For the purpose of trolling, forums often ask the question of how to draw a circle with a dot without lifting the pencil from the paper. In fact, there are many solutions to this problem. Most of them are based on the inaccuracy of the problem formulation.
Instructions
Step 1
The task does not indicate exactly where the point should be located. Draw it directly on the circle, and not inside it - and formally the solution is implemented.
Step 2
Try to take advantage of the inaccurate terminology. The term “circle” is used in the condition, not “circle”. Unlike a circle, a circle is solid. Draw it and then put a bold point inside it. This can be done without removing the pencil from the paper.
Step 3
The problem statement does not say whether a second pencil can be used. It is also not specified how many pencils should not be torn off the paper. Draw a point inside the circle with the second pencil, keeping the first one on the paper.
Step 4
The condition of the problem does not contain information about whether a circle can be connected to a point inside it by a line. Assuming that drawing such a line is not prohibited, draw a circle, and then, without lifting the pencil from the paper, draw a line inside it, and then draw a point. Moreover, since the condition does not say whether the point must be inside the circle, try drawing it outside.
Step 5
As a true formalist, you can solve this problem like this. Since the condition refers specifically to a pencil, not a pen, felt-tip pen, press the pencil to the paper, and then, without tearing it off, draw a circle and a point inside it with another drawing tool.
Step 6
The condition does not say which part of the pencil should not be torn off the paper. Press the opposite side of the pencil to the sheet (the same or the other - the condition does not say anything about this either), and draw a circle and a point with a breakaway with a lead.
Step 7
Draw a circle with a compass. The dot in its center will turn out by itself. Since the compass includes a pencil, formally the problem will be considered solved.
Step 8
Finally, the most elegant way to solve this problem is as follows. Draw a circle, and then fold the corner of the paper along with the pencil, without lifting it, so that the lead touches the paper on the back in the center of the circle. Then pierce the paper with a lead.
Step 9
In case the forum trolls tell you in response that none of the proposed solutions to the problem is correct, give your counter-argument. It consists in the following: it is generally impossible to solve the problem, because after the circle with a point is drawn (no matter how exactly), the pencil will still have to be torn off the paper, and the condition of the problem prohibits this. Do not stick it. But better remember the famous advice: "Don't feed the trolls."
