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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.
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Account of 8 October 1918

 

Alvin C. York

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I had killed over twenty before the German major said he would make them give up. I covered him with my automatic and told him if he didn't make them stop firing I would take off his head next. And he knew I meant it. He told me if I didn't kill him, and if I stopped shooting the others in the trench, he would make them surrender.
He blew a little whistle and they came down and began to gather around and throw down their guns and belts. All but one of them came off the hill with their hands up, and just before that one got to me he threw a little hand grenade which burst in the air in front of me.
I had to touch him off. The rest surrendered without any more trouble. There were nearly 100 of them.

 

Alvin C. York

 

There were over thirty of them in continuous action, and all I could do was touch the Germans off just as fast as I could. I was sharpshooting. I don't think I missed a shot. It was no time to miss.
In order to sight me or to swing their machine guns on me, the Germans had to show their heads above the trench, and every time I saw a head I just touched it off. All the time I kept yelling at them to come down. I didn't want to kill any more than I had to. But it was they or I. And I was giving them the best I had.
Suddenly a German officer and five men jumped out of the trench and charged me with fixed bayonets. I changed to the old automatic and just touched them off too. I touched off the sixth man first, then the fifth, then the fourth, then the third and so on. I wanted them to keep coming.
I didn't want the rear ones to see me touching off the front ones. I was afraid they would drop down and pump a volley into me. — and I got hold of the German major, and he told me if I wouldn't kill any more of them he would make them quit firing. So I told him all right, if he would do it now. So he blew a little whistle, and they quit shooting and come down and gave up.

 

Alvin C. York

 

I don't know whether it was the German major, but one yelled something out in German that we couldn't understand. And then the machine guns on top swung around and opened fire on us. There were about thirty of them. They were commanding us from a hillside less than thirty yards away. They couldn't miss. And they didn't!
They killed all of Savage's squad; they got all of mine but two; they wounded Cutting and killed two of his squad; and Early's squad was well back in the brush on the extreme right and not yet under the direct fire of the machine guns, and so they escaped. All except Early. He went down with three bullets in his body. That left me in command. I was right out there in the open.
And those machine guns were spitting fire and cutting down the undergrowth all around me something awful. And the Germans were yelling orders. You never heard such a racket in all of your life. I didn't have time to dodge behind a tree or dive into the brush, I didn't even have time to kneel or lie down.
I don't know what the other boys were doing. They claim They didn't fire a shot. They said afterwards they were on the right, guarding the prisoners. And the prisoners were lying down and the machine guns had to shoot over them to get me. As soon as the machine guns opened fire on me, I began to exchange shots with them.

 

Alvin C. York

 

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