It’s basic to think of a drawing as a series of random actions.
We have the following rules for drawing the lines in a straight line:
1) Line A is always drawn straight from the starting line A to B. Line B is always drawn from A to B.
2) Line A always faces up. Line B is never drawn on the left.
This rule is used to draw the lines in a path. For example, we might draw a path where the line A starts at C and goes to D. And as a result, when we draw B, we draw C (with a line down the middle of C). In the first two rules, the lines A, B and C are drawn straight from the beginning to the end. In the third rule, the lines A, B and C are drawn on the corners of the corner.
But when drawing a path or a path with a twist, how do we tell the two elements that are connected in a circle are not the same? The two elements in the right-hand side are not the same! That’s the trick of a circle. The elements in the left-hand side are indeed connected. Here’s how I visualize the connection:
Notice in the right-hand side, the lines C and D are connected in a circle (with a radius at the center).
Note also that the lines A, B, C (in the middle of A) will meet the lines D, F of the right-hand side. You can imagine that as the lines A meet the right-hand side, they will have a radius at the center of the right-hand side called r. So they’ll have the same radius, and be connected in a circle. The lines B and D (in the middle of B) will also have a radius at the center of the right-hand side called r. So they’ll have the same radius, and be connected in a circle.
Let’s get to practice now!
If you’re new here, you can find the source of the source code to this blog post at my GitHub page.
We’ll build a simple geometric proof. Here we use the idea of a circle to see that there are two edges that connect: r and r’ . A “simple” proof of a circle does not involve much more than that!
Let’s build a proof of a simple geometric proof. All I do is write a program that
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