So long as the intervening territory was a wilderness no effort was made to define the boundary line.
The remaining groups are harder to define, with the exception of the (3) Capitelliformia, which are mud-living worms of an "oligochaetous" appearance, and with some affinities to that order.
Catholic apologetics must further give a central position to Church authority, which Roman Catholics explicitly define as infallible; but this position too is debated in a late section of their system.
No fault was found in their life and teaching; but they were forbidden to define any sins as being mortal or venial until they had studied for four years.
Two elements define the position of the plane passing through the attracting centre in which the orbit lies.
The circles A'A', which are struck with 2-inch radius, define the first portion of the knuckle.
At the council of Tours (1054) he found a protector in the papal legate, the famous Hildebrand, who, satisfied himself with the fact that Berengar did not deny the real presence of Christ in the sacramental elements, succeeded in persuading the assembly to be content with a general confession from him that the bread and wine, after consecration, were the body and blood of the Lord, without requiring him to define how.
The use of the term " pathological physiology " may at first appear strange, for if we define physiology as the sum of the normal functions of the body or organism, it may be hard to see how there can be a physiology which is pathological.
But no writer has surpassed him in the clearness and brevity with which he could sum up the characteristics of an epoch in the history of the world, or present and define the great forces by which the world has been influenced.
What would happen, do you think, if some one should try to measure our intelligence by our ability to define the commonest words we use?
Meaning in general the "king's court," it is difficult to define the curia regis with precision, but it is important and interesting because it is the germ from which the higher courts of law, the privy council and the cabinet, have sprung.
In 1809 its exclusive trading rights were taken away by Parliament, but its administrative status was thus made clearer, and when after the mutiny of 1857 it was desirable to define British authority in India there seemed nothing unnatural in declaring it to be a possession of the crown.
It would be necessary to enter; but the trenchant way in which he showed that the " Passereaux "-a group of which Cuvier had said, " Son caractere semble d'abord purement negatif," and had then failed to define the limitsdiffered so completely from every other assemblage, while maintaining among its own innumerable members an almost perfect essential homogeneity, is very striking, and shows how admirably he could grasp his subject.
Without resorting to this exaggeration, Mommsen can speak with perfect truth of the " enormous space occupied by the burial vaults of Christian Rome, not surpassed even by the cloacae or sewers of Republican Rome," but the data are too vague to warrant any attempt to define their dimensions.
But in such passages it remains fundamentally human; no attempt is made to define the limits of the human and the divine in its composition - it is all human and all divine.
Stockdale sued the Commons' publisher, and was met by the plea of parliamentary privilege, to which, however, the judges did not give effect, on the ground that they were entitled to define the privileges of the Commons, and that publication of papers was not essential to the functions of parliament.
He protests in favour of Lord Monteagle's motion for inquiry into the sliding scale of corn duties; of Lord Normanby's motion on the queen's speech in 1843, for inquiry into the state of Ireland (then wholly under military occupation); of Lord Radnor's bill to define the constitutional powers of the home secretary, when Sir James Graham opened Mazzini's letters.
Although this transition from the discontinuous to continuous is not truly scientific, yet it materially augmented the development of algebra, and Hankel affirms that if we define algebra as the application of arithmetical operations to both rational and irrational numbers or magnitudes, then the Brahmans are the real inventors of algebra.
It may be advisable to define exactly what is meant by " hypertrophy," as the term is often used in a loose and insignificant sense.
What remains to be done is, not to explain how such a world manages to be what it is, nor how we came to form these notions, but merely this - to expel from the circle and totality of our conceptions those abstract notions which are inconsistent and jarring, or to remodel and define them so that they may constitute a consistent and harmonious view.
This gives to it unity and definiteness, and renders superfluous the attemps that have been made from time to time to define the limits which divide geography from geology on the one hand and from history on the other.
The device of hereditary coat-armour, a growth of the 12th century, did much to define and mark out the noble class throughout Europe.
These were drawn up in the language of the country, a Romance dialect (1288 being the date of the most ancient written code), and are remarkable for the manner in which they define the rights of the sovereign, determining the reciprocal obligations of the viscount and his subjects or vassals.
Only then, expressing known historic facts by equations and comparing the relative significance of this factor, can we hope to define the unknown.
If by the " old Political Economy " we mean the methods and conclusions of certain great writers, who stood head and shoulders above their contemporaries and determined the general character of economic science, we are still under no obligation to define the attitude of the present generation with regard to them.
It has been usual to define mathematics as "the science of discrete and continuous magnitude."
Accordingly, at first sight it seems reasonable to define geometry in some such way as "the science of dimensional quantity."
The pope, no longer possessing any more power than other bishops (though Marsilius recognizes that the supremacy of the Church of Rome goes back to the earliest times of Christianity), is to content himself with a pre-eminence mainly of an honorary kind, without claiming to interpret the Holy Scriptures, define dogmas or distribute benefices; moreover, he is to be elected by the Christian people, or by the delegates of the people, i.e.
We therefore define algebraical division by means of algebraical multiplication, and say that, if P and M are multinomials, the statement " P/M = Q " means that Q is a multinomial such that MQ (or QM) and P are identical.
The signatories were careful to disclaim all idea of a pact or treaty, and to define the declaration as a mere statement of ideals and principles which could not acquire binding force until ratified by elected representatives of the nation as a whole.
It is well known that many attempts to define the process of inflammation have been made from time to time, all of them more or less unsatisfactory.