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"In this favoured portion of the province of Upper Canada, blest with a salubrious climate and a fertile soil, watered with crystal springs and brooks in every direction, reposing upon a table-land whose natural drainage flows uninterruptedly onwards to the streams and great rivers which intersect it in every quarter towards the noble Huron, or Lake St.
The soft, velvety grass, which abounds in such places, is so pliant and yielding that it responds to every breath, and each approaching wave of air is heralded by an advancing curl of the grass. At our feet these grass-waves intersect and recede, giving a weird sensation, as if the ground were moving, or as if we were walking on the water itself.
Even in the first proposition of all, where he constructs an equilateral triangle on a given base, he uses two circles which are assumed to intersect. But no explicit axiom assures us that they do so, and in some kinds of spaces they do not always intersect. It is quite doubtful whether our space belongs to one of these kinds or not.
Prominent in the section of the Netherlands, the name so descriptive of the land where not less than two hundred and twenty-three thousand acres are below the level of the sea and kept constantly drained by artificial means, are the engineering and mechanical devices for the reclamation and preservation of land, the formation of outlet-canals for the centres of commerce, and the bridging of the rivers and estuaries which intersect the maritime portions of the country.
By a century later it was quite closed, and the Isle of Thanet had ceased to exist, except in name, the Stour now flowing seaward by a long bend through Minster Level, while hardly a relic of the Wantsum could be traced in the artificial ditches that intersect the flat and banked-up surface of the St. Nicholas marshes. Meanwhile, Thanet had been growing once more into an agricultural country.
In the centre is a building in which the eight sisters live the whole thus forming a "t" with a building at each end of the lines and one where they intersect. The whole is situated on a hill from which a magnificent view can be obtained of the river and country around. Here I remained for nearly a week and was attended with much skill and care by the medical men and sisters.
In addition to the gigantic Canal system, provision had to be made for suitable reservoirs to impound the water after the seasonal thaws at the poles. To this end immense reservoirs were constructed at most canal intersections. In some instances the reservoirs are established between parallel canals; but in every case smaller canals, or laterals, always intersect at these points.
Many of its streets are so crowded with omnibuses, wagons, dray-carts, &c., that it is almost Impossible for a pedestrian to cross them. When the principal streets intersect each other, the bustle and tumult of trade is so great, that it becomes a dangerous undertaking to attempt to effect a crossing at such a square.
The locus of intersection of two moments is the assemblage of abstractive elements covered by both of them. Now two moments of the same temporal series cannot intersect. Two moments respectively of different families necessarily intersect. Accordingly in the instantaneous space of a moment we should expect the fundamental properties to be marked by the intersections with moments of other families. If M be a given moment, the intersection of M with another moment A is an instantaneous plane in the instantaneous space of M; and if B be a third moment intersecting both M and A, the intersection of M and B is another plane in the space M. Also the common intersection of A, B, and M is the intersection of the two planes in the space M, namely it is a straight line in the space M. An exceptional case arises if B and M intersect in the same plane as A and M. Furthermore if C be a fourth moment, then apart from special cases which we need not consider, it intersects M in a plane which the straight line (A, B, M) meets. Thus there is in general a common intersection of four moments of different families. This common intersection is an assemblage of abstractive elements which are each covered (or 'lie in') all four moments. The three-dimensional property of instantaneous space comes to this, that (apart from special relations between the four moments) any fifth moment either contains the whole of their common intersection or none of it. No further subdivision of the common intersection is possible by means of moments. The 'all or none' principle holds. This is not an
Its houses, with their many-coloured shutters, stand so crowded together as to form around the churches and gloomy law courts a perfect maze the streets which intersect the dark masses of houses meandering aimlessly hither and thither, and throwing off alleyways as narrow as sleeves, and feeling their way along plot-fences and warehouse walls, until, viewed from the hillock above, the town looks as though someone has stirred it up with a stick and dispersed and confused everything that it contains.
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