NEUROGEOMETRY Telegram 67
Задача 44:
Автор - Чуев Савва

H - ортоцентр треугольника ABC. Окружность с центром в середине BC, проходящая через H, пересекает BC в точках A1 и A2. Аналогично определяются точки B1, B2, C1, C2. Докажите, что ортоцентры треугольников ABC, A1B1C1 и A2B2C2 лежат на одной прямой.
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Задача 44:
Автор - Чуев Савва

H - ортоцентр треугольника ABC. Окружность с центром в середине BC, проходящая через H, пересекает BC в точках A1 и A2. Аналогично определяются точки B1, B2, C1, C2. Докажите, что ортоцентры треугольников ABC, A1B1C1 и A2B2C2 лежат на одной прямой.

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