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  1. Incircle and excircles - Wikipedia

    An excircle or escribed circle[2] of the triangle is a circle lying outside the triangle, tangent to one of its sides, and tangent to the extensions of the other two.

  2. Excircle - Art of Problem Solving

    An excircle is a circle tangent to the extensions of two sides of a triangle and the third side. Triangle and its excircles. For any triangle, there are three unique excircles. This follows from the fact that there is …

  3. Excircles - from Wolfram MathWorld

    Dec 3, 2025 · The circle tangent to these two lines and to the other side of the triangle is called an excircle, or sometimes an escribed circle. The center of the excircle is called the excenter and lies on …

  4. Incircles and Excircles | Brilliant Math & Science Wiki

    Simply bisect each of the angles of the triangle; the point where they meet is the center of the circle! Then use a compass to draw the circle. But what else did you discover doing this? The three angle …

  5. Incircles and Excircles in a Triangle - Alexander Bogomolny

    For the incircle, the point is Gergonne'; for the points of excircle tangency, the point is Nagel's. We have just proved that, in any triangle, the Gergonne and Nagel points are isotomic conjugate of each other.

  6. Excircle Formulae | What is Excircle Formulae -Examples ... - Cuemath

    Boost math skills with daily fun challenges and puzzles. Excircle Formulae in Trigonometry with concepts, examples and solutions. FREE Cuemath material for JEE,CBSE, ICSE for excellent results!

  7. excircle - Wiktionary, the free dictionary

    Nov 14, 2025 · From ex- +‎ circle. Any given triangle has exactly three excircles. A quadrilateral that has an excircle is said to be ex-tangential (or sometimes exscriptible).

  8. EXCIRCLE Definition & Meaning - Merriam-Webster

    The meaning of EXCIRCLE is an escribed circle.

  9. Escribed Circle: Definition, Examples & Quiz - ultimatelexicon.com

    Sep 21, 2025 · An escribed circle, also known as an excircle, is a circle that lies outside a given triangle and is tangent to one of its sides and to the extensions of the other two sides.

  10. Incircle and excircles of a triangle | Math Wiki | Fandom

    An excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct excircles, each …