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Before that time he had known a single well policed block between the station and his place of work. He still thought of streets as more or less open strips along which people moved, north or south, east or west, purposefully from Point A to Point B with perhaps one right-angle turn, two at the most, pausing only to tip hats or look into shop windows.
So it was that one night, as Jurgis was on his way out with his gang, an engine and a loaded car dashed round one of the innumerable right-angle branches and struck him upon the shoulder, hurling him against the concrete wall and knocking him senseless. When he opened his eyes again it was to the clanging of the bell of an ambulance.
Then, still regarding him out of the comer of my eye, I turned Cleopatra slowly round. "'Ole 'aad!" he snorted. With this sop to his own dignity, the boundary man slapped his Episcopalian charger round the barrel not round the flank, for the animal had none with his doubled cart-whip, and turned off the track at a right-angle, beckoning me to follow.
It was just as true at the dawn of creation that the square described on the hypotenuse of a right-angle triangle is equal to the square described on the other two sides, as it was when Pythagoras enunciated the theorem. "Thou shall not kill," is a law written by the Divine hand amid tempest and fire, but it stands.
For example, a complete event is never disclosed in sense-awareness, and thus the object which is the sum total of objects situated in an event as thus inter-related is a mere abstract concept. Again a right-angle is a perceived object which can be situated in many events; but, though rectangularity is posited by sense-awareness, the majority of geometrical relations are not so posited.
They poise in the air above the water with their long bills pointed downwards at a right-angle to their fluttering bodies, searching the depths for their prey; and then they drop with the quickness of thought into the stream. The other kingfisher coloured like ours but bigger who waits on an overhanging branch, I saw too, but the evolutions of the hovering variety were more absorbing.
The particular streets we select run at a right-angle from a main thoroughfare, a railway divides them from a beautiful park, and on this railway City merchants pass daily to and from their suburban homes. I question whether in the whole of London more misery, vice and poverty can be found located in one limited area than in the streets we are about to visit.
Sweep, however, insisted on my taking the road which lay at a right-angle to my course. I felt some annoyance at his persistence, as I was both tired and sleepy; but, having no choice in the matter, I followed his lead. Having walked some two or three hundred yards down his street, he released his hold, dancing round me, then running on for a few yards and looking back to see if I were following.
Dick ran after him, crowding on his heels and shouting meaningless hopes. Abruptly they came to a right-angle drift, and then, but a few yards down it, they discovered an upraise, crude and uncared-for, but climbing into the higher darkness, and down this there streamed fresh air.
Now Aristarchus sights the sun in place of Thales' ship, and, sighting the moon at the same time, measures the angle and establishes the shape of his right-angle triangle. This does not tell him the distance of the sun, to be sure, for he does not know the length of his base-line that is to say, of the line between the moon and the earth.
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