We may generalize these statements in the following theorem, which is an important deduction from a wider theorem due to G.
Descartes helped to generalize and establish the notion of the fundamental character of uniform motion in a straight line, but otherwise his speculations did not point in the direc tion of sound progress in dynamics; and the next substantial advance that was made in the principles of the subject was due to Huygens (1629-1695).
In Guatemala, as in other parts of Central America (q.v.), each of the three climatic zones, cold, temperate and hot (Berra fria, tierra templada, tierra caliente) has its special charac' eristics, and it is not easy to generalize about the climate of the country as a whole.
Were too peculiar for us to generalize upon these data as to the Seleucid and Antigonid realms. That the Seleucid kings drew in a principal part of their revenues from tribute levied upon the various native races, distributed in their village communities as tillers of the soil goes without saying.
If f =ay, 4 = b' be any two binary forms, we generalize by forming the function (m-k)!
This contest over, Tartalea redoubled his attempts to generalize his methods, and by 1541 he possessed the means for solving any form of cubic equation.
It would hardly be safe to generalize from these observations; the effects may possibly be dependent upon the physical condition of the metals.
From an historical point of view it is characteristic of these additions that they generalize Joshua's successes, and represent the conquest of Canaan, effected under his leadership, as far more complete than the earlier narratives allow us to suppose was the case.
In the former case the cartographer is merely called upon to reduce and generalize the information given by his originals, to make a judicious selection of place names, and to take care that the map is not overcrowded with names and details.