The Romans, who succeeded the Greeks as the chief civilized power in Europe, failed to set store on their literary and scientific treasures; mathematics was all but neglected; and beyond a few improvements in arithmetical computations, there are no material advances to be recorded.
His followers were chiefly engaged in the arrangement and classification of plants, and while descriptive botany made great advances the physiological department of the science was neglected.
Stewart, Recent Advances in Physical and Inorganic Chemistry, 1909; see also van't Hoff, Lectures on Theoretical and Physical Chemistry, vol.
Great advances were made in the study of indeterminate equations, a branch of analysis in which Diophantus excelled.
One of the causes of these sudden advances is undoubtedly to be found in the acquisition of a new and extremely useful character., Thus the perfect jaw and the perfect pair of lateral fins when first acquired among the fishes favoured a very rapid and for a time unchecked development.
Prince Ferdinand of Bulgaria had long been anxious to legalize his position by a reconciliation, and as soon as he got rid of Stamboloff he made advances to the Russian government.
And I suspect the World Bank's projections are conservative because they do not assume the kind of positive, non-linear advances I expect we will see.
As before, the sums paid out in respect of guaranteed dividend were to be regarded as advances which were to be paid back to the state out of the profits made, when these permitted, and when the advances were wiped out, the profits, after payment of a certain dividend, were to be divided between the state and the railway, two-thirds going to the former and one-third to the latter.
The proper share of each in bringing about this memorable result is not easy to apportion, since they freely imparted and profited by one another's advances and improvements; it need only be said that the fundamental proposition of the invariability of the planetary major axes laid down with restrictions by Laplace in 1773, was finally established by Lagrange in 1776; while Laplace in 1784 proved the subsistence of such a relation between the eccentricities of the planetary orbits on the one hand, and their inclinations on the other, that an increase of either element could, in any single case, proceed only to a very small extent.
The emperor, the governments of England, Holland, France and Sweden, and even the Grand Turk made advances to the tsar.