Задача третьей недели

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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