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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. Gauss circle problem - Wikipedia

    en.wikipedia.org/wiki/Gauss_circle_problem

    If the answer for a given is denoted by () then the following list shows the first few values of () for an integer between 0 and 12 followed by the list of values rounded to the nearest integer: 1, 5, 13, 29, 49, 81, 113, 149, 197, 253, 317, 377, 441 (sequence A000328 in the OEIS )

  4. Annulus (mathematics) - Wikipedia

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

    If =, the region is known as the punctured disk (a disk with a point hole in the center) of radius R around the point a. As a subset of the complex plane, an annulus can be considered as a Riemann surface. The complex structure of an annulus depends only on the ratio ⁠ r / R ⁠.

  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. President of Michigan company stabbed by employee during ...

    www.aol.com/president-michigan-company-stabbed...

    The president of a Michigan-based manufacturer was stabbed by one of the company's employees during a staff meeting, police said. Nathan Joseph Mahoney, 31, has been charged with assault with ...

  7. Watch family surprise grateful grandson with early Christmas ...

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    Watch this family pull off the ultimate double holiday for Mike, who couldn't come home for both!

  8. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    A circle circumference and radius are proportional. The area enclosed and the square of its radius are proportional. The constants of proportionality are 2 π and π respectively. The circle that is centred at the origin with radius 1 is called the unit circle. Thought of as a great circle of the unit sphere, it becomes the Riemannian circle.

  9. Klubnik not enough to carry Clemson over Texas in homecoming ...

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    Cade Klubnik carved up Texas' defense Saturday night like nobody else this season, just not enough to complete a spectacular homecoming. Klubnik led the Tigers (10-4) on a four-play, 55-yard ...

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