Imagine a flexible lamina to be introduced so as to coincide with the plane at which resolution is to be effected.
The exports of Baden, which coincide largely with the industries just mentioned, are of considerable importance, but the bulk of its trade consists in the transit of goods.
The Roman civilization and the Latin language disappeared from the countries which they occupied; indeed it seems that the actual boundaries of the German and French languages nearly coincide with those of their dominion.
In other words, if the system (considered as rigid) be made to turn about till the first factor coincides with i and the second with j, the product will coincide with k.
The chains of Shar, Grammos and Pindus constitute a kind of natural boundary, which does not, however, coincide with ethnical limits nor with the Turkish administrative divisions.
Their importance will never be comparable to that of his music; but, just as the reaction against Ruskin's ascendancy as an art-critic has coincided with an increased respect for his ethical and sociological thought, so the rebellious forces that are compelling Wagnerism to grant music a constitution coincide with a growing admiration of his general mental powers.
Its commencement, however, does not, as is sometimes stated, coincide with the very day of the flight, but precedes it by sixty-eight days.
The node: the point may in the course of its motion come to coincide with a former position of the point, the two positions of the line not in general coinciding.
When I asked him if he could do without money, he showed the convenience of money in such a way as to suggest and coincide with the most philosophical accounts of the origin of this institution, and the very derivation of the word pecunia.
Systems in which the two astigmatic surfaces coincide are termed anastigmatic or stigmatic.