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Their thoughts recalled all the misfortunes they had encountered in this country. They remembered how full of well-warranted hope they had been at Cape Bernouilli, and how cruelly disappointed at Twofold Bay! Paganel was full of feverish agitation. John Mangles, who had watched him since the affair at Snowy River, felt that the geographer was hesitating whether to speak or not to speak.
"On the 20th of December, 1854, a steam-yacht, belonging to a Scotch nobleman, Lord Glenarvan, anchored off Cape Bernouilli, on the western coast of Australia, in the thirty-seventh parallel. On board this yacht were Lord Glenarvan and his wife, a major in the English army, a French geographer, a young girl, and a young boy.
The kinetic theory of gases can point to unquestioned successes; and the idea of Daniel Bernouilli, who, as early as 1738, considered a gaseous mass to be formed of a considerable number of molecules animated by rapid movements of translation, has been put into a form precise enough for mathematical analysis, and we have thus found ourselves in a position to construct a really solid foundation.
Thereupon followed the epicycloids, curves which as the cycloid is generated by a point upon the circumference of a circle rolled along a straight line are generated by a similar point when the path of the circle becomes any curve whatever. Caustic curves, spirals without number, succeeded, of which but one shall claim our notice, the logarithmic spiral, first fully discussed by James Bernouilli.
That the continent of Australia has been subjected to great changes from subigneous agency, and that it has been bodily raised, if I may so express myself, to its present level above the sea; that, as far as we can judge, the north and N.E. portions of the continent are higher than the southern or S.W. parts of it, and that there has consequently been a current or rush of waters, from the one point to the other that this current was divided in its progress into two branches, by hills, or some other intervening obstacle, and that one branch of it, following the line of the Darling, discharged itself into the sea, through the opening between the western shores of Encounter Bay and Cape Bernouilli; that the other, taking a more westerly direction, escaped through the Great Australian Bight.
They must be sailing then in that part of the Indian Ocean which washed the Australian continent, and in four days might hope to see Cape Bernouilli appear on the horizon.
This curve possesses the property of reproducing itself in a variety of curious and interesting ways; for which reason Bernouilli wished it inscribed upon his tomb, with the motto, Eadem mutata resurgo. Shall we wisely shake our heads at all this, as unavailing? Can we not see the hand of Providence, all through history, leading men wiselier than they knew?
IF the yacht had followed the line of the equator, the 196 degrees which separate Australia from America, or, more correctly, Cape Bernouilli from Cape Corrientes, would have been equal to 11,760 geographical miles; but along the 37th parallel these same degrees, owing to the form of the earth, only represent 9,480 miles.
However this may be, as long ago as 1661 a patent was taken out in England, on this principle, by Toogood & Hayes. After this we find the patents of Allen and Rumsay . In France, Daniel Bernouilli presented to the Académic des Sciences a similar project during the last century. Mr. Seydell was the first to build a vessel on this principle.
For a whole week after he was determined in his mind to have one of that particular construction which is made to draw back horizontally, to hinder a passage; and to thrust forwards again to gain a passage of which sorts your worship might have seen three famous ones at Spires before its destruction and one now at Brisac, if I mistake not; but my father advising my uncle Toby, with great earnestness, to have nothing more to do with thrusting bridges and my uncle foreseeing moreover that it would but perpetuate the memory of the Corporal's misfortune he changed his mind for that of the marquis d'Hopital's invention, which the younger Bernouilli has so well and learnedly described, as your worships may see Act.
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