Друзья, по техническим причинам я вынужден заранее выложить задачу следующей недели.
На предстоящей неделе вам предстоит найти центр круга с помощью чертежного треугольника и карандаша.
Вам дан круг произвольного радиуса. Задача – имея в собственном распоряжении только чертежный треугольник и карандаш, определить, где находится центр круга.
Мы ждем ваши сканы, фотографии и чертежы, выполненные вами в данной ветке форума.
У меня получилось так
Поду рукой не было треугольника, поэтому начертил в автокаде. Но суть остается неизменной.
1)Проводим касательную к окружности.
2)Проводим касательную к окружности, которая перпендикулярна касательной из 1).
3)Проводим касательную к окружности, которая перпендикулярна касательной из 2).
4)Проводим касательную к окружности, которая перпендикулярна касательной из 3).
Получаем квадрат и проводим в нем две диагонали. Точка пересечения диагоналей - центр окружности. (Получился четурехугольник(квадрат) описанный над окружностью.
Метод №2.
Вписанный угол равен половине дуги =>с помощью треугольника чертим два прямоугольных треугольника, у которых гипотенузы будут диаметрами окружности. Точка пересечения - искомый центр. =)
Скажите, а есть решение, которое не подразумевает, что угол чертежного треугольника равен 90 градусам?
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