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  2. Intersecting chords theorem - Wikipedia

    en.wikipedia.org/wiki/Intersecting_chords_theorem

    In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.

  3. Multiplication theorem - Wikipedia

    en.wikipedia.org/wiki/Multiplication_theorem

    The duplication formula and the multiplication theorem for the gamma function are the prototypical examples. The duplication formula for the gamma function is (+) = ().It is also called the Legendre duplication formula [1] or Legendre relation, in honor of Adrien-Marie Legendre.

  4. Duplication - Wikipedia

    en.wikipedia.org/wiki/Duplication

    Duplication, or doubling, multiplication by 2; Duplication matrix, a linear transformation dealing with half-vectorization; Doubling the cube, a problem in geometry also known as duplication of the cube; A type of multiplication theorem called the Legendre duplication formula or simply "duplication formula"

  5. 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.

  6. Today's Wordle Hint, Answer for #1271 on Wednesday, December ...

    www.aol.com/todays-wordle-hint-answer-1271...

    SPOILERS BELOW—do not scroll any further if you don't want the answer revealed. The New York Times. Today's Wordle Answer for #1271 on Wednesday, December 11, 2024.

  7. The Daily Weather Update from FOX Weather: Severe weather ...

    www.aol.com/daily-weather-fox-weather-severe...

    Welcome to the Daily Weather Update from FOX Weather. It’s Wednesday, Dec. 11, 2024. Start your day with everything you need to know about today's weather. You can also get a quick briefing of ...

  8. Elon Musk efficiency panel seeks 'high IQ' staff, plans ...

    www.aol.com/news/elon-musk-efficiency-panel...

    Elon Musk's government efficiency panel wants "high IQ" employees and plans weekly livestreams, according to X posts about President-elect Donald Trump's initiative to streamline the U.S. bureaucracy.

  9. Angle trisection - Wikipedia

    en.wikipedia.org/wiki/Angle_trisection

    The triple-angle formula gives an expression relating the cosines of the original angle and its trisection: cos θ = 4 cos 3 ⁠ θ / 3 ⁠ − 3 cos ⁠ θ / 3 ⁠. It follows that, given a segment that is defined to have unit length, the problem of angle trisection is equivalent to constructing a segment whose length is the root of a cubic ...

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