Draw a circle. Put a dot in the very center. Draw one line from that dot in any direction until it reaches the perimeter of the circle. Draw another one from that dot in any direction until it reaches the perimeter. Then put an axis directly in the middle between those two lines. Both of the two lines will proceed at exactly the same angle away from the axis between them.
I need a graphic. Somebody who knows what the hell I’m trying to explain here, please go find a graphic and post it.
Yes, I know, but that is irrelevant. Again: What I mean is easily to find out by the text and the picture of my post:
You know from your own language that the 12 is always the pivotal point. For example: You know what it means when you say “12 o’clock”, “3 o’ clock”, or “5 past 12”, “5 past 3”, … and so on. “12 o’clock” <=> where are both hands of your watch? “5 past …” Why “5”? … You know? It is always with reference to the 12.
If the pivotal point was (it is not!) “half past 4”, then both would have identical angles (45 degrees, by the way - but according to the logic/mathematics and technique of all watches your example it is not possible, by the way). It is a tiny part of the task that one has to know what the pivotal point of a watch is.
I understand everything you’ve said clearly. We are on the same page on that part. What I don’t understand is why any mention of the angle is relevant to the problem.
If the big hand is on 10 and the little hand is on 2, and the watch functions like every other watch in the known universe, and the watch has stopped working, then it stopped working at 10:10.
Now when you reveal the trick and I go ‘ohhhhhhh!’, I’m going to smack you. Now spit it out.
If a rooster laid an egg on the top of a 10/12 pitch roof facing north, and an easterly wind of twenty mph was blowing, which side of the roof would the egg roll down?
Arminius obviously meant “the angles from 12 to the hour hand and 12 to the minute hand are identical when it stopped”.
The answer:
[tab]Dubiously assuming that I did the tiny bit of math right:
Time on Clock = 10:9:13.8461538461538[/tab]
But you have to figure out how to find it.
You have to read precisely. Your example here is not my example.You example does not work because of the logic/mathematics and technique of all watches, as I already said.
Oh, it’s one of those problems. An exercise in Zeno’s paradox. Infinite decimals and shit. Is it almost 10:10, almost almost 10:10, or almost almost almost 10:10? Holy moly, you can keep dividing the spaces between the minutes like… infinitely!
And I thought this was going to be something good.
Nuh-uh, because at a smaller level, the noise that composes the sub-atomic particles that compose the atoms that compose the molecules that compose the elements that compose the material that the hands are made of are still moving.
Show me the way of the solution, loudmouth. You have not understood it. This shows me your reaction. Again: Show me the solution process of the task. As I said: it is geometry, algebra, thus mathematics, and it is reading precisely, understanding the text, the logic and common sense in it, thus it is also linguistics. But the core of the task is mathematics. And you have not understood it.
This thread is about mathematics! What do you expect? Wonders? Miracles? “Something good”?
No. If you meant it, then you would have said it. In addition: another line is not needed.
One has to figure out that the 12 is this “line” you are talking about. That is common sense but has nothing to do with the mathematical task. The text of my post was clear. It is your problem, if you are not capable of imagine a line.
I can imagine to make up for your poor problem constraint definition, but I can also get two exact angles by drawing a line to 6, getting a different answer whilw still being correct.
