Hence within narrow limits Kopp's determinations were carried out under coincident conditions, and therefore any regularities presented by the critical volumes should be revealed in the specific volumes at the boiling-point.
The important result is that the theory of invariants is from a certain point of view coincident with the theory of non-unitary symmetric functions.
We will now consider in detail the important case in which uniform plane waves are resolved at a surface coincident with a wave-front (OQ).
The incident waves are thus plane, and are limited to a plane aperture coincident with a wave-front.
2s = 277-h/A f (14) e = Af /h (15) The bands are thus of the same width as those due to two infinitely narrow apertures coincident with the central lines of the retarded and unretarded streams, the subject of examination being itself a fine luminous line.
And III., for the composition of a poem and its acceptance as part of the Levitical liturgy are not necessarily coincident in date, except in psalms written with a direct liturgical purpose.
The rise of speculative philosophy in Greece was coincident with the beginning of prose composition, and many of the earliest philosophers wrote in the prose of the Ionic dialect; others, however, and especially the writers of the Greek colonies in Italy and Sicily, expounded their systems in continuous poems composed in the epic hexameter.
The principal continuous thoroughfares within the metropolis, though each bears a succession of names, are coincident with the main roads converging upon the capital from all parts of England.
The straight highway from the northwest which as Edgware Road joins Oxford Street at the Marble Arch (the north-eastern entrance to Hyde Park) is coincident with the Roman Watling Street.
The probability seems to be that the earliest Perceval-Grail romance was composed at Fescamp, and was coincident with the transformation, under the influence of the Saint-Sang legend, of the originally Pagan talisman known as the Grail into a Christian relic, and that this romance was more or less at the root of all subsequent versions.
It is remarkable that the dry season (October to April) is coincident with the period of the west monsoon.
It was coincident with the building-out of the feudal system.
This success was coincident with an improvement in the fortunes of the Rahn family, and the marriage took place at Zurich in October 1793.
Their dynasty of monarchs can be traced back with tolerable certainty to a period coincident with the reign of Henry IV.
(1) the planes of incidence and reflection are coincident, and (2) the angles of incidence and reflection are equal.
In answering this question we must consider East and West separately; for their histories are no longer coincident, as they had been in the time of the Roman dominion.
The foundation of the Mongolian empire in the beginning of the 13th century did not disturb the position of the Nestorian church; but the revival of the Mahommedan power, which was coincident with the downfall of the Mongolian empire, was pregnant with disaster for her.
But on the celestial sphere the great circles of these two planes are coincident, so that this distinction is not necessary (see Astronomy: Spherical).
To comprehend these views aright, we must first remember that what in the first half of the 19th century, and also in the days of Lamennais, was understood by Democracy was not coincident with the meaning of this expression as it was afterwards used, and as the Christian Socialists understood it.
The general structure of the trans-Himalayan chains appears to indicate that the main axis of upheaval of the whole vast mass of the Tibetan highlands is to be found on two approximately parallel lines, represented the one by the Kuen-lun and the other by a line which is more or less coincident with the watershed between India and the central lake region, extending from Lake Pangong to Tengri Nor, the plateau enclosed between the two being wrinkled by minor folds, of which the relative elevation is comparatively low, averaging from woo to 1500 ft.
Birkeland (19), who has made a special study of magnetic disturbances in the Arctic, proceeding on the hypothesis that they arise from electric currents in the atmosphere, and who has thence attempted to deduce the position and intensity of these currents, asserts that whilst in the case of many storms the data were insufficient, when it was possible to fix the position of the mean line of flow of the hypothetical current relatively to an auroral arc, he invariably found the directions coincident or nearly so.
Its wave-length is probably very near 55'71 tenth-metres, and it is very close to, if not absolutely coincident with, a prominent line in the spectrum of krypton.
The conversion was coincident with Carlyle's submission to a new and very potent influence.
Though it was not till later times that the network of class divisions and subdivisions attained anything like the degree of intricacy which it shows in these latter days, still in its origin the caste-system is undoubtedly coincident with the rise of Brahmanism, and may even be said to be of the very essence of it.3 The cardinal principle which underlies the system of caste is the preservation of purity of descent, and purity of religious belief and ceremonial usage.
Persian (Iranian) Languages.TJnder the name of Persian is included the whole of that great family of languages occupying a field nearly coincident with the modern Iran, of which true Persian is simply the western division.
What a sorrowful act must that be--the covering up of wells! coincident with the opening of wells of tears.