progressive motion of the ocean must be given [up]. If it be high water on the shores of Peru and China at the same hours as on those of Florida and Europe, there are no shores left on which there can then be low water. For the important observation that the hours of high water correspond, speaking roughly, on the European and American coasts, Bacon quotes in the De Fluxu et Refluxu Maris no authority; but in the Novum Organum he ascribes it to Acosta and others. But it is very remarkable that Acosta does not say what Bacon makes him say, namely that the times of high water are the same on the coast of Florida and that of Europe, and that he does say what Bacon admits would be fatal to his theory, namely that there is high water at the same time in the Atlantic and Pacific oceans. In his Natural History of the Indies, iii. 14., he speaks of the tides, and of the two theories by which they had been explained. There are some, he says, who affirm that the ebb and flow of the sea resembles a caldron of water moved to and fro, the water rising on one side when it falls on the other, and reciprocally; while others liken it to the boiling over of a pot, which rises and falls on all sides at He The second view is in his judgment the true one. says that he had inquired from a certain pilot, Hernandez Lamero', who had sailed through the Straits of Magellan about the year 1579, how he had found the tides there, and particularly if the tide of the South Sea or Pacific flowed when that of the North Sea or Atlantic ebbed, and vice versâ. Lamero made answer that it was not so, that both tides ebb

once.

See Acosta, iii. 11.

and flow together, and that they meet about seventy leagues from the Atlantic and thirty from the South Sea. With this statement Acosta is altogether satisfied; and so far from trying to compare the time of high water on the opposite shores of the Atlantic, he remarks that but for the Straits of Magellan it would be impossible to determine experimentally which of the two theories he has mentioned is the true one; as only angels could make observations on both sides of the ocean at once, the eyes of men not reaching far enough to do so, and the distance being too great to be crossed by man in the time of a single tide.

DE FLUXU ET REFLUXU MARIS.

CONTEMPLATIO de causis fluxus et refluxus maris, ab antiquis tentata et deinde omissa, junioribus repetita, et tamen varietate opinionum magis labefactata quam discussa, vulgo levi conjectura refertur ad lunam, ob consensum nonnullum motus ejusdem cum motu lunæ. Attamen diligentius perscrutanti vestigia quædam veritatis se ostendunt, quæ ad certiora deducere possint. Itaque ne confusius agatur, primo distinguendi sunt motus maris, qui licet satis inconsiderate multiplicentur a nonnullis, inveniuntur revera tantum quinque; quorum unus tanquam anomalus est, reliqui constantes. Primus ponatur motus ille vagus et varius (quos appellant) currentium. Secundus motus magnus oceani sexhorarius, per quem aquæ ad littora accedunt et recedunt alternatim bis in die, non exacte, sed cum differentia tali quæ periodum constituat menstruam. Tertius motus ipse menstruus, qui nil aliud est quam restitutio motus (ejus quem diximus) diurni ad eadem tempora. Quartus motus semimenstruus, per quem fluxus habent incrementa in noviluniis et pleniluniis, magis quam in dimidiis. Quintus motus semestris, per quem fluxus habent incrementa auctiora et insignia in æquinoctiis. Atque de secundo illo motu magno oceani sexhorario sive diurno, nobis in præsentia sermo est præcipue et ex intentione; de reliquis solummodo in transitu, et quatenus faciant ad hujusce motus explicationem. Primo igitur, quod ad motum currentium attinet, dubium non est quin pro eo ac aquæ vel ab angustiis premuntur, vel a liberis spatiis laxantur, vel in magis declivia festinant ac veluti effunduntur, vel in eminentiora incurrunt ac inscendunt, vel fundo labuntur æquabili, vel fundi sulcis et inæqualitatibus perturbantur, vel in alios currentes incidunt atque cum illis se miscent et compatiuntur, vel etiam a ventis agitantur, præsertim anniversariis sive statariis, qui sub anni certas tempestates redeunt, aquas ex his et simili

bus causis impetus et gurgites suos variare, tam consecutione ipsius motus atque latione quam velocitate sive mensura motus, atque inde constituere eos quos vocant currentes. Itaque in maribus, tum profunditas fossæ sive canalis atque interpositæ voragines et rupes submarinæ, tum curvitates littorum, et terrarum prominentiæ, sinus, fauces, insulæ multis modis locatæ, et similia, plurima possunt, atque agunt prorsus aquas earumque meatus et gurgites in omnes partes, et versus orientem et versus occidentem, austrum versus similiter et septentriones, atque quaquaversum, prout obices illi aut spatia libera et declivia sita sint et invicem configurentur. Segregetur igitur motus iste aquarum particularis et quasi fortuitus, ne forte ille in inquisitione quam prosequimur obturbet. Neminem enim par est constituere et fundare abnegationem eorum quæ mox dicentur de motibus oceani naturalibus et catholicis, opponendo motum istum currentium, veluti cum thesibus illis minime convenientem. Sunt enim currentes meræ compressiones aquarum, aut liberationes a compressione: suntque, ut diximus, particulares et respectivi, prout locantur aquæ et terræ, aut etiam incumbunt venti. Atque hoc quod diximus eo magis memoria tenendum est atque diligenter advertendum, quia motus ille universalis oceani, de quo nunc agitur, adeo mitis est et mollis, ut a compulsionibus currentium omnino dometur et in ordinem redigatur, cedatque, et ad eorum violentiam agatur et regatur. Id autem ita se habere ex eo perspicuum est vel maxime, quod motus simplex fluxus et refluxus maris in pelagi medio, præsertim per maria lata et exporrecta, non sentiatur, sed ad littora tantum. Itaque nihil mirum si sub currentibus (utpote viribus inferior) lateat et quasi destruatur, nisi quod ille ipse motus, ubi currentes secundi fuerint, eorum impetum nonnihil juvet atque incitet; contra ubi adversi, modicum frenet. Misso igitur motu currentium, pergendum est ad motus illos quatuor constantes, sexhorarium, menstruum, semimenstruum, et semestrem; quorum solus sexhorarius videtur fluxus maris agere et ciere, menstruus vero videtur tantummodo motum illum determinare et restituere, semimenstruus autem et semestris eundem augere et intendere. Etenim fluxus et refluxus aquarum qui littora maris ad certa spatia inundat et destituit, et horis variis variat et vi ac copia aquarum, unde reliqui illi tres motus se dant conspiciendos. Itaque de illo ipso motu fluxus et refluxus sigillatim ac proprie (ut instituimus) videndum. Atque primo