First, we should define something we can easily refer to. A pencil is like this: There are two parts to an pencil: The tip (known colloquially here as the “ball”) and the head (also known colloquially as the “lead”). We can think of them as two different bodies of wood that get together while a pencil is held in one hand. The head is the part in the center of the pencil. The tip is the one that looks at the paper while the pencil is held down and tilted forward. It’s what we call its “lead”. This is what our pencil comes down and looks through. The paper, known as a “lead” and the rest of the pencil, known colloquially here as the “ball”, are all essentially made by the same process. The tip and lead both get “blown into” and are part of the same body of wood. We will come back to this point later. Now take the pencil, with the head facing it, and hold it up to the paper. Look at the tip. Now look at the pencil. It’s all the same. The tip is the thing we are calling the lead and its all the same. The “ball” is the same as the head of the pencil (there is a ball, but you know what I mean). The ball is the end that’s pointing at the paper, and the end of the pencil and head are the same thing at the same time, just rotated out of the way. (If we were to draw the tip of the pencil from the ball, we would find that the tip is the same as our lead, although we’d see that the tip and the lead have different angles – and be unsure why.) Let us turn our attention to how a pencil works. The point of the pencil is where the lead and the tip meet. The two parts are “separated” by the top and bottom of the pencil. By using a pencil tip-and-ball we are making both the ball and the head visible at the same time, but both parts remain attached to the same wood. By using a ball-and-lead we are making both the wood and the tip visible at the same time, and the two parts remain attached to the same wood. In both cases, one end of the pencil is moving forwards, at a constant speed, while the other is moving backwards, at a constant speed. In this image a pencil can move a number of times forward and at a constant speed, one
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