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  2. How to Get Rid of Hemorrhoids at Homeā€”Plus When to ... - AOL

    www.aol.com/lifestyle/rid-painful-hemorrhoids...

    Recovery from the surgical removal of hemorrhoids (a.k.a. hemorrhoidectomy) can be extremely painful, notes Dr. Bernstein, but it’s one of the most effective ways to get rid of hemorrhoids for good.

  3. Tangent circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_circles

    In geometry, tangent circles (also known as kissing circles) are circles in a common plane that intersect in a single point. There are two types of tangency : internal and external. Many problems and constructions in geometry are related to tangent circles; such problems often have real-life applications such as trilateration and maximizing the ...

  4. Hemorrhoid - Wikipedia

    en.wikipedia.org/wiki/Hemorrhoid

    Hemorrhoids (or haemorrhoids), also known as piles, are vascular structures in the anal canal. [ 7 ] [ 8 ] In their normal state, they are cushions that help with stool control. [ 2 ] They become a disease when swollen or inflamed ; the unqualified term hemorrhoid is often used to refer to the disease. [ 8 ]

  5. Method of normals - Wikipedia

    en.wikipedia.org/wiki/Method_of_normals

    In calculus, the method of normals was a technique invented by Descartes for finding normal and tangent lines to curves. It represented one of the earliest methods for constructing tangents to curves. The method hinges on the observation that the radius of a circle is always normal to the circle itself. With this in mind Descartes would ...

  6. How to Prevent and Treat Hemorrhoids, According to Doctors - AOL

    www.aol.com/lifestyle/prevent-treat-hemorrhoids...

    Common symptoms of hemorrhoids include itching, bleeding, and rectal pain. Read More : The Best Way to Treat Insomnia Internal hemorrhoids can be uncomfortable but aren't typically very painful.

  7. Casey's theorem - Wikipedia

    en.wikipedia.org/wiki/Casey's_theorem

    If , are tangent from different sides of (one in and one out), is the length of the interior common tangent. The converse of Casey's theorem is also true. [4] That is, if equality holds, the circles are tangent to a common circle.

  8. Monge's theorem - Wikipedia

    en.wikipedia.org/wiki/Monge's_theorem

    Monge's theorem states that the three such points given by the three pairs of circles always lie in a straight line. In the case of two of the circles being of equal size, the two external tangent lines are parallel. In this case Monge's theorem asserts that the other two intersection points must lie on a line parallel to those two external ...

  9. Pencil (geometry) - Wikipedia

    en.wikipedia.org/wiki/Pencil_(geometry)

    It consists of a family of real circles, all tangent to each other at a single common point. The degenerate circle with radius zero at that point also belongs to the pencil. A family of concentric circles centered at a common center (may be considered a special case of a hyperbolic pencil where the other point is the point at infinity).

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