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Donne, Abraham Cowley, Bellarmine, Charles Cotton, John Pym, John Hales, Kepler, Vieta, Albericus Gentilis, Paul Sarpi, Arminius; with all of whom exists some token of his having communicated, without enumerating many others whom doubtless he saw, Shakspeare, Spenser, Jonson, Beaumont, Massinger, the two Herberts, Marlow, Chapman and the rest.
Donne, Abraham Cowley, Bellarmine, Charles Cotton, John Pym, John Hales, Kepler, Vieta, Albericus Gentilis, Paul Sarpi, Ariminius; with all of whom exist some token of his having communicated, without enumerating many others, whom doubtless he saw, Shakspeare, Spenser, Jonson, Beaumont, Massinger, two Herberts, Marlow, Chapman, and the rest.
It attracted so little attention, that nearly three hundred years elapsed before any European work on the subject appeared. In 1496 Paccioli published his book entitled "Arte Maggiore," or "Alghebra." In 1501, Cardan, of Milan, gave a method for the solution of cubic equations; other improvements were contributed by Scipio Ferreo, 1508, by Tartalea, by Vieta. The Germans now took up the subject.
Montucla, who as a historian of Mathematics has a strong bias against Cardan, gives him credit for the discovery of the fictæ radices, but on the other hand he attributes to Vieta Cardan's discovery of the method of changing a complete cubic equation into one wanting the second term. Ed. 1729, p. 595. Opera, tom. i. p. 66.
An especially fine valley runs up to the N. wall, to the W. side of e. VIETA. One of the finest objects in the third quadrant; a ring-plain 51 miles in diameter, with broad lofty walls, a peak on the west rising to nearly 11,000 feet, and another N. of it to considerably more than 14,000 feet above the interior.
PIAZZI. A walled-plain, about 90 miles in length, some distance S.E. of Vieta, with a complex broken border, including several depressions on the N.W., rising to about 7000 feet above a rather dark interior, on which there is a prominent central mountain.
Donne, Abraham Cowley, Berlarmine, Charles Cotton, John Pym, John Hales, Kepler, Vieta, Albericus Gentilis, Paul Sarpi, Arminius; with all of whom exists some token of his having communicated, without enumerating many others, whom doubtless he saw, Shakspeare, Spenser, Jonson, Beaumont, Massinger, two Herberts, Marlow, Chapman and the rest.
An observant eye perceives already some traces of their efforts in the writings of the mathematicians of the Alexandrian School. These traces, it must be acknowledged, are so slight and so imperfect, that we should truly be justified in referring the origin of this branch of analysis only to the excellent labours of our countryman Vieta. Descartes, to whom we render very imperfect justice when we content ourselves with saying that he taught us much when he taught us to doubt, occupied his attention also for a short time with this problem, and left upon it the indelible impress of his powerful mind. Hudde gave for a particular but very important case rules to which nothing has since been added; Rolle, of the Academy of Sciences, devoted to this one subject his entire life. Among our neighbours on the other side of the channel, Harriot, Newton, Maclaurin, Stirling, Waring, I may say all the illustrious geometers which England produced in the last century, made it also the subject of their researches. Some years afterwards the names of Daniel Barnoulli, of Euler, and of Fontaine came to be added to so many great names. Finally, Lagrange in his turn embarked in the same career, and at the very commencement of his researches he succeeded in substituting for the imperfect, although very ingenious, essays of his predecessors, a complete method which was free from every objection. From that instant the dignity of science was satisfied; but in such a case it would not be permitted to say with the poet: "Le temps ne fait rien
The inner slopes are conspicuously terraced. There is a very inconspicuous central mountain and several large craters on the floor, some of them double. Ten have been counted on the N. half of the interior. On the S.E. of Vieta are two fine overlapping ring-plains, with a crater on the wall common to both.
Mersenius is a very conspicuous ring, forty miles in diameter, east of the Mare Humorum. Vieta, fifty miles across, is also a fine object. Grimaldi, a huge dusky oval, is nearly one hundred and fifty miles in its greatest length.
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