[Archive!] Pure mathematics, physics, chemistry, etc.: brain-training problems not related to trade in any way - page 318
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№207 == 4*(1+2*sqrt(17)+2*sqrt(10)+2*sqrt(5)+sqrt(2))
Меньше не получается.
// == 85.82846435577902
why sqrt(17) ?
фигасе
ход мысли хоть обьясни
I will not draw. Take a pencil and checkered paper, I will dictate the coordinates. Highlighted lines describe a quarter polygon, the rest by analogy.
0. 0, 0
1. 0, 1
2. 1, 5
3. 2, 8
4. 3, 10
5. 4, 11
6. 6, 12
7. 9, 13
8. 13, 14
9. 14, 14 ..... etc.
etc. - means that the second quarter is drawn in the same way but at an angle of 90 degrees, and then the fourth quarter is drawn coming to the 0.0 point.
Then count the lengths of the segments according to the Pythagoras theorem and add them all up.
а почему sqrt(17) ?
sqrt(17) = sqrt(1^2 + 4^2)
sqrt(17) = sqrt(1^2 + 4^2)
The diagonal of
2 is less by 3 than 1 by 4
maybe sqrt(13)
A Spanish mathematician has explained why people get divorced.
Надо еще поразмыслить. Объяснение решения - почти на страничку.
Yes, your answer is smaller. Hence more correct. I understand how it's drawn. Slightly different pattern.
0. 0, 0
1. 0, 1
2. 1, 4
3. 2, 6
4. 4, 9
5. 5, 10
6. 8, 12
7. 10, 13
8. 13, 14
etc.
Диагональ
2 на 3 меньше чем 1 на 4
может sqrt(13)
чур сегодня в этой ветке не шутить ))
mikhail, your post has left the branch without visitors for the day. this is simply irresponsible!
михаил, в результате вашего поста ветка осталась без посетителей на целый день. это просто безответственно!
Yeah. I've been staring at this thread for an hour now and thinking: what's there to write about?