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url url url url
  2. Weltenzyklopädie
  3. برون‌چرخ‌زاد - ویکی‌پدیا، دانشنامهٔ آزاد
برون‌چرخ‌زاد - ویکی‌پدیا، دانشنامهٔ آزاد
از ویکی‌پدیا، دانشنامهٔ آزاد

برون‌چرخ‌زاد (به انگلیسی: Epicycloid) در ریاضیاتی به منحنی غلتانی گفته می‌شود که توسط نقطه‌ای ترسیم می‌شود که روی دایره‌ای به شعاع r قرار دارد و این دایره در بیرون یک دایره ثابت با شعاع R می‌غلتد.

خم قرمزرنگ، یک برون‌چرخه‌زاد است که با چرخش دایرهٔ کوچک سیاه‌رنگ در درون محیط دایرهٔ بزرگ آبی‌رنگ پدید می‌آید. (پارامترهای آن عبارتند از: R = 3, r = 1,).

معادله‌های پارامتری برای برون‌چرخ‌زاد عبارتند از:

یا:

حالت‌های برعکس برون‌چرخ‌زاد شامل درون‌چرخ‌زاد[۱] با d = r می‌شود.

جستارهای وابسته

منابع

  1. ↑ hypocycloid

مشارکت‌کنندگان ویکی‌پدیا. «Epicycloid». در دانشنامهٔ ویکی‌پدیای انگلیسی، بازبینی‌شده در سپتامبر ۲۰۱۲.

پانویس

آیکون خرد

این یک مقالهٔ خرد ریاضیات است. می‌توانید با گسترش آن به ویکی‌پدیا کمک کنید.

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