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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. Circular segment - Wikipedia

    en.wikipedia.org/wiki/Circular_segment

    In the design of windows or doors with rounded tops, c and h may be the only known values and can be used to calculate R for the draftsman's compass setting. One can reconstruct the full dimensions of a complete circular object from fragments by measuring the arc length and the chord length of the fragment. To check hole positions on a circular ...

  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. Risch algorithm - Wikipedia

    en.wikipedia.org/wiki/Risch_Algorithm

    In symbolic computation, the Risch algorithm is a method of indefinite integration used in some computer algebra systems to find antiderivatives.It is named after the American mathematician Robert Henry Risch, a specialist in computer algebra who developed it in 1968.

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    mail.aol.com/?offerId=netscapeconnect-en-us

    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  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. No. 7 Alabama, Jalen Milroe struggle in loss to Oklahoma to ...

    www.aol.com/no-7-alabama-jalen-milroe-042914605.html

    Heck, Houston nearly took down the Sooners, and the Cougars don't even crack the top 10 of the Big 12 standings. Yet, on the brink of a berth in the SEC championship game and potentially a spot in ...