In this video, I'm going to show you how to try a second angle. This is actually considered to be impossible. But it is possible if you use a technique called noiseless, sometimes called verging or the mark ruler technique. Let's start with two lines crossing like this to form an angle, I'd like to trisect that angle by first drawing a circle from point A, at some arbitrary size like that. Then I'll go ahead and label these two points B, and C. And I'll draw another circle from C to A. And then draw a line from a over to this circle over here.
And I want to make sure that as I bring this over the circle highlights because when I lift my pointer, the end point of that line will be connected to the circle. And I can use the Hand tool to move that endpoint. If I move that around, you'll see that it remains on the surface. cumference of the circle no matter what I do, this is analogous to taking a ruler and pivoting it at point A, and moving it around. And you can imagine different lines that you could draw. So if you're doing this by hand, you don't actually draw in this line yet, you're just going to have the potential to draw that line in.
But for now, we have to set this up in the app like this. I'm going to label this point over here as point D. And I'm also going to draw in a cross piece that connects BNC. Like that. I need to use a special tool here in the app, which is this one right here. And this allows me to transpose the distance. If you were doing this by hand, you would just open your compass from point A to B.
In fact, that's the position the compass should still be in from drawing the circles from before. But what I'm going to do is drag from A to B to set the distance And then I'm going to drag from D over here. And I'm going to place this point right on the line. And I'm going to zoom in there. And you can see that that point is on the diagonal line. It's not on what I'm calling the cross piece.
I'm going to label this point, point E. And I'll zoom out a little bit. Just to emphasize this condition, I'm going to attach a decoration to this, that shows that these two segments are equal. So I'm going to drag from A to B. And then I'll drag from E to D. They should be equal. That is the crux of this technique. If you're using a straight edge and a compass, what you do is you open the compass to this A B distance, and you hold it against the ruler.
And then you you pivot the ruler at point A. And as you pivot that you can see that one Have the compass has to be on the circle. And the other end point he has to be at this magic point where point he crosses that line. It's at this point right here where that we're pointing he crosses the line that you've trisect at the angle. So just to complete this, I'll go to the toolbox here, use my bisection Tool and drag from B to A, and then from A to E. So I've bisected angle B, A E. And just to demonstrate this, I'll drag this again. And so the bisected angle remains active.
But as you can see, when I drag this over and he crosses that line, it's at this very angle right there that we've successfully trisect at the angle. I'll just complete this by drawing in these colors Here on these lines to show that these are the lines that have been these are the angles that have been trisect. angle B a c has been divided now into three equal angles