Artifacts resulting from the practical experience of artists constitute a domain congruent to the aesthetic dimension of human interaction in the social environment.
Hence one man of industrial energy builds more factories or slums, another as naturally more breweries to supply them; and in municipal or national council his line of action, conscious or unconscious, remainscongruent with these.
Some panoramic simplification of our ideas of history comparable to that of our geography, and if possiblecongruent with this, is plainly what we want.
Emotion which is finding outlet in well-directed action is probably unfavourable to all such 'suggestions' as are not congruentwith its tendencies.
It would be very misleading and in no way congruent with the facts of history to believe that Grotius's doctrines were as a body at once universally accepted.
Such more or less frequent and constant contact of different nations with one another could not exist without giving rise to certain fairly congruent rules and usages to be observed with regard to external relations.
This view does not shut out the other held in regard to Gymnasia, namely, that their business is to preserve and perpetuate a knowledge of classical antiquity; the latter aim must be made congruentwith the former.
The degree to which power generated by education is general depends upon the extent to which it energizes the mind, and particularly the extent to which it overflows into congruent channels.
In our study however, as we have explored essential meanings of these concepts, we have found that they express fundamental values congruent with cherished nursing values.
Certain ideologies and cognitive frameworks that have gained prominence in nursing in the recent past are not fully congruent with the values expressed in the Nursing as Caring theory.
In the first place, some curve joining the two points is involved in the above notion of a combined motion of the two points, or of two other points forming a figure congruent with the first two.
What, I may be asked, is there about a thoroughly non-congruent Geometry, more impossible than this Geometry on the egg?
If we had not our Euclidean measure, which could be moved without distortion, we should have no method of comparing small arcs in different places, and the Geometry of non-congruent surfaces would break down.
Fourthly, how is metrical Geometry possible on non-congruent surfaces, if congruence be the basis of spatial measurement?
For it follows, from the axiom of Free Mobility, that two points, forming a figure congruent with the given pair, can be constructed in any part of space.
The Geometry of non-congruent surfaces is only possible by the use of infinitesimals, and in the infinitesimal all surfaces become plane.
But suppose we had two or more curves through two points, and that all these curves were congruent inter se.
Between the 2n coordinates of any point-pair of a rigid body, there exists an equation which is the same for all congruent point-pairs.
The second axiom of congruence concerns parallelograms on congruent bases and between the same parallels, which have also their other pairs of sides parallel.
We know that it does not alter because we judge it to be congruent to itself in various positions.
It expresses the symmetry of the quantitative relations between two time-systems when the times and lengths in the two systems are measured in congruent units.
The identity of quality between congruent segments is generally of this character.
When the segment between two points A and B is congruent to that between the two points C and D, the quantitative measurements of the two segments are equal.
Shell polyhedral, with sixty triangular, equilateral congruent faces which are nearly plane, and separated by high prominent crests.
The shell is composed of twenty triangular, equilateral and congruent plates, which are sometimes separated by prominent crests; their surface is panelled by smaller hexagonal or polygonal secondary plates.
That there exists a triangle, the sum of whose angles is congruent to a straight angle, the Euclidean; II.
They are not congruent and can never be in the actualized universe.
It is agreed that as convenient as is Euclid's system of space-measurement it is not by any means congruent with the extension of real space objects.
It would seem that these two conditions are absolutely necessary in order that a more congruent relationship may be promoted between these two cognitive faculties.
The phenomenal may approach the ideal as a limit, but can never become fully congruent with it.
And thus when the Thinker is confined to any stage of reality and congruent degree of consciousness it appears that what he there finds is ample for all his purposes.
Two digons arecongruent if their angles are equal.
He endeavors to ascertain just how far or in what degree his hypothesis is congruent with things found in nature.
We therefore speak of congruenttriangles and congruent parallelograms as being those that are superposable.
If the plumb line passes through the mid-point of the base, the two triangles arecongruent and the plumb line is then perpendicular to the base.
In this latter plan the introduction is usually made with the proposition concerning vertical angles, and the two simplest cases of congruent triangles.
Subtract the congruent triangles MXN, ABC, RAQ, and the proposition is proved.
Two triangles are congruent if two angles and the included side of the one are equal respectively to two angles and the included side of the other.
There are dozens of measurements that can be made by simply constructing a triangle that shall be congruent to another triangle.
We, on the other hand, seek to group our propositions where this can conveniently be done, putting the congruent propositions together, those about inequalities by themselves, and the propositions about parallels in one set.
Two right triangles are congruentif the hypotenuse and an adjacent angle of the one are equal respectively to the hypotenuse and an adjacent angle of the other.
The relation between the two may be seen from the following arrangement: Two triangles are congruent if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other.
Our ideals of action must be self-made or self-begotten, but yet they must be congruent with known fact; but the manner of such congruence is hard to see, hard to express.
We may say that attention, which is here wholly a passive process, is controlled by the emotion of the time, and bent in the direction of congruent or harmonious images.
Owing to this circumstance, when the mind is under the temporary sway of any feeling, as, for example, fear, there will be a special readiness to interpret objects by help of images congruent with the emotion.
