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  2. Intersecting chords theorem - Wikipedia

    en.wikipedia.org/wiki/Intersecting_chords_theorem

    The value of the two products in the chord theorem depends only on the distance of the intersection point S from the circle's center and is called the absolute value of the power of S; more precisely, it can be stated that: | | | | = | | | | = where r is the radius of the circle, and d is the distance between the center of the circle and the ...

  3. Annulus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Annulus_(mathematics)

    Each annulus ann(a; r, R) can be holomorphically mapped to a standard one centered at the origin and with outer radius 1 by the map . The inner radius is then ⁠ r / R ⁠ < 1. The Hadamard three-circle theorem is a statement about the maximum value a holomorphic function may take inside an annulus.

  4. Semicircle - Wikipedia

    en.wikipedia.org/wiki/Semicircle

    For a semicircle with a diameter of a + b, the length of its radius is the arithmetic mean of a and b (since the radius is half of the diameter). The geometric mean can be found by dividing the diameter into two segments of lengths a and b, and then connecting their common endpoint to the semicircle with a segment perpendicular to the diameter ...

  5. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    The radius of a circle is perpendicular to the tangent line through its endpoint on the circle's circumference. Conversely, the perpendicular to a radius through the same endpoint is a tangent line. The resulting geometrical figure of circle and tangent line has a reflection symmetry about the axis of the radius.

  6. US farm groups want Trump to spare their workers from ... - AOL

    www.aol.com/news/us-farm-groups-want-trump...

    By Leah Douglas and Ted Hesson. WASHINGTON (Reuters) - U.S. farm industry groups want President-elect Donald Trump to spare their sector from his promise of mass deportations, which could upend a ...

  7. Woman Gifts Her Longtime Mailman a Farewell Card Before ... - AOL

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    For more than two decades, Madison Vaughan has built a sweet relationship with her longtime mailman, Tim, highlighting the importance of community

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  9. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    The incircle is the circle that lies inside the triangle and touches all three sides. Its radius is called the inradius. There are three other important circles, the excircles; they lie outside the triangle and touch one side, as well as the extensions of the other two. The centers of the incircles and excircles form an orthocentric system. [26]

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