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  2. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    Let O 1 and O 2 be the centers of the two circles, C 1 and C 2 and let r 1 and r 2 be their radii, with r 1 > r 2; in other words, circle C 1 is defined as the larger of the two circles. Two different methods may be used to construct the external and internal tangent lines. External tangents Construction of the outer tangent

  3. Limiting point (geometry) - Wikipedia

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

    An inversion centered at p transforms A and B into concentric circles. [3] The midpoint of the two limiting points is the point where the radical axis of A and B crosses the line through their centers. This intersection point has equal power distance to all the circles in the pencil containing A and B. The limiting points themselves can be ...

  4. Law of sines - Wikipedia

    en.wikipedia.org/wiki/Law_of_sines

    In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, ⁡ = ⁡ = ⁡ =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.

  5. Spherical law of cosines - Wikipedia

    en.wikipedia.org/wiki/Spherical_law_of_cosines

    Given a unit sphere, a "spherical triangle" on the surface of the sphere is defined by the great circles connecting three points u, v, and w on the sphere (shown at right). If the lengths of these three sides are a (from u to v ), b (from u to w ), and c (from v to w ), and the angle of the corner opposite c is C , then the (first) spherical ...

  6. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  7. California man accused of shipping guns, ammunition and ...

    www.aol.com/california-man-accused-shipping-guns...

    December 3, 2024 at 4:20 PM A man living in Southern California has been accused of shipping guns, thousands of rounds of ammunition and other military items to North Korea in shipping containers.

  8. Reset or change your password - AOL Help

    help.aol.com/articles/account-management...

    Enter your security code. Tap Change password. Enter a new password. If these steps don't work in your app, change your password using your mobile browser. Still need help? Call paid premium support at 1-800-358-4860 to get live expert help from AOL Customer Care.

  9. Braves trade DH/OF Jorge Soler to Angels for RHP Griffin ...

    www.aol.com/sports/braves-trade-dh-jorge-soler...

    Soler was expendable from the Braves' lineup with the anticipated return of Ronald Acuña Jr. next season and with the team expected to pick up Marcell Ozuna's $16 million option for 2025.