The destinies of Italy depended upon the character which Rome.
The Spaniard became the swordsman and executioner of the counter-Reformation, because the power of the House of Austria depended on the imposition of religious unity in Europe.
Even in Hamilton's earlier work it was shown that all such questions were reducible to the solution of linear equations in quaternions; and he proved that this, in turn, depended on the determination of a certain operator, which could be represented for purposes of calculation by a single symbol.
That might be depended upon for the supply of coal, which is of all characters from lignite to anthracite.
But there was no domestic product nor manufacture; the kingdom depended solely upon the now precarious transit dues, and administration was in the hands of a major domus also called khakan.
In the same address he called attention to the conditions of the world's food supply, urging that with the low yield at present realized per acre the supply of wheat would within a comparatively short time cease to be equal to the demand caused by increasing population, and that since nitrogenous manures are essential for an increase in the yield, the hope of averting starvation, as regards those races for whom wheat is a staple food, depended on the ability of the chemist to find an artificial method for fixing the nitrogen of the air.
Livingston and Aaron Burr; and such Federalist control as there was from time to time after 1799 depended upon coalition with one or other of these groups.
Thus in the chapterhouse of a monastery there constantly took place acts of discipline that depended on the theory that the sin of the individual is the concern of the society; open confession was made, open penance exacted.
Meteoric observation has depended upon rough and hurried eye estimates in past years, but the importance of attaining greater accuracy by means of photography has been recognized.
It should be noticed that clocks, on which Tycho Brahe depended very little, were used at Cassel for finding the difference of right ascension between Venus and the sun before sunset; Tycho preferred observing the angular distance between the sun and Venus when the latter was visible in the daytime.