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As Hegel well knew, the ascent of reason has never followed a straight line.
--
Chapter Eight, The Steep Ascent, p. 298

 

Paul A. Baran

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But if some mind very different from ours were to look upon some property of some curved line as we do on the evenness of a straight line, he would not recognize as such the evenness of a straight line; nor would he arrange the elements of his geometry according to that very different system, and would investigate quite other relationships as I have suggested in my notes.
We fashion our geometry on the properties of a straight line because that seems to us to be the simplest of all. But really all lines that are continuous and of a uniform nature are just as simple as one another. Another kind of mind which might form an equally clear mental perception of some property of any one of these curves, as we do of the congruence of a straight line, might believe these curves to be the simplest of all, and from that property of these curves build up the elements of a very different geometry, referring all other curves to that one, just as we compare them to a straight line. Indeed, these minds, if they noticed and formed an extremely clear perception of some property of, say, the parabola, would not seek, as our geometers do, to rectify the parabola, they would endeavor, if one may coin the expression, to parabolify the straight line.

 

Roger Joseph Boscovich

 

How could one argue with a man who was always drawing lines and circles to explain the position; who, one day, drew a diagram [here Michael illustrated with pen and paper] saying 'take a point A, draw a straight line to point B, now three-fourths of the way up the line take a point C. The straight line AB is the road to the Republic; C is where we have got to along the road, we canot move any further along the straight road to our goal B; take a point out there, D [off the line AB]. Now if we bend the line a bit from C to D then we can bend it a little further, to another point E and if we can bend it to CE that will get us around Cathal Brugha which is what we want!' How could you talk to a man like that?

 

Eamon de Valera

 

Having heard, or more probably read somewhere, in the days when I thought I would be well advised to educate myself, or amuse myself, or stupefy myself, or kill time, that when a man in a forest thinks he is going forward in a straight line, in reality he is going in a circle, I did my best to go in a circle, hoping in this way to go in a straight line. For I stopped being half-witted and became sly, whenever I took the trouble … and if I did not go in a rigorously straight line, with my system of going in a circle, at least I did not go in a circle, and that was something.

 

Samuel Beckett

 

The major suggested we go down a gully, but I knew that was the wrong way. And I told him we were not going down any gully. We were going straight through the German front line trenches back to the American lines.
It was their second line that I had captured. We sure did get a long way behind the German trenches! And so I marched them straight at that old German front line trench. And some more machine guns swung around and began to spit at us. I told the major to blow his whistle or I would take off his head and theirs too. So he blew his whistle and they all surrendered — all except one. I made the major order him to surrender twice. But he wouldn't. And I had to touch him off. I hated to do it. But I couldn't afford to take any chances and so I had to let him have it.

 

Alvin C. York

 

I was presented to Monsieur de Montmagny, the viceroy. He asked my nationality, name, and rank. When I had satisfied him by recounting the success of my voyage, which he either believed or pretended to, he kindly lent me a room in his apartment. I was happy to meet a man capable of enlightened opinions, one who was not surprised when I told him that the earth must have turned beneath me while I was aloft. Having begun my ascent two leagues from Paris, I had come down in almost a straight line to Canada.

 

Cyrano de Bergerac